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Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01001/*
2 * Elliptic curves over GF(p): curve-specific data and functions
3 *
Bence Szépkúti1e148272020-08-07 13:07:28 +02004 * Copyright The Mbed TLS Contributors
Manuel Pégourié-Gonnard37ff1402015-09-04 14:21:07 +02005 * SPDX-License-Identifier: Apache-2.0
6 *
7 * Licensed under the Apache License, Version 2.0 (the "License"); you may
8 * not use this file except in compliance with the License.
9 * You may obtain a copy of the License at
10 *
11 * http://www.apache.org/licenses/LICENSE-2.0
12 *
13 * Unless required by applicable law or agreed to in writing, software
14 * distributed under the License is distributed on an "AS IS" BASIS, WITHOUT
15 * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
16 * See the License for the specific language governing permissions and
17 * limitations under the License.
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +010018 */
19
Gilles Peskinedb09ef62020-06-03 01:43:33 +020020#include "common.h"
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +010021
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +020022#if defined(MBEDTLS_ECP_C)
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +010023
Manuel Pégourié-Gonnard7f809972015-03-09 17:05:11 +000024#include "mbedtls/ecp.h"
Hanno Becker4f8e8e52018-12-14 15:08:03 +000025#include "mbedtls/platform_util.h"
Janos Follath24eed8d2019-11-22 13:21:35 +000026#include "mbedtls/error.h"
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +010027
Gilles Peskine618be2e2021-04-03 21:47:53 +020028#include "ecp_invasive.h"
29
Rich Evans00ab4702015-02-06 13:43:58 +000030#include <string.h>
31
Janos Follathb0697532016-08-18 12:38:46 +010032#if !defined(MBEDTLS_ECP_ALT)
33
Hanno Becker4f8e8e52018-12-14 15:08:03 +000034/* Parameter validation macros based on platform_util.h */
35#define ECP_VALIDATE_RET( cond ) \
36 MBEDTLS_INTERNAL_VALIDATE_RET( cond, MBEDTLS_ERR_ECP_BAD_INPUT_DATA )
37#define ECP_VALIDATE( cond ) \
38 MBEDTLS_INTERNAL_VALIDATE( cond )
39
Manuel Pégourié-Gonnard0223ab92015-10-05 11:40:01 +010040#if ( defined(__ARMCC_VERSION) || defined(_MSC_VER) ) && \
41 !defined(inline) && !defined(__cplusplus)
Paul Bakker498fd352013-12-02 22:17:24 +010042#define inline __inline
Manuel Pégourié-Gonnard20af64d2015-07-07 18:33:39 +020043#endif
Paul Bakker498fd352013-12-02 22:17:24 +010044
Manuel Pégourié-Gonnardbaee5d42013-12-06 13:38:41 +010045/*
46 * Conversion macros for embedded constants:
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +020047 * build lists of mbedtls_mpi_uint's from lists of unsigned char's grouped by 8, 4 or 2
Manuel Pégourié-Gonnardbaee5d42013-12-06 13:38:41 +010048 */
Manuel Pégourié-Gonnard7b538892015-04-09 17:00:17 +020049#if defined(MBEDTLS_HAVE_INT32)
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +010050
Hanno Becker1eeca412018-10-15 12:01:35 +010051#define BYTES_TO_T_UINT_4( a, b, c, d ) \
52 ( (mbedtls_mpi_uint) (a) << 0 ) | \
53 ( (mbedtls_mpi_uint) (b) << 8 ) | \
54 ( (mbedtls_mpi_uint) (c) << 16 ) | \
55 ( (mbedtls_mpi_uint) (d) << 24 )
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +010056
Manuel Pégourié-Gonnard14a96c52013-12-11 12:15:28 +010057#define BYTES_TO_T_UINT_2( a, b ) \
58 BYTES_TO_T_UINT_4( a, b, 0, 0 )
59
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +010060#define BYTES_TO_T_UINT_8( a, b, c, d, e, f, g, h ) \
Manuel Pégourié-Gonnard69ab3542013-12-12 15:50:08 +010061 BYTES_TO_T_UINT_4( a, b, c, d ), \
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +010062 BYTES_TO_T_UINT_4( e, f, g, h )
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +010063
64#else /* 64-bits */
65
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +010066#define BYTES_TO_T_UINT_8( a, b, c, d, e, f, g, h ) \
Hanno Becker1eeca412018-10-15 12:01:35 +010067 ( (mbedtls_mpi_uint) (a) << 0 ) | \
68 ( (mbedtls_mpi_uint) (b) << 8 ) | \
69 ( (mbedtls_mpi_uint) (c) << 16 ) | \
70 ( (mbedtls_mpi_uint) (d) << 24 ) | \
71 ( (mbedtls_mpi_uint) (e) << 32 ) | \
72 ( (mbedtls_mpi_uint) (f) << 40 ) | \
73 ( (mbedtls_mpi_uint) (g) << 48 ) | \
74 ( (mbedtls_mpi_uint) (h) << 56 )
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +010075
Manuel Pégourié-Gonnard14a96c52013-12-11 12:15:28 +010076#define BYTES_TO_T_UINT_4( a, b, c, d ) \
77 BYTES_TO_T_UINT_8( a, b, c, d, 0, 0, 0, 0 )
78
79#define BYTES_TO_T_UINT_2( a, b ) \
80 BYTES_TO_T_UINT_8( a, b, 0, 0, 0, 0, 0, 0 )
81
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +020082#endif /* bits in mbedtls_mpi_uint */
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +010083
kXuanba9cb762021-04-08 14:32:06 +080084#define ECP_MPI_INIT(s, n, p) {s, (n), (mbedtls_mpi_uint *)(p)}
85
86#define ECP_POINT_INIT_XY_Z0(x, y) { \
87 ECP_MPI_INIT(1, sizeof(x) / sizeof(mbedtls_mpi_uint), x),\
88 ECP_MPI_INIT(1, sizeof(y) / sizeof(mbedtls_mpi_uint), y), \
89 ECP_MPI_INIT(1, 0, NULL) }
90#define ECP_POINT_INIT_XY_Z1(x, y) { \
91 ECP_MPI_INIT(1, sizeof(x) / sizeof(mbedtls_mpi_uint), x),\
92 ECP_MPI_INIT(1, sizeof(y) / sizeof(mbedtls_mpi_uint), y), \
93 ECP_MPI_INIT(1, 1, mpi_one) }
94
95#if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED) || \
96 defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED) || \
97 defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED) || \
98 defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED) || \
99 defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED) || \
100 defined(MBEDTLS_ECP_DP_BP256R1_ENABLED) || \
101 defined(MBEDTLS_ECP_DP_BP384R1_ENABLED) || \
102 defined(MBEDTLS_ECP_DP_BP512R1_ENABLED) || \
103 defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED) || \
104 defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED) || \
105 defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
106/* For these curves, we build the group parameters dynamically. */
107#define ECP_LOAD_GROUP
108static mbedtls_mpi_uint mpi_one[] = {1};
109#endif
110
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +0100111/*
Manuel Pégourié-Gonnard14a96c52013-12-11 12:15:28 +0100112 * Note: the constants are in little-endian order
113 * to be directly usable in MPIs
114 */
115
116/*
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +0100117 * Domain parameters for secp192r1
118 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200119#if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED)
120static const mbedtls_mpi_uint secp192r1_p[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +0100121 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
122 BYTES_TO_T_UINT_8( 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
123 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +0100124};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200125static const mbedtls_mpi_uint secp192r1_b[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +0100126 BYTES_TO_T_UINT_8( 0xB1, 0xB9, 0x46, 0xC1, 0xEC, 0xDE, 0xB8, 0xFE ),
127 BYTES_TO_T_UINT_8( 0x49, 0x30, 0x24, 0x72, 0xAB, 0xE9, 0xA7, 0x0F ),
128 BYTES_TO_T_UINT_8( 0xE7, 0x80, 0x9C, 0xE5, 0x19, 0x05, 0x21, 0x64 ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +0100129};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200130static const mbedtls_mpi_uint secp192r1_gx[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +0100131 BYTES_TO_T_UINT_8( 0x12, 0x10, 0xFF, 0x82, 0xFD, 0x0A, 0xFF, 0xF4 ),
132 BYTES_TO_T_UINT_8( 0x00, 0x88, 0xA1, 0x43, 0xEB, 0x20, 0xBF, 0x7C ),
133 BYTES_TO_T_UINT_8( 0xF6, 0x90, 0x30, 0xB0, 0x0E, 0xA8, 0x8D, 0x18 ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +0100134};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200135static const mbedtls_mpi_uint secp192r1_gy[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +0100136 BYTES_TO_T_UINT_8( 0x11, 0x48, 0x79, 0x1E, 0xA1, 0x77, 0xF9, 0x73 ),
137 BYTES_TO_T_UINT_8( 0xD5, 0xCD, 0x24, 0x6B, 0xED, 0x11, 0x10, 0x63 ),
138 BYTES_TO_T_UINT_8( 0x78, 0xDA, 0xC8, 0xFF, 0x95, 0x2B, 0x19, 0x07 ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +0100139};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200140static const mbedtls_mpi_uint secp192r1_n[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +0100141 BYTES_TO_T_UINT_8( 0x31, 0x28, 0xD2, 0xB4, 0xB1, 0xC9, 0x6B, 0x14 ),
142 BYTES_TO_T_UINT_8( 0x36, 0xF8, 0xDE, 0x99, 0xFF, 0xFF, 0xFF, 0xFF ),
143 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +0100144};
kXuanba9cb762021-04-08 14:32:06 +0800145#if MBEDTLS_ECP_FIXED_POINT_OPTIM == 1
146static const mbedtls_mpi_uint secp192r1_T_0_X[] = {
147 BYTES_TO_T_UINT_8( 0x12, 0x10, 0xFF, 0x82, 0xFD, 0x0A, 0xFF, 0xF4 ),
148 BYTES_TO_T_UINT_8( 0x00, 0x88, 0xA1, 0x43, 0xEB, 0x20, 0xBF, 0x7C ),
149 BYTES_TO_T_UINT_8( 0xF6, 0x90, 0x30, 0xB0, 0x0E, 0xA8, 0x8D, 0x18 ),
150};
151static const mbedtls_mpi_uint secp192r1_T_0_Y[] = {
152 BYTES_TO_T_UINT_8( 0x11, 0x48, 0x79, 0x1E, 0xA1, 0x77, 0xF9, 0x73 ),
153 BYTES_TO_T_UINT_8( 0xD5, 0xCD, 0x24, 0x6B, 0xED, 0x11, 0x10, 0x63 ),
154 BYTES_TO_T_UINT_8( 0x78, 0xDA, 0xC8, 0xFF, 0x95, 0x2B, 0x19, 0x07 ),
155};
156static const mbedtls_mpi_uint secp192r1_T_1_X[] = {
157 BYTES_TO_T_UINT_8( 0x97, 0x9E, 0xE3, 0x60, 0x59, 0xD1, 0xC4, 0xC2 ),
158 BYTES_TO_T_UINT_8( 0x91, 0xBD, 0x22, 0xD7, 0x2D, 0x07, 0xBD, 0xB6 ),
159 BYTES_TO_T_UINT_8( 0x74, 0x2A, 0xCF, 0x33, 0xF0, 0xBE, 0xD1, 0xED ),
160};
161static const mbedtls_mpi_uint secp192r1_T_1_Y[] = {
162 BYTES_TO_T_UINT_8( 0x88, 0x71, 0x4B, 0xA8, 0xED, 0x7E, 0xC9, 0x1A ),
163 BYTES_TO_T_UINT_8( 0x8E, 0x2A, 0xF6, 0xDF, 0x0E, 0xE8, 0x4C, 0x0F ),
164 BYTES_TO_T_UINT_8( 0xC5, 0x35, 0xF7, 0x8A, 0xC3, 0xEC, 0xDE, 0x1E ),
165};
166static const mbedtls_mpi_uint secp192r1_T_2_X[] = {
167 BYTES_TO_T_UINT_8( 0x00, 0x67, 0xC2, 0x1D, 0x32, 0x8F, 0x10, 0xFB ),
168 BYTES_TO_T_UINT_8( 0xBB, 0x2D, 0x17, 0xF3, 0xE4, 0xFE, 0xD8, 0x13 ),
169 BYTES_TO_T_UINT_8( 0x55, 0x45, 0x10, 0x70, 0x2C, 0x3E, 0x52, 0x3E ),
170};
171static const mbedtls_mpi_uint secp192r1_T_2_Y[] = {
172 BYTES_TO_T_UINT_8( 0x61, 0xF1, 0x04, 0x5D, 0xEE, 0xD4, 0x56, 0xE6 ),
173 BYTES_TO_T_UINT_8( 0x78, 0xB7, 0x38, 0x27, 0x61, 0xAA, 0x81, 0x87 ),
174 BYTES_TO_T_UINT_8( 0x71, 0x37, 0xD7, 0x0E, 0x29, 0x0E, 0x11, 0x14 ),
175};
176static const mbedtls_mpi_uint secp192r1_T_3_X[] = {
177 BYTES_TO_T_UINT_8( 0x1E, 0x35, 0x52, 0xC6, 0x31, 0xB7, 0x27, 0xF5 ),
178 BYTES_TO_T_UINT_8( 0x3D, 0xD4, 0x15, 0x98, 0x0F, 0xE7, 0xF3, 0x6A ),
179 BYTES_TO_T_UINT_8( 0xD3, 0x31, 0x70, 0x35, 0x09, 0xA0, 0x2B, 0xC2 ),
180};
181static const mbedtls_mpi_uint secp192r1_T_3_Y[] = {
182 BYTES_TO_T_UINT_8( 0x21, 0x75, 0xA7, 0x4C, 0x88, 0xCF, 0x5B, 0xE4 ),
183 BYTES_TO_T_UINT_8( 0x17, 0x17, 0x48, 0x8D, 0xF2, 0xF0, 0x86, 0xED ),
184 BYTES_TO_T_UINT_8( 0x49, 0xCF, 0xFE, 0x6B, 0xB0, 0xA5, 0x06, 0xAB ),
185};
186static const mbedtls_mpi_uint secp192r1_T_4_X[] = {
187 BYTES_TO_T_UINT_8( 0x18, 0x6A, 0xDC, 0x9A, 0x6D, 0x7B, 0x47, 0x2E ),
188 BYTES_TO_T_UINT_8( 0x12, 0xFC, 0x51, 0x12, 0x62, 0x66, 0x0B, 0x59 ),
189 BYTES_TO_T_UINT_8( 0xCD, 0x40, 0x93, 0xA0, 0xB5, 0x5A, 0x58, 0xD7 ),
190};
191static const mbedtls_mpi_uint secp192r1_T_4_Y[] = {
192 BYTES_TO_T_UINT_8( 0xEF, 0xCB, 0xAF, 0xDC, 0x0B, 0xA1, 0x26, 0xFB ),
193 BYTES_TO_T_UINT_8( 0xDA, 0x36, 0x9D, 0xA3, 0xD7, 0x3B, 0xAD, 0x39 ),
194 BYTES_TO_T_UINT_8( 0xB4, 0x3B, 0x05, 0x9A, 0xA8, 0xAA, 0x69, 0xB2 ),
195};
196static const mbedtls_mpi_uint secp192r1_T_5_X[] = {
197 BYTES_TO_T_UINT_8( 0x6D, 0xD9, 0xD1, 0x4D, 0x4A, 0x6E, 0x96, 0x1E ),
198 BYTES_TO_T_UINT_8( 0x17, 0x66, 0x32, 0x39, 0xC6, 0x57, 0x7D, 0xE6 ),
199 BYTES_TO_T_UINT_8( 0x92, 0xA0, 0x36, 0xC2, 0x45, 0xF9, 0x00, 0x62 ),
200};
201static const mbedtls_mpi_uint secp192r1_T_5_Y[] = {
202 BYTES_TO_T_UINT_8( 0xB4, 0xEF, 0x59, 0x46, 0xDC, 0x60, 0xD9, 0x8F ),
203 BYTES_TO_T_UINT_8( 0x24, 0xB0, 0xE9, 0x41, 0xA4, 0x87, 0x76, 0x89 ),
204 BYTES_TO_T_UINT_8( 0x13, 0xD4, 0x0E, 0xB2, 0xFA, 0x16, 0x56, 0xDC ),
205};
206static const mbedtls_mpi_uint secp192r1_T_6_X[] = {
207 BYTES_TO_T_UINT_8( 0x0A, 0x62, 0xD2, 0xB1, 0x34, 0xB2, 0xF1, 0x06 ),
208 BYTES_TO_T_UINT_8( 0xB2, 0xED, 0x55, 0xC5, 0x47, 0xB5, 0x07, 0x15 ),
209 BYTES_TO_T_UINT_8( 0x17, 0xF6, 0x2F, 0x94, 0xC3, 0xDD, 0x54, 0x2F ),
210};
211static const mbedtls_mpi_uint secp192r1_T_6_Y[] = {
212 BYTES_TO_T_UINT_8( 0xFD, 0xA6, 0xD4, 0x8C, 0xA9, 0xCE, 0x4D, 0x2E ),
213 BYTES_TO_T_UINT_8( 0xB9, 0x4B, 0x46, 0xCC, 0xB2, 0x55, 0xC8, 0xB2 ),
214 BYTES_TO_T_UINT_8( 0x3A, 0xAE, 0x31, 0xED, 0x89, 0x65, 0x59, 0x55 ),
215};
216static const mbedtls_mpi_uint secp192r1_T_7_X[] = {
217 BYTES_TO_T_UINT_8( 0xCC, 0x0A, 0xD1, 0x1A, 0xC5, 0xF6, 0xEA, 0x43 ),
218 BYTES_TO_T_UINT_8( 0x0C, 0xFC, 0x0C, 0x1A, 0xFB, 0xA0, 0xC8, 0x70 ),
219 BYTES_TO_T_UINT_8( 0xEA, 0xFD, 0x53, 0x6F, 0x6D, 0xBF, 0xBA, 0xAF ),
220};
221static const mbedtls_mpi_uint secp192r1_T_7_Y[] = {
222 BYTES_TO_T_UINT_8( 0x2D, 0xB0, 0x7D, 0x83, 0x96, 0xE3, 0xCB, 0x9D ),
223 BYTES_TO_T_UINT_8( 0x6F, 0x6E, 0x55, 0x2C, 0x20, 0x53, 0x2F, 0x46 ),
224 BYTES_TO_T_UINT_8( 0xA6, 0x66, 0x00, 0x17, 0x08, 0xFE, 0xAC, 0x31 ),
225};
226static const mbedtls_mpi_uint secp192r1_T_8_X[] = {
227 BYTES_TO_T_UINT_8( 0x09, 0x12, 0x97, 0x3A, 0xC7, 0x57, 0x45, 0xCD ),
228 BYTES_TO_T_UINT_8( 0x38, 0x25, 0x99, 0x00, 0xF6, 0x97, 0xB4, 0x64 ),
229 BYTES_TO_T_UINT_8( 0x9B, 0x74, 0xE6, 0xE6, 0xA3, 0xDF, 0x9C, 0xCC ),
230};
231static const mbedtls_mpi_uint secp192r1_T_8_Y[] = {
232 BYTES_TO_T_UINT_8( 0x32, 0xF4, 0x76, 0xD5, 0x5F, 0x2A, 0xFD, 0x85 ),
233 BYTES_TO_T_UINT_8( 0x62, 0x80, 0x7E, 0x3E, 0xE5, 0xE8, 0xD6, 0x63 ),
234 BYTES_TO_T_UINT_8( 0xE2, 0xAD, 0x1E, 0x70, 0x79, 0x3E, 0x3D, 0x83 ),
235};
236static const mbedtls_mpi_uint secp192r1_T_9_X[] = {
237 BYTES_TO_T_UINT_8( 0x8E, 0x15, 0xBB, 0xB3, 0x42, 0x6A, 0xA1, 0x7C ),
238 BYTES_TO_T_UINT_8( 0x9B, 0x58, 0xCB, 0x43, 0x25, 0x00, 0x14, 0x68 ),
239 BYTES_TO_T_UINT_8( 0x06, 0x4E, 0x93, 0x11, 0xE0, 0x32, 0x54, 0x98 ),
240};
241static const mbedtls_mpi_uint secp192r1_T_9_Y[] = {
242 BYTES_TO_T_UINT_8( 0xA7, 0x52, 0xA2, 0xB4, 0x57, 0x32, 0xB9, 0x11 ),
243 BYTES_TO_T_UINT_8( 0x7D, 0x43, 0xA1, 0xB1, 0xFB, 0x01, 0xE1, 0xE7 ),
244 BYTES_TO_T_UINT_8( 0xA6, 0xFB, 0x5A, 0x11, 0xB8, 0xC2, 0x03, 0xE5 ),
245};
246static const mbedtls_mpi_uint secp192r1_T_10_X[] = {
247 BYTES_TO_T_UINT_8( 0x1C, 0x2B, 0x71, 0x26, 0x4E, 0x7C, 0xC5, 0x32 ),
248 BYTES_TO_T_UINT_8( 0x1F, 0xF5, 0xD3, 0xA8, 0xE4, 0x95, 0x48, 0x65 ),
249 BYTES_TO_T_UINT_8( 0x55, 0xAE, 0xD9, 0x5D, 0x9F, 0x6A, 0x22, 0xAD ),
250};
251static const mbedtls_mpi_uint secp192r1_T_10_Y[] = {
252 BYTES_TO_T_UINT_8( 0xD9, 0xCC, 0xA3, 0x4D, 0xA0, 0x1C, 0x34, 0xEF ),
253 BYTES_TO_T_UINT_8( 0xA3, 0x3C, 0x62, 0xF8, 0x5E, 0xA6, 0x58, 0x7D ),
254 BYTES_TO_T_UINT_8( 0x6D, 0x6E, 0x66, 0x8A, 0x3D, 0x17, 0xFF, 0x0F ),
255};
256static const mbedtls_mpi_uint secp192r1_T_11_X[] = {
257 BYTES_TO_T_UINT_8( 0xF7, 0xCD, 0xA8, 0xDD, 0xD1, 0x20, 0x5C, 0xEA ),
258 BYTES_TO_T_UINT_8( 0xBF, 0xFE, 0x17, 0xE2, 0xCF, 0xEA, 0x63, 0xDE ),
259 BYTES_TO_T_UINT_8( 0x74, 0x51, 0xC9, 0x16, 0xDE, 0xB4, 0xB2, 0xDD ),
260};
261static const mbedtls_mpi_uint secp192r1_T_11_Y[] = {
262 BYTES_TO_T_UINT_8( 0x59, 0xBE, 0x12, 0xD7, 0xA3, 0x0A, 0x50, 0x33 ),
263 BYTES_TO_T_UINT_8( 0x53, 0x87, 0xC5, 0x8A, 0x76, 0x57, 0x07, 0x60 ),
264 BYTES_TO_T_UINT_8( 0xE5, 0x1F, 0xC6, 0x1B, 0x66, 0xC4, 0x3D, 0x8A ),
265};
266static const mbedtls_mpi_uint secp192r1_T_12_X[] = {
267 BYTES_TO_T_UINT_8( 0x28, 0xA4, 0x85, 0x13, 0x8F, 0xA7, 0x35, 0x19 ),
268 BYTES_TO_T_UINT_8( 0x58, 0x0D, 0xFD, 0xFF, 0x1B, 0xD1, 0xD6, 0xEF ),
269 BYTES_TO_T_UINT_8( 0xBA, 0x7A, 0xD0, 0xC3, 0xB4, 0xEF, 0x39, 0x66 ),
270};
271static const mbedtls_mpi_uint secp192r1_T_12_Y[] = {
272 BYTES_TO_T_UINT_8( 0x3A, 0xFE, 0xA5, 0x9C, 0x34, 0x30, 0x49, 0x40 ),
273 BYTES_TO_T_UINT_8( 0xDE, 0xC5, 0x39, 0x26, 0x06, 0xE3, 0x01, 0x17 ),
274 BYTES_TO_T_UINT_8( 0xE2, 0x2B, 0x66, 0xFC, 0x95, 0x5F, 0x35, 0xF7 ),
275};
276static const mbedtls_mpi_uint secp192r1_T_13_X[] = {
277 BYTES_TO_T_UINT_8( 0x58, 0xCF, 0x54, 0x63, 0x99, 0x57, 0x05, 0x45 ),
278 BYTES_TO_T_UINT_8( 0x71, 0x6F, 0x00, 0x5F, 0x65, 0x08, 0x47, 0x98 ),
279 BYTES_TO_T_UINT_8( 0x62, 0x2A, 0x90, 0x6D, 0x67, 0xC6, 0xBC, 0x45 ),
280};
281static const mbedtls_mpi_uint secp192r1_T_13_Y[] = {
282 BYTES_TO_T_UINT_8( 0x8A, 0x4D, 0x88, 0x0A, 0x35, 0x9E, 0x33, 0x9C ),
283 BYTES_TO_T_UINT_8( 0x7C, 0x17, 0x0C, 0xF8, 0xE1, 0x7A, 0x49, 0x02 ),
284 BYTES_TO_T_UINT_8( 0xA4, 0x44, 0x06, 0x8F, 0x0B, 0x70, 0x2F, 0x71 ),
285};
286static const mbedtls_mpi_uint secp192r1_T_14_X[] = {
287 BYTES_TO_T_UINT_8( 0x85, 0x4B, 0xCB, 0xF9, 0x8E, 0x6A, 0xDA, 0x1B ),
288 BYTES_TO_T_UINT_8( 0x29, 0x43, 0xA1, 0x3F, 0xCE, 0x17, 0xD2, 0x32 ),
289 BYTES_TO_T_UINT_8( 0x5D, 0x0D, 0xD2, 0x6C, 0x82, 0x37, 0xE5, 0xFC ),
290};
291static const mbedtls_mpi_uint secp192r1_T_14_Y[] = {
292 BYTES_TO_T_UINT_8( 0x4A, 0x3C, 0xF4, 0x92, 0xB4, 0x8A, 0x95, 0x85 ),
293 BYTES_TO_T_UINT_8( 0x85, 0x96, 0xF1, 0x0A, 0x34, 0x2F, 0x74, 0x7E ),
294 BYTES_TO_T_UINT_8( 0x7B, 0xA1, 0xAA, 0xBA, 0x86, 0x77, 0x4F, 0xA2 ),
295};
296static const mbedtls_mpi_uint secp192r1_T_15_X[] = {
297 BYTES_TO_T_UINT_8( 0xE5, 0x7F, 0xEF, 0x60, 0x50, 0x80, 0xD7, 0xD4 ),
298 BYTES_TO_T_UINT_8( 0x31, 0xAC, 0xC9, 0xFE, 0xEC, 0x0A, 0x1A, 0x9F ),
299 BYTES_TO_T_UINT_8( 0x6B, 0x2F, 0xBE, 0x91, 0xD7, 0xB7, 0x38, 0x48 ),
300};
301static const mbedtls_mpi_uint secp192r1_T_15_Y[] = {
302 BYTES_TO_T_UINT_8( 0xB1, 0xAE, 0x85, 0x98, 0xFE, 0x05, 0x7F, 0x9F ),
303 BYTES_TO_T_UINT_8( 0x91, 0xBE, 0xFD, 0x11, 0x31, 0x3D, 0x14, 0x13 ),
304 BYTES_TO_T_UINT_8( 0x59, 0x75, 0xE8, 0x30, 0x01, 0xCB, 0x9B, 0x1C ),
305};
306static const mbedtls_ecp_point secp192r1_T[16] = {
307 ECP_POINT_INIT_XY_Z1(secp192r1_T_0_X, secp192r1_T_0_Y),
308 ECP_POINT_INIT_XY_Z0(secp192r1_T_1_X, secp192r1_T_1_Y),
309 ECP_POINT_INIT_XY_Z0(secp192r1_T_2_X, secp192r1_T_2_Y),
310 ECP_POINT_INIT_XY_Z0(secp192r1_T_3_X, secp192r1_T_3_Y),
311 ECP_POINT_INIT_XY_Z0(secp192r1_T_4_X, secp192r1_T_4_Y),
312 ECP_POINT_INIT_XY_Z0(secp192r1_T_5_X, secp192r1_T_5_Y),
313 ECP_POINT_INIT_XY_Z0(secp192r1_T_6_X, secp192r1_T_6_Y),
314 ECP_POINT_INIT_XY_Z0(secp192r1_T_7_X, secp192r1_T_7_Y),
315 ECP_POINT_INIT_XY_Z0(secp192r1_T_8_X, secp192r1_T_8_Y),
316 ECP_POINT_INIT_XY_Z0(secp192r1_T_9_X, secp192r1_T_9_Y),
317 ECP_POINT_INIT_XY_Z0(secp192r1_T_10_X, secp192r1_T_10_Y),
318 ECP_POINT_INIT_XY_Z0(secp192r1_T_11_X, secp192r1_T_11_Y),
319 ECP_POINT_INIT_XY_Z0(secp192r1_T_12_X, secp192r1_T_12_Y),
320 ECP_POINT_INIT_XY_Z0(secp192r1_T_13_X, secp192r1_T_13_Y),
321 ECP_POINT_INIT_XY_Z0(secp192r1_T_14_X, secp192r1_T_14_Y),
322 ECP_POINT_INIT_XY_Z0(secp192r1_T_15_X, secp192r1_T_15_Y),
323};
324#else
325#define secp192r1_T NULL
326#endif
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200327#endif /* MBEDTLS_ECP_DP_SECP192R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +0100328
329/*
330 * Domain parameters for secp224r1
331 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200332#if defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED)
333static const mbedtls_mpi_uint secp224r1_p[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +0100334 BYTES_TO_T_UINT_8( 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
335 BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF ),
336 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
337 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00 ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +0100338};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200339static const mbedtls_mpi_uint secp224r1_b[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +0100340 BYTES_TO_T_UINT_8( 0xB4, 0xFF, 0x55, 0x23, 0x43, 0x39, 0x0B, 0x27 ),
341 BYTES_TO_T_UINT_8( 0xBA, 0xD8, 0xBF, 0xD7, 0xB7, 0xB0, 0x44, 0x50 ),
342 BYTES_TO_T_UINT_8( 0x56, 0x32, 0x41, 0xF5, 0xAB, 0xB3, 0x04, 0x0C ),
Manuel Pégourié-Gonnard14a96c52013-12-11 12:15:28 +0100343 BYTES_TO_T_UINT_4( 0x85, 0x0A, 0x05, 0xB4 ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +0100344};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200345static const mbedtls_mpi_uint secp224r1_gx[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +0100346 BYTES_TO_T_UINT_8( 0x21, 0x1D, 0x5C, 0x11, 0xD6, 0x80, 0x32, 0x34 ),
347 BYTES_TO_T_UINT_8( 0x22, 0x11, 0xC2, 0x56, 0xD3, 0xC1, 0x03, 0x4A ),
348 BYTES_TO_T_UINT_8( 0xB9, 0x90, 0x13, 0x32, 0x7F, 0xBF, 0xB4, 0x6B ),
Manuel Pégourié-Gonnard14a96c52013-12-11 12:15:28 +0100349 BYTES_TO_T_UINT_4( 0xBD, 0x0C, 0x0E, 0xB7 ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +0100350};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200351static const mbedtls_mpi_uint secp224r1_gy[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +0100352 BYTES_TO_T_UINT_8( 0x34, 0x7E, 0x00, 0x85, 0x99, 0x81, 0xD5, 0x44 ),
353 BYTES_TO_T_UINT_8( 0x64, 0x47, 0x07, 0x5A, 0xA0, 0x75, 0x43, 0xCD ),
354 BYTES_TO_T_UINT_8( 0xE6, 0xDF, 0x22, 0x4C, 0xFB, 0x23, 0xF7, 0xB5 ),
Manuel Pégourié-Gonnard14a96c52013-12-11 12:15:28 +0100355 BYTES_TO_T_UINT_4( 0x88, 0x63, 0x37, 0xBD ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +0100356};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200357static const mbedtls_mpi_uint secp224r1_n[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +0100358 BYTES_TO_T_UINT_8( 0x3D, 0x2A, 0x5C, 0x5C, 0x45, 0x29, 0xDD, 0x13 ),
359 BYTES_TO_T_UINT_8( 0x3E, 0xF0, 0xB8, 0xE0, 0xA2, 0x16, 0xFF, 0xFF ),
360 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
Manuel Pégourié-Gonnard14a96c52013-12-11 12:15:28 +0100361 BYTES_TO_T_UINT_4( 0xFF, 0xFF, 0xFF, 0xFF ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +0100362};
kXuanba9cb762021-04-08 14:32:06 +0800363#if MBEDTLS_ECP_FIXED_POINT_OPTIM == 1
364static const mbedtls_mpi_uint secp224r1_T_0_X[] = {
365 BYTES_TO_T_UINT_8( 0x21, 0x1D, 0x5C, 0x11, 0xD6, 0x80, 0x32, 0x34 ),
366 BYTES_TO_T_UINT_8( 0x22, 0x11, 0xC2, 0x56, 0xD3, 0xC1, 0x03, 0x4A ),
367 BYTES_TO_T_UINT_8( 0xB9, 0x90, 0x13, 0x32, 0x7F, 0xBF, 0xB4, 0x6B ),
368 BYTES_TO_T_UINT_8( 0xBD, 0x0C, 0x0E, 0xB7, 0x00, 0x00, 0x00, 0x00 ),
369};
370static const mbedtls_mpi_uint secp224r1_T_0_Y[] = {
371 BYTES_TO_T_UINT_8( 0x34, 0x7E, 0x00, 0x85, 0x99, 0x81, 0xD5, 0x44 ),
372 BYTES_TO_T_UINT_8( 0x64, 0x47, 0x07, 0x5A, 0xA0, 0x75, 0x43, 0xCD ),
373 BYTES_TO_T_UINT_8( 0xE6, 0xDF, 0x22, 0x4C, 0xFB, 0x23, 0xF7, 0xB5 ),
374 BYTES_TO_T_UINT_8( 0x88, 0x63, 0x37, 0xBD, 0x00, 0x00, 0x00, 0x00 ),
375};
376static const mbedtls_mpi_uint secp224r1_T_1_X[] = {
377 BYTES_TO_T_UINT_8( 0xE0, 0xF9, 0xB8, 0xD0, 0x3D, 0xD2, 0xD3, 0xFA ),
378 BYTES_TO_T_UINT_8( 0x1E, 0xFD, 0x99, 0x26, 0x19, 0xFE, 0x13, 0x6E ),
379 BYTES_TO_T_UINT_8( 0x1C, 0x0E, 0x4C, 0x48, 0x7C, 0xA2, 0x17, 0x01 ),
380 BYTES_TO_T_UINT_8( 0x3D, 0xA3, 0x13, 0x57, 0x00, 0x00, 0x00, 0x00 ),
381};
382static const mbedtls_mpi_uint secp224r1_T_1_Y[] = {
383 BYTES_TO_T_UINT_8( 0x9F, 0x16, 0x5C, 0x8F, 0xAA, 0xED, 0x0F, 0x58 ),
384 BYTES_TO_T_UINT_8( 0xBF, 0xC5, 0x43, 0x34, 0x93, 0x05, 0x2A, 0x4C ),
385 BYTES_TO_T_UINT_8( 0xE4, 0xE3, 0x6C, 0xCA, 0xC6, 0x14, 0xC2, 0x25 ),
386 BYTES_TO_T_UINT_8( 0xD3, 0x43, 0x6C, 0xD7, 0x00, 0x00, 0x00, 0x00 ),
387};
388static const mbedtls_mpi_uint secp224r1_T_2_X[] = {
389 BYTES_TO_T_UINT_8( 0xC3, 0x5A, 0x98, 0x1E, 0xC8, 0xA5, 0x42, 0xA3 ),
390 BYTES_TO_T_UINT_8( 0x98, 0x49, 0x56, 0x78, 0xF8, 0xEF, 0xED, 0x65 ),
391 BYTES_TO_T_UINT_8( 0x1B, 0xBB, 0x64, 0xB6, 0x4C, 0x54, 0x5F, 0xD1 ),
392 BYTES_TO_T_UINT_8( 0x2F, 0x0C, 0x33, 0xCC, 0x00, 0x00, 0x00, 0x00 ),
393};
394static const mbedtls_mpi_uint secp224r1_T_2_Y[] = {
395 BYTES_TO_T_UINT_8( 0xFA, 0x79, 0xCB, 0x2E, 0x08, 0xFF, 0xD8, 0xE6 ),
396 BYTES_TO_T_UINT_8( 0x2E, 0x1F, 0xD4, 0xD7, 0x57, 0xE9, 0x39, 0x45 ),
397 BYTES_TO_T_UINT_8( 0xD8, 0xD6, 0x3B, 0x0A, 0x1C, 0x87, 0xB7, 0x6A ),
398 BYTES_TO_T_UINT_8( 0xEB, 0x30, 0xD8, 0x05, 0x00, 0x00, 0x00, 0x00 ),
399};
400static const mbedtls_mpi_uint secp224r1_T_3_X[] = {
401 BYTES_TO_T_UINT_8( 0xAD, 0x79, 0x74, 0x9A, 0xE6, 0xBB, 0xC2, 0xC2 ),
402 BYTES_TO_T_UINT_8( 0xB4, 0x5B, 0xA6, 0x67, 0xC1, 0x91, 0xE7, 0x64 ),
403 BYTES_TO_T_UINT_8( 0xF0, 0xDF, 0x38, 0x82, 0x19, 0x2C, 0x4C, 0xCA ),
404 BYTES_TO_T_UINT_8( 0xD1, 0x2E, 0x39, 0xC5, 0x00, 0x00, 0x00, 0x00 ),
405};
406static const mbedtls_mpi_uint secp224r1_T_3_Y[] = {
407 BYTES_TO_T_UINT_8( 0x99, 0x36, 0x78, 0x4E, 0xAE, 0x5B, 0x02, 0x76 ),
408 BYTES_TO_T_UINT_8( 0x14, 0xF6, 0x8B, 0xF8, 0xF4, 0x92, 0x6B, 0x42 ),
409 BYTES_TO_T_UINT_8( 0xBA, 0x4D, 0x71, 0x35, 0xE7, 0x0C, 0x2C, 0x98 ),
410 BYTES_TO_T_UINT_8( 0x9B, 0xA5, 0x1F, 0xAE, 0x00, 0x00, 0x00, 0x00 ),
411};
412static const mbedtls_mpi_uint secp224r1_T_4_X[] = {
413 BYTES_TO_T_UINT_8( 0xAF, 0x1C, 0x4B, 0xDF, 0x5B, 0xF2, 0x51, 0xB7 ),
414 BYTES_TO_T_UINT_8( 0x05, 0x74, 0xB1, 0x5A, 0xC6, 0x0F, 0x0E, 0x61 ),
415 BYTES_TO_T_UINT_8( 0xE8, 0x24, 0x09, 0x62, 0xAF, 0xFC, 0xDB, 0x45 ),
416 BYTES_TO_T_UINT_8( 0x43, 0xE1, 0x80, 0x55, 0x00, 0x00, 0x00, 0x00 ),
417};
418static const mbedtls_mpi_uint secp224r1_T_4_Y[] = {
419 BYTES_TO_T_UINT_8( 0x3C, 0x82, 0xFE, 0xAD, 0xC3, 0xE5, 0xCF, 0xD8 ),
420 BYTES_TO_T_UINT_8( 0x24, 0xA2, 0x62, 0x17, 0x76, 0xF0, 0x5A, 0xFA ),
421 BYTES_TO_T_UINT_8( 0x3E, 0xB8, 0xE5, 0xAC, 0xB7, 0x66, 0x38, 0xAA ),
422 BYTES_TO_T_UINT_8( 0x97, 0xFD, 0x86, 0x05, 0x00, 0x00, 0x00, 0x00 ),
423};
424static const mbedtls_mpi_uint secp224r1_T_5_X[] = {
425 BYTES_TO_T_UINT_8( 0x59, 0xD3, 0x0C, 0x3C, 0xD1, 0x66, 0xB0, 0xF1 ),
426 BYTES_TO_T_UINT_8( 0xBC, 0x59, 0xB4, 0x8D, 0x90, 0x10, 0xB7, 0xA2 ),
427 BYTES_TO_T_UINT_8( 0x96, 0x47, 0x9B, 0xE6, 0x55, 0x8A, 0xE4, 0xEE ),
428 BYTES_TO_T_UINT_8( 0xB1, 0x49, 0xDB, 0x78, 0x00, 0x00, 0x00, 0x00 ),
429};
430static const mbedtls_mpi_uint secp224r1_T_5_Y[] = {
431 BYTES_TO_T_UINT_8( 0x41, 0x97, 0xED, 0xDE, 0xFF, 0xB3, 0xDF, 0x48 ),
432 BYTES_TO_T_UINT_8( 0x10, 0xB9, 0x83, 0xB7, 0xEB, 0xBE, 0x40, 0x8D ),
433 BYTES_TO_T_UINT_8( 0xAF, 0xD3, 0xD3, 0xCD, 0x0E, 0x82, 0x79, 0x3D ),
434 BYTES_TO_T_UINT_8( 0x9B, 0x83, 0x1B, 0xF0, 0x00, 0x00, 0x00, 0x00 ),
435};
436static const mbedtls_mpi_uint secp224r1_T_6_X[] = {
437 BYTES_TO_T_UINT_8( 0x3F, 0x22, 0xBB, 0x54, 0xD3, 0x31, 0x56, 0xFC ),
438 BYTES_TO_T_UINT_8( 0x80, 0x36, 0xE5, 0xE0, 0x89, 0x96, 0x8E, 0x71 ),
439 BYTES_TO_T_UINT_8( 0xE1, 0xEF, 0x0A, 0xED, 0xD0, 0x11, 0x4A, 0xFF ),
440 BYTES_TO_T_UINT_8( 0x15, 0x00, 0x57, 0x27, 0x00, 0x00, 0x00, 0x00 ),
441};
442static const mbedtls_mpi_uint secp224r1_T_6_Y[] = {
443 BYTES_TO_T_UINT_8( 0x13, 0xCA, 0x3D, 0xF7, 0x64, 0x9B, 0x6E, 0x85 ),
444 BYTES_TO_T_UINT_8( 0x90, 0xE3, 0x70, 0x6B, 0x41, 0xD7, 0xED, 0x8F ),
445 BYTES_TO_T_UINT_8( 0x02, 0x44, 0x44, 0x80, 0xCE, 0x13, 0x37, 0x92 ),
446 BYTES_TO_T_UINT_8( 0x94, 0x73, 0x80, 0x79, 0x00, 0x00, 0x00, 0x00 ),
447};
448static const mbedtls_mpi_uint secp224r1_T_7_X[] = {
449 BYTES_TO_T_UINT_8( 0xB7, 0x4D, 0x70, 0x7D, 0x31, 0x0F, 0x1C, 0x58 ),
450 BYTES_TO_T_UINT_8( 0x6D, 0x35, 0x88, 0x47, 0xC4, 0x24, 0x78, 0x3F ),
451 BYTES_TO_T_UINT_8( 0xBA, 0xF0, 0xCD, 0x91, 0x81, 0xB3, 0xDE, 0xB6 ),
452 BYTES_TO_T_UINT_8( 0x04, 0xCE, 0xC6, 0xF7, 0x00, 0x00, 0x00, 0x00 ),
453};
454static const mbedtls_mpi_uint secp224r1_T_7_Y[] = {
455 BYTES_TO_T_UINT_8( 0xE9, 0x9C, 0x2D, 0xE8, 0xD2, 0x00, 0x8F, 0x10 ),
456 BYTES_TO_T_UINT_8( 0xD5, 0x5E, 0x7C, 0x0E, 0x0C, 0x6E, 0x58, 0x02 ),
457 BYTES_TO_T_UINT_8( 0xAE, 0x81, 0x21, 0xCE, 0x43, 0xF4, 0x24, 0x3D ),
458 BYTES_TO_T_UINT_8( 0x9E, 0xBC, 0xF0, 0xF4, 0x00, 0x00, 0x00, 0x00 ),
459};
460static const mbedtls_mpi_uint secp224r1_T_8_X[] = {
461 BYTES_TO_T_UINT_8( 0xD6, 0x10, 0xC2, 0x74, 0x4A, 0x8F, 0x8A, 0xCF ),
462 BYTES_TO_T_UINT_8( 0x89, 0x67, 0xF4, 0x2B, 0x38, 0x2B, 0x35, 0x17 ),
463 BYTES_TO_T_UINT_8( 0xF5, 0xE7, 0x0C, 0xA9, 0xFA, 0x77, 0x5C, 0xBD ),
464 BYTES_TO_T_UINT_8( 0xE0, 0x33, 0x19, 0x2B, 0x00, 0x00, 0x00, 0x00 ),
465};
466static const mbedtls_mpi_uint secp224r1_T_8_Y[] = {
467 BYTES_TO_T_UINT_8( 0xE7, 0x3E, 0x96, 0x22, 0x53, 0xE1, 0xE9, 0xBE ),
468 BYTES_TO_T_UINT_8( 0xE0, 0x13, 0xBC, 0xA1, 0x16, 0xEC, 0x01, 0x1A ),
469 BYTES_TO_T_UINT_8( 0x9A, 0x00, 0xC9, 0x7A, 0xC3, 0x73, 0xA5, 0x45 ),
470 BYTES_TO_T_UINT_8( 0xE1, 0xF4, 0x5E, 0xC1, 0x00, 0x00, 0x00, 0x00 ),
471};
472static const mbedtls_mpi_uint secp224r1_T_9_X[] = {
473 BYTES_TO_T_UINT_8( 0xA8, 0x95, 0xD6, 0xD9, 0x32, 0x30, 0x2B, 0xD0 ),
474 BYTES_TO_T_UINT_8( 0x77, 0x42, 0x09, 0x05, 0x61, 0x2A, 0x7E, 0x82 ),
475 BYTES_TO_T_UINT_8( 0x73, 0x84, 0xA2, 0x05, 0x88, 0x64, 0x65, 0xF9 ),
476 BYTES_TO_T_UINT_8( 0x03, 0x2D, 0x90, 0xB3, 0x00, 0x00, 0x00, 0x00 ),
477};
478static const mbedtls_mpi_uint secp224r1_T_9_Y[] = {
479 BYTES_TO_T_UINT_8( 0x0A, 0xE7, 0x2E, 0x85, 0x55, 0x80, 0x7C, 0x79 ),
480 BYTES_TO_T_UINT_8( 0x0F, 0xC1, 0xAC, 0x78, 0xB4, 0xAF, 0xFB, 0x6E ),
481 BYTES_TO_T_UINT_8( 0xD3, 0xC3, 0x28, 0x8E, 0x79, 0x18, 0x1F, 0x58 ),
482 BYTES_TO_T_UINT_8( 0x34, 0x46, 0xCF, 0x49, 0x00, 0x00, 0x00, 0x00 ),
483};
484static const mbedtls_mpi_uint secp224r1_T_10_X[] = {
485 BYTES_TO_T_UINT_8( 0x63, 0x5F, 0xA8, 0x6C, 0x46, 0x83, 0x43, 0xFA ),
486 BYTES_TO_T_UINT_8( 0xFA, 0xA9, 0x93, 0x11, 0xB6, 0x07, 0x57, 0x74 ),
487 BYTES_TO_T_UINT_8( 0x77, 0x2A, 0x9D, 0x03, 0x89, 0x7E, 0xD7, 0x3C ),
488 BYTES_TO_T_UINT_8( 0x7B, 0x8C, 0x62, 0xCF, 0x00, 0x00, 0x00, 0x00 ),
489};
490static const mbedtls_mpi_uint secp224r1_T_10_Y[] = {
491 BYTES_TO_T_UINT_8( 0x44, 0x2C, 0x13, 0x59, 0xCC, 0xFA, 0x84, 0x9E ),
492 BYTES_TO_T_UINT_8( 0x51, 0xB9, 0x48, 0xBC, 0x57, 0xC7, 0xB3, 0x7C ),
493 BYTES_TO_T_UINT_8( 0xFC, 0x0A, 0x38, 0x24, 0x2E, 0x3A, 0x28, 0x25 ),
494 BYTES_TO_T_UINT_8( 0xBC, 0x0A, 0x43, 0xB8, 0x00, 0x00, 0x00, 0x00 ),
495};
496static const mbedtls_mpi_uint secp224r1_T_11_X[] = {
497 BYTES_TO_T_UINT_8( 0x59, 0x25, 0xAB, 0xC1, 0xEE, 0x70, 0x3C, 0xE1 ),
498 BYTES_TO_T_UINT_8( 0xF3, 0xDB, 0x45, 0x1D, 0x4A, 0x80, 0x75, 0x35 ),
499 BYTES_TO_T_UINT_8( 0xE8, 0x1F, 0x4D, 0x2D, 0x9A, 0x05, 0xF4, 0xCB ),
500 BYTES_TO_T_UINT_8( 0x6B, 0x10, 0xF0, 0x5A, 0x00, 0x00, 0x00, 0x00 ),
501};
502static const mbedtls_mpi_uint secp224r1_T_11_Y[] = {
503 BYTES_TO_T_UINT_8( 0x35, 0x95, 0xE1, 0xDC, 0x15, 0x86, 0xC3, 0x7B ),
504 BYTES_TO_T_UINT_8( 0xEC, 0xDC, 0x27, 0xD1, 0x56, 0xA1, 0x14, 0x0D ),
505 BYTES_TO_T_UINT_8( 0x59, 0x0B, 0xD6, 0x77, 0x4E, 0x44, 0xA2, 0xF8 ),
506 BYTES_TO_T_UINT_8( 0x94, 0x42, 0x71, 0x1F, 0x00, 0x00, 0x00, 0x00 ),
507};
508static const mbedtls_mpi_uint secp224r1_T_12_X[] = {
509 BYTES_TO_T_UINT_8( 0x30, 0x86, 0xB2, 0xB0, 0xC8, 0x2F, 0x7B, 0xFE ),
510 BYTES_TO_T_UINT_8( 0x96, 0xEF, 0xCB, 0xDB, 0xBC, 0x9E, 0x3B, 0xC5 ),
511 BYTES_TO_T_UINT_8( 0x1B, 0x03, 0x86, 0xDD, 0x5B, 0xF5, 0x8D, 0x46 ),
512 BYTES_TO_T_UINT_8( 0x58, 0x95, 0x79, 0xD6, 0x00, 0x00, 0x00, 0x00 ),
513};
514static const mbedtls_mpi_uint secp224r1_T_12_Y[] = {
515 BYTES_TO_T_UINT_8( 0x84, 0x32, 0x14, 0xDA, 0x9B, 0x4F, 0x07, 0x39 ),
516 BYTES_TO_T_UINT_8( 0xB5, 0x3E, 0xFB, 0x06, 0xEE, 0xA7, 0x40, 0x40 ),
517 BYTES_TO_T_UINT_8( 0x76, 0x1F, 0xDF, 0x71, 0x61, 0xFD, 0x8B, 0xBE ),
518 BYTES_TO_T_UINT_8( 0x80, 0x8B, 0xAB, 0x8B, 0x00, 0x00, 0x00, 0x00 ),
519};
520static const mbedtls_mpi_uint secp224r1_T_13_X[] = {
521 BYTES_TO_T_UINT_8( 0xC9, 0x34, 0xB3, 0xB4, 0xBC, 0x9F, 0xB0, 0x5E ),
522 BYTES_TO_T_UINT_8( 0xE6, 0x58, 0x48, 0xA8, 0x77, 0xBB, 0x13, 0x2F ),
523 BYTES_TO_T_UINT_8( 0x41, 0xC6, 0xF7, 0x34, 0xCC, 0x89, 0x21, 0x0A ),
524 BYTES_TO_T_UINT_8( 0xCA, 0x33, 0xDD, 0x1F, 0x00, 0x00, 0x00, 0x00 ),
525};
526static const mbedtls_mpi_uint secp224r1_T_13_Y[] = {
527 BYTES_TO_T_UINT_8( 0xCC, 0x81, 0xEF, 0xA4, 0xF2, 0x10, 0x0B, 0xCD ),
528 BYTES_TO_T_UINT_8( 0x83, 0xF7, 0x6E, 0x72, 0x4A, 0xDF, 0xDD, 0xE8 ),
529 BYTES_TO_T_UINT_8( 0x67, 0x23, 0x0A, 0x53, 0x03, 0x16, 0x62, 0xD2 ),
530 BYTES_TO_T_UINT_8( 0x0B, 0x76, 0xFD, 0x3C, 0x00, 0x00, 0x00, 0x00 ),
531};
532static const mbedtls_mpi_uint secp224r1_T_14_X[] = {
533 BYTES_TO_T_UINT_8( 0xCB, 0x14, 0xA1, 0xFA, 0xA0, 0x18, 0xBE, 0x07 ),
534 BYTES_TO_T_UINT_8( 0x03, 0x2A, 0xE1, 0xD7, 0xB0, 0x6C, 0xA0, 0xDE ),
535 BYTES_TO_T_UINT_8( 0xD1, 0xC0, 0xB0, 0xC6, 0x63, 0x24, 0xCD, 0x4E ),
536 BYTES_TO_T_UINT_8( 0x33, 0x38, 0x2C, 0xB1, 0x00, 0x00, 0x00, 0x00 ),
537};
538static const mbedtls_mpi_uint secp224r1_T_14_Y[] = {
539 BYTES_TO_T_UINT_8( 0xEE, 0xCD, 0x7D, 0x20, 0x0C, 0xFE, 0xAC, 0xC3 ),
540 BYTES_TO_T_UINT_8( 0x09, 0x97, 0x9F, 0xA2, 0xB6, 0x45, 0xF7, 0x7B ),
541 BYTES_TO_T_UINT_8( 0xCA, 0x99, 0xF3, 0xD2, 0x20, 0x02, 0xEB, 0x04 ),
542 BYTES_TO_T_UINT_8( 0x43, 0x18, 0x5B, 0x7B, 0x00, 0x00, 0x00, 0x00 ),
543};
544static const mbedtls_mpi_uint secp224r1_T_15_X[] = {
545 BYTES_TO_T_UINT_8( 0x2B, 0xDD, 0x77, 0x91, 0x60, 0xEA, 0xFD, 0xD3 ),
546 BYTES_TO_T_UINT_8( 0x7D, 0xD3, 0xB5, 0xD6, 0x90, 0x17, 0x0E, 0x1A ),
547 BYTES_TO_T_UINT_8( 0x00, 0xF4, 0x28, 0xC1, 0xF2, 0x53, 0xF6, 0x63 ),
548 BYTES_TO_T_UINT_8( 0x49, 0x58, 0xDC, 0x61, 0x00, 0x00, 0x00, 0x00 ),
549};
550static const mbedtls_mpi_uint secp224r1_T_15_Y[] = {
551 BYTES_TO_T_UINT_8( 0xA8, 0x20, 0x01, 0xFB, 0xF1, 0xBD, 0x5F, 0x45 ),
552 BYTES_TO_T_UINT_8( 0xD0, 0x7F, 0x06, 0xDA, 0x11, 0xCB, 0xBA, 0xA6 ),
553 BYTES_TO_T_UINT_8( 0xA7, 0x41, 0x00, 0xA4, 0x1B, 0x30, 0x33, 0x79 ),
554 BYTES_TO_T_UINT_8( 0xF4, 0xFF, 0x27, 0xCA, 0x00, 0x00, 0x00, 0x00 ),
555};
556static const mbedtls_ecp_point secp224r1_T[16] = {
557 ECP_POINT_INIT_XY_Z1(secp224r1_T_0_X, secp224r1_T_0_Y),
558 ECP_POINT_INIT_XY_Z0(secp224r1_T_1_X, secp224r1_T_1_Y),
559 ECP_POINT_INIT_XY_Z0(secp224r1_T_2_X, secp224r1_T_2_Y),
560 ECP_POINT_INIT_XY_Z0(secp224r1_T_3_X, secp224r1_T_3_Y),
561 ECP_POINT_INIT_XY_Z0(secp224r1_T_4_X, secp224r1_T_4_Y),
562 ECP_POINT_INIT_XY_Z0(secp224r1_T_5_X, secp224r1_T_5_Y),
563 ECP_POINT_INIT_XY_Z0(secp224r1_T_6_X, secp224r1_T_6_Y),
564 ECP_POINT_INIT_XY_Z0(secp224r1_T_7_X, secp224r1_T_7_Y),
565 ECP_POINT_INIT_XY_Z0(secp224r1_T_8_X, secp224r1_T_8_Y),
566 ECP_POINT_INIT_XY_Z0(secp224r1_T_9_X, secp224r1_T_9_Y),
567 ECP_POINT_INIT_XY_Z0(secp224r1_T_10_X, secp224r1_T_10_Y),
568 ECP_POINT_INIT_XY_Z0(secp224r1_T_11_X, secp224r1_T_11_Y),
569 ECP_POINT_INIT_XY_Z0(secp224r1_T_12_X, secp224r1_T_12_Y),
570 ECP_POINT_INIT_XY_Z0(secp224r1_T_13_X, secp224r1_T_13_Y),
571 ECP_POINT_INIT_XY_Z0(secp224r1_T_14_X, secp224r1_T_14_Y),
572 ECP_POINT_INIT_XY_Z0(secp224r1_T_15_X, secp224r1_T_15_Y),
573};
574#else
575#define secp224r1_T NULL
576#endif
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200577#endif /* MBEDTLS_ECP_DP_SECP224R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +0100578
579/*
580 * Domain parameters for secp256r1
581 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200582#if defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED)
583static const mbedtls_mpi_uint secp256r1_p[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +0100584 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
585 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00 ),
586 BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
587 BYTES_TO_T_UINT_8( 0x01, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +0100588};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200589static const mbedtls_mpi_uint secp256r1_b[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +0100590 BYTES_TO_T_UINT_8( 0x4B, 0x60, 0xD2, 0x27, 0x3E, 0x3C, 0xCE, 0x3B ),
591 BYTES_TO_T_UINT_8( 0xF6, 0xB0, 0x53, 0xCC, 0xB0, 0x06, 0x1D, 0x65 ),
592 BYTES_TO_T_UINT_8( 0xBC, 0x86, 0x98, 0x76, 0x55, 0xBD, 0xEB, 0xB3 ),
593 BYTES_TO_T_UINT_8( 0xE7, 0x93, 0x3A, 0xAA, 0xD8, 0x35, 0xC6, 0x5A ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +0100594};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200595static const mbedtls_mpi_uint secp256r1_gx[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +0100596 BYTES_TO_T_UINT_8( 0x96, 0xC2, 0x98, 0xD8, 0x45, 0x39, 0xA1, 0xF4 ),
597 BYTES_TO_T_UINT_8( 0xA0, 0x33, 0xEB, 0x2D, 0x81, 0x7D, 0x03, 0x77 ),
598 BYTES_TO_T_UINT_8( 0xF2, 0x40, 0xA4, 0x63, 0xE5, 0xE6, 0xBC, 0xF8 ),
599 BYTES_TO_T_UINT_8( 0x47, 0x42, 0x2C, 0xE1, 0xF2, 0xD1, 0x17, 0x6B ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +0100600};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200601static const mbedtls_mpi_uint secp256r1_gy[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +0100602 BYTES_TO_T_UINT_8( 0xF5, 0x51, 0xBF, 0x37, 0x68, 0x40, 0xB6, 0xCB ),
603 BYTES_TO_T_UINT_8( 0xCE, 0x5E, 0x31, 0x6B, 0x57, 0x33, 0xCE, 0x2B ),
604 BYTES_TO_T_UINT_8( 0x16, 0x9E, 0x0F, 0x7C, 0x4A, 0xEB, 0xE7, 0x8E ),
605 BYTES_TO_T_UINT_8( 0x9B, 0x7F, 0x1A, 0xFE, 0xE2, 0x42, 0xE3, 0x4F ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +0100606};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200607static const mbedtls_mpi_uint secp256r1_n[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +0100608 BYTES_TO_T_UINT_8( 0x51, 0x25, 0x63, 0xFC, 0xC2, 0xCA, 0xB9, 0xF3 ),
609 BYTES_TO_T_UINT_8( 0x84, 0x9E, 0x17, 0xA7, 0xAD, 0xFA, 0xE6, 0xBC ),
610 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
611 BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +0100612};
kXuanba9cb762021-04-08 14:32:06 +0800613#if MBEDTLS_ECP_FIXED_POINT_OPTIM == 1
614static const mbedtls_mpi_uint secp256r1_T_0_X[] = {
615 BYTES_TO_T_UINT_8( 0x96, 0xC2, 0x98, 0xD8, 0x45, 0x39, 0xA1, 0xF4 ),
616 BYTES_TO_T_UINT_8( 0xA0, 0x33, 0xEB, 0x2D, 0x81, 0x7D, 0x03, 0x77 ),
617 BYTES_TO_T_UINT_8( 0xF2, 0x40, 0xA4, 0x63, 0xE5, 0xE6, 0xBC, 0xF8 ),
618 BYTES_TO_T_UINT_8( 0x47, 0x42, 0x2C, 0xE1, 0xF2, 0xD1, 0x17, 0x6B ),
619};
620static const mbedtls_mpi_uint secp256r1_T_0_Y[] = {
621 BYTES_TO_T_UINT_8( 0xF5, 0x51, 0xBF, 0x37, 0x68, 0x40, 0xB6, 0xCB ),
622 BYTES_TO_T_UINT_8( 0xCE, 0x5E, 0x31, 0x6B, 0x57, 0x33, 0xCE, 0x2B ),
623 BYTES_TO_T_UINT_8( 0x16, 0x9E, 0x0F, 0x7C, 0x4A, 0xEB, 0xE7, 0x8E ),
624 BYTES_TO_T_UINT_8( 0x9B, 0x7F, 0x1A, 0xFE, 0xE2, 0x42, 0xE3, 0x4F ),
625};
626static const mbedtls_mpi_uint secp256r1_T_1_X[] = {
627 BYTES_TO_T_UINT_8( 0x70, 0xC8, 0xBA, 0x04, 0xB7, 0x4B, 0xD2, 0xF7 ),
628 BYTES_TO_T_UINT_8( 0xAB, 0xC6, 0x23, 0x3A, 0xA0, 0x09, 0x3A, 0x59 ),
629 BYTES_TO_T_UINT_8( 0x1D, 0x9D, 0x4C, 0xF9, 0x58, 0x23, 0xCC, 0xDF ),
630 BYTES_TO_T_UINT_8( 0x02, 0xED, 0x7B, 0x29, 0x87, 0x0F, 0xFA, 0x3C ),
631};
632static const mbedtls_mpi_uint secp256r1_T_1_Y[] = {
633 BYTES_TO_T_UINT_8( 0x40, 0x69, 0xF2, 0x40, 0x0B, 0xA3, 0x98, 0xCE ),
634 BYTES_TO_T_UINT_8( 0xAF, 0xA8, 0x48, 0x02, 0x0D, 0x1C, 0x12, 0x62 ),
635 BYTES_TO_T_UINT_8( 0x9B, 0xAF, 0x09, 0x83, 0x80, 0xAA, 0x58, 0xA7 ),
636 BYTES_TO_T_UINT_8( 0xC6, 0x12, 0xBE, 0x70, 0x94, 0x76, 0xE3, 0xE4 ),
637};
638static const mbedtls_mpi_uint secp256r1_T_2_X[] = {
639 BYTES_TO_T_UINT_8( 0x7D, 0x7D, 0xEF, 0x86, 0xFF, 0xE3, 0x37, 0xDD ),
640 BYTES_TO_T_UINT_8( 0xDB, 0x86, 0x8B, 0x08, 0x27, 0x7C, 0xD7, 0xF6 ),
641 BYTES_TO_T_UINT_8( 0x91, 0x54, 0x4C, 0x25, 0x4F, 0x9A, 0xFE, 0x28 ),
642 BYTES_TO_T_UINT_8( 0x5E, 0xFD, 0xF0, 0x6D, 0x37, 0x03, 0x69, 0xD6 ),
643};
644static const mbedtls_mpi_uint secp256r1_T_2_Y[] = {
645 BYTES_TO_T_UINT_8( 0x96, 0xD5, 0xDA, 0xAD, 0x92, 0x49, 0xF0, 0x9F ),
646 BYTES_TO_T_UINT_8( 0xF9, 0x73, 0x43, 0x9E, 0xAF, 0xA7, 0xD1, 0xF3 ),
647 BYTES_TO_T_UINT_8( 0x67, 0x41, 0x07, 0xDF, 0x78, 0x95, 0x3E, 0xA1 ),
648 BYTES_TO_T_UINT_8( 0x22, 0x3D, 0xD1, 0xE6, 0x3C, 0xA5, 0xE2, 0x20 ),
649};
650static const mbedtls_mpi_uint secp256r1_T_3_X[] = {
651 BYTES_TO_T_UINT_8( 0xBF, 0x6A, 0x5D, 0x52, 0x35, 0xD7, 0xBF, 0xAE ),
652 BYTES_TO_T_UINT_8( 0x5A, 0xA2, 0xBE, 0x96, 0xF4, 0xF8, 0x02, 0xC3 ),
653 BYTES_TO_T_UINT_8( 0xA4, 0x20, 0x49, 0x54, 0xEA, 0xB3, 0x82, 0xDB ),
654 BYTES_TO_T_UINT_8( 0x2E, 0xDB, 0xEA, 0x02, 0xD1, 0x75, 0x1C, 0x62 ),
655};
656static const mbedtls_mpi_uint secp256r1_T_3_Y[] = {
657 BYTES_TO_T_UINT_8( 0xF0, 0x85, 0xF4, 0x9E, 0x4C, 0xDC, 0x39, 0x89 ),
658 BYTES_TO_T_UINT_8( 0x63, 0x6D, 0xC4, 0x57, 0xD8, 0x03, 0x5D, 0x22 ),
659 BYTES_TO_T_UINT_8( 0x70, 0x7F, 0x2D, 0x52, 0x6F, 0xC9, 0xDA, 0x4F ),
660 BYTES_TO_T_UINT_8( 0x9D, 0x64, 0xFA, 0xB4, 0xFE, 0xA4, 0xC4, 0xD7 ),
661};
662static const mbedtls_mpi_uint secp256r1_T_4_X[] = {
663 BYTES_TO_T_UINT_8( 0x2A, 0x37, 0xB9, 0xC0, 0xAA, 0x59, 0xC6, 0x8B ),
664 BYTES_TO_T_UINT_8( 0x3F, 0x58, 0xD9, 0xED, 0x58, 0x99, 0x65, 0xF7 ),
665 BYTES_TO_T_UINT_8( 0x88, 0x7D, 0x26, 0x8C, 0x4A, 0xF9, 0x05, 0x9F ),
666 BYTES_TO_T_UINT_8( 0x9D, 0x73, 0x9A, 0xC9, 0xE7, 0x46, 0xDC, 0x00 ),
667};
668static const mbedtls_mpi_uint secp256r1_T_4_Y[] = {
669 BYTES_TO_T_UINT_8( 0xF2, 0xD0, 0x55, 0xDF, 0x00, 0x0A, 0xF5, 0x4A ),
670 BYTES_TO_T_UINT_8( 0x6A, 0xBF, 0x56, 0x81, 0x2D, 0x20, 0xEB, 0xB5 ),
671 BYTES_TO_T_UINT_8( 0x11, 0xC1, 0x28, 0x52, 0xAB, 0xE3, 0xD1, 0x40 ),
672 BYTES_TO_T_UINT_8( 0x24, 0x34, 0x79, 0x45, 0x57, 0xA5, 0x12, 0x03 ),
673};
674static const mbedtls_mpi_uint secp256r1_T_5_X[] = {
675 BYTES_TO_T_UINT_8( 0xEE, 0xCF, 0xB8, 0x7E, 0xF7, 0x92, 0x96, 0x8D ),
676 BYTES_TO_T_UINT_8( 0x3D, 0x01, 0x8C, 0x0D, 0x23, 0xF2, 0xE3, 0x05 ),
677 BYTES_TO_T_UINT_8( 0x59, 0x2E, 0xE3, 0x84, 0x52, 0x7A, 0x34, 0x76 ),
678 BYTES_TO_T_UINT_8( 0xE5, 0xA1, 0xB0, 0x15, 0x90, 0xE2, 0x53, 0x3C ),
679};
680static const mbedtls_mpi_uint secp256r1_T_5_Y[] = {
681 BYTES_TO_T_UINT_8( 0xD4, 0x98, 0xE7, 0xFA, 0xA5, 0x7D, 0x8B, 0x53 ),
682 BYTES_TO_T_UINT_8( 0x91, 0x35, 0xD2, 0x00, 0xD1, 0x1B, 0x9F, 0x1B ),
683 BYTES_TO_T_UINT_8( 0x3F, 0x69, 0x08, 0x9A, 0x72, 0xF0, 0xA9, 0x11 ),
684 BYTES_TO_T_UINT_8( 0xB3, 0xFE, 0x0E, 0x14, 0xDA, 0x7C, 0x0E, 0xD3 ),
685};
686static const mbedtls_mpi_uint secp256r1_T_6_X[] = {
687 BYTES_TO_T_UINT_8( 0x83, 0xF6, 0xE8, 0xF8, 0x87, 0xF7, 0xFC, 0x6D ),
688 BYTES_TO_T_UINT_8( 0x90, 0xBE, 0x7F, 0x3F, 0x7A, 0x2B, 0xD7, 0x13 ),
689 BYTES_TO_T_UINT_8( 0xCF, 0x32, 0xF2, 0x2D, 0x94, 0x6D, 0x42, 0xFD ),
690 BYTES_TO_T_UINT_8( 0xAD, 0x9A, 0xE3, 0x5F, 0x42, 0xBB, 0x84, 0xED ),
691};
692static const mbedtls_mpi_uint secp256r1_T_6_Y[] = {
693 BYTES_TO_T_UINT_8( 0xFC, 0x95, 0x29, 0x73, 0xA1, 0x67, 0x3E, 0x02 ),
694 BYTES_TO_T_UINT_8( 0xE3, 0x30, 0x54, 0x35, 0x8E, 0x0A, 0xDD, 0x67 ),
695 BYTES_TO_T_UINT_8( 0x03, 0xD7, 0xA1, 0x97, 0x61, 0x3B, 0xF8, 0x0C ),
696 BYTES_TO_T_UINT_8( 0xF2, 0x33, 0x3C, 0x58, 0x55, 0x34, 0x23, 0xA3 ),
697};
698static const mbedtls_mpi_uint secp256r1_T_7_X[] = {
699 BYTES_TO_T_UINT_8( 0x99, 0x5D, 0x16, 0x5F, 0x7B, 0xBC, 0xBB, 0xCE ),
700 BYTES_TO_T_UINT_8( 0x61, 0xEE, 0x4E, 0x8A, 0xC1, 0x51, 0xCC, 0x50 ),
701 BYTES_TO_T_UINT_8( 0x1F, 0x0D, 0x4D, 0x1B, 0x53, 0x23, 0x1D, 0xB3 ),
702 BYTES_TO_T_UINT_8( 0xDA, 0x2A, 0x38, 0x66, 0x52, 0x84, 0xE1, 0x95 ),
703};
704static const mbedtls_mpi_uint secp256r1_T_7_Y[] = {
705 BYTES_TO_T_UINT_8( 0x5B, 0x9B, 0x83, 0x0A, 0x81, 0x4F, 0xAD, 0xAC ),
706 BYTES_TO_T_UINT_8( 0x0F, 0xFF, 0x42, 0x41, 0x6E, 0xA9, 0xA2, 0xA0 ),
707 BYTES_TO_T_UINT_8( 0x2F, 0xA1, 0x4F, 0x1F, 0x89, 0x82, 0xAA, 0x3E ),
708 BYTES_TO_T_UINT_8( 0xF3, 0xB8, 0x0F, 0x6B, 0x8F, 0x8C, 0xD6, 0x68 ),
709};
710static const mbedtls_mpi_uint secp256r1_T_8_X[] = {
711 BYTES_TO_T_UINT_8( 0xF1, 0xB3, 0xBB, 0x51, 0x69, 0xA2, 0x11, 0x93 ),
712 BYTES_TO_T_UINT_8( 0x65, 0x4F, 0x0F, 0x8D, 0xBD, 0x26, 0x0F, 0xE8 ),
713 BYTES_TO_T_UINT_8( 0xB9, 0xCB, 0xEC, 0x6B, 0x34, 0xC3, 0x3D, 0x9D ),
714 BYTES_TO_T_UINT_8( 0xE4, 0x5D, 0x1E, 0x10, 0xD5, 0x44, 0xE2, 0x54 ),
715};
716static const mbedtls_mpi_uint secp256r1_T_8_Y[] = {
717 BYTES_TO_T_UINT_8( 0x28, 0x9E, 0xB1, 0xF1, 0x6E, 0x4C, 0xAD, 0xB3 ),
718 BYTES_TO_T_UINT_8( 0xB7, 0xE3, 0xC2, 0x58, 0xC0, 0xFB, 0x34, 0x43 ),
719 BYTES_TO_T_UINT_8( 0x25, 0x9C, 0xDF, 0x35, 0x07, 0x41, 0xBD, 0x19 ),
720 BYTES_TO_T_UINT_8( 0xB6, 0x6E, 0x10, 0xEC, 0x0E, 0xEC, 0xBB, 0xD6 ),
721};
722static const mbedtls_mpi_uint secp256r1_T_9_X[] = {
723 BYTES_TO_T_UINT_8( 0xC8, 0xCF, 0xEF, 0x3F, 0x83, 0x1A, 0x88, 0xE8 ),
724 BYTES_TO_T_UINT_8( 0x0B, 0x29, 0xB5, 0xB9, 0xE0, 0xC9, 0xA3, 0xAE ),
725 BYTES_TO_T_UINT_8( 0x88, 0x46, 0x1E, 0x77, 0xCD, 0x7E, 0xB3, 0x10 ),
726 BYTES_TO_T_UINT_8( 0xB6, 0x21, 0xD0, 0xD4, 0xA3, 0x16, 0x08, 0xEE ),
727};
728static const mbedtls_mpi_uint secp256r1_T_9_Y[] = {
729 BYTES_TO_T_UINT_8( 0xA1, 0xCA, 0xA8, 0xB3, 0xBF, 0x29, 0x99, 0x8E ),
730 BYTES_TO_T_UINT_8( 0xD1, 0xF2, 0x05, 0xC1, 0xCF, 0x5D, 0x91, 0x48 ),
731 BYTES_TO_T_UINT_8( 0x9F, 0x01, 0x49, 0xDB, 0x82, 0xDF, 0x5F, 0x3A ),
732 BYTES_TO_T_UINT_8( 0xE1, 0x06, 0x90, 0xAD, 0xE3, 0x38, 0xA4, 0xC4 ),
733};
734static const mbedtls_mpi_uint secp256r1_T_10_X[] = {
735 BYTES_TO_T_UINT_8( 0xC9, 0xD2, 0x3A, 0xE8, 0x03, 0xC5, 0x6D, 0x5D ),
736 BYTES_TO_T_UINT_8( 0xBE, 0x35, 0xD0, 0xAE, 0x1D, 0x7A, 0x9F, 0xCA ),
737 BYTES_TO_T_UINT_8( 0x33, 0x1E, 0xD2, 0xCB, 0xAC, 0x88, 0x27, 0x55 ),
738 BYTES_TO_T_UINT_8( 0xF0, 0xB9, 0x9C, 0xE0, 0x31, 0xDD, 0x99, 0x86 ),
739};
740static const mbedtls_mpi_uint secp256r1_T_10_Y[] = {
741 BYTES_TO_T_UINT_8( 0x61, 0xF9, 0x9B, 0x32, 0x96, 0x41, 0x58, 0x38 ),
742 BYTES_TO_T_UINT_8( 0xF9, 0x5A, 0x2A, 0xB8, 0x96, 0x0E, 0xB2, 0x4C ),
743 BYTES_TO_T_UINT_8( 0xC1, 0x78, 0x2C, 0xC7, 0x08, 0x99, 0x19, 0x24 ),
744 BYTES_TO_T_UINT_8( 0xB7, 0x59, 0x28, 0xE9, 0x84, 0x54, 0xE6, 0x16 ),
745};
746static const mbedtls_mpi_uint secp256r1_T_11_X[] = {
747 BYTES_TO_T_UINT_8( 0xDD, 0x38, 0x30, 0xDB, 0x70, 0x2C, 0x0A, 0xA2 ),
748 BYTES_TO_T_UINT_8( 0x7C, 0x5C, 0x9D, 0xE9, 0xD5, 0x46, 0x0B, 0x5F ),
749 BYTES_TO_T_UINT_8( 0x83, 0x0B, 0x60, 0x4B, 0x37, 0x7D, 0xB9, 0xC9 ),
750 BYTES_TO_T_UINT_8( 0x5E, 0x24, 0xF3, 0x3D, 0x79, 0x7F, 0x6C, 0x18 ),
751};
752static const mbedtls_mpi_uint secp256r1_T_11_Y[] = {
753 BYTES_TO_T_UINT_8( 0x7F, 0xE5, 0x1C, 0x4F, 0x60, 0x24, 0xF7, 0x2A ),
754 BYTES_TO_T_UINT_8( 0xED, 0xD8, 0xE2, 0x91, 0x7F, 0x89, 0x49, 0x92 ),
755 BYTES_TO_T_UINT_8( 0x97, 0xA7, 0x2E, 0x8D, 0x6A, 0xB3, 0x39, 0x81 ),
756 BYTES_TO_T_UINT_8( 0x13, 0x89, 0xB5, 0x9A, 0xB8, 0x8D, 0x42, 0x9C ),
757};
758static const mbedtls_mpi_uint secp256r1_T_12_X[] = {
759 BYTES_TO_T_UINT_8( 0x8D, 0x45, 0xE6, 0x4B, 0x3F, 0x4F, 0x1E, 0x1F ),
760 BYTES_TO_T_UINT_8( 0x47, 0x65, 0x5E, 0x59, 0x22, 0xCC, 0x72, 0x5F ),
761 BYTES_TO_T_UINT_8( 0xF1, 0x93, 0x1A, 0x27, 0x1E, 0x34, 0xC5, 0x5B ),
762 BYTES_TO_T_UINT_8( 0x63, 0xF2, 0xA5, 0x58, 0x5C, 0x15, 0x2E, 0xC6 ),
763};
764static const mbedtls_mpi_uint secp256r1_T_12_Y[] = {
765 BYTES_TO_T_UINT_8( 0xF4, 0x7F, 0xBA, 0x58, 0x5A, 0x84, 0x6F, 0x5F ),
766 BYTES_TO_T_UINT_8( 0xAD, 0xA6, 0x36, 0x7E, 0xDC, 0xF7, 0xE1, 0x67 ),
767 BYTES_TO_T_UINT_8( 0x04, 0x4D, 0xAA, 0xEE, 0x57, 0x76, 0x3A, 0xD3 ),
768 BYTES_TO_T_UINT_8( 0x4E, 0x7E, 0x26, 0x18, 0x22, 0x23, 0x9F, 0xFF ),
769};
770static const mbedtls_mpi_uint secp256r1_T_13_X[] = {
771 BYTES_TO_T_UINT_8( 0x1D, 0x4C, 0x64, 0xC7, 0x55, 0x02, 0x3F, 0xE3 ),
772 BYTES_TO_T_UINT_8( 0xD8, 0x02, 0x90, 0xBB, 0xC3, 0xEC, 0x30, 0x40 ),
773 BYTES_TO_T_UINT_8( 0x9F, 0x6F, 0x64, 0xF4, 0x16, 0x69, 0x48, 0xA4 ),
774 BYTES_TO_T_UINT_8( 0xFA, 0x44, 0x9C, 0x95, 0x0C, 0x7D, 0x67, 0x5E ),
775};
776static const mbedtls_mpi_uint secp256r1_T_13_Y[] = {
777 BYTES_TO_T_UINT_8( 0x44, 0x91, 0x8B, 0xD8, 0xD0, 0xD7, 0xE7, 0xE2 ),
778 BYTES_TO_T_UINT_8( 0x1F, 0xF9, 0x48, 0x62, 0x6F, 0xA8, 0x93, 0x5D ),
779 BYTES_TO_T_UINT_8( 0xEA, 0x3A, 0x99, 0x02, 0xD5, 0x0B, 0x3D, 0xE3 ),
780 BYTES_TO_T_UINT_8( 0x1E, 0xD3, 0x00, 0x31, 0xE6, 0x0C, 0x9F, 0x44 ),
781};
782static const mbedtls_mpi_uint secp256r1_T_14_X[] = {
783 BYTES_TO_T_UINT_8( 0x56, 0xB2, 0xAA, 0xFD, 0x88, 0x15, 0xDF, 0x52 ),
784 BYTES_TO_T_UINT_8( 0x4C, 0x35, 0x27, 0x31, 0x44, 0xCD, 0xC0, 0x68 ),
785 BYTES_TO_T_UINT_8( 0x53, 0xF8, 0x91, 0xA5, 0x71, 0x94, 0x84, 0x2A ),
786 BYTES_TO_T_UINT_8( 0x92, 0xCB, 0xD0, 0x93, 0xE9, 0x88, 0xDA, 0xE4 ),
787};
788static const mbedtls_mpi_uint secp256r1_T_14_Y[] = {
789 BYTES_TO_T_UINT_8( 0x24, 0xC6, 0x39, 0x16, 0x5D, 0xA3, 0x1E, 0x6D ),
790 BYTES_TO_T_UINT_8( 0xBA, 0x07, 0x37, 0x26, 0x36, 0x2A, 0xFE, 0x60 ),
791 BYTES_TO_T_UINT_8( 0x51, 0xBC, 0xF3, 0xD0, 0xDE, 0x50, 0xFC, 0x97 ),
792 BYTES_TO_T_UINT_8( 0x80, 0x2E, 0x06, 0x10, 0x15, 0x4D, 0xFA, 0xF7 ),
793};
794static const mbedtls_mpi_uint secp256r1_T_15_X[] = {
795 BYTES_TO_T_UINT_8( 0x27, 0x65, 0x69, 0x5B, 0x66, 0xA2, 0x75, 0x2E ),
796 BYTES_TO_T_UINT_8( 0x9C, 0x16, 0x00, 0x5A, 0xB0, 0x30, 0x25, 0x1A ),
797 BYTES_TO_T_UINT_8( 0x42, 0xFB, 0x86, 0x42, 0x80, 0xC1, 0xC4, 0x76 ),
798 BYTES_TO_T_UINT_8( 0x5B, 0x1D, 0x83, 0x8E, 0x94, 0x01, 0x5F, 0x82 ),
799};
800static const mbedtls_mpi_uint secp256r1_T_15_Y[] = {
801 BYTES_TO_T_UINT_8( 0x39, 0x37, 0x70, 0xEF, 0x1F, 0xA1, 0xF0, 0xDB ),
802 BYTES_TO_T_UINT_8( 0x6A, 0x10, 0x5B, 0xCE, 0xC4, 0x9B, 0x6F, 0x10 ),
803 BYTES_TO_T_UINT_8( 0x50, 0x11, 0x11, 0x24, 0x4F, 0x4C, 0x79, 0x61 ),
804 BYTES_TO_T_UINT_8( 0x17, 0x3A, 0x72, 0xBC, 0xFE, 0x72, 0x58, 0x43 ),
805};
806static const mbedtls_ecp_point secp256r1_T[16] = {
807 ECP_POINT_INIT_XY_Z1(secp256r1_T_0_X, secp256r1_T_0_Y),
808 ECP_POINT_INIT_XY_Z0(secp256r1_T_1_X, secp256r1_T_1_Y),
809 ECP_POINT_INIT_XY_Z0(secp256r1_T_2_X, secp256r1_T_2_Y),
810 ECP_POINT_INIT_XY_Z0(secp256r1_T_3_X, secp256r1_T_3_Y),
811 ECP_POINT_INIT_XY_Z0(secp256r1_T_4_X, secp256r1_T_4_Y),
812 ECP_POINT_INIT_XY_Z0(secp256r1_T_5_X, secp256r1_T_5_Y),
813 ECP_POINT_INIT_XY_Z0(secp256r1_T_6_X, secp256r1_T_6_Y),
814 ECP_POINT_INIT_XY_Z0(secp256r1_T_7_X, secp256r1_T_7_Y),
815 ECP_POINT_INIT_XY_Z0(secp256r1_T_8_X, secp256r1_T_8_Y),
816 ECP_POINT_INIT_XY_Z0(secp256r1_T_9_X, secp256r1_T_9_Y),
817 ECP_POINT_INIT_XY_Z0(secp256r1_T_10_X, secp256r1_T_10_Y),
818 ECP_POINT_INIT_XY_Z0(secp256r1_T_11_X, secp256r1_T_11_Y),
819 ECP_POINT_INIT_XY_Z0(secp256r1_T_12_X, secp256r1_T_12_Y),
820 ECP_POINT_INIT_XY_Z0(secp256r1_T_13_X, secp256r1_T_13_Y),
821 ECP_POINT_INIT_XY_Z0(secp256r1_T_14_X, secp256r1_T_14_Y),
822 ECP_POINT_INIT_XY_Z0(secp256r1_T_15_X, secp256r1_T_15_Y),
823};
824#else
825#define secp256r1_T NULL
826#endif
827
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200828#endif /* MBEDTLS_ECP_DP_SECP256R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +0100829
830/*
831 * Domain parameters for secp384r1
832 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200833#if defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
834static const mbedtls_mpi_uint secp384r1_p[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +0100835 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00 ),
836 BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF ),
837 BYTES_TO_T_UINT_8( 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
838 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
839 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
840 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +0100841};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200842static const mbedtls_mpi_uint secp384r1_b[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +0100843 BYTES_TO_T_UINT_8( 0xEF, 0x2A, 0xEC, 0xD3, 0xED, 0xC8, 0x85, 0x2A ),
844 BYTES_TO_T_UINT_8( 0x9D, 0xD1, 0x2E, 0x8A, 0x8D, 0x39, 0x56, 0xC6 ),
845 BYTES_TO_T_UINT_8( 0x5A, 0x87, 0x13, 0x50, 0x8F, 0x08, 0x14, 0x03 ),
846 BYTES_TO_T_UINT_8( 0x12, 0x41, 0x81, 0xFE, 0x6E, 0x9C, 0x1D, 0x18 ),
847 BYTES_TO_T_UINT_8( 0x19, 0x2D, 0xF8, 0xE3, 0x6B, 0x05, 0x8E, 0x98 ),
848 BYTES_TO_T_UINT_8( 0xE4, 0xE7, 0x3E, 0xE2, 0xA7, 0x2F, 0x31, 0xB3 ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +0100849};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200850static const mbedtls_mpi_uint secp384r1_gx[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +0100851 BYTES_TO_T_UINT_8( 0xB7, 0x0A, 0x76, 0x72, 0x38, 0x5E, 0x54, 0x3A ),
852 BYTES_TO_T_UINT_8( 0x6C, 0x29, 0x55, 0xBF, 0x5D, 0xF2, 0x02, 0x55 ),
853 BYTES_TO_T_UINT_8( 0x38, 0x2A, 0x54, 0x82, 0xE0, 0x41, 0xF7, 0x59 ),
854 BYTES_TO_T_UINT_8( 0x98, 0x9B, 0xA7, 0x8B, 0x62, 0x3B, 0x1D, 0x6E ),
855 BYTES_TO_T_UINT_8( 0x74, 0xAD, 0x20, 0xF3, 0x1E, 0xC7, 0xB1, 0x8E ),
856 BYTES_TO_T_UINT_8( 0x37, 0x05, 0x8B, 0xBE, 0x22, 0xCA, 0x87, 0xAA ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +0100857};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200858static const mbedtls_mpi_uint secp384r1_gy[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +0100859 BYTES_TO_T_UINT_8( 0x5F, 0x0E, 0xEA, 0x90, 0x7C, 0x1D, 0x43, 0x7A ),
860 BYTES_TO_T_UINT_8( 0x9D, 0x81, 0x7E, 0x1D, 0xCE, 0xB1, 0x60, 0x0A ),
861 BYTES_TO_T_UINT_8( 0xC0, 0xB8, 0xF0, 0xB5, 0x13, 0x31, 0xDA, 0xE9 ),
862 BYTES_TO_T_UINT_8( 0x7C, 0x14, 0x9A, 0x28, 0xBD, 0x1D, 0xF4, 0xF8 ),
863 BYTES_TO_T_UINT_8( 0x29, 0xDC, 0x92, 0x92, 0xBF, 0x98, 0x9E, 0x5D ),
864 BYTES_TO_T_UINT_8( 0x6F, 0x2C, 0x26, 0x96, 0x4A, 0xDE, 0x17, 0x36 ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +0100865};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +0200866static const mbedtls_mpi_uint secp384r1_n[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +0100867 BYTES_TO_T_UINT_8( 0x73, 0x29, 0xC5, 0xCC, 0x6A, 0x19, 0xEC, 0xEC ),
868 BYTES_TO_T_UINT_8( 0x7A, 0xA7, 0xB0, 0x48, 0xB2, 0x0D, 0x1A, 0x58 ),
869 BYTES_TO_T_UINT_8( 0xDF, 0x2D, 0x37, 0xF4, 0x81, 0x4D, 0x63, 0xC7 ),
870 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
871 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
872 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +0100873};
kXuanba9cb762021-04-08 14:32:06 +0800874#if MBEDTLS_ECP_FIXED_POINT_OPTIM == 1
875static const mbedtls_mpi_uint secp384r1_T_0_X[] = {
876 BYTES_TO_T_UINT_8( 0xB7, 0x0A, 0x76, 0x72, 0x38, 0x5E, 0x54, 0x3A ),
877 BYTES_TO_T_UINT_8( 0x6C, 0x29, 0x55, 0xBF, 0x5D, 0xF2, 0x02, 0x55 ),
878 BYTES_TO_T_UINT_8( 0x38, 0x2A, 0x54, 0x82, 0xE0, 0x41, 0xF7, 0x59 ),
879 BYTES_TO_T_UINT_8( 0x98, 0x9B, 0xA7, 0x8B, 0x62, 0x3B, 0x1D, 0x6E ),
880 BYTES_TO_T_UINT_8( 0x74, 0xAD, 0x20, 0xF3, 0x1E, 0xC7, 0xB1, 0x8E ),
881 BYTES_TO_T_UINT_8( 0x37, 0x05, 0x8B, 0xBE, 0x22, 0xCA, 0x87, 0xAA ),
882};
883static const mbedtls_mpi_uint secp384r1_T_0_Y[] = {
884 BYTES_TO_T_UINT_8( 0x5F, 0x0E, 0xEA, 0x90, 0x7C, 0x1D, 0x43, 0x7A ),
885 BYTES_TO_T_UINT_8( 0x9D, 0x81, 0x7E, 0x1D, 0xCE, 0xB1, 0x60, 0x0A ),
886 BYTES_TO_T_UINT_8( 0xC0, 0xB8, 0xF0, 0xB5, 0x13, 0x31, 0xDA, 0xE9 ),
887 BYTES_TO_T_UINT_8( 0x7C, 0x14, 0x9A, 0x28, 0xBD, 0x1D, 0xF4, 0xF8 ),
888 BYTES_TO_T_UINT_8( 0x29, 0xDC, 0x92, 0x92, 0xBF, 0x98, 0x9E, 0x5D ),
889 BYTES_TO_T_UINT_8( 0x6F, 0x2C, 0x26, 0x96, 0x4A, 0xDE, 0x17, 0x36 ),
890};
891static const mbedtls_mpi_uint secp384r1_T_1_X[] = {
892 BYTES_TO_T_UINT_8( 0x46, 0x92, 0x00, 0x2C, 0x78, 0xDB, 0x1F, 0x37 ),
893 BYTES_TO_T_UINT_8( 0x17, 0xF3, 0xEB, 0xB7, 0x06, 0xF7, 0xB6, 0xBC ),
894 BYTES_TO_T_UINT_8( 0x3D, 0xBC, 0x2C, 0xCF, 0xD8, 0xED, 0x53, 0xE7 ),
895 BYTES_TO_T_UINT_8( 0x52, 0x75, 0x7B, 0xA3, 0xAB, 0xC3, 0x2C, 0x85 ),
896 BYTES_TO_T_UINT_8( 0xE5, 0x9D, 0x78, 0x41, 0xF6, 0x76, 0x84, 0xAC ),
897 BYTES_TO_T_UINT_8( 0x54, 0x56, 0xE8, 0x52, 0xB3, 0xCB, 0xA8, 0xBD ),
898};
899static const mbedtls_mpi_uint secp384r1_T_1_Y[] = {
900 BYTES_TO_T_UINT_8( 0x6D, 0xF2, 0xAE, 0xA4, 0xB6, 0x89, 0x1B, 0xDA ),
901 BYTES_TO_T_UINT_8( 0x01, 0x0F, 0xCE, 0x1C, 0x7C, 0xF6, 0x50, 0x4C ),
902 BYTES_TO_T_UINT_8( 0x4C, 0xEB, 0x90, 0xE6, 0x4D, 0xC7, 0xD4, 0x7A ),
903 BYTES_TO_T_UINT_8( 0xD1, 0x49, 0x2D, 0x8A, 0x01, 0x99, 0x60, 0x94 ),
904 BYTES_TO_T_UINT_8( 0x5F, 0x80, 0x9B, 0x9B, 0x6A, 0xB0, 0x07, 0xD9 ),
905 BYTES_TO_T_UINT_8( 0xC2, 0xA2, 0xEE, 0x59, 0xBE, 0x95, 0xBC, 0x23 ),
906};
907static const mbedtls_mpi_uint secp384r1_T_2_X[] = {
908 BYTES_TO_T_UINT_8( 0xE6, 0x9D, 0x56, 0xAE, 0x59, 0xFB, 0x1F, 0x98 ),
909 BYTES_TO_T_UINT_8( 0xCF, 0xAC, 0x91, 0x80, 0x87, 0xA8, 0x6E, 0x58 ),
910 BYTES_TO_T_UINT_8( 0x30, 0x08, 0xA7, 0x08, 0x94, 0x32, 0xFC, 0x67 ),
911 BYTES_TO_T_UINT_8( 0x9F, 0x29, 0x9E, 0x84, 0xF4, 0xE5, 0x6E, 0x7E ),
912 BYTES_TO_T_UINT_8( 0x55, 0x21, 0xB9, 0x50, 0x24, 0xF8, 0x9C, 0xC7 ),
913 BYTES_TO_T_UINT_8( 0x34, 0x04, 0x01, 0xC2, 0xFB, 0x77, 0x3E, 0xDE ),
914};
915static const mbedtls_mpi_uint secp384r1_T_2_Y[] = {
916 BYTES_TO_T_UINT_8( 0x00, 0x38, 0xEE, 0xE3, 0xC7, 0x9D, 0xEC, 0xA6 ),
917 BYTES_TO_T_UINT_8( 0xB6, 0x88, 0xCF, 0x43, 0xFA, 0x92, 0x5E, 0x8E ),
918 BYTES_TO_T_UINT_8( 0xE9, 0xCA, 0x43, 0xF8, 0x3B, 0x49, 0x7E, 0x75 ),
919 BYTES_TO_T_UINT_8( 0x1C, 0xE7, 0xEB, 0x17, 0x45, 0x86, 0xC2, 0xE1 ),
920 BYTES_TO_T_UINT_8( 0x92, 0x69, 0x57, 0x32, 0xE0, 0x9C, 0xD1, 0x00 ),
921 BYTES_TO_T_UINT_8( 0xD9, 0x10, 0xB8, 0x4D, 0xB8, 0xF4, 0x0D, 0xE3 ),
922};
923static const mbedtls_mpi_uint secp384r1_T_3_X[] = {
924 BYTES_TO_T_UINT_8( 0x60, 0xDC, 0x9A, 0xB2, 0x79, 0x39, 0x27, 0x16 ),
925 BYTES_TO_T_UINT_8( 0x4F, 0x71, 0xE4, 0x3B, 0x4D, 0x60, 0x0C, 0xA3 ),
926 BYTES_TO_T_UINT_8( 0x55, 0xBD, 0x19, 0x40, 0xFA, 0x19, 0x2A, 0x5A ),
927 BYTES_TO_T_UINT_8( 0x4D, 0xF8, 0x1E, 0x43, 0xA1, 0x50, 0x8D, 0xEF ),
928 BYTES_TO_T_UINT_8( 0xA3, 0x18, 0x7C, 0x41, 0xFA, 0x7C, 0x1B, 0x58 ),
929 BYTES_TO_T_UINT_8( 0x00, 0x59, 0x24, 0xC4, 0xE9, 0xB7, 0xD3, 0xAD ),
930};
931static const mbedtls_mpi_uint secp384r1_T_3_Y[] = {
932 BYTES_TO_T_UINT_8( 0xBB, 0x01, 0x3D, 0x63, 0x54, 0x45, 0x6F, 0xB7 ),
933 BYTES_TO_T_UINT_8( 0x7B, 0xB2, 0x19, 0xA3, 0x86, 0x1D, 0x42, 0x34 ),
934 BYTES_TO_T_UINT_8( 0x84, 0x02, 0x87, 0x18, 0x92, 0x52, 0x1A, 0x71 ),
935 BYTES_TO_T_UINT_8( 0x6C, 0x18, 0xB1, 0x5D, 0x18, 0x1B, 0x37, 0xFE ),
936 BYTES_TO_T_UINT_8( 0xF4, 0x74, 0x61, 0xBA, 0x18, 0xAF, 0x40, 0x30 ),
937 BYTES_TO_T_UINT_8( 0xDA, 0x7D, 0x3C, 0x52, 0x0F, 0x07, 0xB0, 0x6F ),
938};
939static const mbedtls_mpi_uint secp384r1_T_4_X[] = {
940 BYTES_TO_T_UINT_8( 0x09, 0x39, 0x13, 0xAA, 0x60, 0x15, 0x99, 0x30 ),
941 BYTES_TO_T_UINT_8( 0x17, 0x00, 0xCB, 0xC6, 0xB1, 0xDB, 0x97, 0x90 ),
942 BYTES_TO_T_UINT_8( 0xE6, 0xFA, 0x60, 0xB8, 0x24, 0xE4, 0x7D, 0xD3 ),
943 BYTES_TO_T_UINT_8( 0xDD, 0x75, 0xB3, 0x70, 0xB2, 0x83, 0xB1, 0x9B ),
944 BYTES_TO_T_UINT_8( 0xA3, 0xE3, 0x6C, 0xCD, 0x33, 0x62, 0x7A, 0x56 ),
945 BYTES_TO_T_UINT_8( 0x88, 0x30, 0xDC, 0x0F, 0x9F, 0xBB, 0xB8, 0xAA ),
946};
947static const mbedtls_mpi_uint secp384r1_T_4_Y[] = {
948 BYTES_TO_T_UINT_8( 0xA6, 0xD5, 0x0A, 0x60, 0x81, 0xB9, 0xC5, 0x16 ),
949 BYTES_TO_T_UINT_8( 0x44, 0xAA, 0x2F, 0xD6, 0xF2, 0x73, 0xDF, 0xEB ),
950 BYTES_TO_T_UINT_8( 0xF3, 0x7B, 0x74, 0xC9, 0xB3, 0x5B, 0x95, 0x6D ),
951 BYTES_TO_T_UINT_8( 0xAC, 0x04, 0xEB, 0x15, 0xC8, 0x5F, 0x00, 0xF6 ),
952 BYTES_TO_T_UINT_8( 0xB5, 0x50, 0x20, 0x28, 0xD1, 0x01, 0xAF, 0xF0 ),
953 BYTES_TO_T_UINT_8( 0x28, 0x6D, 0x4F, 0x31, 0x81, 0x2F, 0x94, 0x48 ),
954};
955static const mbedtls_mpi_uint secp384r1_T_5_X[] = {
956 BYTES_TO_T_UINT_8( 0x46, 0x2F, 0xD8, 0xB6, 0x63, 0x7C, 0xE9, 0x50 ),
957 BYTES_TO_T_UINT_8( 0xD9, 0x8C, 0xB9, 0x14, 0xD9, 0x37, 0x63, 0xDE ),
958 BYTES_TO_T_UINT_8( 0x10, 0x02, 0xB8, 0x46, 0xAD, 0xCE, 0x7B, 0x38 ),
959 BYTES_TO_T_UINT_8( 0x82, 0x47, 0x2D, 0x66, 0xA7, 0xE9, 0x33, 0x23 ),
960 BYTES_TO_T_UINT_8( 0x92, 0xF9, 0x93, 0x94, 0xA8, 0x48, 0xB3, 0x4F ),
961 BYTES_TO_T_UINT_8( 0xE9, 0x4A, 0xAC, 0x51, 0x08, 0x72, 0x2F, 0x1A ),
962};
963static const mbedtls_mpi_uint secp384r1_T_5_Y[] = {
964 BYTES_TO_T_UINT_8( 0xDA, 0xAD, 0xA0, 0xF9, 0x81, 0xE1, 0x78, 0x97 ),
965 BYTES_TO_T_UINT_8( 0x3A, 0x9A, 0x63, 0xD8, 0xBA, 0x79, 0x1A, 0x17 ),
966 BYTES_TO_T_UINT_8( 0x34, 0x31, 0x7B, 0x7A, 0x5A, 0x5D, 0x7D, 0x2D ),
967 BYTES_TO_T_UINT_8( 0x83, 0x96, 0x12, 0x4B, 0x19, 0x09, 0xE0, 0xB7 ),
968 BYTES_TO_T_UINT_8( 0x55, 0x8A, 0x57, 0xEE, 0x4E, 0x6E, 0x7E, 0xEC ),
969 BYTES_TO_T_UINT_8( 0x11, 0x9D, 0x69, 0xDC, 0xB3, 0xDA, 0xD8, 0x08 ),
970};
971static const mbedtls_mpi_uint secp384r1_T_6_X[] = {
972 BYTES_TO_T_UINT_8( 0x68, 0x49, 0x03, 0x03, 0x33, 0x6F, 0x28, 0x4A ),
973 BYTES_TO_T_UINT_8( 0x5D, 0xDB, 0xA7, 0x05, 0x8C, 0xF3, 0x4D, 0xFB ),
974 BYTES_TO_T_UINT_8( 0x8E, 0x92, 0xB1, 0xA8, 0xEC, 0x0D, 0x64, 0x3B ),
975 BYTES_TO_T_UINT_8( 0x4E, 0xFC, 0xFD, 0xD0, 0x4B, 0x88, 0x1B, 0x5D ),
976 BYTES_TO_T_UINT_8( 0x83, 0x9C, 0x51, 0x69, 0xCE, 0x71, 0x73, 0xF5 ),
977 BYTES_TO_T_UINT_8( 0xB8, 0x5A, 0x14, 0x23, 0x1A, 0x46, 0x63, 0x5F ),
978};
979static const mbedtls_mpi_uint secp384r1_T_6_Y[] = {
980 BYTES_TO_T_UINT_8( 0xBC, 0x4C, 0x70, 0x44, 0x18, 0xCD, 0xEF, 0xED ),
981 BYTES_TO_T_UINT_8( 0xC2, 0x49, 0xDD, 0x64, 0x7E, 0x7E, 0x4D, 0x92 ),
982 BYTES_TO_T_UINT_8( 0xA2, 0x32, 0x7C, 0x09, 0xD0, 0x3F, 0xD6, 0x2C ),
983 BYTES_TO_T_UINT_8( 0x6D, 0xE0, 0x4F, 0x65, 0x0C, 0x7A, 0x54, 0x3E ),
984 BYTES_TO_T_UINT_8( 0x16, 0xFA, 0xFB, 0x4A, 0xB4, 0x79, 0x5A, 0x8C ),
985 BYTES_TO_T_UINT_8( 0x04, 0x5D, 0x1B, 0x2B, 0xDA, 0xBC, 0x9A, 0x74 ),
986};
987static const mbedtls_mpi_uint secp384r1_T_7_X[] = {
988 BYTES_TO_T_UINT_8( 0x51, 0xAC, 0x56, 0xF7, 0x5F, 0x51, 0x68, 0x0B ),
989 BYTES_TO_T_UINT_8( 0xC6, 0xE0, 0x1D, 0xBC, 0x13, 0x4E, 0xAC, 0x03 ),
990 BYTES_TO_T_UINT_8( 0xB7, 0xF5, 0xC5, 0xE6, 0xD2, 0x88, 0xBA, 0xCB ),
991 BYTES_TO_T_UINT_8( 0xFA, 0x0E, 0x28, 0x23, 0x58, 0x67, 0xFA, 0xEE ),
992 BYTES_TO_T_UINT_8( 0x9E, 0x80, 0x4B, 0xD8, 0xC4, 0xDF, 0x15, 0xE4 ),
993 BYTES_TO_T_UINT_8( 0xF1, 0x0E, 0x58, 0xE6, 0x2C, 0x59, 0xC2, 0x03 ),
994};
995static const mbedtls_mpi_uint secp384r1_T_7_Y[] = {
996 BYTES_TO_T_UINT_8( 0x9B, 0x26, 0x27, 0x99, 0x16, 0x2B, 0x22, 0x0B ),
997 BYTES_TO_T_UINT_8( 0xBA, 0xF3, 0x8F, 0xC3, 0x2A, 0x9B, 0xFC, 0x38 ),
998 BYTES_TO_T_UINT_8( 0xFC, 0x2E, 0x83, 0x3D, 0xFE, 0x9E, 0x3C, 0x1B ),
999 BYTES_TO_T_UINT_8( 0x08, 0x57, 0xCD, 0x2D, 0xC1, 0x49, 0x38, 0xB5 ),
1000 BYTES_TO_T_UINT_8( 0x95, 0x42, 0x8B, 0x33, 0x89, 0x1F, 0xEA, 0x01 ),
1001 BYTES_TO_T_UINT_8( 0xAA, 0x1D, 0x13, 0xD7, 0x50, 0xBB, 0x3E, 0xEB ),
1002};
1003static const mbedtls_mpi_uint secp384r1_T_8_X[] = {
1004 BYTES_TO_T_UINT_8( 0xD2, 0x9A, 0x52, 0xD2, 0x54, 0x7C, 0x97, 0xF2 ),
1005 BYTES_TO_T_UINT_8( 0xE0, 0x33, 0x6E, 0xED, 0xD9, 0x87, 0x50, 0xC5 ),
1006 BYTES_TO_T_UINT_8( 0x5A, 0x35, 0x7E, 0x16, 0x40, 0x15, 0x83, 0xB8 ),
1007 BYTES_TO_T_UINT_8( 0x33, 0x2B, 0xA4, 0xAB, 0x03, 0x91, 0xEA, 0xFE ),
1008 BYTES_TO_T_UINT_8( 0xC1, 0x47, 0x39, 0xEF, 0x05, 0x59, 0xD0, 0x90 ),
1009 BYTES_TO_T_UINT_8( 0xBF, 0x24, 0x0D, 0x76, 0x11, 0x53, 0x08, 0xAF ),
1010};
1011static const mbedtls_mpi_uint secp384r1_T_8_Y[] = {
1012 BYTES_TO_T_UINT_8( 0x1F, 0x2F, 0xDD, 0xBD, 0x50, 0x48, 0xB1, 0xE5 ),
1013 BYTES_TO_T_UINT_8( 0x80, 0x1C, 0x84, 0x55, 0x78, 0x14, 0xEB, 0xF6 ),
1014 BYTES_TO_T_UINT_8( 0xD9, 0x5E, 0x3E, 0xA6, 0xAF, 0xF6, 0xC7, 0x04 ),
1015 BYTES_TO_T_UINT_8( 0xE7, 0x11, 0xE2, 0x65, 0xCA, 0x41, 0x95, 0x3B ),
1016 BYTES_TO_T_UINT_8( 0xAE, 0x83, 0xD8, 0xE6, 0x4D, 0x22, 0x06, 0x2D ),
1017 BYTES_TO_T_UINT_8( 0xFA, 0x7F, 0x25, 0x2A, 0xAA, 0x28, 0x46, 0x97 ),
1018};
1019static const mbedtls_mpi_uint secp384r1_T_9_X[] = {
1020 BYTES_TO_T_UINT_8( 0x79, 0xDB, 0x15, 0x56, 0x84, 0xCB, 0xC0, 0x56 ),
1021 BYTES_TO_T_UINT_8( 0x56, 0xDB, 0x0E, 0x08, 0xC9, 0xF5, 0xD4, 0x9E ),
1022 BYTES_TO_T_UINT_8( 0xE6, 0x62, 0xD0, 0x1A, 0x7C, 0x13, 0xD5, 0x07 ),
1023 BYTES_TO_T_UINT_8( 0x7D, 0xAD, 0x53, 0xE0, 0x32, 0x21, 0xA0, 0xC0 ),
1024 BYTES_TO_T_UINT_8( 0xC5, 0x38, 0x81, 0x21, 0x23, 0x0E, 0xD2, 0xBB ),
1025 BYTES_TO_T_UINT_8( 0x1C, 0x51, 0x05, 0xD0, 0x1E, 0x82, 0xA9, 0x71 ),
1026};
1027static const mbedtls_mpi_uint secp384r1_T_9_Y[] = {
1028 BYTES_TO_T_UINT_8( 0xA7, 0xC3, 0x27, 0xBF, 0xC6, 0xAA, 0xB7, 0xB9 ),
1029 BYTES_TO_T_UINT_8( 0xCB, 0x65, 0x45, 0xDF, 0xB9, 0x46, 0x17, 0x46 ),
1030 BYTES_TO_T_UINT_8( 0xF5, 0x38, 0x3F, 0xB2, 0xB1, 0x5D, 0xCA, 0x1C ),
1031 BYTES_TO_T_UINT_8( 0x88, 0x29, 0x6C, 0x63, 0xE9, 0xD7, 0x48, 0xB8 ),
1032 BYTES_TO_T_UINT_8( 0xBC, 0xF1, 0xD7, 0x99, 0x8C, 0xC2, 0x05, 0x99 ),
1033 BYTES_TO_T_UINT_8( 0x6D, 0xE6, 0x5E, 0x82, 0x6D, 0xE5, 0x7E, 0xD5 ),
1034};
1035static const mbedtls_mpi_uint secp384r1_T_10_X[] = {
1036 BYTES_TO_T_UINT_8( 0x7B, 0x61, 0xFA, 0x7D, 0x01, 0xDB, 0xB6, 0x63 ),
1037 BYTES_TO_T_UINT_8( 0x11, 0xC6, 0x58, 0x39, 0xF4, 0xC6, 0x82, 0x23 ),
1038 BYTES_TO_T_UINT_8( 0x47, 0x5A, 0x7A, 0x80, 0x08, 0xCD, 0xAA, 0xD8 ),
1039 BYTES_TO_T_UINT_8( 0xDA, 0x8C, 0xC6, 0x3F, 0x3C, 0xA5, 0x68, 0xF4 ),
1040 BYTES_TO_T_UINT_8( 0xBB, 0xF5, 0xD5, 0x17, 0xAE, 0x36, 0xD8, 0x8A ),
1041 BYTES_TO_T_UINT_8( 0xC7, 0xAD, 0x92, 0xC5, 0x57, 0x6C, 0xDA, 0x91 ),
1042};
1043static const mbedtls_mpi_uint secp384r1_T_10_Y[] = {
1044 BYTES_TO_T_UINT_8( 0xE8, 0x67, 0x17, 0xC0, 0x40, 0x78, 0x8C, 0x84 ),
1045 BYTES_TO_T_UINT_8( 0x7E, 0x9F, 0xF4, 0xAA, 0xDA, 0x5C, 0x7E, 0xB2 ),
1046 BYTES_TO_T_UINT_8( 0x96, 0xDB, 0x42, 0x3E, 0x72, 0x64, 0xA0, 0x67 ),
1047 BYTES_TO_T_UINT_8( 0x27, 0xF9, 0x41, 0x17, 0x43, 0xE3, 0xE8, 0xA8 ),
1048 BYTES_TO_T_UINT_8( 0x66, 0xDD, 0xCC, 0x43, 0x7E, 0x16, 0x05, 0x03 ),
1049 BYTES_TO_T_UINT_8( 0x36, 0x4B, 0xCF, 0x48, 0x8F, 0x41, 0x90, 0xE5 ),
1050};
1051static const mbedtls_mpi_uint secp384r1_T_11_X[] = {
1052 BYTES_TO_T_UINT_8( 0x98, 0x0C, 0x6B, 0x9D, 0x22, 0x04, 0xBC, 0x5C ),
1053 BYTES_TO_T_UINT_8( 0x86, 0x63, 0x79, 0x2F, 0x6A, 0x0E, 0x8A, 0xDE ),
1054 BYTES_TO_T_UINT_8( 0x29, 0x67, 0x3F, 0x02, 0xB8, 0x91, 0x7F, 0x74 ),
1055 BYTES_TO_T_UINT_8( 0xFC, 0x14, 0x64, 0xA0, 0x33, 0xF4, 0x6B, 0x50 ),
1056 BYTES_TO_T_UINT_8( 0x1C, 0x44, 0x71, 0x87, 0xB8, 0x88, 0x3F, 0x45 ),
1057 BYTES_TO_T_UINT_8( 0x1B, 0x2B, 0x85, 0x05, 0xC5, 0x44, 0x53, 0x15 ),
1058};
1059static const mbedtls_mpi_uint secp384r1_T_11_Y[] = {
1060 BYTES_TO_T_UINT_8( 0x3E, 0x2B, 0xFE, 0xD1, 0x1C, 0x73, 0xE3, 0x2E ),
1061 BYTES_TO_T_UINT_8( 0x66, 0x33, 0xA1, 0xD3, 0x69, 0x1C, 0x9D, 0xD2 ),
1062 BYTES_TO_T_UINT_8( 0xE0, 0x5A, 0xBA, 0xB6, 0xAE, 0x1B, 0x94, 0x04 ),
1063 BYTES_TO_T_UINT_8( 0xAF, 0x74, 0x90, 0x5C, 0x57, 0xB0, 0x3A, 0x45 ),
1064 BYTES_TO_T_UINT_8( 0xDD, 0x2F, 0x93, 0x20, 0x24, 0x54, 0x1D, 0x8D ),
1065 BYTES_TO_T_UINT_8( 0xFA, 0x78, 0x9D, 0x71, 0x67, 0x5D, 0x49, 0x98 ),
1066};
1067static const mbedtls_mpi_uint secp384r1_T_12_X[] = {
1068 BYTES_TO_T_UINT_8( 0x12, 0xC8, 0x0E, 0x11, 0x8D, 0xE0, 0x8F, 0x69 ),
1069 BYTES_TO_T_UINT_8( 0x59, 0x7F, 0x79, 0x6C, 0x5F, 0xB7, 0xBC, 0xB1 ),
1070 BYTES_TO_T_UINT_8( 0x88, 0xE1, 0x83, 0x3C, 0x12, 0xBB, 0xEE, 0x96 ),
1071 BYTES_TO_T_UINT_8( 0x2A, 0xC2, 0xC4, 0x1B, 0x41, 0x71, 0xB9, 0x17 ),
1072 BYTES_TO_T_UINT_8( 0xB0, 0xEE, 0xBB, 0x1D, 0x89, 0x50, 0x88, 0xF2 ),
1073 BYTES_TO_T_UINT_8( 0xFC, 0x1C, 0x55, 0x74, 0xEB, 0xDE, 0x92, 0x3F ),
1074};
1075static const mbedtls_mpi_uint secp384r1_T_12_Y[] = {
1076 BYTES_TO_T_UINT_8( 0x9C, 0x38, 0x92, 0x06, 0x19, 0xD0, 0xB3, 0xB2 ),
1077 BYTES_TO_T_UINT_8( 0x2A, 0x99, 0x26, 0xA3, 0x5F, 0xE2, 0xC1, 0x81 ),
1078 BYTES_TO_T_UINT_8( 0x75, 0xFC, 0xFD, 0xC3, 0xB6, 0x26, 0x24, 0x8F ),
1079 BYTES_TO_T_UINT_8( 0xAF, 0xAD, 0xE7, 0x49, 0xB7, 0x64, 0x4B, 0x96 ),
1080 BYTES_TO_T_UINT_8( 0x6C, 0x4E, 0x95, 0xAD, 0x07, 0xFE, 0xB6, 0x30 ),
1081 BYTES_TO_T_UINT_8( 0x4F, 0x15, 0xE7, 0x2D, 0x19, 0xA9, 0x08, 0x10 ),
1082};
1083static const mbedtls_mpi_uint secp384r1_T_13_X[] = {
1084 BYTES_TO_T_UINT_8( 0xBE, 0xBD, 0xAC, 0x0A, 0x3F, 0x6B, 0xFF, 0xFA ),
1085 BYTES_TO_T_UINT_8( 0xE0, 0xE4, 0x74, 0x14, 0xD9, 0x70, 0x1D, 0x71 ),
1086 BYTES_TO_T_UINT_8( 0xF2, 0xB0, 0x71, 0xBB, 0xD8, 0x18, 0x96, 0x2B ),
1087 BYTES_TO_T_UINT_8( 0xDA, 0xB8, 0x19, 0x90, 0x80, 0xB5, 0xEE, 0x01 ),
1088 BYTES_TO_T_UINT_8( 0x91, 0x21, 0x20, 0xA6, 0x17, 0x48, 0x03, 0x6F ),
1089 BYTES_TO_T_UINT_8( 0xE3, 0x1D, 0xBB, 0x6D, 0x94, 0x20, 0x34, 0xF1 ),
1090};
1091static const mbedtls_mpi_uint secp384r1_T_13_Y[] = {
1092 BYTES_TO_T_UINT_8( 0x59, 0x82, 0x67, 0x4B, 0x8E, 0x4E, 0xBE, 0xE2 ),
1093 BYTES_TO_T_UINT_8( 0xBE, 0xDA, 0x77, 0xF8, 0x23, 0x55, 0x2B, 0x2D ),
1094 BYTES_TO_T_UINT_8( 0x5C, 0x02, 0xDE, 0x25, 0x35, 0x2D, 0x74, 0x51 ),
1095 BYTES_TO_T_UINT_8( 0xD0, 0x0C, 0xB8, 0x0B, 0x39, 0xBA, 0xAD, 0x04 ),
1096 BYTES_TO_T_UINT_8( 0xA6, 0x0E, 0x28, 0x4D, 0xE1, 0x3D, 0xE4, 0x1B ),
1097 BYTES_TO_T_UINT_8( 0x5D, 0xEC, 0x0A, 0xD4, 0xB8, 0xC4, 0x8D, 0xB0 ),
1098};
1099static const mbedtls_mpi_uint secp384r1_T_14_X[] = {
1100 BYTES_TO_T_UINT_8( 0x3E, 0x68, 0xCE, 0xC2, 0x55, 0x4D, 0x0C, 0x6D ),
1101 BYTES_TO_T_UINT_8( 0x9B, 0x20, 0x93, 0x32, 0x90, 0xD6, 0xAE, 0x47 ),
1102 BYTES_TO_T_UINT_8( 0xDD, 0x78, 0xAB, 0x43, 0x9E, 0xEB, 0x73, 0xAE ),
1103 BYTES_TO_T_UINT_8( 0xED, 0x97, 0xC3, 0x83, 0xA6, 0x3C, 0xF1, 0xBF ),
1104 BYTES_TO_T_UINT_8( 0x0F, 0x25, 0x25, 0x66, 0x08, 0x26, 0xFA, 0x4B ),
1105 BYTES_TO_T_UINT_8( 0x41, 0xFB, 0x44, 0x5D, 0x82, 0xEC, 0x3B, 0xAC ),
1106};
1107static const mbedtls_mpi_uint secp384r1_T_14_Y[] = {
1108 BYTES_TO_T_UINT_8( 0x58, 0x90, 0xEA, 0xB5, 0x04, 0x99, 0xD0, 0x69 ),
1109 BYTES_TO_T_UINT_8( 0x4A, 0xF2, 0x22, 0xA0, 0xEB, 0xFD, 0x45, 0x87 ),
1110 BYTES_TO_T_UINT_8( 0x5D, 0xA4, 0x81, 0x32, 0xFC, 0xFA, 0xEE, 0x5B ),
1111 BYTES_TO_T_UINT_8( 0x27, 0xBB, 0xA4, 0x6A, 0x77, 0x41, 0x5C, 0x1D ),
1112 BYTES_TO_T_UINT_8( 0xA1, 0x1E, 0xAA, 0x4F, 0xF0, 0x10, 0xB3, 0x50 ),
1113 BYTES_TO_T_UINT_8( 0x09, 0x74, 0x13, 0x14, 0x9E, 0x90, 0xD7, 0xE6 ),
1114};
1115static const mbedtls_mpi_uint secp384r1_T_15_X[] = {
1116 BYTES_TO_T_UINT_8( 0xDB, 0xBD, 0x70, 0x4F, 0xA8, 0xD1, 0x06, 0x2C ),
1117 BYTES_TO_T_UINT_8( 0x19, 0x4E, 0x2E, 0x68, 0xFC, 0x35, 0xFA, 0x50 ),
1118 BYTES_TO_T_UINT_8( 0x60, 0x53, 0x75, 0xED, 0xF2, 0x5F, 0xC2, 0xEB ),
1119 BYTES_TO_T_UINT_8( 0x39, 0x87, 0x6B, 0x9F, 0x05, 0xE2, 0x22, 0x93 ),
1120 BYTES_TO_T_UINT_8( 0x4F, 0x1A, 0xA8, 0xB7, 0x03, 0x9E, 0x6D, 0x7C ),
1121 BYTES_TO_T_UINT_8( 0xCB, 0xD0, 0x69, 0x88, 0xA8, 0x39, 0x9E, 0x3A ),
1122};
1123static const mbedtls_mpi_uint secp384r1_T_15_Y[] = {
1124 BYTES_TO_T_UINT_8( 0xF8, 0xEF, 0x68, 0xFE, 0xEC, 0x24, 0x08, 0x15 ),
1125 BYTES_TO_T_UINT_8( 0xA1, 0x06, 0x4B, 0x92, 0x0D, 0xB7, 0x34, 0x74 ),
1126 BYTES_TO_T_UINT_8( 0x3E, 0xF4, 0xDD, 0x1A, 0xA0, 0x4A, 0xE4, 0x45 ),
1127 BYTES_TO_T_UINT_8( 0xC3, 0x63, 0x4F, 0x4F, 0xCE, 0xBB, 0xD6, 0xD3 ),
1128 BYTES_TO_T_UINT_8( 0xCD, 0xEE, 0x8D, 0xDF, 0x3F, 0x73, 0xB7, 0xAC ),
1129 BYTES_TO_T_UINT_8( 0xDF, 0x06, 0xB6, 0x80, 0x4D, 0x81, 0xD9, 0x53 ),
1130};
1131static const mbedtls_mpi_uint secp384r1_T_16_X[] = {
1132 BYTES_TO_T_UINT_8( 0x15, 0xF5, 0x13, 0xDF, 0x13, 0x19, 0x97, 0x94 ),
1133 BYTES_TO_T_UINT_8( 0x08, 0xF9, 0xB3, 0x33, 0x66, 0x82, 0x21, 0xFE ),
1134 BYTES_TO_T_UINT_8( 0xF5, 0xFC, 0x39, 0x16, 0x23, 0x43, 0x76, 0x0E ),
1135 BYTES_TO_T_UINT_8( 0x09, 0x48, 0x25, 0xA1, 0x64, 0x95, 0x1C, 0x2F ),
1136 BYTES_TO_T_UINT_8( 0x43, 0xAC, 0x15, 0x57, 0xD9, 0xDE, 0xA0, 0x28 ),
1137 BYTES_TO_T_UINT_8( 0x16, 0x5F, 0xB8, 0x3D, 0x48, 0x91, 0x24, 0xCC ),
1138};
1139static const mbedtls_mpi_uint secp384r1_T_16_Y[] = {
1140 BYTES_TO_T_UINT_8( 0x2D, 0xF2, 0xC8, 0x54, 0xD1, 0x32, 0xBD, 0xC4 ),
1141 BYTES_TO_T_UINT_8( 0x8A, 0x3B, 0xF0, 0xAA, 0x9D, 0xD8, 0xF4, 0x20 ),
1142 BYTES_TO_T_UINT_8( 0x4F, 0xC3, 0xBB, 0x6C, 0x66, 0xAC, 0x25, 0x2D ),
1143 BYTES_TO_T_UINT_8( 0x6F, 0x25, 0x10, 0xB2, 0xE1, 0x41, 0xDE, 0x1D ),
1144 BYTES_TO_T_UINT_8( 0x3C, 0xE8, 0x30, 0xB8, 0x37, 0xBC, 0x2A, 0x98 ),
1145 BYTES_TO_T_UINT_8( 0xBA, 0x57, 0x01, 0x4A, 0x1E, 0x78, 0x9F, 0x85 ),
1146};
1147static const mbedtls_mpi_uint secp384r1_T_17_X[] = {
1148 BYTES_TO_T_UINT_8( 0xBD, 0x19, 0xCD, 0x12, 0x0B, 0x51, 0x4F, 0x56 ),
1149 BYTES_TO_T_UINT_8( 0x30, 0x4B, 0x3D, 0x24, 0xA4, 0x16, 0x59, 0x05 ),
1150 BYTES_TO_T_UINT_8( 0xAC, 0xEB, 0xD3, 0x59, 0x2E, 0x75, 0x7C, 0x01 ),
1151 BYTES_TO_T_UINT_8( 0x8C, 0xB9, 0xB4, 0xA5, 0xD9, 0x2E, 0x29, 0x4C ),
1152 BYTES_TO_T_UINT_8( 0x86, 0x16, 0x05, 0x75, 0x02, 0xB3, 0x06, 0xEE ),
1153 BYTES_TO_T_UINT_8( 0xAB, 0x7C, 0x9F, 0x79, 0x91, 0xF1, 0x4F, 0x23 ),
1154};
1155static const mbedtls_mpi_uint secp384r1_T_17_Y[] = {
1156 BYTES_TO_T_UINT_8( 0x65, 0x98, 0x7C, 0x84, 0xE1, 0xFF, 0x30, 0x77 ),
1157 BYTES_TO_T_UINT_8( 0x71, 0xE2, 0xC2, 0x5F, 0x55, 0x40, 0xBD, 0xCD ),
1158 BYTES_TO_T_UINT_8( 0x69, 0x65, 0x87, 0x3F, 0xC4, 0xC2, 0x24, 0x57 ),
1159 BYTES_TO_T_UINT_8( 0x0E, 0x30, 0x0A, 0x60, 0x15, 0xD1, 0x24, 0x48 ),
1160 BYTES_TO_T_UINT_8( 0x57, 0x99, 0xD9, 0xB6, 0xAE, 0xB1, 0xAF, 0x1D ),
1161 BYTES_TO_T_UINT_8( 0x9B, 0x80, 0xEE, 0xA2, 0x0F, 0x74, 0xB9, 0xF3 ),
1162};
1163static const mbedtls_mpi_uint secp384r1_T_18_X[] = {
1164 BYTES_TO_T_UINT_8( 0x03, 0xE6, 0x0F, 0x37, 0xC1, 0x10, 0x99, 0x1E ),
1165 BYTES_TO_T_UINT_8( 0x61, 0xAD, 0x9D, 0x5D, 0x80, 0x01, 0xA6, 0xFE ),
1166 BYTES_TO_T_UINT_8( 0xB0, 0x0F, 0x10, 0x2A, 0x9D, 0x20, 0x38, 0xEB ),
1167 BYTES_TO_T_UINT_8( 0x6C, 0x60, 0xCB, 0xCE, 0x5A, 0xA0, 0xA7, 0x32 ),
1168 BYTES_TO_T_UINT_8( 0xBA, 0xCF, 0x14, 0xDF, 0xBF, 0xE5, 0x74, 0x2D ),
1169 BYTES_TO_T_UINT_8( 0xB5, 0x12, 0x1A, 0xDD, 0x59, 0x02, 0x5D, 0xC6 ),
1170};
1171static const mbedtls_mpi_uint secp384r1_T_18_Y[] = {
1172 BYTES_TO_T_UINT_8( 0xC8, 0xC9, 0xF8, 0xF5, 0xB6, 0x13, 0x4D, 0x7B ),
1173 BYTES_TO_T_UINT_8( 0xED, 0x45, 0xB1, 0x93, 0xB3, 0xA2, 0x79, 0xDC ),
1174 BYTES_TO_T_UINT_8( 0x74, 0xF6, 0xCF, 0xF7, 0xE6, 0x29, 0x9C, 0xCC ),
1175 BYTES_TO_T_UINT_8( 0x87, 0x50, 0x65, 0x80, 0xBC, 0x59, 0x0A, 0x59 ),
1176 BYTES_TO_T_UINT_8( 0x0E, 0xF0, 0x24, 0x35, 0xA2, 0x46, 0xF0, 0x0C ),
1177 BYTES_TO_T_UINT_8( 0xBD, 0x26, 0xC0, 0x9D, 0x61, 0x56, 0x62, 0x67 ),
1178};
1179static const mbedtls_mpi_uint secp384r1_T_19_X[] = {
1180 BYTES_TO_T_UINT_8( 0x10, 0xBB, 0xC2, 0x24, 0x43, 0x2E, 0x37, 0x54 ),
1181 BYTES_TO_T_UINT_8( 0x8A, 0xF7, 0xCE, 0x35, 0xFC, 0x77, 0xF3, 0x3F ),
1182 BYTES_TO_T_UINT_8( 0x75, 0x34, 0x96, 0xD5, 0x4A, 0x76, 0x9D, 0x6B ),
1183 BYTES_TO_T_UINT_8( 0xB8, 0x3B, 0x0F, 0xEA, 0xA8, 0x12, 0x0B, 0x22 ),
1184 BYTES_TO_T_UINT_8( 0x66, 0x3F, 0x5D, 0x2D, 0x1C, 0xD4, 0x9E, 0xFB ),
1185 BYTES_TO_T_UINT_8( 0x7D, 0x2E, 0xDD, 0xC7, 0x6E, 0xAB, 0xAF, 0xDC ),
1186};
1187static const mbedtls_mpi_uint secp384r1_T_19_Y[] = {
1188 BYTES_TO_T_UINT_8( 0x8C, 0xB2, 0x7B, 0x0C, 0x9A, 0x83, 0x8E, 0x59 ),
1189 BYTES_TO_T_UINT_8( 0x30, 0x51, 0x90, 0x92, 0x79, 0x32, 0x19, 0xC3 ),
1190 BYTES_TO_T_UINT_8( 0xEE, 0x89, 0xF9, 0xD0, 0xCF, 0x2C, 0xA5, 0x8F ),
1191 BYTES_TO_T_UINT_8( 0x7B, 0x50, 0x21, 0xDE, 0x50, 0x41, 0x9D, 0x81 ),
1192 BYTES_TO_T_UINT_8( 0xE0, 0x7D, 0x2B, 0x9E, 0x9D, 0x95, 0xA8, 0xE3 ),
1193 BYTES_TO_T_UINT_8( 0xD8, 0xA5, 0x20, 0x87, 0x88, 0x97, 0x5F, 0xAA ),
1194};
1195static const mbedtls_mpi_uint secp384r1_T_20_X[] = {
1196 BYTES_TO_T_UINT_8( 0x64, 0x59, 0xB4, 0x66, 0x7E, 0xE8, 0x5A, 0x60 ),
1197 BYTES_TO_T_UINT_8( 0xA5, 0x5C, 0x7E, 0xB2, 0xAD, 0xD9, 0xC9, 0xDA ),
1198 BYTES_TO_T_UINT_8( 0x82, 0x97, 0x49, 0xA3, 0x13, 0x83, 0x07, 0x2E ),
1199 BYTES_TO_T_UINT_8( 0x5A, 0x26, 0xC7, 0x13, 0x35, 0x0D, 0xB0, 0x6B ),
1200 BYTES_TO_T_UINT_8( 0x1E, 0x60, 0xAB, 0xFA, 0x4B, 0x93, 0x18, 0x2C ),
1201 BYTES_TO_T_UINT_8( 0x54, 0x2D, 0x1C, 0x31, 0x4C, 0xE4, 0x61, 0xAE ),
1202};
1203static const mbedtls_mpi_uint secp384r1_T_20_Y[] = {
1204 BYTES_TO_T_UINT_8( 0xDE, 0x4D, 0x1E, 0x51, 0x59, 0x6E, 0x91, 0xC5 ),
1205 BYTES_TO_T_UINT_8( 0x38, 0x54, 0x4D, 0x51, 0xED, 0x36, 0xCC, 0x60 ),
1206 BYTES_TO_T_UINT_8( 0x18, 0xA8, 0x56, 0xC7, 0x78, 0x27, 0x33, 0xC5 ),
1207 BYTES_TO_T_UINT_8( 0x42, 0xB7, 0x95, 0xC9, 0x8B, 0xC8, 0x6A, 0xBC ),
1208 BYTES_TO_T_UINT_8( 0x5E, 0xE9, 0x13, 0x96, 0xB3, 0xE1, 0xF9, 0xEE ),
1209 BYTES_TO_T_UINT_8( 0xF5, 0x46, 0xB0, 0x5E, 0xC3, 0x94, 0x03, 0x05 ),
1210};
1211static const mbedtls_mpi_uint secp384r1_T_21_X[] = {
1212 BYTES_TO_T_UINT_8( 0x6D, 0x5B, 0x29, 0x30, 0x41, 0x1A, 0x9E, 0xB6 ),
1213 BYTES_TO_T_UINT_8( 0x76, 0xCA, 0x83, 0x31, 0x5B, 0xA7, 0xCB, 0x42 ),
1214 BYTES_TO_T_UINT_8( 0x21, 0x41, 0x50, 0x44, 0x4D, 0x64, 0x31, 0x89 ),
1215 BYTES_TO_T_UINT_8( 0xCF, 0x84, 0xC2, 0x5D, 0x97, 0xA5, 0x3C, 0x18 ),
1216 BYTES_TO_T_UINT_8( 0xF0, 0x0F, 0xA5, 0xFD, 0x8E, 0x5A, 0x47, 0x2C ),
1217 BYTES_TO_T_UINT_8( 0x7C, 0x58, 0x02, 0x2D, 0x40, 0xB1, 0x0B, 0xBA ),
1218};
1219static const mbedtls_mpi_uint secp384r1_T_21_Y[] = {
1220 BYTES_TO_T_UINT_8( 0xDA, 0x33, 0x8C, 0x67, 0xCE, 0x23, 0x43, 0x99 ),
1221 BYTES_TO_T_UINT_8( 0x84, 0x53, 0x47, 0x72, 0x44, 0x1F, 0x5B, 0x2A ),
1222 BYTES_TO_T_UINT_8( 0xAE, 0xC1, 0xD9, 0xA4, 0x50, 0x88, 0x63, 0x18 ),
1223 BYTES_TO_T_UINT_8( 0x7C, 0xF2, 0x75, 0x69, 0x73, 0x00, 0xC4, 0x31 ),
1224 BYTES_TO_T_UINT_8( 0x4B, 0x90, 0x1D, 0xDF, 0x1A, 0x00, 0xD8, 0x69 ),
1225 BYTES_TO_T_UINT_8( 0x05, 0xB1, 0x89, 0x48, 0xA8, 0x70, 0x62, 0xEF ),
1226};
1227static const mbedtls_mpi_uint secp384r1_T_22_X[] = {
1228 BYTES_TO_T_UINT_8( 0x7E, 0x8A, 0x55, 0x50, 0x7B, 0xEF, 0x8A, 0x3C ),
1229 BYTES_TO_T_UINT_8( 0xFE, 0x1B, 0x23, 0x48, 0x23, 0x63, 0x91, 0xB6 ),
1230 BYTES_TO_T_UINT_8( 0x0D, 0x04, 0x54, 0x3C, 0x24, 0x9B, 0xC7, 0x9A ),
1231 BYTES_TO_T_UINT_8( 0x25, 0x38, 0xC3, 0x84, 0xFB, 0xFF, 0x9F, 0x49 ),
1232 BYTES_TO_T_UINT_8( 0x66, 0x2A, 0xE0, 0x6D, 0x68, 0x8A, 0x5C, 0xCB ),
1233 BYTES_TO_T_UINT_8( 0xC4, 0x93, 0x53, 0x85, 0xA1, 0x0D, 0xAF, 0x63 ),
1234};
1235static const mbedtls_mpi_uint secp384r1_T_22_Y[] = {
1236 BYTES_TO_T_UINT_8( 0x1B, 0x88, 0x95, 0x4C, 0x0B, 0xD0, 0x06, 0x51 ),
1237 BYTES_TO_T_UINT_8( 0x92, 0xAF, 0x8D, 0x49, 0xA2, 0xC8, 0xB4, 0xE0 ),
1238 BYTES_TO_T_UINT_8( 0x75, 0x76, 0x53, 0x09, 0x88, 0x43, 0x87, 0xCA ),
1239 BYTES_TO_T_UINT_8( 0x90, 0xA4, 0x77, 0x3F, 0x5E, 0x21, 0xB4, 0x0A ),
1240 BYTES_TO_T_UINT_8( 0x35, 0x9E, 0x86, 0x64, 0xCC, 0x91, 0xC1, 0x77 ),
1241 BYTES_TO_T_UINT_8( 0xC1, 0x17, 0x56, 0xCB, 0xC3, 0x7D, 0x5B, 0xB1 ),
1242};
1243static const mbedtls_mpi_uint secp384r1_T_23_X[] = {
1244 BYTES_TO_T_UINT_8( 0x64, 0x74, 0x9F, 0xB5, 0x91, 0x21, 0xB1, 0x1C ),
1245 BYTES_TO_T_UINT_8( 0x1E, 0xED, 0xE1, 0x11, 0xEF, 0x45, 0xAF, 0xC1 ),
1246 BYTES_TO_T_UINT_8( 0xE0, 0x31, 0xBE, 0xB2, 0xBC, 0x72, 0x65, 0x1F ),
1247 BYTES_TO_T_UINT_8( 0xB1, 0x4B, 0x8C, 0x77, 0xCE, 0x1E, 0x42, 0xB5 ),
1248 BYTES_TO_T_UINT_8( 0xFF, 0xC9, 0xAA, 0xB9, 0xD9, 0x86, 0x99, 0x55 ),
1249 BYTES_TO_T_UINT_8( 0x65, 0x23, 0x80, 0xC6, 0x4E, 0x35, 0x0B, 0x6D ),
1250};
1251static const mbedtls_mpi_uint secp384r1_T_23_Y[] = {
1252 BYTES_TO_T_UINT_8( 0x47, 0xD8, 0xA2, 0x0A, 0x39, 0x32, 0x1D, 0x23 ),
1253 BYTES_TO_T_UINT_8( 0x61, 0xC8, 0x86, 0xF1, 0x12, 0x9A, 0x4A, 0x05 ),
1254 BYTES_TO_T_UINT_8( 0x8D, 0xF1, 0x7C, 0xAA, 0x70, 0x8E, 0xBC, 0x01 ),
1255 BYTES_TO_T_UINT_8( 0x62, 0x01, 0x47, 0x8F, 0xDD, 0x8B, 0xA5, 0xC8 ),
1256 BYTES_TO_T_UINT_8( 0xDB, 0x08, 0x21, 0xF4, 0xAB, 0xC7, 0xF5, 0x96 ),
1257 BYTES_TO_T_UINT_8( 0x0A, 0x76, 0xA5, 0x95, 0xC4, 0x0F, 0x88, 0x1D ),
1258};
1259static const mbedtls_mpi_uint secp384r1_T_24_X[] = {
1260 BYTES_TO_T_UINT_8( 0x3F, 0x42, 0x2A, 0x52, 0xCD, 0x75, 0x51, 0x49 ),
1261 BYTES_TO_T_UINT_8( 0x90, 0x36, 0xE5, 0x04, 0x2B, 0x44, 0xC6, 0xEF ),
1262 BYTES_TO_T_UINT_8( 0x5C, 0xEE, 0x16, 0x13, 0x07, 0x83, 0xB5, 0x30 ),
1263 BYTES_TO_T_UINT_8( 0x76, 0x59, 0xC6, 0xA2, 0x19, 0x05, 0xD3, 0xC6 ),
1264 BYTES_TO_T_UINT_8( 0xB6, 0x8B, 0xA8, 0x16, 0x09, 0xB7, 0xEA, 0xD6 ),
1265 BYTES_TO_T_UINT_8( 0x70, 0xEE, 0x14, 0xAF, 0xB5, 0xFD, 0xD0, 0xEF ),
1266};
1267static const mbedtls_mpi_uint secp384r1_T_24_Y[] = {
1268 BYTES_TO_T_UINT_8( 0x18, 0x7C, 0xCA, 0x71, 0x3E, 0x6E, 0x66, 0x75 ),
1269 BYTES_TO_T_UINT_8( 0xBE, 0x31, 0x0E, 0x3F, 0xE5, 0x91, 0xC4, 0x7F ),
1270 BYTES_TO_T_UINT_8( 0x8E, 0x3D, 0xC2, 0x3E, 0x95, 0x37, 0x58, 0x2B ),
1271 BYTES_TO_T_UINT_8( 0x01, 0x1F, 0x02, 0x03, 0xF3, 0xEF, 0xEE, 0x66 ),
1272 BYTES_TO_T_UINT_8( 0x28, 0x5B, 0x1A, 0xFC, 0x38, 0xCD, 0xE8, 0x24 ),
1273 BYTES_TO_T_UINT_8( 0x12, 0x57, 0x42, 0x85, 0xC6, 0x21, 0x68, 0x71 ),
1274};
1275static const mbedtls_mpi_uint secp384r1_T_25_X[] = {
1276 BYTES_TO_T_UINT_8( 0x8D, 0xA2, 0x4A, 0x66, 0xB1, 0x0A, 0xE6, 0xC0 ),
1277 BYTES_TO_T_UINT_8( 0x86, 0x0C, 0x94, 0x9D, 0x5E, 0x99, 0xB2, 0xCE ),
1278 BYTES_TO_T_UINT_8( 0xAD, 0x03, 0x40, 0xCA, 0xB2, 0xB3, 0x30, 0x55 ),
1279 BYTES_TO_T_UINT_8( 0x74, 0x78, 0x48, 0x27, 0x34, 0x1E, 0xE2, 0x42 ),
1280 BYTES_TO_T_UINT_8( 0xAE, 0x72, 0x5B, 0xAC, 0xC1, 0x6D, 0xE3, 0x82 ),
1281 BYTES_TO_T_UINT_8( 0x57, 0xAB, 0x46, 0xCB, 0xEA, 0x5E, 0x4B, 0x0B ),
1282};
1283static const mbedtls_mpi_uint secp384r1_T_25_Y[] = {
1284 BYTES_TO_T_UINT_8( 0xFC, 0x08, 0xAD, 0x4E, 0x51, 0x9F, 0x2A, 0x52 ),
1285 BYTES_TO_T_UINT_8( 0x68, 0x5C, 0x7D, 0x4C, 0xD6, 0xCF, 0xDD, 0x02 ),
1286 BYTES_TO_T_UINT_8( 0xD8, 0x76, 0x26, 0xE0, 0x8B, 0x10, 0xD9, 0x7C ),
1287 BYTES_TO_T_UINT_8( 0x30, 0xA7, 0x23, 0x4E, 0x5F, 0xD2, 0x42, 0x17 ),
1288 BYTES_TO_T_UINT_8( 0xD1, 0xE5, 0xA4, 0xEC, 0x77, 0x21, 0x34, 0x28 ),
1289 BYTES_TO_T_UINT_8( 0x5C, 0x14, 0x65, 0xEA, 0x4A, 0x85, 0xC3, 0x2F ),
1290};
1291static const mbedtls_mpi_uint secp384r1_T_26_X[] = {
1292 BYTES_TO_T_UINT_8( 0x19, 0xD8, 0x40, 0x27, 0x73, 0x15, 0x7E, 0x65 ),
1293 BYTES_TO_T_UINT_8( 0xF6, 0xBB, 0x53, 0x7E, 0x0F, 0x40, 0xC8, 0xD4 ),
1294 BYTES_TO_T_UINT_8( 0xEA, 0x37, 0x19, 0x73, 0xEF, 0x5A, 0x5E, 0x04 ),
1295 BYTES_TO_T_UINT_8( 0x9C, 0x73, 0x2B, 0x49, 0x7E, 0xAC, 0x97, 0x5C ),
1296 BYTES_TO_T_UINT_8( 0x15, 0xB2, 0xC3, 0x1E, 0x0E, 0xE7, 0xD2, 0x21 ),
1297 BYTES_TO_T_UINT_8( 0x8A, 0x08, 0xD6, 0xDD, 0xAC, 0x21, 0xD6, 0x3E ),
1298};
1299static const mbedtls_mpi_uint secp384r1_T_26_Y[] = {
1300 BYTES_TO_T_UINT_8( 0xA9, 0x26, 0xBE, 0x6D, 0x6D, 0xF2, 0x38, 0x3F ),
1301 BYTES_TO_T_UINT_8( 0x08, 0x6C, 0x31, 0xA7, 0x49, 0x50, 0x3A, 0x89 ),
1302 BYTES_TO_T_UINT_8( 0xC3, 0x99, 0xC6, 0xF5, 0xD2, 0xC2, 0x30, 0x5A ),
1303 BYTES_TO_T_UINT_8( 0x2A, 0xE4, 0xF6, 0x8B, 0x8B, 0x97, 0xE9, 0xB2 ),
1304 BYTES_TO_T_UINT_8( 0xDD, 0x21, 0xB7, 0x0D, 0xFC, 0x15, 0x54, 0x0B ),
1305 BYTES_TO_T_UINT_8( 0x65, 0x83, 0x1C, 0xA4, 0xCD, 0x6B, 0x9D, 0xF2 ),
1306};
1307static const mbedtls_mpi_uint secp384r1_T_27_X[] = {
1308 BYTES_TO_T_UINT_8( 0xD6, 0xE8, 0x4C, 0x48, 0xE4, 0xAA, 0x69, 0x93 ),
1309 BYTES_TO_T_UINT_8( 0x27, 0x7A, 0x27, 0xFC, 0x37, 0x96, 0x1A, 0x7B ),
1310 BYTES_TO_T_UINT_8( 0x6F, 0xE7, 0x30, 0xA5, 0xCF, 0x13, 0x46, 0x5C ),
1311 BYTES_TO_T_UINT_8( 0x8C, 0xD8, 0xAF, 0x74, 0x23, 0x4D, 0x56, 0x84 ),
1312 BYTES_TO_T_UINT_8( 0x32, 0x3D, 0x44, 0x14, 0x1B, 0x97, 0x83, 0xF0 ),
1313 BYTES_TO_T_UINT_8( 0xFA, 0x47, 0xD7, 0x5F, 0xFD, 0x98, 0x38, 0xF7 ),
1314};
1315static const mbedtls_mpi_uint secp384r1_T_27_Y[] = {
1316 BYTES_TO_T_UINT_8( 0xA3, 0x73, 0x64, 0x36, 0xFD, 0x7B, 0xC1, 0x15 ),
1317 BYTES_TO_T_UINT_8( 0xEA, 0x5D, 0x32, 0xD2, 0x47, 0x94, 0x89, 0x2D ),
1318 BYTES_TO_T_UINT_8( 0x51, 0xE9, 0x30, 0xAC, 0x06, 0xC8, 0x65, 0x04 ),
1319 BYTES_TO_T_UINT_8( 0xFA, 0x6C, 0xB9, 0x1B, 0xF7, 0x61, 0x49, 0x53 ),
1320 BYTES_TO_T_UINT_8( 0xD7, 0xFF, 0x32, 0x43, 0x80, 0xDA, 0xA6, 0xB1 ),
1321 BYTES_TO_T_UINT_8( 0xAC, 0xF8, 0x04, 0x01, 0x95, 0x35, 0xCE, 0x21 ),
1322};
1323static const mbedtls_mpi_uint secp384r1_T_28_X[] = {
1324 BYTES_TO_T_UINT_8( 0x6D, 0x06, 0x46, 0x0D, 0x51, 0xE2, 0xD8, 0xAC ),
1325 BYTES_TO_T_UINT_8( 0x14, 0x57, 0x1D, 0x6F, 0x79, 0xA0, 0xCD, 0xA6 ),
1326 BYTES_TO_T_UINT_8( 0xDF, 0xFB, 0x36, 0xCA, 0xAD, 0xF5, 0x9E, 0x41 ),
1327 BYTES_TO_T_UINT_8( 0x6F, 0x7A, 0x1D, 0x9E, 0x1D, 0x95, 0x48, 0xDC ),
1328 BYTES_TO_T_UINT_8( 0x81, 0x26, 0xA5, 0xB7, 0x15, 0x2C, 0xC2, 0xC6 ),
1329 BYTES_TO_T_UINT_8( 0x86, 0x42, 0x72, 0xAA, 0x11, 0xDC, 0xC9, 0xB6 ),
1330};
1331static const mbedtls_mpi_uint secp384r1_T_28_Y[] = {
1332 BYTES_TO_T_UINT_8( 0x3F, 0x6C, 0x64, 0xA7, 0x62, 0x3C, 0xAB, 0xD4 ),
1333 BYTES_TO_T_UINT_8( 0x48, 0x6A, 0x44, 0xD8, 0x60, 0xC0, 0xA8, 0x80 ),
1334 BYTES_TO_T_UINT_8( 0x82, 0x76, 0x58, 0x12, 0x57, 0x3C, 0x89, 0x46 ),
1335 BYTES_TO_T_UINT_8( 0x82, 0x4F, 0x83, 0xCE, 0xCB, 0xB8, 0xD0, 0x2C ),
1336 BYTES_TO_T_UINT_8( 0x9A, 0x84, 0x04, 0xB0, 0xAD, 0xEB, 0xFA, 0xDF ),
1337 BYTES_TO_T_UINT_8( 0x34, 0xA4, 0xC3, 0x41, 0x44, 0x4E, 0x65, 0x3E ),
1338};
1339static const mbedtls_mpi_uint secp384r1_T_29_X[] = {
1340 BYTES_TO_T_UINT_8( 0xB6, 0x16, 0xA9, 0x1C, 0xE7, 0x65, 0x20, 0xC1 ),
1341 BYTES_TO_T_UINT_8( 0x58, 0x53, 0x32, 0xF8, 0xC0, 0xA6, 0xBD, 0x2C ),
1342 BYTES_TO_T_UINT_8( 0xB7, 0xF0, 0xE6, 0x57, 0x31, 0xCC, 0x26, 0x6F ),
1343 BYTES_TO_T_UINT_8( 0x27, 0xE3, 0x54, 0x1C, 0x34, 0xD3, 0x17, 0xBC ),
1344 BYTES_TO_T_UINT_8( 0xF5, 0xAE, 0xED, 0xFB, 0xCD, 0xE7, 0x1E, 0x9F ),
1345 BYTES_TO_T_UINT_8( 0x5A, 0x16, 0x1C, 0x34, 0x40, 0x00, 0x1F, 0xB6 ),
1346};
1347static const mbedtls_mpi_uint secp384r1_T_29_Y[] = {
1348 BYTES_TO_T_UINT_8( 0x6A, 0x32, 0x00, 0xC2, 0xD4, 0x3B, 0x1A, 0x09 ),
1349 BYTES_TO_T_UINT_8( 0x34, 0xE0, 0x99, 0x8F, 0x0C, 0x4A, 0x16, 0x44 ),
1350 BYTES_TO_T_UINT_8( 0x83, 0x73, 0x18, 0x1B, 0xD4, 0x94, 0x29, 0x62 ),
1351 BYTES_TO_T_UINT_8( 0x29, 0xA4, 0x2D, 0xB1, 0x9D, 0x74, 0x32, 0x67 ),
1352 BYTES_TO_T_UINT_8( 0xBF, 0xF4, 0xB1, 0x0C, 0x37, 0x62, 0x8B, 0x66 ),
1353 BYTES_TO_T_UINT_8( 0xC9, 0xFF, 0xDA, 0xE2, 0x35, 0xA3, 0xB6, 0x42 ),
1354};
1355static const mbedtls_mpi_uint secp384r1_T_30_X[] = {
1356 BYTES_TO_T_UINT_8( 0x91, 0x49, 0x99, 0x65, 0xC5, 0xED, 0x16, 0xEF ),
1357 BYTES_TO_T_UINT_8( 0x79, 0x42, 0x9A, 0xF3, 0xA7, 0x4E, 0x6F, 0x2B ),
1358 BYTES_TO_T_UINT_8( 0x7B, 0x0A, 0x7E, 0xC0, 0xD7, 0x4E, 0x07, 0x55 ),
1359 BYTES_TO_T_UINT_8( 0xD6, 0x7A, 0x31, 0x69, 0xA6, 0xB9, 0x15, 0x34 ),
1360 BYTES_TO_T_UINT_8( 0xA8, 0xE0, 0x72, 0xA4, 0x3F, 0xB9, 0xF8, 0x0C ),
1361 BYTES_TO_T_UINT_8( 0x2B, 0x75, 0x32, 0x85, 0xA2, 0xDE, 0x37, 0x12 ),
1362};
1363static const mbedtls_mpi_uint secp384r1_T_30_Y[] = {
1364 BYTES_TO_T_UINT_8( 0xBC, 0xC0, 0x0D, 0xCF, 0x25, 0x41, 0xA4, 0xF4 ),
1365 BYTES_TO_T_UINT_8( 0x9B, 0xFC, 0xB2, 0x48, 0xC3, 0x85, 0x83, 0x4B ),
1366 BYTES_TO_T_UINT_8( 0x2B, 0xBE, 0x0B, 0x58, 0x2D, 0x7A, 0x9A, 0x62 ),
1367 BYTES_TO_T_UINT_8( 0xC5, 0xF3, 0x81, 0x18, 0x1B, 0x74, 0x4F, 0x2C ),
1368 BYTES_TO_T_UINT_8( 0xE2, 0x43, 0xA3, 0x0A, 0x16, 0x8B, 0xA3, 0x1E ),
1369 BYTES_TO_T_UINT_8( 0x4A, 0x18, 0x81, 0x7B, 0x8D, 0xA2, 0x35, 0x77 ),
1370};
1371static const mbedtls_mpi_uint secp384r1_T_31_X[] = {
1372 BYTES_TO_T_UINT_8( 0x86, 0xC4, 0x3F, 0x2C, 0xE7, 0x5F, 0x99, 0x03 ),
1373 BYTES_TO_T_UINT_8( 0xF0, 0x2B, 0xB7, 0xB6, 0xAD, 0x5A, 0x56, 0xFF ),
1374 BYTES_TO_T_UINT_8( 0x04, 0x00, 0xA4, 0x48, 0xC8, 0xE8, 0xBA, 0xBF ),
1375 BYTES_TO_T_UINT_8( 0xE8, 0xA1, 0xB5, 0x13, 0x5A, 0xCD, 0x99, 0x9C ),
1376 BYTES_TO_T_UINT_8( 0xB0, 0x95, 0xAD, 0xFC, 0xE2, 0x7E, 0xE7, 0xFE ),
1377 BYTES_TO_T_UINT_8( 0x96, 0x6B, 0xD1, 0x34, 0x99, 0x53, 0x63, 0x0B ),
1378};
1379static const mbedtls_mpi_uint secp384r1_T_31_Y[] = {
1380 BYTES_TO_T_UINT_8( 0x19, 0x8A, 0x77, 0x5D, 0x2B, 0xAB, 0x01, 0x28 ),
1381 BYTES_TO_T_UINT_8( 0x4E, 0x85, 0xD0, 0xD5, 0x49, 0x83, 0x4D, 0x60 ),
1382 BYTES_TO_T_UINT_8( 0x81, 0xC6, 0x91, 0x30, 0x3B, 0x00, 0xAF, 0x7A ),
1383 BYTES_TO_T_UINT_8( 0x3A, 0xAE, 0x61, 0x07, 0xE1, 0xB6, 0xE2, 0xC9 ),
1384 BYTES_TO_T_UINT_8( 0x95, 0x43, 0x41, 0xFE, 0x9B, 0xB6, 0xF0, 0xA5 ),
1385 BYTES_TO_T_UINT_8( 0xB4, 0x97, 0xAE, 0xAD, 0x89, 0x88, 0x9E, 0x41 ),
1386};
1387static const mbedtls_ecp_point secp384r1_T[32] = {
1388 ECP_POINT_INIT_XY_Z1(secp384r1_T_0_X, secp384r1_T_0_Y),
1389 ECP_POINT_INIT_XY_Z0(secp384r1_T_1_X, secp384r1_T_1_Y),
1390 ECP_POINT_INIT_XY_Z0(secp384r1_T_2_X, secp384r1_T_2_Y),
1391 ECP_POINT_INIT_XY_Z0(secp384r1_T_3_X, secp384r1_T_3_Y),
1392 ECP_POINT_INIT_XY_Z0(secp384r1_T_4_X, secp384r1_T_4_Y),
1393 ECP_POINT_INIT_XY_Z0(secp384r1_T_5_X, secp384r1_T_5_Y),
1394 ECP_POINT_INIT_XY_Z0(secp384r1_T_6_X, secp384r1_T_6_Y),
1395 ECP_POINT_INIT_XY_Z0(secp384r1_T_7_X, secp384r1_T_7_Y),
1396 ECP_POINT_INIT_XY_Z0(secp384r1_T_8_X, secp384r1_T_8_Y),
1397 ECP_POINT_INIT_XY_Z0(secp384r1_T_9_X, secp384r1_T_9_Y),
1398 ECP_POINT_INIT_XY_Z0(secp384r1_T_10_X, secp384r1_T_10_Y),
1399 ECP_POINT_INIT_XY_Z0(secp384r1_T_11_X, secp384r1_T_11_Y),
1400 ECP_POINT_INIT_XY_Z0(secp384r1_T_12_X, secp384r1_T_12_Y),
1401 ECP_POINT_INIT_XY_Z0(secp384r1_T_13_X, secp384r1_T_13_Y),
1402 ECP_POINT_INIT_XY_Z0(secp384r1_T_14_X, secp384r1_T_14_Y),
1403 ECP_POINT_INIT_XY_Z0(secp384r1_T_15_X, secp384r1_T_15_Y),
1404 ECP_POINT_INIT_XY_Z0(secp384r1_T_16_X, secp384r1_T_16_Y),
1405 ECP_POINT_INIT_XY_Z0(secp384r1_T_17_X, secp384r1_T_17_Y),
1406 ECP_POINT_INIT_XY_Z0(secp384r1_T_18_X, secp384r1_T_18_Y),
1407 ECP_POINT_INIT_XY_Z0(secp384r1_T_19_X, secp384r1_T_19_Y),
1408 ECP_POINT_INIT_XY_Z0(secp384r1_T_20_X, secp384r1_T_20_Y),
1409 ECP_POINT_INIT_XY_Z0(secp384r1_T_21_X, secp384r1_T_21_Y),
1410 ECP_POINT_INIT_XY_Z0(secp384r1_T_22_X, secp384r1_T_22_Y),
1411 ECP_POINT_INIT_XY_Z0(secp384r1_T_23_X, secp384r1_T_23_Y),
1412 ECP_POINT_INIT_XY_Z0(secp384r1_T_24_X, secp384r1_T_24_Y),
1413 ECP_POINT_INIT_XY_Z0(secp384r1_T_25_X, secp384r1_T_25_Y),
1414 ECP_POINT_INIT_XY_Z0(secp384r1_T_26_X, secp384r1_T_26_Y),
1415 ECP_POINT_INIT_XY_Z0(secp384r1_T_27_X, secp384r1_T_27_Y),
1416 ECP_POINT_INIT_XY_Z0(secp384r1_T_28_X, secp384r1_T_28_Y),
1417 ECP_POINT_INIT_XY_Z0(secp384r1_T_29_X, secp384r1_T_29_Y),
1418 ECP_POINT_INIT_XY_Z0(secp384r1_T_30_X, secp384r1_T_30_Y),
1419 ECP_POINT_INIT_XY_Z0(secp384r1_T_31_X, secp384r1_T_31_Y),
1420};
1421#else
1422#define secp384r1_T NULL
1423#endif
1424
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02001425#endif /* MBEDTLS_ECP_DP_SECP384R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01001426
1427/*
1428 * Domain parameters for secp521r1
1429 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02001430#if defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED)
1431static const mbedtls_mpi_uint secp521r1_p[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +01001432 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
1433 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
1434 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
1435 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
1436 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
1437 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
1438 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
1439 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
Manuel Pégourié-Gonnard14a96c52013-12-11 12:15:28 +01001440 BYTES_TO_T_UINT_2( 0xFF, 0x01 ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01001441};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02001442static const mbedtls_mpi_uint secp521r1_b[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +01001443 BYTES_TO_T_UINT_8( 0x00, 0x3F, 0x50, 0x6B, 0xD4, 0x1F, 0x45, 0xEF ),
1444 BYTES_TO_T_UINT_8( 0xF1, 0x34, 0x2C, 0x3D, 0x88, 0xDF, 0x73, 0x35 ),
1445 BYTES_TO_T_UINT_8( 0x07, 0xBF, 0xB1, 0x3B, 0xBD, 0xC0, 0x52, 0x16 ),
1446 BYTES_TO_T_UINT_8( 0x7B, 0x93, 0x7E, 0xEC, 0x51, 0x39, 0x19, 0x56 ),
1447 BYTES_TO_T_UINT_8( 0xE1, 0x09, 0xF1, 0x8E, 0x91, 0x89, 0xB4, 0xB8 ),
1448 BYTES_TO_T_UINT_8( 0xF3, 0x15, 0xB3, 0x99, 0x5B, 0x72, 0xDA, 0xA2 ),
1449 BYTES_TO_T_UINT_8( 0xEE, 0x40, 0x85, 0xB6, 0xA0, 0x21, 0x9A, 0x92 ),
1450 BYTES_TO_T_UINT_8( 0x1F, 0x9A, 0x1C, 0x8E, 0x61, 0xB9, 0x3E, 0x95 ),
Manuel Pégourié-Gonnard14a96c52013-12-11 12:15:28 +01001451 BYTES_TO_T_UINT_2( 0x51, 0x00 ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01001452};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02001453static const mbedtls_mpi_uint secp521r1_gx[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +01001454 BYTES_TO_T_UINT_8( 0x66, 0xBD, 0xE5, 0xC2, 0x31, 0x7E, 0x7E, 0xF9 ),
1455 BYTES_TO_T_UINT_8( 0x9B, 0x42, 0x6A, 0x85, 0xC1, 0xB3, 0x48, 0x33 ),
1456 BYTES_TO_T_UINT_8( 0xDE, 0xA8, 0xFF, 0xA2, 0x27, 0xC1, 0x1D, 0xFE ),
1457 BYTES_TO_T_UINT_8( 0x28, 0x59, 0xE7, 0xEF, 0x77, 0x5E, 0x4B, 0xA1 ),
1458 BYTES_TO_T_UINT_8( 0xBA, 0x3D, 0x4D, 0x6B, 0x60, 0xAF, 0x28, 0xF8 ),
1459 BYTES_TO_T_UINT_8( 0x21, 0xB5, 0x3F, 0x05, 0x39, 0x81, 0x64, 0x9C ),
1460 BYTES_TO_T_UINT_8( 0x42, 0xB4, 0x95, 0x23, 0x66, 0xCB, 0x3E, 0x9E ),
1461 BYTES_TO_T_UINT_8( 0xCD, 0xE9, 0x04, 0x04, 0xB7, 0x06, 0x8E, 0x85 ),
Manuel Pégourié-Gonnard14a96c52013-12-11 12:15:28 +01001462 BYTES_TO_T_UINT_2( 0xC6, 0x00 ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01001463};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02001464static const mbedtls_mpi_uint secp521r1_gy[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +01001465 BYTES_TO_T_UINT_8( 0x50, 0x66, 0xD1, 0x9F, 0x76, 0x94, 0xBE, 0x88 ),
1466 BYTES_TO_T_UINT_8( 0x40, 0xC2, 0x72, 0xA2, 0x86, 0x70, 0x3C, 0x35 ),
1467 BYTES_TO_T_UINT_8( 0x61, 0x07, 0xAD, 0x3F, 0x01, 0xB9, 0x50, 0xC5 ),
1468 BYTES_TO_T_UINT_8( 0x40, 0x26, 0xF4, 0x5E, 0x99, 0x72, 0xEE, 0x97 ),
1469 BYTES_TO_T_UINT_8( 0x2C, 0x66, 0x3E, 0x27, 0x17, 0xBD, 0xAF, 0x17 ),
1470 BYTES_TO_T_UINT_8( 0x68, 0x44, 0x9B, 0x57, 0x49, 0x44, 0xF5, 0x98 ),
1471 BYTES_TO_T_UINT_8( 0xD9, 0x1B, 0x7D, 0x2C, 0xB4, 0x5F, 0x8A, 0x5C ),
1472 BYTES_TO_T_UINT_8( 0x04, 0xC0, 0x3B, 0x9A, 0x78, 0x6A, 0x29, 0x39 ),
Manuel Pégourié-Gonnard14a96c52013-12-11 12:15:28 +01001473 BYTES_TO_T_UINT_2( 0x18, 0x01 ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01001474};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02001475static const mbedtls_mpi_uint secp521r1_n[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +01001476 BYTES_TO_T_UINT_8( 0x09, 0x64, 0x38, 0x91, 0x1E, 0xB7, 0x6F, 0xBB ),
1477 BYTES_TO_T_UINT_8( 0xAE, 0x47, 0x9C, 0x89, 0xB8, 0xC9, 0xB5, 0x3B ),
1478 BYTES_TO_T_UINT_8( 0xD0, 0xA5, 0x09, 0xF7, 0x48, 0x01, 0xCC, 0x7F ),
1479 BYTES_TO_T_UINT_8( 0x6B, 0x96, 0x2F, 0xBF, 0x83, 0x87, 0x86, 0x51 ),
1480 BYTES_TO_T_UINT_8( 0xFA, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
1481 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
1482 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
1483 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
Manuel Pégourié-Gonnard14a96c52013-12-11 12:15:28 +01001484 BYTES_TO_T_UINT_2( 0xFF, 0x01 ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01001485};
kXuanba9cb762021-04-08 14:32:06 +08001486#if MBEDTLS_ECP_FIXED_POINT_OPTIM == 1
1487static const mbedtls_mpi_uint secp521r1_T_0_X[] = {
1488 BYTES_TO_T_UINT_8( 0x66, 0xBD, 0xE5, 0xC2, 0x31, 0x7E, 0x7E, 0xF9 ),
1489 BYTES_TO_T_UINT_8( 0x9B, 0x42, 0x6A, 0x85, 0xC1, 0xB3, 0x48, 0x33 ),
1490 BYTES_TO_T_UINT_8( 0xDE, 0xA8, 0xFF, 0xA2, 0x27, 0xC1, 0x1D, 0xFE ),
1491 BYTES_TO_T_UINT_8( 0x28, 0x59, 0xE7, 0xEF, 0x77, 0x5E, 0x4B, 0xA1 ),
1492 BYTES_TO_T_UINT_8( 0xBA, 0x3D, 0x4D, 0x6B, 0x60, 0xAF, 0x28, 0xF8 ),
1493 BYTES_TO_T_UINT_8( 0x21, 0xB5, 0x3F, 0x05, 0x39, 0x81, 0x64, 0x9C ),
1494 BYTES_TO_T_UINT_8( 0x42, 0xB4, 0x95, 0x23, 0x66, 0xCB, 0x3E, 0x9E ),
1495 BYTES_TO_T_UINT_8( 0xCD, 0xE9, 0x04, 0x04, 0xB7, 0x06, 0x8E, 0x85 ),
1496 BYTES_TO_T_UINT_8( 0xC6, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1497};
1498static const mbedtls_mpi_uint secp521r1_T_0_Y[] = {
1499 BYTES_TO_T_UINT_8( 0x50, 0x66, 0xD1, 0x9F, 0x76, 0x94, 0xBE, 0x88 ),
1500 BYTES_TO_T_UINT_8( 0x40, 0xC2, 0x72, 0xA2, 0x86, 0x70, 0x3C, 0x35 ),
1501 BYTES_TO_T_UINT_8( 0x61, 0x07, 0xAD, 0x3F, 0x01, 0xB9, 0x50, 0xC5 ),
1502 BYTES_TO_T_UINT_8( 0x40, 0x26, 0xF4, 0x5E, 0x99, 0x72, 0xEE, 0x97 ),
1503 BYTES_TO_T_UINT_8( 0x2C, 0x66, 0x3E, 0x27, 0x17, 0xBD, 0xAF, 0x17 ),
1504 BYTES_TO_T_UINT_8( 0x68, 0x44, 0x9B, 0x57, 0x49, 0x44, 0xF5, 0x98 ),
1505 BYTES_TO_T_UINT_8( 0xD9, 0x1B, 0x7D, 0x2C, 0xB4, 0x5F, 0x8A, 0x5C ),
1506 BYTES_TO_T_UINT_8( 0x04, 0xC0, 0x3B, 0x9A, 0x78, 0x6A, 0x29, 0x39 ),
1507 BYTES_TO_T_UINT_8( 0x18, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1508};
1509static const mbedtls_mpi_uint secp521r1_T_1_X[] = {
1510 BYTES_TO_T_UINT_8( 0x2F, 0xB1, 0x2D, 0xEB, 0x27, 0x2F, 0xE8, 0xDA ),
1511 BYTES_TO_T_UINT_8( 0x98, 0x4B, 0x44, 0x25, 0xDB, 0x5C, 0x5F, 0x67 ),
1512 BYTES_TO_T_UINT_8( 0x13, 0x85, 0x28, 0x78, 0x2E, 0x75, 0x34, 0x32 ),
1513 BYTES_TO_T_UINT_8( 0x69, 0x57, 0x0F, 0x73, 0x78, 0x7A, 0xE3, 0x53 ),
1514 BYTES_TO_T_UINT_8( 0x8D, 0xD8, 0xEC, 0xDC, 0xDA, 0x04, 0xAD, 0xAB ),
1515 BYTES_TO_T_UINT_8( 0x34, 0x8A, 0x09, 0xF3, 0x58, 0x79, 0xD8, 0x29 ),
1516 BYTES_TO_T_UINT_8( 0x63, 0x03, 0xCB, 0x50, 0x1A, 0x7F, 0x56, 0x00 ),
1517 BYTES_TO_T_UINT_8( 0xF6, 0xA6, 0x78, 0x38, 0x85, 0x67, 0x0B, 0x40 ),
1518 BYTES_TO_T_UINT_8( 0x83, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1519};
1520static const mbedtls_mpi_uint secp521r1_T_1_Y[] = {
1521 BYTES_TO_T_UINT_8( 0x8A, 0xD5, 0xD2, 0x22, 0xC4, 0x00, 0x3B, 0xBA ),
1522 BYTES_TO_T_UINT_8( 0xD5, 0x93, 0x0E, 0x7B, 0x85, 0x51, 0xC3, 0x06 ),
1523 BYTES_TO_T_UINT_8( 0x3D, 0xA6, 0x5F, 0x54, 0x49, 0x02, 0x81, 0x78 ),
1524 BYTES_TO_T_UINT_8( 0x22, 0xE9, 0x6B, 0x3A, 0x92, 0xE7, 0x72, 0x1D ),
1525 BYTES_TO_T_UINT_8( 0x6F, 0x5F, 0x28, 0x9E, 0x91, 0x27, 0x88, 0xE3 ),
1526 BYTES_TO_T_UINT_8( 0xEF, 0x28, 0x31, 0xB3, 0x84, 0xCA, 0x12, 0x32 ),
1527 BYTES_TO_T_UINT_8( 0x3D, 0xF9, 0xAC, 0x22, 0x10, 0x0A, 0x64, 0x41 ),
1528 BYTES_TO_T_UINT_8( 0xE9, 0xC6, 0x33, 0x1F, 0x69, 0x19, 0x18, 0xBF ),
1529 BYTES_TO_T_UINT_8( 0xBE, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1530};
1531static const mbedtls_mpi_uint secp521r1_T_2_X[] = {
1532 BYTES_TO_T_UINT_8( 0xA0, 0x48, 0xB8, 0xC7, 0x37, 0x5A, 0x00, 0x36 ),
1533 BYTES_TO_T_UINT_8( 0x07, 0xCC, 0x32, 0xE0, 0xEE, 0x03, 0xC2, 0xBA ),
1534 BYTES_TO_T_UINT_8( 0xC4, 0x29, 0xC2, 0xE4, 0x6E, 0x24, 0x20, 0x8D ),
1535 BYTES_TO_T_UINT_8( 0x06, 0x6B, 0x7F, 0x7B, 0xF9, 0xB0, 0xB8, 0x13 ),
1536 BYTES_TO_T_UINT_8( 0x1D, 0x7B, 0x3C, 0xE1, 0x19, 0xA1, 0x23, 0x02 ),
1537 BYTES_TO_T_UINT_8( 0x2A, 0xE3, 0xC2, 0x53, 0xC0, 0x07, 0x13, 0xA9 ),
1538 BYTES_TO_T_UINT_8( 0x07, 0xFE, 0x36, 0x35, 0x9F, 0x5E, 0x59, 0xCE ),
1539 BYTES_TO_T_UINT_8( 0x1D, 0x55, 0x89, 0x84, 0xBC, 0xEF, 0xA2, 0xC2 ),
1540 BYTES_TO_T_UINT_8( 0x19, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1541};
1542static const mbedtls_mpi_uint secp521r1_T_2_Y[] = {
1543 BYTES_TO_T_UINT_8( 0xFD, 0x1A, 0x08, 0x67, 0xB4, 0xE7, 0x22, 0xED ),
1544 BYTES_TO_T_UINT_8( 0x76, 0x26, 0xDF, 0x81, 0x3C, 0x5F, 0x1C, 0xDA ),
1545 BYTES_TO_T_UINT_8( 0xE0, 0x4D, 0xD0, 0x0A, 0x48, 0x06, 0xF4, 0x48 ),
1546 BYTES_TO_T_UINT_8( 0x73, 0x18, 0x39, 0xF7, 0xD1, 0x20, 0x77, 0x8D ),
1547 BYTES_TO_T_UINT_8( 0x78, 0x8F, 0x44, 0x13, 0xCB, 0x78, 0x11, 0x11 ),
1548 BYTES_TO_T_UINT_8( 0x33, 0xE2, 0x49, 0xEA, 0x43, 0x79, 0x08, 0x39 ),
1549 BYTES_TO_T_UINT_8( 0x01, 0xD1, 0xD8, 0x73, 0x2C, 0x71, 0x2F, 0x69 ),
1550 BYTES_TO_T_UINT_8( 0x21, 0xE5, 0xE7, 0xF4, 0x46, 0xAB, 0x20, 0xCA ),
1551 BYTES_TO_T_UINT_8( 0x5A, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1552};
1553static const mbedtls_mpi_uint secp521r1_T_3_X[] = {
1554 BYTES_TO_T_UINT_8( 0x8C, 0x0B, 0xB9, 0x71, 0x1A, 0x27, 0xB7, 0xA7 ),
1555 BYTES_TO_T_UINT_8( 0x2A, 0xA2, 0x2C, 0xD1, 0xDA, 0xBC, 0xC1, 0xBD ),
1556 BYTES_TO_T_UINT_8( 0x10, 0xA3, 0x10, 0x1F, 0x90, 0xF2, 0xA5, 0x52 ),
1557 BYTES_TO_T_UINT_8( 0x28, 0xFB, 0x20, 0xF4, 0xC0, 0x70, 0xC0, 0xF5 ),
1558 BYTES_TO_T_UINT_8( 0x8F, 0xA7, 0x99, 0xF0, 0xA5, 0xD3, 0x09, 0xDD ),
1559 BYTES_TO_T_UINT_8( 0x26, 0xE8, 0x14, 0x39, 0xBE, 0xCB, 0x60, 0xAF ),
1560 BYTES_TO_T_UINT_8( 0x9F, 0xD6, 0x14, 0xA9, 0xC9, 0x20, 0xC3, 0xEA ),
1561 BYTES_TO_T_UINT_8( 0x5D, 0xA8, 0x5B, 0xFD, 0x2D, 0x96, 0xBC, 0x78 ),
1562 BYTES_TO_T_UINT_8( 0xC0, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1563};
1564static const mbedtls_mpi_uint secp521r1_T_3_Y[] = {
1565 BYTES_TO_T_UINT_8( 0x9D, 0x04, 0x45, 0xBE, 0xCE, 0x75, 0x95, 0xF6 ),
1566 BYTES_TO_T_UINT_8( 0xCC, 0xDA, 0x58, 0x49, 0x35, 0x09, 0x8D, 0x41 ),
1567 BYTES_TO_T_UINT_8( 0x76, 0xF0, 0xC0, 0x36, 0xF2, 0xA6, 0x2D, 0x14 ),
1568 BYTES_TO_T_UINT_8( 0xE7, 0xFC, 0x3D, 0xA8, 0xFB, 0x3C, 0xD2, 0x51 ),
1569 BYTES_TO_T_UINT_8( 0x01, 0x4D, 0x71, 0x09, 0x18, 0x42, 0xF0, 0x2D ),
1570 BYTES_TO_T_UINT_8( 0x8D, 0xC1, 0xCE, 0x9E, 0x6A, 0x49, 0x60, 0x12 ),
1571 BYTES_TO_T_UINT_8( 0xAD, 0xB1, 0x00, 0xF7, 0xA1, 0x7A, 0x31, 0xB4 ),
1572 BYTES_TO_T_UINT_8( 0x41, 0xC3, 0x86, 0xCD, 0x20, 0x4A, 0x17, 0x86 ),
1573 BYTES_TO_T_UINT_8( 0x6C, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1574};
1575static const mbedtls_mpi_uint secp521r1_T_4_X[] = {
1576 BYTES_TO_T_UINT_8( 0x98, 0xAB, 0x8B, 0x47, 0x8D, 0xAA, 0xA6, 0x5B ),
1577 BYTES_TO_T_UINT_8( 0xC4, 0x97, 0xF0, 0xBC, 0x2D, 0xDC, 0x9D, 0x84 ),
1578 BYTES_TO_T_UINT_8( 0x01, 0x86, 0xB0, 0x74, 0xB2, 0xF4, 0xF6, 0x67 ),
1579 BYTES_TO_T_UINT_8( 0xAC, 0xBD, 0xAC, 0xE3, 0x8F, 0x43, 0x5C, 0xB1 ),
1580 BYTES_TO_T_UINT_8( 0x37, 0xC3, 0xE2, 0x6E, 0x25, 0x49, 0xCD, 0x0B ),
1581 BYTES_TO_T_UINT_8( 0x64, 0x5E, 0x08, 0xB3, 0xB9, 0xAC, 0x5F, 0xD1 ),
1582 BYTES_TO_T_UINT_8( 0x08, 0xB7, 0xD1, 0xF4, 0xDC, 0x19, 0xE9, 0xC8 ),
1583 BYTES_TO_T_UINT_8( 0x49, 0xE4, 0xFA, 0xE1, 0x36, 0x3E, 0xED, 0x6E ),
1584 BYTES_TO_T_UINT_8( 0x0A, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1585};
1586static const mbedtls_mpi_uint secp521r1_T_4_Y[] = {
1587 BYTES_TO_T_UINT_8( 0x00, 0x67, 0x92, 0x84, 0x6E, 0x48, 0x03, 0x51 ),
1588 BYTES_TO_T_UINT_8( 0x9E, 0x95, 0xEF, 0x8F, 0xB2, 0x82, 0x6B, 0x1C ),
1589 BYTES_TO_T_UINT_8( 0x8D, 0xFA, 0xB9, 0x55, 0x23, 0xFE, 0x09, 0xB3 ),
1590 BYTES_TO_T_UINT_8( 0xEF, 0x79, 0x85, 0x4B, 0x0E, 0xD4, 0x35, 0xDB ),
1591 BYTES_TO_T_UINT_8( 0x9A, 0x27, 0x45, 0x81, 0xE0, 0x88, 0x52, 0xAD ),
1592 BYTES_TO_T_UINT_8( 0x17, 0x63, 0xA2, 0x4B, 0xBC, 0x5D, 0xB1, 0x92 ),
1593 BYTES_TO_T_UINT_8( 0x28, 0x8C, 0x83, 0xD9, 0x3E, 0xD3, 0x42, 0xDA ),
1594 BYTES_TO_T_UINT_8( 0x99, 0x03, 0x3A, 0x31, 0xBA, 0xE9, 0x3A, 0xD1 ),
1595 BYTES_TO_T_UINT_8( 0x47, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1596};
1597static const mbedtls_mpi_uint secp521r1_T_5_X[] = {
1598 BYTES_TO_T_UINT_8( 0x35, 0x10, 0xCD, 0x2D, 0x00, 0xFE, 0x32, 0xA7 ),
1599 BYTES_TO_T_UINT_8( 0xE4, 0x6E, 0x1F, 0xDA, 0xF8, 0x6F, 0x4D, 0x03 ),
1600 BYTES_TO_T_UINT_8( 0x09, 0x79, 0x7D, 0x09, 0xE5, 0xD3, 0x03, 0x21 ),
1601 BYTES_TO_T_UINT_8( 0x58, 0xC3, 0xBE, 0xDF, 0x07, 0x65, 0x49, 0xCC ),
1602 BYTES_TO_T_UINT_8( 0x08, 0x57, 0x33, 0xEF, 0xAE, 0x4F, 0x04, 0x27 ),
1603 BYTES_TO_T_UINT_8( 0x9A, 0xE9, 0x9B, 0xFE, 0xBF, 0xE6, 0x85, 0xF6 ),
1604 BYTES_TO_T_UINT_8( 0xBD, 0xBA, 0xAA, 0x06, 0xC4, 0xC6, 0xB8, 0x57 ),
1605 BYTES_TO_T_UINT_8( 0x0C, 0x83, 0x01, 0xA9, 0xF6, 0x51, 0xE7, 0xB8 ),
1606 BYTES_TO_T_UINT_8( 0x1B, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1607};
1608static const mbedtls_mpi_uint secp521r1_T_5_Y[] = {
1609 BYTES_TO_T_UINT_8( 0xB9, 0xA6, 0x15, 0x8E, 0xAB, 0x1F, 0x10, 0x87 ),
1610 BYTES_TO_T_UINT_8( 0x74, 0x08, 0x27, 0x1A, 0xA1, 0x21, 0xAD, 0xF5 ),
1611 BYTES_TO_T_UINT_8( 0x02, 0x09, 0x90, 0x6E, 0x50, 0x90, 0x9A, 0x5D ),
1612 BYTES_TO_T_UINT_8( 0x86, 0x9A, 0xFE, 0xD7, 0xA1, 0xF5, 0xA2, 0x15 ),
1613 BYTES_TO_T_UINT_8( 0xE8, 0x7D, 0xE3, 0xDC, 0x21, 0xFB, 0xA4, 0x7B ),
1614 BYTES_TO_T_UINT_8( 0xB9, 0xBF, 0x07, 0xFF, 0x45, 0xDF, 0x51, 0x77 ),
1615 BYTES_TO_T_UINT_8( 0x0B, 0x5C, 0x34, 0x02, 0x62, 0x9B, 0x08, 0x12 ),
1616 BYTES_TO_T_UINT_8( 0x86, 0xCE, 0x9A, 0x6A, 0xEC, 0x75, 0xF6, 0x46 ),
1617 BYTES_TO_T_UINT_8( 0x6D, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1618};
1619static const mbedtls_mpi_uint secp521r1_T_6_X[] = {
1620 BYTES_TO_T_UINT_8( 0xE6, 0x59, 0xF4, 0x78, 0x3C, 0x60, 0xB1, 0x4A ),
1621 BYTES_TO_T_UINT_8( 0x3E, 0x37, 0x84, 0x6A, 0xDC, 0xF2, 0x9A, 0x7D ),
1622 BYTES_TO_T_UINT_8( 0x40, 0x9A, 0x9A, 0x15, 0x36, 0xE0, 0x2B, 0x2D ),
1623 BYTES_TO_T_UINT_8( 0xEC, 0x38, 0x9C, 0x50, 0x3D, 0x1E, 0x37, 0x82 ),
1624 BYTES_TO_T_UINT_8( 0xB7, 0x79, 0xF0, 0x92, 0xF2, 0x8B, 0x18, 0x82 ),
1625 BYTES_TO_T_UINT_8( 0x17, 0xE0, 0x82, 0x1E, 0x80, 0x82, 0x4B, 0xD7 ),
1626 BYTES_TO_T_UINT_8( 0xFA, 0xBB, 0x59, 0x6B, 0x8A, 0x77, 0x41, 0x40 ),
1627 BYTES_TO_T_UINT_8( 0xA7, 0xF9, 0xD4, 0xB8, 0x4A, 0x82, 0xCF, 0x40 ),
1628 BYTES_TO_T_UINT_8( 0x5D, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1629};
1630static const mbedtls_mpi_uint secp521r1_T_6_Y[] = {
1631 BYTES_TO_T_UINT_8( 0x1E, 0x8C, 0xC8, 0x9B, 0x72, 0x9E, 0xF7, 0xF9 ),
1632 BYTES_TO_T_UINT_8( 0xB8, 0xCE, 0xE9, 0x77, 0x0A, 0x19, 0x59, 0x84 ),
1633 BYTES_TO_T_UINT_8( 0x9D, 0xA1, 0x41, 0x6A, 0x72, 0x4B, 0xB4, 0xDC ),
1634 BYTES_TO_T_UINT_8( 0x0B, 0x35, 0x43, 0xE2, 0x8C, 0xBE, 0x0D, 0xE3 ),
1635 BYTES_TO_T_UINT_8( 0xC1, 0xEB, 0xAD, 0xF3, 0xA9, 0xA6, 0x68, 0xA1 ),
1636 BYTES_TO_T_UINT_8( 0x81, 0x2F, 0xE2, 0x48, 0x0C, 0xDB, 0x1F, 0x42 ),
1637 BYTES_TO_T_UINT_8( 0xD1, 0x1E, 0x60, 0x9B, 0x2A, 0xD2, 0xC1, 0x3C ),
1638 BYTES_TO_T_UINT_8( 0xC0, 0x64, 0xB5, 0xD2, 0xF6, 0xF6, 0x6E, 0x22 ),
1639 BYTES_TO_T_UINT_8( 0x70, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1640};
1641static const mbedtls_mpi_uint secp521r1_T_7_X[] = {
1642 BYTES_TO_T_UINT_8( 0xC6, 0x3D, 0x30, 0x78, 0x10, 0x18, 0x41, 0x51 ),
1643 BYTES_TO_T_UINT_8( 0x96, 0x1D, 0x1C, 0xE0, 0x6D, 0x83, 0xD1, 0x93 ),
1644 BYTES_TO_T_UINT_8( 0x7B, 0x03, 0x0B, 0xF5, 0x2F, 0x6C, 0x04, 0x98 ),
1645 BYTES_TO_T_UINT_8( 0x6C, 0x3E, 0xD5, 0xFC, 0x31, 0x5B, 0x3A, 0xEB ),
1646 BYTES_TO_T_UINT_8( 0x50, 0x82, 0x2F, 0xFB, 0xFE, 0xF8, 0x76, 0x39 ),
1647 BYTES_TO_T_UINT_8( 0x85, 0x26, 0xDA, 0x9C, 0x36, 0xF5, 0x93, 0xD1 ),
1648 BYTES_TO_T_UINT_8( 0x4C, 0xE7, 0x6E, 0xD2, 0x7D, 0x81, 0x09, 0xC6 ),
1649 BYTES_TO_T_UINT_8( 0xD3, 0x03, 0xF9, 0x58, 0x48, 0x24, 0xA2, 0xEE ),
1650 BYTES_TO_T_UINT_8( 0xE9, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1651};
1652static const mbedtls_mpi_uint secp521r1_T_7_Y[] = {
1653 BYTES_TO_T_UINT_8( 0x1B, 0x79, 0x0C, 0x8E, 0x6B, 0x95, 0xF3, 0xC4 ),
1654 BYTES_TO_T_UINT_8( 0xF4, 0x10, 0x5C, 0x87, 0x03, 0x39, 0xCF, 0x68 ),
1655 BYTES_TO_T_UINT_8( 0xAD, 0xF0, 0xF7, 0xC1, 0x07, 0xA4, 0xF4, 0x3F ),
1656 BYTES_TO_T_UINT_8( 0x32, 0xE8, 0x02, 0x89, 0x65, 0xC4, 0x72, 0x36 ),
1657 BYTES_TO_T_UINT_8( 0xB4, 0x88, 0xEA, 0x96, 0x67, 0x0B, 0x5D, 0xDF ),
1658 BYTES_TO_T_UINT_8( 0xA8, 0x75, 0x60, 0xA8, 0xBD, 0x74, 0xDF, 0x68 ),
1659 BYTES_TO_T_UINT_8( 0x6E, 0xE5, 0x71, 0x50, 0x67, 0xD0, 0xD2, 0xE6 ),
1660 BYTES_TO_T_UINT_8( 0xD5, 0xFC, 0xE5, 0xC7, 0x77, 0xB0, 0x7F, 0x8C ),
1661 BYTES_TO_T_UINT_8( 0xF1, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1662};
1663static const mbedtls_mpi_uint secp521r1_T_8_X[] = {
1664 BYTES_TO_T_UINT_8( 0x97, 0x86, 0x69, 0xCD, 0x0D, 0x9A, 0xBD, 0x66 ),
1665 BYTES_TO_T_UINT_8( 0x58, 0x17, 0xBC, 0xBB, 0x59, 0x85, 0x7D, 0x0E ),
1666 BYTES_TO_T_UINT_8( 0x8D, 0xA8, 0x76, 0xAC, 0x80, 0xA9, 0x72, 0xE0 ),
1667 BYTES_TO_T_UINT_8( 0x74, 0x78, 0xC1, 0xE2, 0x4D, 0xAF, 0xF9, 0x3C ),
1668 BYTES_TO_T_UINT_8( 0xAD, 0x97, 0x8E, 0x74, 0xC4, 0x4B, 0xB2, 0x85 ),
1669 BYTES_TO_T_UINT_8( 0xEA, 0xD8, 0xF6, 0xF3, 0xAF, 0x2F, 0x52, 0xE5 ),
1670 BYTES_TO_T_UINT_8( 0x95, 0x57, 0xF4, 0xCE, 0xEE, 0x43, 0xED, 0x60 ),
1671 BYTES_TO_T_UINT_8( 0x7D, 0x46, 0x38, 0xDE, 0x20, 0xFD, 0x59, 0x18 ),
1672 BYTES_TO_T_UINT_8( 0xD7, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1673};
1674static const mbedtls_mpi_uint secp521r1_T_8_Y[] = {
1675 BYTES_TO_T_UINT_8( 0x1C, 0x18, 0xE8, 0x58, 0xB9, 0x76, 0x2C, 0xE6 ),
1676 BYTES_TO_T_UINT_8( 0xED, 0x54, 0xE4, 0xFE, 0xC7, 0xBC, 0x31, 0x37 ),
1677 BYTES_TO_T_UINT_8( 0xF5, 0xF8, 0x89, 0xEE, 0x70, 0xB5, 0xB0, 0x2C ),
1678 BYTES_TO_T_UINT_8( 0x83, 0x22, 0x26, 0x9A, 0x53, 0xB9, 0x38, 0x0A ),
1679 BYTES_TO_T_UINT_8( 0x74, 0xA7, 0x19, 0x8C, 0x74, 0x7E, 0x88, 0x46 ),
1680 BYTES_TO_T_UINT_8( 0xB4, 0xDA, 0x0A, 0xE8, 0xDA, 0xA5, 0xBE, 0x1D ),
1681 BYTES_TO_T_UINT_8( 0x90, 0x5C, 0xF7, 0xB1, 0x0C, 0x72, 0xFB, 0x09 ),
1682 BYTES_TO_T_UINT_8( 0x78, 0xE2, 0x23, 0xE7, 0x46, 0xB7, 0xE0, 0x91 ),
1683 BYTES_TO_T_UINT_8( 0xC5, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1684};
1685static const mbedtls_mpi_uint secp521r1_T_9_X[] = {
1686 BYTES_TO_T_UINT_8( 0x3A, 0x36, 0xBC, 0xBD, 0x48, 0x11, 0x8E, 0x72 ),
1687 BYTES_TO_T_UINT_8( 0xAB, 0xBB, 0xA1, 0xF7, 0x0B, 0x9E, 0xBF, 0xDF ),
1688 BYTES_TO_T_UINT_8( 0x68, 0x28, 0xE1, 0xA2, 0x8F, 0xFC, 0xFC, 0xD6 ),
1689 BYTES_TO_T_UINT_8( 0x81, 0xFE, 0x19, 0x0A, 0xE5, 0xE7, 0x69, 0x39 ),
1690 BYTES_TO_T_UINT_8( 0x5E, 0xCD, 0x12, 0xF5, 0xBE, 0xD3, 0x04, 0xF1 ),
1691 BYTES_TO_T_UINT_8( 0xF5, 0xA8, 0x0D, 0x81, 0x59, 0xC4, 0x79, 0x98 ),
1692 BYTES_TO_T_UINT_8( 0xA3, 0xF3, 0x4B, 0x92, 0x65, 0xC3, 0x31, 0xAD ),
1693 BYTES_TO_T_UINT_8( 0x75, 0xB5, 0x4F, 0x4D, 0x91, 0xD4, 0xE2, 0xB2 ),
1694 BYTES_TO_T_UINT_8( 0x51, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1695};
1696static const mbedtls_mpi_uint secp521r1_T_9_Y[] = {
1697 BYTES_TO_T_UINT_8( 0x72, 0x09, 0x41, 0x79, 0x1D, 0x4D, 0x0D, 0x33 ),
1698 BYTES_TO_T_UINT_8( 0xBB, 0x31, 0x18, 0xBA, 0xA0, 0xF2, 0x6E, 0x7E ),
1699 BYTES_TO_T_UINT_8( 0x93, 0x5B, 0x4D, 0x4F, 0xAF, 0xC9, 0x8C, 0xA1 ),
1700 BYTES_TO_T_UINT_8( 0x48, 0x99, 0x9C, 0x06, 0x68, 0xDE, 0xD8, 0x29 ),
1701 BYTES_TO_T_UINT_8( 0xA0, 0x04, 0xE1, 0xB5, 0x9D, 0x00, 0xBC, 0xB8 ),
1702 BYTES_TO_T_UINT_8( 0x61, 0x95, 0x92, 0x8D, 0x72, 0xD3, 0x37, 0x42 ),
1703 BYTES_TO_T_UINT_8( 0xAB, 0x4B, 0x27, 0xA2, 0xE8, 0xA4, 0x26, 0xA1 ),
1704 BYTES_TO_T_UINT_8( 0x4F, 0x45, 0x9C, 0xA9, 0xCB, 0x9F, 0xBA, 0x85 ),
1705 BYTES_TO_T_UINT_8( 0xCB, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1706};
1707static const mbedtls_mpi_uint secp521r1_T_10_X[] = {
1708 BYTES_TO_T_UINT_8( 0x08, 0x7E, 0x1B, 0x64, 0xF4, 0xE8, 0xA5, 0x55 ),
1709 BYTES_TO_T_UINT_8( 0xF7, 0x20, 0xA9, 0xCA, 0xF3, 0x89, 0xE5, 0xE1 ),
1710 BYTES_TO_T_UINT_8( 0x83, 0xED, 0xFC, 0xAB, 0xD9, 0x0A, 0xB9, 0x07 ),
1711 BYTES_TO_T_UINT_8( 0x08, 0x6F, 0x46, 0x7C, 0xCD, 0x78, 0xFF, 0x05 ),
1712 BYTES_TO_T_UINT_8( 0x69, 0xAB, 0x71, 0x5A, 0x94, 0xAB, 0x20, 0x20 ),
1713 BYTES_TO_T_UINT_8( 0xC2, 0x2E, 0xEE, 0x87, 0x57, 0x1F, 0xAD, 0xD3 ),
1714 BYTES_TO_T_UINT_8( 0x91, 0x4C, 0x3D, 0xFB, 0x7E, 0xA1, 0x8B, 0x07 ),
1715 BYTES_TO_T_UINT_8( 0x69, 0xCF, 0x07, 0x86, 0xBA, 0x53, 0x37, 0xCF ),
1716 BYTES_TO_T_UINT_8( 0x38, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1717};
1718static const mbedtls_mpi_uint secp521r1_T_10_Y[] = {
1719 BYTES_TO_T_UINT_8( 0x00, 0x26, 0xB2, 0xB9, 0xE2, 0x91, 0xE3, 0xB5 ),
1720 BYTES_TO_T_UINT_8( 0x79, 0xC9, 0x54, 0x84, 0x08, 0x3D, 0x0B, 0xD2 ),
1721 BYTES_TO_T_UINT_8( 0x5D, 0xA8, 0x77, 0x2F, 0x64, 0x45, 0x99, 0x4C ),
1722 BYTES_TO_T_UINT_8( 0x87, 0x96, 0x16, 0x1F, 0xDB, 0x96, 0x28, 0x97 ),
1723 BYTES_TO_T_UINT_8( 0x83, 0x2B, 0x8D, 0xFF, 0xA2, 0x4F, 0x55, 0xD3 ),
1724 BYTES_TO_T_UINT_8( 0x71, 0xE6, 0x48, 0xBD, 0x99, 0x3D, 0x12, 0x57 ),
1725 BYTES_TO_T_UINT_8( 0x3F, 0x84, 0x59, 0xDA, 0xB9, 0xB6, 0x66, 0x12 ),
1726 BYTES_TO_T_UINT_8( 0x6D, 0x78, 0x41, 0x92, 0xDF, 0xF4, 0x3F, 0x63 ),
1727 BYTES_TO_T_UINT_8( 0x1F, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1728};
1729static const mbedtls_mpi_uint secp521r1_T_11_X[] = {
1730 BYTES_TO_T_UINT_8( 0x7E, 0x86, 0x6F, 0x4F, 0xBF, 0x67, 0xDF, 0x2F ),
1731 BYTES_TO_T_UINT_8( 0xF2, 0x2B, 0x1E, 0x5F, 0x00, 0xEA, 0xF6, 0x56 ),
1732 BYTES_TO_T_UINT_8( 0x90, 0xB9, 0x6A, 0x89, 0xD8, 0xC0, 0xD7, 0xA7 ),
1733 BYTES_TO_T_UINT_8( 0xCB, 0x9A, 0x32, 0x23, 0xA0, 0x02, 0x91, 0x58 ),
1734 BYTES_TO_T_UINT_8( 0x42, 0x7F, 0x6A, 0x15, 0x64, 0x6A, 0x8B, 0xBB ),
1735 BYTES_TO_T_UINT_8( 0x8A, 0x57, 0x82, 0x58, 0xA9, 0x56, 0xB5, 0xFB ),
1736 BYTES_TO_T_UINT_8( 0xDD, 0x50, 0x92, 0x60, 0xCC, 0x81, 0x24, 0xA8 ),
1737 BYTES_TO_T_UINT_8( 0x36, 0x3D, 0xAD, 0xDA, 0xD9, 0x51, 0x3E, 0x57 ),
1738 BYTES_TO_T_UINT_8( 0x5D, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1739};
1740static const mbedtls_mpi_uint secp521r1_T_11_Y[] = {
1741 BYTES_TO_T_UINT_8( 0xEC, 0xFE, 0x8F, 0xB0, 0x0B, 0xDE, 0x2E, 0x7E ),
1742 BYTES_TO_T_UINT_8( 0x79, 0xD2, 0xBE, 0xEF, 0xAC, 0x76, 0x71, 0xA3 ),
1743 BYTES_TO_T_UINT_8( 0x55, 0xE8, 0x72, 0x0B, 0xAC, 0xFE, 0xCA, 0x5A ),
1744 BYTES_TO_T_UINT_8( 0xAD, 0x5B, 0xC7, 0xFC, 0xE3, 0x3C, 0x7C, 0x4C ),
1745 BYTES_TO_T_UINT_8( 0xA1, 0x04, 0xA7, 0xB9, 0x9B, 0x93, 0xC0, 0x2F ),
1746 BYTES_TO_T_UINT_8( 0x41, 0x48, 0x4B, 0x8E, 0x32, 0xC5, 0xF0, 0x6B ),
1747 BYTES_TO_T_UINT_8( 0xB0, 0x42, 0x07, 0xC1, 0xF2, 0xF1, 0x72, 0x5B ),
1748 BYTES_TO_T_UINT_8( 0x1E, 0x37, 0x54, 0x9C, 0x88, 0xD2, 0x62, 0xAA ),
1749 BYTES_TO_T_UINT_8( 0xC1, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1750};
1751static const mbedtls_mpi_uint secp521r1_T_12_X[] = {
1752 BYTES_TO_T_UINT_8( 0xC2, 0x19, 0x8A, 0x89, 0x58, 0xA2, 0x0F, 0xDB ),
1753 BYTES_TO_T_UINT_8( 0x01, 0xCC, 0x4C, 0x97, 0x30, 0x66, 0x34, 0x26 ),
1754 BYTES_TO_T_UINT_8( 0x83, 0x6A, 0x1E, 0x1F, 0xDB, 0xC9, 0x5E, 0x13 ),
1755 BYTES_TO_T_UINT_8( 0x1B, 0x4D, 0x49, 0xFF, 0x9B, 0x9C, 0xAC, 0x9B ),
1756 BYTES_TO_T_UINT_8( 0xD7, 0xE4, 0x4B, 0xF2, 0xD4, 0x1A, 0xD2, 0x78 ),
1757 BYTES_TO_T_UINT_8( 0xCD, 0xDA, 0xE8, 0x61, 0x9F, 0xC8, 0x49, 0x32 ),
1758 BYTES_TO_T_UINT_8( 0x51, 0xCB, 0xF2, 0x2D, 0x85, 0xF6, 0x8D, 0x52 ),
1759 BYTES_TO_T_UINT_8( 0xB7, 0xC5, 0xCD, 0x2C, 0x79, 0xC6, 0x0E, 0x4F ),
1760 BYTES_TO_T_UINT_8( 0xDB, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1761};
1762static const mbedtls_mpi_uint secp521r1_T_12_Y[] = {
1763 BYTES_TO_T_UINT_8( 0x73, 0x1D, 0x55, 0x0F, 0xF8, 0x22, 0x9F, 0x78 ),
1764 BYTES_TO_T_UINT_8( 0x76, 0x56, 0xBA, 0xE7, 0x57, 0x32, 0xEC, 0x42 ),
1765 BYTES_TO_T_UINT_8( 0x65, 0x9A, 0xC6, 0x4C, 0x09, 0xC4, 0x52, 0x3F ),
1766 BYTES_TO_T_UINT_8( 0xB6, 0x1E, 0x6F, 0xF4, 0x7D, 0x27, 0xDD, 0xAF ),
1767 BYTES_TO_T_UINT_8( 0x94, 0x11, 0x16, 0xEC, 0x79, 0x83, 0xAD, 0xAE ),
1768 BYTES_TO_T_UINT_8( 0x46, 0x4E, 0x92, 0x1F, 0x19, 0x7D, 0x65, 0xDC ),
1769 BYTES_TO_T_UINT_8( 0x09, 0xFF, 0x78, 0x15, 0x45, 0x63, 0x32, 0xE4 ),
1770 BYTES_TO_T_UINT_8( 0xBF, 0x91, 0xD0, 0x78, 0x58, 0xDA, 0x50, 0x47 ),
1771 BYTES_TO_T_UINT_8( 0x73, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1772};
1773static const mbedtls_mpi_uint secp521r1_T_13_X[] = {
1774 BYTES_TO_T_UINT_8( 0x23, 0xDE, 0x40, 0xF6, 0x41, 0xB4, 0x3B, 0x95 ),
1775 BYTES_TO_T_UINT_8( 0xC6, 0x8D, 0xE0, 0xE1, 0xA9, 0xF0, 0x35, 0x5D ),
1776 BYTES_TO_T_UINT_8( 0xE6, 0xD4, 0xBA, 0x7B, 0xCC, 0x1B, 0x3A, 0x32 ),
1777 BYTES_TO_T_UINT_8( 0xD0, 0x5A, 0x2E, 0x74, 0x47, 0x14, 0xC3, 0x4D ),
1778 BYTES_TO_T_UINT_8( 0x7D, 0xF0, 0x8B, 0x06, 0x15, 0x8E, 0x0E, 0xCA ),
1779 BYTES_TO_T_UINT_8( 0xB5, 0xD2, 0xEB, 0x97, 0x50, 0x7D, 0x31, 0xFC ),
1780 BYTES_TO_T_UINT_8( 0x42, 0x93, 0x4C, 0xDB, 0x97, 0x79, 0x44, 0xF5 ),
1781 BYTES_TO_T_UINT_8( 0x9C, 0xA2, 0xA0, 0x0B, 0xC8, 0x3A, 0x8A, 0xF9 ),
1782 BYTES_TO_T_UINT_8( 0x61, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1783};
1784static const mbedtls_mpi_uint secp521r1_T_13_Y[] = {
1785 BYTES_TO_T_UINT_8( 0x79, 0x50, 0x92, 0x9E, 0x24, 0x1F, 0xCB, 0x4C ),
1786 BYTES_TO_T_UINT_8( 0xD3, 0x16, 0xC9, 0xC5, 0x3D, 0x5A, 0xAF, 0x97 ),
1787 BYTES_TO_T_UINT_8( 0x18, 0xE3, 0x97, 0xE4, 0xA8, 0x50, 0xF6, 0x7E ),
1788 BYTES_TO_T_UINT_8( 0x45, 0x57, 0x97, 0x42, 0x78, 0x92, 0x49, 0x0D ),
1789 BYTES_TO_T_UINT_8( 0xA5, 0xEB, 0x62, 0x24, 0xFB, 0x8F, 0x32, 0xCF ),
1790 BYTES_TO_T_UINT_8( 0xF3, 0x0C, 0x36, 0x6E, 0x8F, 0xE8, 0xE8, 0x8E ),
1791 BYTES_TO_T_UINT_8( 0xC2, 0xD3, 0x7C, 0xC7, 0x8D, 0x3F, 0x5C, 0xE1 ),
1792 BYTES_TO_T_UINT_8( 0x6A, 0x64, 0x6A, 0x73, 0x10, 0x79, 0xB8, 0x5A ),
1793 BYTES_TO_T_UINT_8( 0xCB, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1794};
1795static const mbedtls_mpi_uint secp521r1_T_14_X[] = {
1796 BYTES_TO_T_UINT_8( 0x51, 0xF9, 0xEF, 0xA5, 0x20, 0x4A, 0x5C, 0xA1 ),
1797 BYTES_TO_T_UINT_8( 0x2F, 0xF3, 0xF4, 0x49, 0x5B, 0x73, 0xAA, 0x1B ),
1798 BYTES_TO_T_UINT_8( 0xC6, 0xF2, 0xEA, 0x0F, 0x00, 0xAD, 0x53, 0xAB ),
1799 BYTES_TO_T_UINT_8( 0x03, 0xB8, 0x66, 0xED, 0xC4, 0x2B, 0x4C, 0x35 ),
1800 BYTES_TO_T_UINT_8( 0x3A, 0x2F, 0xC1, 0x9A, 0x37, 0xD2, 0x7F, 0x58 ),
1801 BYTES_TO_T_UINT_8( 0x29, 0xA7, 0x81, 0x38, 0x64, 0xC9, 0x37, 0x38 ),
1802 BYTES_TO_T_UINT_8( 0xBE, 0x3B, 0x6C, 0x9F, 0x5B, 0xD9, 0x8B, 0x1D ),
1803 BYTES_TO_T_UINT_8( 0xB6, 0x14, 0xD9, 0x08, 0xD8, 0xD2, 0x7E, 0x23 ),
1804 BYTES_TO_T_UINT_8( 0x1C, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1805};
1806static const mbedtls_mpi_uint secp521r1_T_14_Y[] = {
1807 BYTES_TO_T_UINT_8( 0x15, 0x71, 0xE6, 0x3D, 0xD1, 0xB0, 0xE7, 0xCD ),
1808 BYTES_TO_T_UINT_8( 0x5B, 0x81, 0x23, 0xEC, 0x2D, 0x42, 0x45, 0xE6 ),
1809 BYTES_TO_T_UINT_8( 0x51, 0x5B, 0x44, 0x6B, 0x89, 0x03, 0x67, 0x28 ),
1810 BYTES_TO_T_UINT_8( 0x84, 0x27, 0xAE, 0x80, 0x5A, 0x33, 0xBE, 0x11 ),
1811 BYTES_TO_T_UINT_8( 0xE3, 0xB6, 0x64, 0x1A, 0xDF, 0xD3, 0x85, 0x91 ),
1812 BYTES_TO_T_UINT_8( 0x67, 0x8C, 0x22, 0xBA, 0xD0, 0xBD, 0xCC, 0xA0 ),
1813 BYTES_TO_T_UINT_8( 0xF7, 0x3C, 0x01, 0x3A, 0xFF, 0x9D, 0xC7, 0x6B ),
1814 BYTES_TO_T_UINT_8( 0x0C, 0xC7, 0x64, 0xB4, 0x59, 0x4E, 0x9F, 0x22 ),
1815 BYTES_TO_T_UINT_8( 0x85, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1816};
1817static const mbedtls_mpi_uint secp521r1_T_15_X[] = {
1818 BYTES_TO_T_UINT_8( 0xA1, 0x34, 0x0A, 0x41, 0x94, 0xA8, 0xF2, 0xB7 ),
1819 BYTES_TO_T_UINT_8( 0xF6, 0xD4, 0xE4, 0xF0, 0x97, 0x45, 0x6D, 0xCA ),
1820 BYTES_TO_T_UINT_8( 0x8F, 0x1F, 0x4D, 0x6D, 0xFE, 0xA0, 0xC4, 0x84 ),
1821 BYTES_TO_T_UINT_8( 0x1D, 0x28, 0x5C, 0x40, 0xBB, 0x65, 0xD4, 0x42 ),
1822 BYTES_TO_T_UINT_8( 0x98, 0xA8, 0x87, 0x35, 0x20, 0x3A, 0x89, 0x44 ),
1823 BYTES_TO_T_UINT_8( 0xD6, 0xFD, 0x4F, 0xAB, 0x2D, 0xD1, 0xD0, 0xC0 ),
1824 BYTES_TO_T_UINT_8( 0x86, 0xE8, 0x00, 0xFC, 0x69, 0x52, 0xF8, 0xD5 ),
1825 BYTES_TO_T_UINT_8( 0xE1, 0x9A, 0x99, 0xE1, 0xDC, 0x9C, 0x3F, 0xD9 ),
1826 BYTES_TO_T_UINT_8( 0x99, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1827};
1828static const mbedtls_mpi_uint secp521r1_T_15_Y[] = {
1829 BYTES_TO_T_UINT_8( 0x12, 0x08, 0x98, 0xD9, 0xCA, 0x73, 0xD5, 0xA9 ),
1830 BYTES_TO_T_UINT_8( 0xB9, 0x2C, 0xE0, 0xA7, 0x3E, 0x91, 0xD7, 0x87 ),
1831 BYTES_TO_T_UINT_8( 0x68, 0x04, 0xB0, 0x54, 0x09, 0xF4, 0x72, 0xB7 ),
1832 BYTES_TO_T_UINT_8( 0xC8, 0xEE, 0x28, 0xCC, 0xE8, 0x50, 0x78, 0x20 ),
1833 BYTES_TO_T_UINT_8( 0x0D, 0x91, 0x03, 0x76, 0xDB, 0x68, 0x24, 0x77 ),
1834 BYTES_TO_T_UINT_8( 0x7A, 0xE0, 0x56, 0xB2, 0x5D, 0x12, 0xD3, 0xB5 ),
1835 BYTES_TO_T_UINT_8( 0x0D, 0x42, 0x59, 0x8B, 0xDF, 0x67, 0xB5, 0xBE ),
1836 BYTES_TO_T_UINT_8( 0xD1, 0xCC, 0xE5, 0x31, 0x53, 0x7A, 0x46, 0xB3 ),
1837 BYTES_TO_T_UINT_8( 0xDA, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1838};
1839static const mbedtls_mpi_uint secp521r1_T_16_X[] = {
1840 BYTES_TO_T_UINT_8( 0xCC, 0x8D, 0x59, 0xB5, 0x1B, 0x0F, 0xF4, 0xAF ),
1841 BYTES_TO_T_UINT_8( 0xD9, 0x2F, 0xD1, 0x2C, 0xE0, 0xD8, 0x04, 0xEF ),
1842 BYTES_TO_T_UINT_8( 0xAC, 0xF4, 0xD7, 0xBA, 0xB0, 0xA3, 0x7E, 0xC9 ),
1843 BYTES_TO_T_UINT_8( 0xCD, 0x08, 0x51, 0x56, 0xA6, 0x76, 0x67, 0x33 ),
1844 BYTES_TO_T_UINT_8( 0x8C, 0x17, 0x63, 0xFE, 0x56, 0xD0, 0xD9, 0x71 ),
1845 BYTES_TO_T_UINT_8( 0xAA, 0xF6, 0xC3, 0x14, 0x47, 0xC5, 0xA7, 0x31 ),
1846 BYTES_TO_T_UINT_8( 0x72, 0x4C, 0x80, 0xF6, 0xA2, 0x57, 0xA7, 0x5D ),
1847 BYTES_TO_T_UINT_8( 0x11, 0xB3, 0x7B, 0xF8, 0x2F, 0xE1, 0x3E, 0x7B ),
1848 BYTES_TO_T_UINT_8( 0xFA, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1849};
1850static const mbedtls_mpi_uint secp521r1_T_16_Y[] = {
1851 BYTES_TO_T_UINT_8( 0x26, 0xF4, 0xF9, 0x6B, 0x7B, 0x90, 0xDF, 0x30 ),
1852 BYTES_TO_T_UINT_8( 0x1F, 0x82, 0xEF, 0x62, 0xA1, 0x4C, 0x53, 0xCA ),
1853 BYTES_TO_T_UINT_8( 0xE6, 0x99, 0x76, 0x01, 0xBA, 0x8D, 0x0F, 0x54 ),
1854 BYTES_TO_T_UINT_8( 0xAF, 0xF4, 0x58, 0x73, 0x56, 0xFE, 0xDD, 0x7C ),
1855 BYTES_TO_T_UINT_8( 0xF6, 0xCE, 0xF9, 0xE8, 0xA1, 0x34, 0xC3, 0x5B ),
1856 BYTES_TO_T_UINT_8( 0x09, 0x5F, 0xDC, 0x6A, 0x3D, 0xD8, 0x7F, 0x42 ),
1857 BYTES_TO_T_UINT_8( 0xC2, 0xF4, 0x51, 0xB8, 0xB8, 0xC1, 0xD7, 0x2F ),
1858 BYTES_TO_T_UINT_8( 0xAE, 0x7D, 0x58, 0xD1, 0xD4, 0x1B, 0x4D, 0x23 ),
1859 BYTES_TO_T_UINT_8( 0xD3, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1860};
1861static const mbedtls_mpi_uint secp521r1_T_17_X[] = {
1862 BYTES_TO_T_UINT_8( 0xB9, 0x95, 0xDF, 0x00, 0xD8, 0x21, 0xDE, 0x94 ),
1863 BYTES_TO_T_UINT_8( 0xF7, 0x47, 0x3C, 0xC3, 0xB2, 0x01, 0x53, 0x5D ),
1864 BYTES_TO_T_UINT_8( 0x1E, 0x17, 0x43, 0x23, 0xBD, 0xCA, 0x71, 0xF2 ),
1865 BYTES_TO_T_UINT_8( 0x70, 0xBA, 0x0F, 0x4F, 0xDC, 0x41, 0x54, 0xBE ),
1866 BYTES_TO_T_UINT_8( 0xD6, 0x39, 0x26, 0x70, 0x53, 0x32, 0x18, 0x11 ),
1867 BYTES_TO_T_UINT_8( 0x32, 0x46, 0x07, 0x97, 0x3A, 0x57, 0xE0, 0x01 ),
1868 BYTES_TO_T_UINT_8( 0xD6, 0x92, 0x4F, 0xCE, 0xDF, 0x25, 0x80, 0x26 ),
1869 BYTES_TO_T_UINT_8( 0x5B, 0x6F, 0x9A, 0x03, 0x05, 0x4B, 0xD1, 0x47 ),
1870 BYTES_TO_T_UINT_8( 0x5D, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1871};
1872static const mbedtls_mpi_uint secp521r1_T_17_Y[] = {
1873 BYTES_TO_T_UINT_8( 0x25, 0x01, 0x72, 0x30, 0x90, 0x17, 0x51, 0x20 ),
1874 BYTES_TO_T_UINT_8( 0x74, 0xFB, 0x41, 0x65, 0x5C, 0xB4, 0x2D, 0xEE ),
1875 BYTES_TO_T_UINT_8( 0x66, 0xCD, 0xCD, 0xAA, 0x41, 0xCC, 0xBB, 0x07 ),
1876 BYTES_TO_T_UINT_8( 0xD4, 0xCE, 0x08, 0x0A, 0x63, 0xE9, 0xA2, 0xFF ),
1877 BYTES_TO_T_UINT_8( 0x3D, 0xA8, 0x21, 0x7F, 0x7A, 0x5B, 0x9B, 0x81 ),
1878 BYTES_TO_T_UINT_8( 0x10, 0x6B, 0x89, 0x44, 0x0A, 0x7F, 0x85, 0x5F ),
1879 BYTES_TO_T_UINT_8( 0x7D, 0xDE, 0x7C, 0x19, 0x5C, 0x65, 0x26, 0x61 ),
1880 BYTES_TO_T_UINT_8( 0xD7, 0xAC, 0x62, 0x29, 0x4A, 0xF1, 0xD0, 0x81 ),
1881 BYTES_TO_T_UINT_8( 0x38, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1882};
1883static const mbedtls_mpi_uint secp521r1_T_18_X[] = {
1884 BYTES_TO_T_UINT_8( 0x32, 0x00, 0x40, 0x87, 0xEB, 0xA9, 0x58, 0x56 ),
1885 BYTES_TO_T_UINT_8( 0xAF, 0x51, 0x0B, 0xFF, 0x56, 0x35, 0x51, 0xB3 ),
1886 BYTES_TO_T_UINT_8( 0x7B, 0xAC, 0x08, 0x94, 0x71, 0xDA, 0xEC, 0x99 ),
1887 BYTES_TO_T_UINT_8( 0x5F, 0x4D, 0xC5, 0x7B, 0x31, 0x8B, 0x8D, 0x5E ),
1888 BYTES_TO_T_UINT_8( 0x15, 0x05, 0xF1, 0x3E, 0x9E, 0x8F, 0x17, 0x8F ),
1889 BYTES_TO_T_UINT_8( 0xF0, 0x9C, 0x4B, 0x62, 0x94, 0xAD, 0x49, 0xFC ),
1890 BYTES_TO_T_UINT_8( 0x0F, 0xC9, 0xC6, 0x8F, 0xFD, 0x33, 0x44, 0x34 ),
1891 BYTES_TO_T_UINT_8( 0x5F, 0x96, 0x17, 0x7F, 0x42, 0xBE, 0xF7, 0x0D ),
1892 BYTES_TO_T_UINT_8( 0xD4, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1893};
1894static const mbedtls_mpi_uint secp521r1_T_18_Y[] = {
1895 BYTES_TO_T_UINT_8( 0xFB, 0x29, 0x39, 0x13, 0x08, 0x8D, 0x91, 0x47 ),
1896 BYTES_TO_T_UINT_8( 0xF6, 0x79, 0xF9, 0x2F, 0xA9, 0x0A, 0xCF, 0xD6 ),
1897 BYTES_TO_T_UINT_8( 0xAB, 0x87, 0x7A, 0xA3, 0x19, 0xAB, 0x55, 0xAD ),
1898 BYTES_TO_T_UINT_8( 0xE8, 0x0B, 0x01, 0xC5, 0x56, 0x19, 0x9D, 0x9E ),
1899 BYTES_TO_T_UINT_8( 0x19, 0xDE, 0x82, 0x3B, 0xEA, 0xD3, 0x0B, 0x8C ),
1900 BYTES_TO_T_UINT_8( 0x65, 0x6B, 0xC7, 0xF3, 0x0F, 0x82, 0x87, 0x6C ),
1901 BYTES_TO_T_UINT_8( 0xD8, 0x2E, 0x23, 0xF2, 0x39, 0x9D, 0x49, 0x70 ),
1902 BYTES_TO_T_UINT_8( 0x31, 0xDE, 0xAF, 0x7A, 0xEE, 0xB0, 0xDA, 0x70 ),
1903 BYTES_TO_T_UINT_8( 0x63, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1904};
1905static const mbedtls_mpi_uint secp521r1_T_19_X[] = {
1906 BYTES_TO_T_UINT_8( 0x76, 0x4E, 0x2A, 0x50, 0xFD, 0x8E, 0xC0, 0xEB ),
1907 BYTES_TO_T_UINT_8( 0x52, 0x0F, 0x7C, 0x76, 0x63, 0xD8, 0x89, 0x45 ),
1908 BYTES_TO_T_UINT_8( 0xEC, 0x2D, 0xB9, 0x4E, 0xF4, 0xEE, 0x85, 0xCF ),
1909 BYTES_TO_T_UINT_8( 0xC1, 0x95, 0x5C, 0x96, 0x5D, 0xAA, 0x59, 0x0B ),
1910 BYTES_TO_T_UINT_8( 0xCA, 0xDB, 0xD2, 0x68, 0x8E, 0x5A, 0x94, 0x60 ),
1911 BYTES_TO_T_UINT_8( 0xD9, 0x02, 0xBF, 0x77, 0x9F, 0xB9, 0x4C, 0xC9 ),
1912 BYTES_TO_T_UINT_8( 0x2D, 0xDC, 0xC0, 0xCF, 0x81, 0x1E, 0xC4, 0x6C ),
1913 BYTES_TO_T_UINT_8( 0x2B, 0xCC, 0x37, 0x86, 0xDC, 0xE2, 0x64, 0x72 ),
1914 BYTES_TO_T_UINT_8( 0xD5, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1915};
1916static const mbedtls_mpi_uint secp521r1_T_19_Y[] = {
1917 BYTES_TO_T_UINT_8( 0x2C, 0x30, 0xB1, 0x59, 0x20, 0x9D, 0x98, 0x28 ),
1918 BYTES_TO_T_UINT_8( 0x77, 0x0C, 0x9D, 0xF8, 0x20, 0xDC, 0x90, 0xBA ),
1919 BYTES_TO_T_UINT_8( 0xB1, 0xA0, 0xF4, 0xE7, 0x3E, 0x9C, 0x9E, 0xA2 ),
1920 BYTES_TO_T_UINT_8( 0xB5, 0x25, 0xA2, 0xB0, 0x54, 0xCD, 0x2E, 0x33 ),
1921 BYTES_TO_T_UINT_8( 0xEA, 0xD9, 0x42, 0xB0, 0x80, 0xB0, 0xA3, 0x38 ),
1922 BYTES_TO_T_UINT_8( 0x9F, 0xFE, 0x9D, 0x8D, 0x40, 0xFF, 0x27, 0x6D ),
1923 BYTES_TO_T_UINT_8( 0x3A, 0x9D, 0xA6, 0x88, 0x3A, 0x8B, 0x6F, 0x14 ),
1924 BYTES_TO_T_UINT_8( 0xB6, 0x39, 0xEE, 0x1F, 0x3F, 0xB1, 0x4F, 0x63 ),
1925 BYTES_TO_T_UINT_8( 0x31, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1926};
1927static const mbedtls_mpi_uint secp521r1_T_20_X[] = {
1928 BYTES_TO_T_UINT_8( 0x6D, 0xD7, 0x9E, 0xFF, 0xD2, 0x35, 0x67, 0x03 ),
1929 BYTES_TO_T_UINT_8( 0xCA, 0x4F, 0x15, 0x5D, 0xE3, 0xE8, 0x53, 0x86 ),
1930 BYTES_TO_T_UINT_8( 0x92, 0xF7, 0x24, 0x98, 0xA2, 0xCB, 0x11, 0x68 ),
1931 BYTES_TO_T_UINT_8( 0x06, 0x2E, 0x25, 0xE1, 0x94, 0xC5, 0xA3, 0x96 ),
1932 BYTES_TO_T_UINT_8( 0xE0, 0x82, 0x6E, 0xBA, 0xE7, 0x43, 0x25, 0xB0 ),
1933 BYTES_TO_T_UINT_8( 0x18, 0x65, 0xB4, 0x49, 0x73, 0x18, 0x35, 0x54 ),
1934 BYTES_TO_T_UINT_8( 0x59, 0x5B, 0xBC, 0x62, 0x86, 0x4C, 0xC1, 0xB7 ),
1935 BYTES_TO_T_UINT_8( 0x9B, 0xF2, 0x95, 0xA2, 0xBB, 0xA2, 0x35, 0x65 ),
1936 BYTES_TO_T_UINT_8( 0xBF, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1937};
1938static const mbedtls_mpi_uint secp521r1_T_20_Y[] = {
1939 BYTES_TO_T_UINT_8( 0x72, 0x59, 0x62, 0xB0, 0x4B, 0x1E, 0xB4, 0xD8 ),
1940 BYTES_TO_T_UINT_8( 0x0D, 0x55, 0xCE, 0xB0, 0x69, 0xBA, 0x63, 0x10 ),
1941 BYTES_TO_T_UINT_8( 0x6E, 0x69, 0x86, 0xDB, 0x34, 0x7D, 0x68, 0x64 ),
1942 BYTES_TO_T_UINT_8( 0xDA, 0x06, 0xCA, 0x55, 0x44, 0x36, 0x2B, 0xBA ),
1943 BYTES_TO_T_UINT_8( 0x6C, 0xD4, 0xC4, 0x3D, 0xCD, 0x9E, 0x69, 0xA4 ),
1944 BYTES_TO_T_UINT_8( 0x3F, 0x44, 0xE4, 0xBF, 0x31, 0xE6, 0x40, 0x9F ),
1945 BYTES_TO_T_UINT_8( 0x7E, 0x4F, 0xFA, 0x75, 0xE3, 0xFB, 0x97, 0x0E ),
1946 BYTES_TO_T_UINT_8( 0x08, 0xC0, 0xBD, 0x1C, 0x48, 0xB0, 0x26, 0xD0 ),
1947 BYTES_TO_T_UINT_8( 0xD2, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1948};
1949static const mbedtls_mpi_uint secp521r1_T_21_X[] = {
1950 BYTES_TO_T_UINT_8( 0x1C, 0x7B, 0x32, 0xFA, 0xF2, 0x6D, 0x84, 0x8E ),
1951 BYTES_TO_T_UINT_8( 0xA0, 0x21, 0x03, 0x1D, 0x0D, 0x22, 0x55, 0x67 ),
1952 BYTES_TO_T_UINT_8( 0x18, 0xF9, 0x42, 0x03, 0x9C, 0xC2, 0xCB, 0xBA ),
1953 BYTES_TO_T_UINT_8( 0xF8, 0xA1, 0x96, 0xD9, 0x9D, 0x11, 0x6F, 0xBE ),
1954 BYTES_TO_T_UINT_8( 0xFF, 0x40, 0x57, 0xEB, 0x40, 0x2D, 0xC0, 0x11 ),
1955 BYTES_TO_T_UINT_8( 0x2F, 0x96, 0xBB, 0x4F, 0x2F, 0x23, 0xA8, 0x28 ),
1956 BYTES_TO_T_UINT_8( 0x3A, 0x29, 0x85, 0x21, 0xA5, 0x50, 0x62, 0x06 ),
1957 BYTES_TO_T_UINT_8( 0xC9, 0x7D, 0x92, 0xCF, 0x87, 0x0C, 0x22, 0xF9 ),
1958 BYTES_TO_T_UINT_8( 0xC9, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1959};
1960static const mbedtls_mpi_uint secp521r1_T_21_Y[] = {
1961 BYTES_TO_T_UINT_8( 0x5A, 0x0E, 0xA5, 0x32, 0x5B, 0xDF, 0x9C, 0xD5 ),
1962 BYTES_TO_T_UINT_8( 0x27, 0x96, 0x37, 0x2C, 0x88, 0x35, 0x30, 0xA1 ),
1963 BYTES_TO_T_UINT_8( 0x40, 0xB4, 0x69, 0xFF, 0xEB, 0xC6, 0x94, 0x08 ),
1964 BYTES_TO_T_UINT_8( 0xC9, 0x55, 0x60, 0xAD, 0xAA, 0x58, 0x14, 0x88 ),
1965 BYTES_TO_T_UINT_8( 0x3C, 0xFF, 0xF2, 0xB2, 0xD5, 0xA7, 0xD9, 0x27 ),
1966 BYTES_TO_T_UINT_8( 0x2D, 0xAE, 0x54, 0xD2, 0x60, 0x31, 0xF3, 0x15 ),
1967 BYTES_TO_T_UINT_8( 0xBB, 0x92, 0x83, 0xE3, 0xF1, 0x42, 0x83, 0x6E ),
1968 BYTES_TO_T_UINT_8( 0x49, 0xD2, 0xC8, 0xB7, 0x76, 0x45, 0x7F, 0x7D ),
1969 BYTES_TO_T_UINT_8( 0x04, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1970};
1971static const mbedtls_mpi_uint secp521r1_T_22_X[] = {
1972 BYTES_TO_T_UINT_8( 0x4A, 0x11, 0xA4, 0xFB, 0x7A, 0x01, 0xBC, 0xC8 ),
1973 BYTES_TO_T_UINT_8( 0xCD, 0x27, 0x73, 0x8D, 0x02, 0x91, 0x27, 0x8E ),
1974 BYTES_TO_T_UINT_8( 0xA4, 0x62, 0xF6, 0xDD, 0x6B, 0xFA, 0x5B, 0xB9 ),
1975 BYTES_TO_T_UINT_8( 0xEF, 0xCA, 0xA2, 0x44, 0x2C, 0xF0, 0x28, 0xD8 ),
1976 BYTES_TO_T_UINT_8( 0x3C, 0xF1, 0x7A, 0xA2, 0x42, 0x4C, 0x50, 0xC6 ),
1977 BYTES_TO_T_UINT_8( 0x2D, 0x83, 0x3E, 0x50, 0xAB, 0x9C, 0xF7, 0x67 ),
1978 BYTES_TO_T_UINT_8( 0x1D, 0xED, 0x78, 0xCB, 0x76, 0x69, 0xDA, 0x42 ),
1979 BYTES_TO_T_UINT_8( 0xDB, 0x01, 0x1E, 0x43, 0x27, 0x47, 0x6E, 0xDA ),
1980 BYTES_TO_T_UINT_8( 0x94, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1981};
1982static const mbedtls_mpi_uint secp521r1_T_22_Y[] = {
1983 BYTES_TO_T_UINT_8( 0xD3, 0x4F, 0x54, 0xB9, 0x3E, 0xBD, 0xD5, 0x44 ),
1984 BYTES_TO_T_UINT_8( 0xC9, 0x35, 0x40, 0x69, 0x7F, 0x74, 0x9D, 0x32 ),
1985 BYTES_TO_T_UINT_8( 0x5A, 0x06, 0x6F, 0x67, 0x68, 0x2B, 0x4D, 0x10 ),
1986 BYTES_TO_T_UINT_8( 0xC6, 0x65, 0x41, 0xFC, 0x7C, 0x1E, 0xE8, 0xC8 ),
1987 BYTES_TO_T_UINT_8( 0xF2, 0x79, 0x37, 0xAF, 0xFD, 0xD2, 0xDA, 0x4C ),
1988 BYTES_TO_T_UINT_8( 0x33, 0xA8, 0x69, 0x56, 0x62, 0xA4, 0xE4, 0xA3 ),
1989 BYTES_TO_T_UINT_8( 0x42, 0x71, 0x73, 0x21, 0x8A, 0x17, 0x81, 0xA2 ),
1990 BYTES_TO_T_UINT_8( 0x14, 0x55, 0x8F, 0x7B, 0xB8, 0xAF, 0xF7, 0x86 ),
1991 BYTES_TO_T_UINT_8( 0xAA, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
1992};
1993static const mbedtls_mpi_uint secp521r1_T_23_X[] = {
1994 BYTES_TO_T_UINT_8( 0x4B, 0xD1, 0xBD, 0xBE, 0x8C, 0xBC, 0x60, 0x6E ),
1995 BYTES_TO_T_UINT_8( 0x62, 0xA6, 0x57, 0x8C, 0xAE, 0x5C, 0x19, 0xFE ),
1996 BYTES_TO_T_UINT_8( 0x7A, 0x43, 0xE4, 0xD9, 0xD8, 0x7B, 0xE7, 0x41 ),
1997 BYTES_TO_T_UINT_8( 0xED, 0xB9, 0xE4, 0x85, 0x7C, 0x2E, 0xFC, 0x20 ),
1998 BYTES_TO_T_UINT_8( 0x02, 0x2E, 0x01, 0x2A, 0x6D, 0x56, 0xBE, 0x97 ),
1999 BYTES_TO_T_UINT_8( 0x6A, 0x0C, 0x25, 0x9B, 0xAE, 0x86, 0x37, 0x43 ),
2000 BYTES_TO_T_UINT_8( 0x4A, 0x22, 0xB3, 0xCB, 0x99, 0x66, 0xB7, 0x9E ),
2001 BYTES_TO_T_UINT_8( 0x56, 0xF7, 0x90, 0xF0, 0x1B, 0x09, 0x27, 0xF7 ),
2002 BYTES_TO_T_UINT_8( 0xC8, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
2003};
2004static const mbedtls_mpi_uint secp521r1_T_23_Y[] = {
2005 BYTES_TO_T_UINT_8( 0x1C, 0x16, 0x08, 0xEF, 0x39, 0x64, 0x49, 0x31 ),
2006 BYTES_TO_T_UINT_8( 0x08, 0xA0, 0xE3, 0x97, 0xA9, 0x07, 0x54, 0x26 ),
2007 BYTES_TO_T_UINT_8( 0xCD, 0xFF, 0xE2, 0x00, 0x07, 0x21, 0x88, 0x20 ),
2008 BYTES_TO_T_UINT_8( 0x16, 0xFD, 0x59, 0x53, 0x05, 0x6C, 0x42, 0x27 ),
2009 BYTES_TO_T_UINT_8( 0x8F, 0xF7, 0x39, 0x5C, 0x82, 0x36, 0xE8, 0x03 ),
2010 BYTES_TO_T_UINT_8( 0x2E, 0x83, 0xA8, 0xE2, 0xA8, 0x43, 0x07, 0x38 ),
2011 BYTES_TO_T_UINT_8( 0xE6, 0xAF, 0x2B, 0x79, 0xED, 0xD8, 0x39, 0x87 ),
2012 BYTES_TO_T_UINT_8( 0x15, 0x20, 0x91, 0x7A, 0xC4, 0x07, 0xEF, 0x6C ),
2013 BYTES_TO_T_UINT_8( 0x28, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
2014};
2015static const mbedtls_mpi_uint secp521r1_T_24_X[] = {
2016 BYTES_TO_T_UINT_8( 0x6A, 0x10, 0x2F, 0xAA, 0x0C, 0x94, 0x0E, 0x5A ),
2017 BYTES_TO_T_UINT_8( 0xB7, 0x81, 0x87, 0x41, 0x23, 0xEB, 0x55, 0x7C ),
2018 BYTES_TO_T_UINT_8( 0xB8, 0x53, 0xCC, 0x79, 0xB6, 0xEB, 0x6C, 0xCC ),
2019 BYTES_TO_T_UINT_8( 0xF4, 0x77, 0x73, 0x9D, 0xFC, 0x64, 0x6F, 0x7F ),
2020 BYTES_TO_T_UINT_8( 0x3C, 0x40, 0xE3, 0x6D, 0x1C, 0x16, 0x71, 0x15 ),
2021 BYTES_TO_T_UINT_8( 0x5A, 0xF4, 0x1B, 0xFF, 0x1C, 0x2F, 0xA5, 0xD7 ),
2022 BYTES_TO_T_UINT_8( 0x06, 0x0E, 0x0B, 0x11, 0xF4, 0x8D, 0x93, 0xAF ),
2023 BYTES_TO_T_UINT_8( 0x58, 0xC5, 0x64, 0x6F, 0x24, 0x19, 0xF2, 0x9B ),
2024 BYTES_TO_T_UINT_8( 0x1C, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
2025};
2026static const mbedtls_mpi_uint secp521r1_T_24_Y[] = {
2027 BYTES_TO_T_UINT_8( 0x52, 0xB3, 0xAF, 0xA5, 0x0E, 0x4F, 0x5E, 0xE1 ),
2028 BYTES_TO_T_UINT_8( 0x0F, 0x77, 0xCA, 0xF2, 0x6D, 0xC5, 0xF6, 0x9F ),
2029 BYTES_TO_T_UINT_8( 0x90, 0x18, 0x8E, 0x33, 0x68, 0x6C, 0xE8, 0xE0 ),
2030 BYTES_TO_T_UINT_8( 0xFC, 0x8B, 0x80, 0x90, 0x19, 0x7F, 0x90, 0x96 ),
2031 BYTES_TO_T_UINT_8( 0x5B, 0x80, 0x6B, 0x68, 0xE2, 0x7D, 0xD4, 0xD0 ),
2032 BYTES_TO_T_UINT_8( 0x2A, 0xC1, 0x67, 0xB3, 0x72, 0xCB, 0xBF, 0x2F ),
2033 BYTES_TO_T_UINT_8( 0x4F, 0xD5, 0xD3, 0x1D, 0x14, 0x58, 0x0A, 0x80 ),
2034 BYTES_TO_T_UINT_8( 0x79, 0x7A, 0x65, 0x98, 0xB3, 0x07, 0x4B, 0x2F ),
2035 BYTES_TO_T_UINT_8( 0xF3, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
2036};
2037static const mbedtls_mpi_uint secp521r1_T_25_X[] = {
2038 BYTES_TO_T_UINT_8( 0x2A, 0x87, 0x0F, 0x5F, 0xCF, 0xA2, 0x01, 0x08 ),
2039 BYTES_TO_T_UINT_8( 0x0C, 0xC9, 0xC8, 0x6E, 0x35, 0x87, 0xA5, 0x67 ),
2040 BYTES_TO_T_UINT_8( 0x94, 0x3E, 0x91, 0xA0, 0xAB, 0x24, 0x1E, 0xF2 ),
2041 BYTES_TO_T_UINT_8( 0xB9, 0xBC, 0x02, 0x35, 0x70, 0xC1, 0x5F, 0x98 ),
2042 BYTES_TO_T_UINT_8( 0x26, 0x59, 0xA0, 0x50, 0x04, 0x80, 0x52, 0x85 ),
2043 BYTES_TO_T_UINT_8( 0xF8, 0x56, 0x6E, 0x42, 0x8F, 0x8C, 0x91, 0x65 ),
2044 BYTES_TO_T_UINT_8( 0xAC, 0xA2, 0xCB, 0xA5, 0xDE, 0x14, 0x24, 0x38 ),
2045 BYTES_TO_T_UINT_8( 0x00, 0xCB, 0x74, 0x28, 0xE6, 0xA7, 0xE7, 0xC3 ),
2046 BYTES_TO_T_UINT_8( 0x5F, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
2047};
2048static const mbedtls_mpi_uint secp521r1_T_25_Y[] = {
2049 BYTES_TO_T_UINT_8( 0x35, 0x73, 0xA8, 0x8F, 0x9E, 0x0E, 0x63, 0x96 ),
2050 BYTES_TO_T_UINT_8( 0xC8, 0x1B, 0x77, 0xC7, 0xC1, 0x38, 0xF9, 0xDC ),
2051 BYTES_TO_T_UINT_8( 0xD8, 0x3C, 0xCF, 0xA8, 0x7A, 0xD7, 0xF3, 0xC4 ),
2052 BYTES_TO_T_UINT_8( 0xDD, 0x5F, 0x9A, 0xC9, 0xAD, 0xE9, 0x1A, 0x93 ),
2053 BYTES_TO_T_UINT_8( 0xFC, 0xCF, 0x2B, 0x5E, 0xD5, 0x81, 0x95, 0xA8 ),
2054 BYTES_TO_T_UINT_8( 0x19, 0x88, 0x75, 0x29, 0x1F, 0xC7, 0xC7, 0xD0 ),
2055 BYTES_TO_T_UINT_8( 0xD8, 0xA9, 0x5A, 0x4D, 0x63, 0x95, 0xF9, 0x4E ),
2056 BYTES_TO_T_UINT_8( 0xEB, 0xCD, 0x04, 0x8F, 0xCD, 0x91, 0xDE, 0xC6 ),
2057 BYTES_TO_T_UINT_8( 0x71, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
2058};
2059static const mbedtls_mpi_uint secp521r1_T_26_X[] = {
2060 BYTES_TO_T_UINT_8( 0x88, 0xD4, 0xFD, 0x25, 0x11, 0x99, 0x6E, 0xEA ),
2061 BYTES_TO_T_UINT_8( 0xB0, 0x83, 0x01, 0x3D, 0xFB, 0x56, 0xA5, 0x4E ),
2062 BYTES_TO_T_UINT_8( 0xC2, 0x3A, 0xDC, 0x74, 0xC2, 0xD7, 0xCF, 0xE8 ),
2063 BYTES_TO_T_UINT_8( 0x8F, 0xBD, 0xF1, 0xDD, 0xA3, 0x07, 0x03, 0xE2 ),
2064 BYTES_TO_T_UINT_8( 0x7B, 0xBE, 0xE9, 0x2E, 0x58, 0x84, 0x66, 0xFC ),
2065 BYTES_TO_T_UINT_8( 0x71, 0x20, 0x78, 0x37, 0x79, 0x0B, 0xA6, 0x64 ),
2066 BYTES_TO_T_UINT_8( 0xE3, 0xF2, 0xAC, 0x65, 0xC8, 0xC9, 0x2F, 0x61 ),
2067 BYTES_TO_T_UINT_8( 0x26, 0x93, 0xE5, 0x0D, 0x0C, 0xC6, 0xB8, 0xCB ),
2068 BYTES_TO_T_UINT_8( 0x9C, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
2069};
2070static const mbedtls_mpi_uint secp521r1_T_26_Y[] = {
2071 BYTES_TO_T_UINT_8( 0x69, 0xAD, 0x5C, 0x19, 0x12, 0x61, 0x0E, 0x25 ),
2072 BYTES_TO_T_UINT_8( 0x39, 0x4F, 0x0B, 0x1F, 0x49, 0x7E, 0xCD, 0x81 ),
2073 BYTES_TO_T_UINT_8( 0x46, 0x2E, 0x30, 0x61, 0xDB, 0x08, 0x68, 0x9B ),
2074 BYTES_TO_T_UINT_8( 0x41, 0x78, 0xAF, 0xB3, 0x08, 0xC1, 0x69, 0xE5 ),
2075 BYTES_TO_T_UINT_8( 0xC4, 0x5F, 0x5D, 0xC1, 0x57, 0x6F, 0xD8, 0x34 ),
2076 BYTES_TO_T_UINT_8( 0x38, 0xD3, 0x6A, 0xF7, 0xFD, 0x86, 0xE5, 0xB3 ),
2077 BYTES_TO_T_UINT_8( 0xA8, 0x63, 0xBD, 0x70, 0x7B, 0x47, 0xE8, 0x6D ),
2078 BYTES_TO_T_UINT_8( 0x18, 0x62, 0xC8, 0x7E, 0x9D, 0x11, 0x2B, 0xA5 ),
2079 BYTES_TO_T_UINT_8( 0xB6, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
2080};
2081static const mbedtls_mpi_uint secp521r1_T_27_X[] = {
2082 BYTES_TO_T_UINT_8( 0xE2, 0x84, 0xFD, 0xD5, 0x9A, 0x56, 0x7F, 0x5C ),
2083 BYTES_TO_T_UINT_8( 0x7C, 0xBB, 0xA4, 0x6F, 0x12, 0x6E, 0x4D, 0xF8 ),
2084 BYTES_TO_T_UINT_8( 0x1D, 0x08, 0xA1, 0x82, 0x9C, 0x62, 0x74, 0x7B ),
2085 BYTES_TO_T_UINT_8( 0x9E, 0x58, 0x22, 0x05, 0x1D, 0x15, 0x35, 0x79 ),
2086 BYTES_TO_T_UINT_8( 0x9A, 0x88, 0xCF, 0x5C, 0x05, 0x78, 0xFB, 0x94 ),
2087 BYTES_TO_T_UINT_8( 0xAC, 0x6B, 0x2F, 0x79, 0x09, 0x73, 0x67, 0xEC ),
2088 BYTES_TO_T_UINT_8( 0xD8, 0xA0, 0x80, 0xD8, 0xE8, 0xEC, 0xFB, 0x42 ),
2089 BYTES_TO_T_UINT_8( 0xF5, 0xE7, 0x0B, 0xB7, 0x81, 0x48, 0x7B, 0xD9 ),
2090 BYTES_TO_T_UINT_8( 0xE3, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
2091};
2092static const mbedtls_mpi_uint secp521r1_T_27_Y[] = {
2093 BYTES_TO_T_UINT_8( 0xE8, 0x53, 0xA9, 0xED, 0x61, 0x92, 0xD7, 0x85 ),
2094 BYTES_TO_T_UINT_8( 0x26, 0x49, 0xD9, 0x5D, 0x9B, 0x4E, 0x89, 0x35 ),
2095 BYTES_TO_T_UINT_8( 0xB8, 0x12, 0xEB, 0x9A, 0xC9, 0xCB, 0xC1, 0x95 ),
2096 BYTES_TO_T_UINT_8( 0x35, 0xDC, 0x95, 0x16, 0xFE, 0x29, 0x70, 0x01 ),
2097 BYTES_TO_T_UINT_8( 0x64, 0x33, 0xB1, 0xD6, 0x78, 0xB9, 0xE2, 0x36 ),
2098 BYTES_TO_T_UINT_8( 0x34, 0xCE, 0x88, 0xC3, 0xFD, 0x7A, 0x6B, 0xB8 ),
2099 BYTES_TO_T_UINT_8( 0x40, 0x1E, 0x50, 0x1E, 0xAF, 0xB1, 0x25, 0x2D ),
2100 BYTES_TO_T_UINT_8( 0xC1, 0xE7, 0xD7, 0xD5, 0xBD, 0x7A, 0x12, 0xF9 ),
2101 BYTES_TO_T_UINT_8( 0x31, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
2102};
2103static const mbedtls_mpi_uint secp521r1_T_28_X[] = {
2104 BYTES_TO_T_UINT_8( 0x22, 0xAA, 0xA2, 0x80, 0x5D, 0x8F, 0xCD, 0xC8 ),
2105 BYTES_TO_T_UINT_8( 0x48, 0x39, 0x79, 0x64, 0xA1, 0x67, 0x3C, 0xB7 ),
2106 BYTES_TO_T_UINT_8( 0x3D, 0xC7, 0x49, 0xFF, 0x7F, 0xAC, 0xAB, 0x55 ),
2107 BYTES_TO_T_UINT_8( 0x81, 0x54, 0x3E, 0x83, 0xF0, 0x3D, 0xBC, 0xB5 ),
2108 BYTES_TO_T_UINT_8( 0x87, 0x92, 0x4A, 0x38, 0x42, 0x8A, 0xAB, 0xF6 ),
2109 BYTES_TO_T_UINT_8( 0xE7, 0x0B, 0x4F, 0xEE, 0x9E, 0x92, 0xA5, 0xBE ),
2110 BYTES_TO_T_UINT_8( 0xBA, 0xDD, 0x19, 0x96, 0xF2, 0xF0, 0x6B, 0x2E ),
2111 BYTES_TO_T_UINT_8( 0xBE, 0xFC, 0xDD, 0xB2, 0x8A, 0xE5, 0x4C, 0x22 ),
2112 BYTES_TO_T_UINT_8( 0xD4, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
2113};
2114static const mbedtls_mpi_uint secp521r1_T_28_Y[] = {
2115 BYTES_TO_T_UINT_8( 0xB7, 0x06, 0x49, 0xAC, 0x99, 0x7E, 0xF8, 0x12 ),
2116 BYTES_TO_T_UINT_8( 0x76, 0xC8, 0x01, 0x51, 0xEA, 0xF6, 0x52, 0xE7 ),
2117 BYTES_TO_T_UINT_8( 0x43, 0x89, 0x66, 0x2B, 0x1F, 0x9B, 0x2A, 0xA3 ),
2118 BYTES_TO_T_UINT_8( 0xDF, 0x0F, 0x95, 0x07, 0x2B, 0x6C, 0x6E, 0x9E ),
2119 BYTES_TO_T_UINT_8( 0x24, 0xC3, 0xB4, 0xBB, 0x91, 0x1F, 0xA3, 0x72 ),
2120 BYTES_TO_T_UINT_8( 0x5F, 0x6E, 0x54, 0x28, 0x7B, 0x9C, 0x79, 0x2E ),
2121 BYTES_TO_T_UINT_8( 0x03, 0x45, 0xFF, 0xA6, 0xDA, 0xA2, 0x83, 0x71 ),
2122 BYTES_TO_T_UINT_8( 0xEB, 0xDE, 0x8F, 0x17, 0x37, 0x82, 0xCB, 0xE2 ),
2123 BYTES_TO_T_UINT_8( 0x30, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
2124};
2125static const mbedtls_mpi_uint secp521r1_T_29_X[] = {
2126 BYTES_TO_T_UINT_8( 0xD8, 0x94, 0x3F, 0x26, 0xC9, 0x1D, 0xD9, 0xAE ),
2127 BYTES_TO_T_UINT_8( 0x09, 0x97, 0x28, 0x20, 0xCD, 0xC1, 0xF3, 0x40 ),
2128 BYTES_TO_T_UINT_8( 0x95, 0xC9, 0xB5, 0x60, 0x9B, 0x1E, 0xDC, 0x74 ),
2129 BYTES_TO_T_UINT_8( 0x5B, 0xB9, 0x5B, 0x7D, 0xA0, 0xB2, 0x8C, 0xF0 ),
2130 BYTES_TO_T_UINT_8( 0x33, 0xD1, 0x42, 0xE6, 0x39, 0x33, 0x6D, 0xBB ),
2131 BYTES_TO_T_UINT_8( 0x5D, 0xC0, 0xFC, 0xD2, 0x14, 0x5D, 0x3E, 0x3C ),
2132 BYTES_TO_T_UINT_8( 0x78, 0x4A, 0x3E, 0x40, 0x16, 0x93, 0x15, 0xCF ),
2133 BYTES_TO_T_UINT_8( 0xFA, 0x24, 0xC1, 0x27, 0x27, 0xE5, 0x4B, 0xD8 ),
2134 BYTES_TO_T_UINT_8( 0xD4, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
2135};
2136static const mbedtls_mpi_uint secp521r1_T_29_Y[] = {
2137 BYTES_TO_T_UINT_8( 0x1D, 0x50, 0xD8, 0xBC, 0xC1, 0x46, 0x22, 0xBB ),
2138 BYTES_TO_T_UINT_8( 0xAD, 0x0E, 0x60, 0xA1, 0xB3, 0x50, 0xD4, 0x86 ),
2139 BYTES_TO_T_UINT_8( 0x80, 0xB1, 0x26, 0xB6, 0x6D, 0x47, 0x5A, 0x6F ),
2140 BYTES_TO_T_UINT_8( 0x45, 0xAC, 0x11, 0x35, 0x3E, 0xB9, 0xF4, 0x01 ),
2141 BYTES_TO_T_UINT_8( 0x58, 0x97, 0xFA, 0xBB, 0x6B, 0x39, 0x13, 0xD8 ),
2142 BYTES_TO_T_UINT_8( 0x15, 0x7B, 0x34, 0x12, 0x75, 0x8E, 0x9B, 0xC6 ),
2143 BYTES_TO_T_UINT_8( 0x2C, 0x9E, 0xCD, 0x29, 0xB6, 0xEF, 0x8D, 0x10 ),
2144 BYTES_TO_T_UINT_8( 0x47, 0xAC, 0xE9, 0x25, 0x27, 0xBB, 0x78, 0x47 ),
2145 BYTES_TO_T_UINT_8( 0x2F, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
2146};
2147static const mbedtls_mpi_uint secp521r1_T_30_X[] = {
2148 BYTES_TO_T_UINT_8( 0x30, 0x7A, 0xA8, 0xD3, 0xE3, 0x66, 0xE5, 0x66 ),
2149 BYTES_TO_T_UINT_8( 0x2F, 0x4C, 0xC4, 0x2C, 0x76, 0x81, 0x50, 0x32 ),
2150 BYTES_TO_T_UINT_8( 0xEE, 0x71, 0x08, 0xB8, 0x52, 0x7C, 0xAF, 0xDC ),
2151 BYTES_TO_T_UINT_8( 0x45, 0x59, 0x24, 0xDD, 0xFB, 0x2F, 0xD0, 0xDA ),
2152 BYTES_TO_T_UINT_8( 0xB7, 0xCD, 0x56, 0xE9, 0xAC, 0x91, 0xE6, 0xB9 ),
2153 BYTES_TO_T_UINT_8( 0xE5, 0x64, 0x20, 0xC6, 0x9F, 0xE4, 0xEF, 0xDF ),
2154 BYTES_TO_T_UINT_8( 0x6D, 0x2C, 0x8F, 0x8C, 0x97, 0xF6, 0x22, 0xC3 ),
2155 BYTES_TO_T_UINT_8( 0xAC, 0xF4, 0x88, 0xAA, 0xA8, 0xD7, 0xA5, 0x68 ),
2156 BYTES_TO_T_UINT_8( 0xDE, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
2157};
2158static const mbedtls_mpi_uint secp521r1_T_30_Y[] = {
2159 BYTES_TO_T_UINT_8( 0x21, 0x6C, 0xAE, 0x83, 0xB1, 0x55, 0x55, 0xEE ),
2160 BYTES_TO_T_UINT_8( 0xB0, 0x67, 0x84, 0x47, 0x7C, 0x83, 0x5C, 0x89 ),
2161 BYTES_TO_T_UINT_8( 0x5B, 0x10, 0x4D, 0xDD, 0x30, 0x60, 0xB0, 0xE6 ),
2162 BYTES_TO_T_UINT_8( 0x59, 0xA7, 0x36, 0x76, 0x24, 0x32, 0x9F, 0x9D ),
2163 BYTES_TO_T_UINT_8( 0xDD, 0x42, 0x81, 0xFB, 0xA4, 0x2E, 0x13, 0x68 ),
2164 BYTES_TO_T_UINT_8( 0x87, 0x94, 0x91, 0xFF, 0x99, 0xA0, 0x09, 0x61 ),
2165 BYTES_TO_T_UINT_8( 0x5D, 0x83, 0xA1, 0x76, 0xAF, 0x37, 0x5C, 0x77 ),
2166 BYTES_TO_T_UINT_8( 0x1E, 0xA8, 0x04, 0x86, 0xC4, 0xA9, 0x79, 0x42 ),
2167 BYTES_TO_T_UINT_8( 0x93, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
2168};
2169static const mbedtls_mpi_uint secp521r1_T_31_X[] = {
2170 BYTES_TO_T_UINT_8( 0xB6, 0x8C, 0xC2, 0x34, 0xFB, 0x83, 0x28, 0x27 ),
2171 BYTES_TO_T_UINT_8( 0xA4, 0x03, 0x7D, 0x5E, 0x9E, 0x0E, 0xB0, 0x22 ),
2172 BYTES_TO_T_UINT_8( 0xA2, 0x02, 0x46, 0x7F, 0xB9, 0xAC, 0xBB, 0x23 ),
2173 BYTES_TO_T_UINT_8( 0x06, 0xED, 0x48, 0xC2, 0x96, 0x4D, 0x56, 0x27 ),
2174 BYTES_TO_T_UINT_8( 0x44, 0xB5, 0xC5, 0xD1, 0xE6, 0x1C, 0x7E, 0x9B ),
2175 BYTES_TO_T_UINT_8( 0x92, 0x2E, 0x18, 0x71, 0x2D, 0x7B, 0xD7, 0xB3 ),
2176 BYTES_TO_T_UINT_8( 0xAB, 0x46, 0x9D, 0xDE, 0xAA, 0x78, 0x8E, 0xB1 ),
2177 BYTES_TO_T_UINT_8( 0x4D, 0xD7, 0x69, 0x2E, 0xE1, 0xD9, 0x48, 0xDE ),
2178 BYTES_TO_T_UINT_8( 0xFB, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
2179};
2180static const mbedtls_mpi_uint secp521r1_T_31_Y[] = {
2181 BYTES_TO_T_UINT_8( 0xAF, 0xFF, 0x9E, 0x09, 0x22, 0x22, 0xE6, 0x8D ),
2182 BYTES_TO_T_UINT_8( 0x6C, 0x14, 0x28, 0x13, 0x1B, 0x62, 0x12, 0x22 ),
2183 BYTES_TO_T_UINT_8( 0xCC, 0x7F, 0x67, 0x03, 0xB0, 0xC0, 0xF3, 0x05 ),
2184 BYTES_TO_T_UINT_8( 0xC0, 0xC3, 0x0F, 0xFB, 0x25, 0x48, 0x3E, 0xF4 ),
2185 BYTES_TO_T_UINT_8( 0x0B, 0x6E, 0x53, 0x98, 0x36, 0xB3, 0xD3, 0x94 ),
2186 BYTES_TO_T_UINT_8( 0xEB, 0x81, 0x54, 0x22, 0xA4, 0xCC, 0xC1, 0x22 ),
2187 BYTES_TO_T_UINT_8( 0xF5, 0xBA, 0xFC, 0xA9, 0xDF, 0x68, 0x86, 0x2B ),
2188 BYTES_TO_T_UINT_8( 0x71, 0x92, 0x0E, 0xC3, 0xF2, 0x58, 0xE8, 0x51 ),
2189 BYTES_TO_T_UINT_8( 0xE9, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
2190};
2191static const mbedtls_ecp_point secp521r1_T[32] = {
2192 ECP_POINT_INIT_XY_Z1(secp521r1_T_0_X, secp521r1_T_0_Y),
2193 ECP_POINT_INIT_XY_Z0(secp521r1_T_1_X, secp521r1_T_1_Y),
2194 ECP_POINT_INIT_XY_Z0(secp521r1_T_2_X, secp521r1_T_2_Y),
2195 ECP_POINT_INIT_XY_Z0(secp521r1_T_3_X, secp521r1_T_3_Y),
2196 ECP_POINT_INIT_XY_Z0(secp521r1_T_4_X, secp521r1_T_4_Y),
2197 ECP_POINT_INIT_XY_Z0(secp521r1_T_5_X, secp521r1_T_5_Y),
2198 ECP_POINT_INIT_XY_Z0(secp521r1_T_6_X, secp521r1_T_6_Y),
2199 ECP_POINT_INIT_XY_Z0(secp521r1_T_7_X, secp521r1_T_7_Y),
2200 ECP_POINT_INIT_XY_Z0(secp521r1_T_8_X, secp521r1_T_8_Y),
2201 ECP_POINT_INIT_XY_Z0(secp521r1_T_9_X, secp521r1_T_9_Y),
2202 ECP_POINT_INIT_XY_Z0(secp521r1_T_10_X, secp521r1_T_10_Y),
2203 ECP_POINT_INIT_XY_Z0(secp521r1_T_11_X, secp521r1_T_11_Y),
2204 ECP_POINT_INIT_XY_Z0(secp521r1_T_12_X, secp521r1_T_12_Y),
2205 ECP_POINT_INIT_XY_Z0(secp521r1_T_13_X, secp521r1_T_13_Y),
2206 ECP_POINT_INIT_XY_Z0(secp521r1_T_14_X, secp521r1_T_14_Y),
2207 ECP_POINT_INIT_XY_Z0(secp521r1_T_15_X, secp521r1_T_15_Y),
2208 ECP_POINT_INIT_XY_Z0(secp521r1_T_16_X, secp521r1_T_16_Y),
2209 ECP_POINT_INIT_XY_Z0(secp521r1_T_17_X, secp521r1_T_17_Y),
2210 ECP_POINT_INIT_XY_Z0(secp521r1_T_18_X, secp521r1_T_18_Y),
2211 ECP_POINT_INIT_XY_Z0(secp521r1_T_19_X, secp521r1_T_19_Y),
2212 ECP_POINT_INIT_XY_Z0(secp521r1_T_20_X, secp521r1_T_20_Y),
2213 ECP_POINT_INIT_XY_Z0(secp521r1_T_21_X, secp521r1_T_21_Y),
2214 ECP_POINT_INIT_XY_Z0(secp521r1_T_22_X, secp521r1_T_22_Y),
2215 ECP_POINT_INIT_XY_Z0(secp521r1_T_23_X, secp521r1_T_23_Y),
2216 ECP_POINT_INIT_XY_Z0(secp521r1_T_24_X, secp521r1_T_24_Y),
2217 ECP_POINT_INIT_XY_Z0(secp521r1_T_25_X, secp521r1_T_25_Y),
2218 ECP_POINT_INIT_XY_Z0(secp521r1_T_26_X, secp521r1_T_26_Y),
2219 ECP_POINT_INIT_XY_Z0(secp521r1_T_27_X, secp521r1_T_27_Y),
2220 ECP_POINT_INIT_XY_Z0(secp521r1_T_28_X, secp521r1_T_28_Y),
2221 ECP_POINT_INIT_XY_Z0(secp521r1_T_29_X, secp521r1_T_29_Y),
2222 ECP_POINT_INIT_XY_Z0(secp521r1_T_30_X, secp521r1_T_30_Y),
2223 ECP_POINT_INIT_XY_Z0(secp521r1_T_31_X, secp521r1_T_31_Y),
2224};
2225#else
2226#define secp521r1_T NULL
2227#endif
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002228#endif /* MBEDTLS_ECP_DP_SECP521R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01002229
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002230#if defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED)
2231static const mbedtls_mpi_uint secp192k1_p[] = {
Manuel Pégourié-Gonnardea499a72014-01-11 15:58:47 +01002232 BYTES_TO_T_UINT_8( 0x37, 0xEE, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF ),
2233 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
2234 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
2235};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002236static const mbedtls_mpi_uint secp192k1_a[] = {
Manuel Pégourié-Gonnardea499a72014-01-11 15:58:47 +01002237 BYTES_TO_T_UINT_2( 0x00, 0x00 ),
2238};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002239static const mbedtls_mpi_uint secp192k1_b[] = {
Manuel Pégourié-Gonnardea499a72014-01-11 15:58:47 +01002240 BYTES_TO_T_UINT_2( 0x03, 0x00 ),
2241};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002242static const mbedtls_mpi_uint secp192k1_gx[] = {
Manuel Pégourié-Gonnardea499a72014-01-11 15:58:47 +01002243 BYTES_TO_T_UINT_8( 0x7D, 0x6C, 0xE0, 0xEA, 0xB1, 0xD1, 0xA5, 0x1D ),
2244 BYTES_TO_T_UINT_8( 0x34, 0xF4, 0xB7, 0x80, 0x02, 0x7D, 0xB0, 0x26 ),
2245 BYTES_TO_T_UINT_8( 0xAE, 0xE9, 0x57, 0xC0, 0x0E, 0xF1, 0x4F, 0xDB ),
2246};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002247static const mbedtls_mpi_uint secp192k1_gy[] = {
Manuel Pégourié-Gonnardea499a72014-01-11 15:58:47 +01002248 BYTES_TO_T_UINT_8( 0x9D, 0x2F, 0x5E, 0xD9, 0x88, 0xAA, 0x82, 0x40 ),
2249 BYTES_TO_T_UINT_8( 0x34, 0x86, 0xBE, 0x15, 0xD0, 0x63, 0x41, 0x84 ),
2250 BYTES_TO_T_UINT_8( 0xA7, 0x28, 0x56, 0x9C, 0x6D, 0x2F, 0x2F, 0x9B ),
2251};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002252static const mbedtls_mpi_uint secp192k1_n[] = {
Manuel Pégourié-Gonnardea499a72014-01-11 15:58:47 +01002253 BYTES_TO_T_UINT_8( 0x8D, 0xFD, 0xDE, 0x74, 0x6A, 0x46, 0x69, 0x0F ),
2254 BYTES_TO_T_UINT_8( 0x17, 0xFC, 0xF2, 0x26, 0xFE, 0xFF, 0xFF, 0xFF ),
2255 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
2256};
kXuanba9cb762021-04-08 14:32:06 +08002257
2258#if MBEDTLS_ECP_FIXED_POINT_OPTIM == 1
2259static const mbedtls_mpi_uint secp192k1_T_0_X[] = {
2260 BYTES_TO_T_UINT_8( 0x7D, 0x6C, 0xE0, 0xEA, 0xB1, 0xD1, 0xA5, 0x1D ),
2261 BYTES_TO_T_UINT_8( 0x34, 0xF4, 0xB7, 0x80, 0x02, 0x7D, 0xB0, 0x26 ),
2262 BYTES_TO_T_UINT_8( 0xAE, 0xE9, 0x57, 0xC0, 0x0E, 0xF1, 0x4F, 0xDB ),
2263};
2264static const mbedtls_mpi_uint secp192k1_T_0_Y[] = {
2265 BYTES_TO_T_UINT_8( 0x9D, 0x2F, 0x5E, 0xD9, 0x88, 0xAA, 0x82, 0x40 ),
2266 BYTES_TO_T_UINT_8( 0x34, 0x86, 0xBE, 0x15, 0xD0, 0x63, 0x41, 0x84 ),
2267 BYTES_TO_T_UINT_8( 0xA7, 0x28, 0x56, 0x9C, 0x6D, 0x2F, 0x2F, 0x9B ),
2268};
2269static const mbedtls_mpi_uint secp192k1_T_1_X[] = {
2270 BYTES_TO_T_UINT_8( 0x6F, 0x77, 0x3D, 0x0D, 0x85, 0x48, 0xA8, 0xA9 ),
2271 BYTES_TO_T_UINT_8( 0x62, 0x07, 0xDF, 0x1D, 0xB3, 0xB3, 0x01, 0x54 ),
2272 BYTES_TO_T_UINT_8( 0x05, 0x86, 0xF6, 0xAF, 0x19, 0x2A, 0x88, 0x2E ),
2273};
2274static const mbedtls_mpi_uint secp192k1_T_1_Y[] = {
2275 BYTES_TO_T_UINT_8( 0x33, 0x90, 0xB6, 0x2F, 0x48, 0x36, 0x4C, 0x5B ),
2276 BYTES_TO_T_UINT_8( 0xDB, 0x11, 0x14, 0xA6, 0xCB, 0xBA, 0x15, 0xD9 ),
2277 BYTES_TO_T_UINT_8( 0x7E, 0xB0, 0xF2, 0xD4, 0xC9, 0xDA, 0xBA, 0xD7 ),
2278};
2279static const mbedtls_mpi_uint secp192k1_T_2_X[] = {
2280 BYTES_TO_T_UINT_8( 0xE4, 0xC1, 0x9C, 0xE6, 0xBB, 0xFB, 0xCF, 0x23 ),
2281 BYTES_TO_T_UINT_8( 0x93, 0x19, 0xAC, 0x5A, 0xC9, 0x8A, 0x1C, 0x75 ),
2282 BYTES_TO_T_UINT_8( 0xC1, 0xF6, 0x76, 0x86, 0x89, 0x27, 0x8D, 0x28 ),
2283};
2284static const mbedtls_mpi_uint secp192k1_T_2_Y[] = {
2285 BYTES_TO_T_UINT_8( 0x4B, 0xE0, 0x6F, 0x34, 0xBA, 0x5E, 0xD3, 0x96 ),
2286 BYTES_TO_T_UINT_8( 0x6A, 0xDC, 0xA6, 0x87, 0xC9, 0x9D, 0xC0, 0x82 ),
2287 BYTES_TO_T_UINT_8( 0x09, 0x11, 0x7E, 0xD6, 0xF7, 0x33, 0xFC, 0xE4 ),
2288};
2289static const mbedtls_mpi_uint secp192k1_T_3_X[] = {
2290 BYTES_TO_T_UINT_8( 0xC2, 0x37, 0x3E, 0xC0, 0x7F, 0x62, 0xE7, 0x54 ),
2291 BYTES_TO_T_UINT_8( 0xA5, 0x3B, 0x69, 0x9D, 0x44, 0xBC, 0x82, 0x99 ),
2292 BYTES_TO_T_UINT_8( 0xD4, 0x84, 0xB3, 0x5F, 0x2B, 0xA5, 0x9E, 0x2C ),
2293};
2294static const mbedtls_mpi_uint secp192k1_T_3_Y[] = {
2295 BYTES_TO_T_UINT_8( 0x1D, 0x95, 0xEB, 0x4C, 0x04, 0xB4, 0xF4, 0x75 ),
2296 BYTES_TO_T_UINT_8( 0x55, 0xAD, 0x4B, 0xD5, 0x9A, 0xEB, 0xC4, 0x4E ),
2297 BYTES_TO_T_UINT_8( 0xC9, 0xB1, 0xC5, 0x59, 0xE3, 0xD5, 0x16, 0x2A ),
2298};
2299static const mbedtls_mpi_uint secp192k1_T_4_X[] = {
2300 BYTES_TO_T_UINT_8( 0x48, 0x2A, 0xCC, 0xAC, 0xD0, 0xEE, 0x50, 0xEC ),
2301 BYTES_TO_T_UINT_8( 0x99, 0x83, 0xE0, 0x5B, 0x14, 0x44, 0x52, 0x20 ),
2302 BYTES_TO_T_UINT_8( 0xD6, 0x15, 0x2D, 0x78, 0xF6, 0x51, 0x32, 0xCF ),
2303};
2304static const mbedtls_mpi_uint secp192k1_T_4_Y[] = {
2305 BYTES_TO_T_UINT_8( 0x86, 0x36, 0x9B, 0xDD, 0xF8, 0xDD, 0xEF, 0xB2 ),
2306 BYTES_TO_T_UINT_8( 0x0B, 0xB1, 0x6A, 0x2B, 0xAF, 0xEB, 0x2B, 0xB1 ),
2307 BYTES_TO_T_UINT_8( 0xC9, 0x87, 0x7A, 0x66, 0x5D, 0x5B, 0xDF, 0x8F ),
2308};
2309static const mbedtls_mpi_uint secp192k1_T_5_X[] = {
2310 BYTES_TO_T_UINT_8( 0x62, 0x45, 0xE5, 0x81, 0x9B, 0xEB, 0x37, 0x23 ),
2311 BYTES_TO_T_UINT_8( 0xB3, 0x29, 0xE2, 0x20, 0x64, 0x23, 0x6B, 0x6E ),
2312 BYTES_TO_T_UINT_8( 0xFE, 0x1D, 0x41, 0xE1, 0x9B, 0x61, 0x7B, 0xD9 ),
2313};
2314static const mbedtls_mpi_uint secp192k1_T_5_Y[] = {
2315 BYTES_TO_T_UINT_8( 0x75, 0x57, 0xA3, 0x0A, 0x13, 0xE4, 0x59, 0x15 ),
2316 BYTES_TO_T_UINT_8( 0x79, 0x6E, 0x4A, 0x48, 0x84, 0x90, 0xAC, 0xC7 ),
2317 BYTES_TO_T_UINT_8( 0x9C, 0xB8, 0xF5, 0xF3, 0xDE, 0xA0, 0xA1, 0x1D ),
2318};
2319static const mbedtls_mpi_uint secp192k1_T_6_X[] = {
2320 BYTES_TO_T_UINT_8( 0xA3, 0x32, 0x81, 0xA9, 0x91, 0x5A, 0x4E, 0x33 ),
2321 BYTES_TO_T_UINT_8( 0xCB, 0xA8, 0x90, 0xBE, 0x0F, 0xEC, 0xC0, 0x85 ),
2322 BYTES_TO_T_UINT_8( 0x80, 0x30, 0xD7, 0x08, 0xAE, 0xC4, 0x3A, 0xA5 ),
2323};
2324static const mbedtls_mpi_uint secp192k1_T_6_Y[] = {
2325 BYTES_TO_T_UINT_8( 0xBC, 0x55, 0xE3, 0x76, 0xB3, 0x64, 0x74, 0x9F ),
2326 BYTES_TO_T_UINT_8( 0x3F, 0x75, 0xD4, 0xDB, 0x98, 0xD7, 0x39, 0xAE ),
2327 BYTES_TO_T_UINT_8( 0xD4, 0xEB, 0x8A, 0xAB, 0x16, 0xD9, 0xD4, 0x0B ),
2328};
2329static const mbedtls_mpi_uint secp192k1_T_7_X[] = {
2330 BYTES_TO_T_UINT_8( 0x41, 0xBE, 0xF9, 0xC7, 0xC7, 0xBA, 0xF3, 0xA1 ),
2331 BYTES_TO_T_UINT_8( 0xC2, 0x85, 0x59, 0xF3, 0x60, 0x41, 0x02, 0xD2 ),
2332 BYTES_TO_T_UINT_8( 0x46, 0x1C, 0x4A, 0xA4, 0xC7, 0xED, 0x66, 0xBC ),
2333};
2334static const mbedtls_mpi_uint secp192k1_T_7_Y[] = {
2335 BYTES_TO_T_UINT_8( 0xC3, 0x9C, 0x2E, 0x46, 0x52, 0x18, 0x87, 0x14 ),
2336 BYTES_TO_T_UINT_8( 0xFF, 0x35, 0x5A, 0x75, 0xAC, 0x4D, 0x75, 0x91 ),
2337 BYTES_TO_T_UINT_8( 0xCE, 0x2F, 0xAC, 0xFC, 0xBC, 0xE6, 0x93, 0x5E ),
2338};
2339static const mbedtls_mpi_uint secp192k1_T_8_X[] = {
2340 BYTES_TO_T_UINT_8( 0x87, 0x4D, 0xC9, 0x18, 0xE9, 0x00, 0xEB, 0x33 ),
2341 BYTES_TO_T_UINT_8( 0x1A, 0x69, 0x72, 0x07, 0x5A, 0x59, 0xA8, 0x26 ),
2342 BYTES_TO_T_UINT_8( 0xB6, 0x65, 0x83, 0x20, 0x10, 0xF9, 0x69, 0x82 ),
2343};
2344static const mbedtls_mpi_uint secp192k1_T_8_Y[] = {
2345 BYTES_TO_T_UINT_8( 0x8B, 0x56, 0x7F, 0x9F, 0xBF, 0x46, 0x0C, 0x7E ),
2346 BYTES_TO_T_UINT_8( 0xFC, 0xCF, 0xF0, 0xDC, 0xDF, 0x2D, 0xE6, 0xE5 ),
2347 BYTES_TO_T_UINT_8( 0x09, 0xF0, 0x72, 0x3A, 0x7A, 0x03, 0xE5, 0x22 ),
2348};
2349static const mbedtls_mpi_uint secp192k1_T_9_X[] = {
2350 BYTES_TO_T_UINT_8( 0x3E, 0xAA, 0x57, 0x13, 0x37, 0xA7, 0x2C, 0xD4 ),
2351 BYTES_TO_T_UINT_8( 0xA3, 0xAC, 0xA2, 0x23, 0xF9, 0x84, 0x60, 0xD3 ),
2352 BYTES_TO_T_UINT_8( 0x32, 0xEB, 0x51, 0x70, 0x64, 0x78, 0xCA, 0x05 ),
2353};
2354static const mbedtls_mpi_uint secp192k1_T_9_Y[] = {
2355 BYTES_TO_T_UINT_8( 0x91, 0xCC, 0x30, 0x62, 0x93, 0x46, 0x13, 0xE9 ),
2356 BYTES_TO_T_UINT_8( 0x21, 0x26, 0xCC, 0x6C, 0x3D, 0x5C, 0xDA, 0x2C ),
2357 BYTES_TO_T_UINT_8( 0xD5, 0xAA, 0xB8, 0x03, 0xA4, 0x1A, 0x00, 0x96 ),
2358};
2359static const mbedtls_mpi_uint secp192k1_T_10_X[] = {
2360 BYTES_TO_T_UINT_8( 0xF9, 0x9D, 0xE6, 0xCC, 0x4E, 0x2E, 0xC2, 0xD5 ),
2361 BYTES_TO_T_UINT_8( 0xB4, 0xC3, 0x8A, 0xAE, 0x6F, 0x40, 0x05, 0xEB ),
2362 BYTES_TO_T_UINT_8( 0x9D, 0x8F, 0x4A, 0x4D, 0x35, 0xD3, 0x50, 0x9D ),
2363};
2364static const mbedtls_mpi_uint secp192k1_T_10_Y[] = {
2365 BYTES_TO_T_UINT_8( 0x1F, 0xFD, 0x98, 0xAB, 0xC7, 0x03, 0xB4, 0x55 ),
2366 BYTES_TO_T_UINT_8( 0x40, 0x40, 0xD2, 0x9F, 0xCA, 0xD0, 0x53, 0x00 ),
2367 BYTES_TO_T_UINT_8( 0x1A, 0x84, 0x00, 0x6F, 0xC8, 0xAD, 0xED, 0x8D ),
2368};
2369static const mbedtls_mpi_uint secp192k1_T_11_X[] = {
2370 BYTES_TO_T_UINT_8( 0xCE, 0xD3, 0x57, 0xD7, 0xC3, 0x07, 0xBD, 0xD7 ),
2371 BYTES_TO_T_UINT_8( 0x67, 0xBA, 0x47, 0x1D, 0x3D, 0xEF, 0x98, 0x6C ),
2372 BYTES_TO_T_UINT_8( 0x6D, 0xC0, 0x6C, 0x7F, 0x12, 0xEE, 0x9F, 0x67 ),
2373};
2374static const mbedtls_mpi_uint secp192k1_T_11_Y[] = {
2375 BYTES_TO_T_UINT_8( 0xCA, 0x02, 0xDA, 0x79, 0xAA, 0xC9, 0x27, 0xC4 ),
2376 BYTES_TO_T_UINT_8( 0x21, 0x79, 0xC7, 0x71, 0x84, 0xCB, 0xE5, 0x5A ),
2377 BYTES_TO_T_UINT_8( 0x15, 0x37, 0x06, 0xBA, 0xB5, 0xD5, 0x18, 0x4C ),
2378};
2379static const mbedtls_mpi_uint secp192k1_T_12_X[] = {
2380 BYTES_TO_T_UINT_8( 0xA1, 0x65, 0x72, 0x6C, 0xF2, 0x63, 0x27, 0x6A ),
2381 BYTES_TO_T_UINT_8( 0x69, 0xBC, 0x71, 0xDF, 0x75, 0xF8, 0x98, 0x4D ),
2382 BYTES_TO_T_UINT_8( 0x70, 0x70, 0x9B, 0xDC, 0xE7, 0x18, 0x71, 0xFF ),
2383};
2384static const mbedtls_mpi_uint secp192k1_T_12_Y[] = {
2385 BYTES_TO_T_UINT_8( 0x15, 0x5B, 0x9F, 0x00, 0x5A, 0xB6, 0x80, 0x7A ),
2386 BYTES_TO_T_UINT_8( 0xB7, 0xE0, 0xBB, 0xFC, 0x5E, 0x78, 0x9C, 0x89 ),
2387 BYTES_TO_T_UINT_8( 0x60, 0x03, 0x68, 0x83, 0x3D, 0x2E, 0x4C, 0xDD ),
2388};
2389static const mbedtls_mpi_uint secp192k1_T_13_X[] = {
2390 BYTES_TO_T_UINT_8( 0x3B, 0x49, 0x23, 0xA8, 0xCB, 0x3B, 0x1A, 0xF6 ),
2391 BYTES_TO_T_UINT_8( 0x8B, 0x3D, 0xA7, 0x46, 0xCF, 0x75, 0xB6, 0x2C ),
2392 BYTES_TO_T_UINT_8( 0x92, 0xFD, 0x30, 0x01, 0xB6, 0xEF, 0xF9, 0xE8 ),
2393};
2394static const mbedtls_mpi_uint secp192k1_T_13_Y[] = {
2395 BYTES_TO_T_UINT_8( 0xDC, 0xFA, 0xDA, 0xB8, 0x29, 0x42, 0xC9, 0xC7 ),
2396 BYTES_TO_T_UINT_8( 0x06, 0xD7, 0xA0, 0xE6, 0x6B, 0x86, 0x61, 0x39 ),
2397 BYTES_TO_T_UINT_8( 0xDB, 0xE9, 0xD3, 0x37, 0xD8, 0xE7, 0x35, 0xA9 ),
2398};
2399static const mbedtls_mpi_uint secp192k1_T_14_X[] = {
2400 BYTES_TO_T_UINT_8( 0xFD, 0xC8, 0x8E, 0xB1, 0xCB, 0xB1, 0xB5, 0x4D ),
2401 BYTES_TO_T_UINT_8( 0x16, 0xD7, 0x46, 0x7D, 0xAF, 0xE2, 0xDC, 0xBB ),
2402 BYTES_TO_T_UINT_8( 0xD0, 0x46, 0xE7, 0xD8, 0x76, 0x31, 0x90, 0x76 ),
2403};
2404static const mbedtls_mpi_uint secp192k1_T_14_Y[] = {
2405 BYTES_TO_T_UINT_8( 0xEB, 0xD3, 0xF4, 0x74, 0xE1, 0x67, 0xD8, 0x66 ),
2406 BYTES_TO_T_UINT_8( 0xE7, 0x70, 0x3C, 0xC8, 0xAF, 0x5F, 0xF4, 0x58 ),
2407 BYTES_TO_T_UINT_8( 0x24, 0x4E, 0xED, 0x5C, 0x43, 0xB3, 0x16, 0x35 ),
2408};
2409static const mbedtls_mpi_uint secp192k1_T_15_X[] = {
2410 BYTES_TO_T_UINT_8( 0x57, 0xAE, 0xD1, 0xDD, 0x31, 0x14, 0xD3, 0xF0 ),
2411 BYTES_TO_T_UINT_8( 0xE8, 0x14, 0x06, 0x13, 0x12, 0x1C, 0x81, 0xF5 ),
2412 BYTES_TO_T_UINT_8( 0xA6, 0xF9, 0x0C, 0x91, 0xF7, 0x67, 0x59, 0x63 ),
2413};
2414static const mbedtls_mpi_uint secp192k1_T_15_Y[] = {
2415 BYTES_TO_T_UINT_8( 0xAB, 0x91, 0xE2, 0xF4, 0x9D, 0xEB, 0x88, 0x87 ),
2416 BYTES_TO_T_UINT_8( 0xDB, 0x82, 0x30, 0x9C, 0xAE, 0x18, 0x4D, 0xB7 ),
2417 BYTES_TO_T_UINT_8( 0x3C, 0x79, 0xCF, 0x17, 0xA5, 0x1E, 0xE8, 0xC8 ),
2418};
2419static const mbedtls_ecp_point secp192k1_T[16] = {
2420 ECP_POINT_INIT_XY_Z1(secp192k1_T_0_X, secp192k1_T_0_Y),
2421 ECP_POINT_INIT_XY_Z0(secp192k1_T_1_X, secp192k1_T_1_Y),
2422 ECP_POINT_INIT_XY_Z0(secp192k1_T_2_X, secp192k1_T_2_Y),
2423 ECP_POINT_INIT_XY_Z0(secp192k1_T_3_X, secp192k1_T_3_Y),
2424 ECP_POINT_INIT_XY_Z0(secp192k1_T_4_X, secp192k1_T_4_Y),
2425 ECP_POINT_INIT_XY_Z0(secp192k1_T_5_X, secp192k1_T_5_Y),
2426 ECP_POINT_INIT_XY_Z0(secp192k1_T_6_X, secp192k1_T_6_Y),
2427 ECP_POINT_INIT_XY_Z0(secp192k1_T_7_X, secp192k1_T_7_Y),
2428 ECP_POINT_INIT_XY_Z0(secp192k1_T_8_X, secp192k1_T_8_Y),
2429 ECP_POINT_INIT_XY_Z0(secp192k1_T_9_X, secp192k1_T_9_Y),
2430 ECP_POINT_INIT_XY_Z0(secp192k1_T_10_X, secp192k1_T_10_Y),
2431 ECP_POINT_INIT_XY_Z0(secp192k1_T_11_X, secp192k1_T_11_Y),
2432 ECP_POINT_INIT_XY_Z0(secp192k1_T_12_X, secp192k1_T_12_Y),
2433 ECP_POINT_INIT_XY_Z0(secp192k1_T_13_X, secp192k1_T_13_Y),
2434 ECP_POINT_INIT_XY_Z0(secp192k1_T_14_X, secp192k1_T_14_Y),
2435 ECP_POINT_INIT_XY_Z0(secp192k1_T_15_X, secp192k1_T_15_Y),
2436};
2437#else
2438#define secp192k1_T NULL
2439#endif
2440
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002441#endif /* MBEDTLS_ECP_DP_SECP192K1_ENABLED */
Manuel Pégourié-Gonnardea499a72014-01-11 15:58:47 +01002442
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002443#if defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
2444static const mbedtls_mpi_uint secp224k1_p[] = {
Manuel Pégourié-Gonnard18e3ec92014-01-11 15:22:07 +01002445 BYTES_TO_T_UINT_8( 0x6D, 0xE5, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF ),
2446 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
2447 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
2448 BYTES_TO_T_UINT_4( 0xFF, 0xFF, 0xFF, 0xFF ),
2449};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002450static const mbedtls_mpi_uint secp224k1_a[] = {
Manuel Pégourié-Gonnard18e3ec92014-01-11 15:22:07 +01002451 BYTES_TO_T_UINT_2( 0x00, 0x00 ),
2452};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002453static const mbedtls_mpi_uint secp224k1_b[] = {
Manuel Pégourié-Gonnard18e3ec92014-01-11 15:22:07 +01002454 BYTES_TO_T_UINT_2( 0x05, 0x00 ),
2455};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002456static const mbedtls_mpi_uint secp224k1_gx[] = {
Manuel Pégourié-Gonnard18e3ec92014-01-11 15:22:07 +01002457 BYTES_TO_T_UINT_8( 0x5C, 0xA4, 0xB7, 0xB6, 0x0E, 0x65, 0x7E, 0x0F ),
2458 BYTES_TO_T_UINT_8( 0xA9, 0x75, 0x70, 0xE4, 0xE9, 0x67, 0xA4, 0x69 ),
2459 BYTES_TO_T_UINT_8( 0xA1, 0x28, 0xFC, 0x30, 0xDF, 0x99, 0xF0, 0x4D ),
2460 BYTES_TO_T_UINT_4( 0x33, 0x5B, 0x45, 0xA1 ),
2461};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002462static const mbedtls_mpi_uint secp224k1_gy[] = {
Manuel Pégourié-Gonnard18e3ec92014-01-11 15:22:07 +01002463 BYTES_TO_T_UINT_8( 0xA5, 0x61, 0x6D, 0x55, 0xDB, 0x4B, 0xCA, 0xE2 ),
2464 BYTES_TO_T_UINT_8( 0x59, 0xBD, 0xB0, 0xC0, 0xF7, 0x19, 0xE3, 0xF7 ),
2465 BYTES_TO_T_UINT_8( 0xD6, 0xFB, 0xCA, 0x82, 0x42, 0x34, 0xBA, 0x7F ),
2466 BYTES_TO_T_UINT_4( 0xED, 0x9F, 0x08, 0x7E ),
2467};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002468static const mbedtls_mpi_uint secp224k1_n[] = {
Manuel Pégourié-Gonnard18e3ec92014-01-11 15:22:07 +01002469 BYTES_TO_T_UINT_8( 0xF7, 0xB1, 0x9F, 0x76, 0x71, 0xA9, 0xF0, 0xCA ),
2470 BYTES_TO_T_UINT_8( 0x84, 0x61, 0xEC, 0xD2, 0xE8, 0xDC, 0x01, 0x00 ),
2471 BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
2472 BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00 ),
2473};
kXuanba9cb762021-04-08 14:32:06 +08002474
2475#if MBEDTLS_ECP_FIXED_POINT_OPTIM == 1
2476static const mbedtls_mpi_uint secp224k1_T_0_X[] = {
2477 BYTES_TO_T_UINT_8( 0x5C, 0xA4, 0xB7, 0xB6, 0x0E, 0x65, 0x7E, 0x0F ),
2478 BYTES_TO_T_UINT_8( 0xA9, 0x75, 0x70, 0xE4, 0xE9, 0x67, 0xA4, 0x69 ),
2479 BYTES_TO_T_UINT_8( 0xA1, 0x28, 0xFC, 0x30, 0xDF, 0x99, 0xF0, 0x4D ),
2480 BYTES_TO_T_UINT_8( 0x33, 0x5B, 0x45, 0xA1, 0x00, 0x00, 0x00, 0x00 ),
2481};
2482static const mbedtls_mpi_uint secp224k1_T_0_Y[] = {
2483 BYTES_TO_T_UINT_8( 0xA5, 0x61, 0x6D, 0x55, 0xDB, 0x4B, 0xCA, 0xE2 ),
2484 BYTES_TO_T_UINT_8( 0x59, 0xBD, 0xB0, 0xC0, 0xF7, 0x19, 0xE3, 0xF7 ),
2485 BYTES_TO_T_UINT_8( 0xD6, 0xFB, 0xCA, 0x82, 0x42, 0x34, 0xBA, 0x7F ),
2486 BYTES_TO_T_UINT_8( 0xED, 0x9F, 0x08, 0x7E, 0x00, 0x00, 0x00, 0x00 ),
2487};
2488static const mbedtls_mpi_uint secp224k1_T_1_X[] = {
2489 BYTES_TO_T_UINT_8( 0x99, 0x6C, 0x22, 0x22, 0x40, 0x89, 0xAE, 0x7A ),
2490 BYTES_TO_T_UINT_8( 0x2F, 0x92, 0xE1, 0x87, 0x56, 0x35, 0xAF, 0x9B ),
2491 BYTES_TO_T_UINT_8( 0x88, 0xAF, 0x08, 0x35, 0x27, 0xEA, 0x04, 0xED ),
2492 BYTES_TO_T_UINT_8( 0xF0, 0x53, 0xFD, 0xCF, 0x00, 0x00, 0x00, 0x00 ),
2493};
2494static const mbedtls_mpi_uint secp224k1_T_1_Y[] = {
2495 BYTES_TO_T_UINT_8( 0xC1, 0xD0, 0x9F, 0x8D, 0xF3, 0x63, 0x54, 0x30 ),
2496 BYTES_TO_T_UINT_8( 0x39, 0xDB, 0x0F, 0x61, 0x54, 0x26, 0xD1, 0x98 ),
2497 BYTES_TO_T_UINT_8( 0xF5, 0x21, 0xF7, 0x1B, 0xB5, 0x1D, 0xF6, 0x7E ),
2498 BYTES_TO_T_UINT_8( 0xFF, 0x05, 0xDA, 0x8F, 0x00, 0x00, 0x00, 0x00 ),
2499};
2500static const mbedtls_mpi_uint secp224k1_T_2_X[] = {
2501 BYTES_TO_T_UINT_8( 0x10, 0x26, 0x73, 0xBC, 0xE4, 0x29, 0x62, 0x56 ),
2502 BYTES_TO_T_UINT_8( 0x37, 0x95, 0x17, 0x8B, 0xC3, 0x9B, 0xAC, 0xCC ),
2503 BYTES_TO_T_UINT_8( 0xB1, 0xDB, 0x77, 0xDF, 0xDD, 0x13, 0x04, 0x98 ),
2504 BYTES_TO_T_UINT_8( 0x02, 0xFC, 0x22, 0x93, 0x00, 0x00, 0x00, 0x00 ),
2505};
2506static const mbedtls_mpi_uint secp224k1_T_2_Y[] = {
2507 BYTES_TO_T_UINT_8( 0xAC, 0x65, 0xF1, 0x5A, 0x37, 0xEF, 0x79, 0xAD ),
2508 BYTES_TO_T_UINT_8( 0x99, 0x01, 0x37, 0xAC, 0x9A, 0x5B, 0x51, 0x65 ),
2509 BYTES_TO_T_UINT_8( 0xFA, 0x75, 0x13, 0xA9, 0x4A, 0xAD, 0xFE, 0x9B ),
2510 BYTES_TO_T_UINT_8( 0x32, 0x82, 0x6F, 0x66, 0x00, 0x00, 0x00, 0x00 ),
2511};
2512static const mbedtls_mpi_uint secp224k1_T_3_X[] = {
2513 BYTES_TO_T_UINT_8( 0x4D, 0x5E, 0xF0, 0x40, 0xC3, 0xA6, 0xE2, 0x1E ),
2514 BYTES_TO_T_UINT_8( 0x34, 0x9A, 0x6F, 0xCF, 0x11, 0x26, 0x66, 0x85 ),
2515 BYTES_TO_T_UINT_8( 0x79, 0x73, 0xA8, 0xCF, 0x2B, 0x12, 0x36, 0x37 ),
2516 BYTES_TO_T_UINT_8( 0xB9, 0xB3, 0x0A, 0x58, 0x00, 0x00, 0x00, 0x00 ),
2517};
2518static const mbedtls_mpi_uint secp224k1_T_3_Y[] = {
2519 BYTES_TO_T_UINT_8( 0xD3, 0x79, 0x00, 0x55, 0x04, 0x34, 0x90, 0x1A ),
2520 BYTES_TO_T_UINT_8( 0x0A, 0x54, 0x1C, 0xC2, 0x45, 0x0C, 0x1B, 0x23 ),
2521 BYTES_TO_T_UINT_8( 0x86, 0x19, 0xAB, 0xA8, 0xFC, 0x73, 0xDC, 0xEE ),
2522 BYTES_TO_T_UINT_8( 0x72, 0xFB, 0x93, 0xCE, 0x00, 0x00, 0x00, 0x00 ),
2523};
2524static const mbedtls_mpi_uint secp224k1_T_4_X[] = {
2525 BYTES_TO_T_UINT_8( 0xF8, 0x75, 0xD0, 0x66, 0x95, 0x86, 0xCA, 0x66 ),
2526 BYTES_TO_T_UINT_8( 0x17, 0xEA, 0x29, 0x16, 0x6A, 0x38, 0xDF, 0x41 ),
2527 BYTES_TO_T_UINT_8( 0xD8, 0xA2, 0x36, 0x2F, 0xDC, 0xBB, 0x5E, 0xF7 ),
2528 BYTES_TO_T_UINT_8( 0xD4, 0x89, 0x59, 0x49, 0x00, 0x00, 0x00, 0x00 ),
2529};
2530static const mbedtls_mpi_uint secp224k1_T_4_Y[] = {
2531 BYTES_TO_T_UINT_8( 0xCA, 0xA3, 0x99, 0x9D, 0xB8, 0x77, 0x9D, 0x1D ),
2532 BYTES_TO_T_UINT_8( 0x0A, 0x93, 0x43, 0x47, 0xC6, 0x5C, 0xF9, 0xFD ),
2533 BYTES_TO_T_UINT_8( 0xAA, 0x00, 0x79, 0x42, 0x64, 0xB8, 0x25, 0x3E ),
2534 BYTES_TO_T_UINT_8( 0x29, 0x54, 0xB4, 0x33, 0x00, 0x00, 0x00, 0x00 ),
2535};
2536static const mbedtls_mpi_uint secp224k1_T_5_X[] = {
2537 BYTES_TO_T_UINT_8( 0xD9, 0x0C, 0x42, 0x90, 0x83, 0x0B, 0x31, 0x5F ),
2538 BYTES_TO_T_UINT_8( 0x54, 0x2E, 0xAE, 0xC8, 0xC7, 0x5F, 0xD2, 0x70 ),
2539 BYTES_TO_T_UINT_8( 0xA9, 0xBC, 0xAD, 0x41, 0xE7, 0x32, 0x3A, 0x81 ),
2540 BYTES_TO_T_UINT_8( 0x8A, 0x97, 0x52, 0x83, 0x00, 0x00, 0x00, 0x00 ),
2541};
2542static const mbedtls_mpi_uint secp224k1_T_5_Y[] = {
2543 BYTES_TO_T_UINT_8( 0x1A, 0x13, 0x7A, 0xBD, 0xAE, 0x94, 0x60, 0xFD ),
2544 BYTES_TO_T_UINT_8( 0x92, 0x9B, 0x95, 0xB4, 0x6E, 0x68, 0xB2, 0x1F ),
2545 BYTES_TO_T_UINT_8( 0x15, 0x49, 0xBE, 0x51, 0xFE, 0x66, 0x15, 0x74 ),
2546 BYTES_TO_T_UINT_8( 0xE6, 0x37, 0xE4, 0xFE, 0x00, 0x00, 0x00, 0x00 ),
2547};
2548static const mbedtls_mpi_uint secp224k1_T_6_X[] = {
2549 BYTES_TO_T_UINT_8( 0xF6, 0x9B, 0xEE, 0x64, 0xC9, 0x1B, 0xBD, 0x77 ),
2550 BYTES_TO_T_UINT_8( 0xDA, 0x5F, 0x34, 0xA9, 0x0B, 0xB7, 0x25, 0x52 ),
2551 BYTES_TO_T_UINT_8( 0x90, 0x13, 0xB1, 0x38, 0xFB, 0x9D, 0x78, 0xED ),
2552 BYTES_TO_T_UINT_8( 0x39, 0xE7, 0x1B, 0xFA, 0x00, 0x00, 0x00, 0x00 ),
2553};
2554static const mbedtls_mpi_uint secp224k1_T_6_Y[] = {
2555 BYTES_TO_T_UINT_8( 0xFB, 0xB3, 0xB7, 0x44, 0x92, 0x6B, 0x00, 0x82 ),
2556 BYTES_TO_T_UINT_8( 0x97, 0x82, 0x44, 0x3E, 0x18, 0x1A, 0x58, 0x6A ),
2557 BYTES_TO_T_UINT_8( 0x15, 0xF8, 0xC0, 0xE4, 0xEE, 0xC1, 0xBF, 0x44 ),
2558 BYTES_TO_T_UINT_8( 0x7E, 0x32, 0x27, 0xB2, 0x00, 0x00, 0x00, 0x00 ),
2559};
2560static const mbedtls_mpi_uint secp224k1_T_7_X[] = {
2561 BYTES_TO_T_UINT_8( 0xF4, 0x9A, 0x42, 0x62, 0x8B, 0x26, 0x54, 0x21 ),
2562 BYTES_TO_T_UINT_8( 0x24, 0x85, 0x74, 0xA0, 0x79, 0xA8, 0xEE, 0xBE ),
2563 BYTES_TO_T_UINT_8( 0x80, 0x36, 0x60, 0xB3, 0x28, 0x4D, 0x55, 0xBE ),
2564 BYTES_TO_T_UINT_8( 0x32, 0x27, 0x82, 0x29, 0x00, 0x00, 0x00, 0x00 ),
2565};
2566static const mbedtls_mpi_uint secp224k1_T_7_Y[] = {
2567 BYTES_TO_T_UINT_8( 0x0D, 0xFC, 0x73, 0x77, 0xAF, 0x5C, 0xAC, 0x78 ),
2568 BYTES_TO_T_UINT_8( 0xCC, 0xED, 0xE5, 0xF6, 0x1D, 0xA8, 0x67, 0x43 ),
2569 BYTES_TO_T_UINT_8( 0xF8, 0xDE, 0x33, 0x1C, 0xF1, 0x80, 0x73, 0xF8 ),
2570 BYTES_TO_T_UINT_8( 0x2A, 0xE2, 0xDE, 0x3C, 0x00, 0x00, 0x00, 0x00 ),
2571};
2572static const mbedtls_mpi_uint secp224k1_T_8_X[] = {
2573 BYTES_TO_T_UINT_8( 0x57, 0x3E, 0x6B, 0xFE, 0xF0, 0x04, 0x28, 0x01 ),
2574 BYTES_TO_T_UINT_8( 0xBB, 0xB2, 0x14, 0x9D, 0x18, 0x11, 0x7D, 0x9D ),
2575 BYTES_TO_T_UINT_8( 0x96, 0xC4, 0xD6, 0x2E, 0x6E, 0x57, 0x4D, 0xE1 ),
2576 BYTES_TO_T_UINT_8( 0xEA, 0x55, 0x1B, 0xDE, 0x00, 0x00, 0x00, 0x00 ),
2577};
2578static const mbedtls_mpi_uint secp224k1_T_8_Y[] = {
2579 BYTES_TO_T_UINT_8( 0x07, 0xF7, 0x17, 0xBC, 0x45, 0xAB, 0x16, 0xAB ),
2580 BYTES_TO_T_UINT_8( 0xCD, 0xB0, 0xEF, 0x61, 0xE3, 0x20, 0x7C, 0xF8 ),
2581 BYTES_TO_T_UINT_8( 0x6C, 0x85, 0x41, 0x4D, 0xF1, 0x7E, 0x4D, 0x41 ),
2582 BYTES_TO_T_UINT_8( 0x99, 0xC2, 0x9B, 0x5E, 0x00, 0x00, 0x00, 0x00 ),
2583};
2584static const mbedtls_mpi_uint secp224k1_T_9_X[] = {
2585 BYTES_TO_T_UINT_8( 0x70, 0x2E, 0x49, 0x3D, 0x3E, 0x4B, 0xD3, 0x32 ),
2586 BYTES_TO_T_UINT_8( 0xC8, 0x2B, 0x9D, 0xD5, 0x27, 0xFA, 0xCA, 0xE0 ),
2587 BYTES_TO_T_UINT_8( 0xB3, 0xB3, 0x6A, 0xE0, 0x79, 0x14, 0x28, 0x0F ),
2588 BYTES_TO_T_UINT_8( 0x6C, 0x1E, 0xDC, 0xF5, 0x00, 0x00, 0x00, 0x00 ),
2589};
2590static const mbedtls_mpi_uint secp224k1_T_9_Y[] = {
2591 BYTES_TO_T_UINT_8( 0xCA, 0x44, 0x56, 0xCD, 0xFC, 0x9F, 0x09, 0xFF ),
2592 BYTES_TO_T_UINT_8( 0x5C, 0x8C, 0x59, 0xA4, 0x64, 0x2A, 0x3A, 0xED ),
2593 BYTES_TO_T_UINT_8( 0x40, 0xA0, 0xB5, 0x86, 0x4E, 0x69, 0xDA, 0x06 ),
2594 BYTES_TO_T_UINT_8( 0x08, 0x8B, 0x11, 0x38, 0x00, 0x00, 0x00, 0x00 ),
2595};
2596static const mbedtls_mpi_uint secp224k1_T_10_X[] = {
2597 BYTES_TO_T_UINT_8( 0xA0, 0x17, 0x16, 0x12, 0x17, 0xDC, 0x00, 0x7E ),
2598 BYTES_TO_T_UINT_8( 0xE7, 0x76, 0x24, 0x6C, 0x97, 0x2C, 0xB5, 0xF9 ),
2599 BYTES_TO_T_UINT_8( 0x82, 0x71, 0xE3, 0xB0, 0xBB, 0x4E, 0x50, 0x52 ),
2600 BYTES_TO_T_UINT_8( 0x6E, 0x48, 0x26, 0xD5, 0x00, 0x00, 0x00, 0x00 ),
2601};
2602static const mbedtls_mpi_uint secp224k1_T_10_Y[] = {
2603 BYTES_TO_T_UINT_8( 0x06, 0x5F, 0x28, 0xF6, 0x01, 0x5A, 0x60, 0x41 ),
2604 BYTES_TO_T_UINT_8( 0xAE, 0x95, 0xFE, 0xD0, 0xAD, 0x15, 0xD4, 0xD9 ),
2605 BYTES_TO_T_UINT_8( 0xAD, 0x5B, 0x7A, 0xFD, 0x80, 0xF7, 0x9F, 0x64 ),
2606 BYTES_TO_T_UINT_8( 0x32, 0xBC, 0x1B, 0xDF, 0x00, 0x00, 0x00, 0x00 ),
2607};
2608static const mbedtls_mpi_uint secp224k1_T_11_X[] = {
2609 BYTES_TO_T_UINT_8( 0xBB, 0xE6, 0xDF, 0x14, 0x29, 0xF4, 0xD4, 0x14 ),
2610 BYTES_TO_T_UINT_8( 0xE5, 0x12, 0xDD, 0xEC, 0x5B, 0x8A, 0x59, 0xE5 ),
2611 BYTES_TO_T_UINT_8( 0x26, 0x92, 0x3E, 0x35, 0x08, 0xE9, 0xCF, 0x0E ),
2612 BYTES_TO_T_UINT_8( 0xE0, 0x35, 0x29, 0x97, 0x00, 0x00, 0x00, 0x00 ),
2613};
2614static const mbedtls_mpi_uint secp224k1_T_11_Y[] = {
2615 BYTES_TO_T_UINT_8( 0x11, 0xDB, 0xD6, 0x6A, 0xC5, 0x43, 0xA4, 0xA1 ),
2616 BYTES_TO_T_UINT_8( 0x61, 0x33, 0x50, 0x61, 0x70, 0xA1, 0xE9, 0xCE ),
2617 BYTES_TO_T_UINT_8( 0x15, 0x15, 0x6E, 0x5F, 0x01, 0x0C, 0x8C, 0xFA ),
2618 BYTES_TO_T_UINT_8( 0x85, 0xA1, 0x9A, 0x9D, 0x00, 0x00, 0x00, 0x00 ),
2619};
2620static const mbedtls_mpi_uint secp224k1_T_12_X[] = {
2621 BYTES_TO_T_UINT_8( 0x6E, 0xC6, 0xF7, 0xE2, 0x4A, 0xCD, 0x9B, 0x61 ),
2622 BYTES_TO_T_UINT_8( 0x34, 0x4D, 0x5A, 0xB8, 0xE2, 0x6D, 0xA6, 0x50 ),
2623 BYTES_TO_T_UINT_8( 0x32, 0x3F, 0xB6, 0x17, 0xE3, 0x2C, 0x6F, 0x65 ),
2624 BYTES_TO_T_UINT_8( 0x1E, 0xA4, 0x59, 0x51, 0x00, 0x00, 0x00, 0x00 ),
2625};
2626static const mbedtls_mpi_uint secp224k1_T_12_Y[] = {
2627 BYTES_TO_T_UINT_8( 0x77, 0x4F, 0x7C, 0x49, 0xCD, 0x6E, 0xEB, 0x3C ),
2628 BYTES_TO_T_UINT_8( 0x05, 0xC9, 0x1F, 0xB7, 0x4D, 0x98, 0xC7, 0x67 ),
2629 BYTES_TO_T_UINT_8( 0x4C, 0xFD, 0x98, 0x20, 0x95, 0xBB, 0x20, 0x3A ),
2630 BYTES_TO_T_UINT_8( 0xE0, 0xF2, 0x73, 0x92, 0x00, 0x00, 0x00, 0x00 ),
2631};
2632static const mbedtls_mpi_uint secp224k1_T_13_X[] = {
2633 BYTES_TO_T_UINT_8( 0xE2, 0xEF, 0xFB, 0x30, 0xFA, 0x12, 0x1A, 0xB0 ),
2634 BYTES_TO_T_UINT_8( 0x7A, 0x4C, 0x24, 0xB4, 0x5B, 0xC9, 0x4C, 0x0F ),
2635 BYTES_TO_T_UINT_8( 0x7A, 0xDD, 0x5E, 0x84, 0x95, 0x4D, 0x26, 0xED ),
2636 BYTES_TO_T_UINT_8( 0xE3, 0xFA, 0xF9, 0x3A, 0x00, 0x00, 0x00, 0x00 ),
2637};
2638static const mbedtls_mpi_uint secp224k1_T_13_Y[] = {
2639 BYTES_TO_T_UINT_8( 0x6A, 0xA3, 0x2E, 0x7A, 0xDC, 0xA7, 0x53, 0xA9 ),
2640 BYTES_TO_T_UINT_8( 0x7C, 0x9F, 0x81, 0x84, 0xB2, 0x0D, 0xFE, 0x31 ),
2641 BYTES_TO_T_UINT_8( 0x61, 0x89, 0x1B, 0x77, 0x0C, 0x89, 0x71, 0xEC ),
2642 BYTES_TO_T_UINT_8( 0xFA, 0xFF, 0x7F, 0xB2, 0x00, 0x00, 0x00, 0x00 ),
2643};
2644static const mbedtls_mpi_uint secp224k1_T_14_X[] = {
2645 BYTES_TO_T_UINT_8( 0x28, 0xE9, 0x2C, 0x79, 0xA6, 0x3C, 0xAD, 0x93 ),
2646 BYTES_TO_T_UINT_8( 0xD6, 0xE0, 0x23, 0x02, 0x86, 0x0F, 0x77, 0x2A ),
2647 BYTES_TO_T_UINT_8( 0x13, 0x93, 0x6D, 0xE9, 0xF9, 0x3C, 0xBE, 0xB9 ),
2648 BYTES_TO_T_UINT_8( 0x04, 0xE7, 0x24, 0x92, 0x00, 0x00, 0x00, 0x00 ),
2649};
2650static const mbedtls_mpi_uint secp224k1_T_14_Y[] = {
2651 BYTES_TO_T_UINT_8( 0xBB, 0x3C, 0x5B, 0x4B, 0x1B, 0x25, 0x37, 0xD6 ),
2652 BYTES_TO_T_UINT_8( 0xC9, 0xE8, 0x38, 0x1B, 0xA1, 0x5A, 0x2E, 0x68 ),
2653 BYTES_TO_T_UINT_8( 0x03, 0x19, 0xFD, 0xF4, 0x78, 0x01, 0x6B, 0x44 ),
2654 BYTES_TO_T_UINT_8( 0x0F, 0x69, 0x37, 0x4F, 0x00, 0x00, 0x00, 0x00 ),
2655};
2656static const mbedtls_mpi_uint secp224k1_T_15_X[] = {
2657 BYTES_TO_T_UINT_8( 0x1A, 0xE2, 0xBF, 0xD3, 0xEC, 0x95, 0x9C, 0x03 ),
2658 BYTES_TO_T_UINT_8( 0xC2, 0x7B, 0xFC, 0xD5, 0xD3, 0x25, 0x5E, 0x0F ),
2659 BYTES_TO_T_UINT_8( 0x39, 0x55, 0x09, 0xA2, 0x58, 0x6A, 0xC9, 0xFF ),
2660 BYTES_TO_T_UINT_8( 0x80, 0xCC, 0x3B, 0xD9, 0x00, 0x00, 0x00, 0x00 ),
2661};
2662static const mbedtls_mpi_uint secp224k1_T_15_Y[] = {
2663 BYTES_TO_T_UINT_8( 0x8F, 0x08, 0x65, 0x5E, 0xCB, 0xAB, 0x48, 0xC8 ),
2664 BYTES_TO_T_UINT_8( 0xEE, 0x79, 0x8B, 0xC0, 0x11, 0xC0, 0x69, 0x38 ),
2665 BYTES_TO_T_UINT_8( 0xE6, 0xE8, 0x8C, 0x4C, 0xC5, 0x28, 0xE4, 0xAE ),
2666 BYTES_TO_T_UINT_8( 0xA5, 0x1F, 0x34, 0x5C, 0x00, 0x00, 0x00, 0x00 ),
2667};
2668static const mbedtls_ecp_point secp224k1_T[16] = {
2669 ECP_POINT_INIT_XY_Z1(secp224k1_T_0_X, secp224k1_T_0_Y),
2670 ECP_POINT_INIT_XY_Z0(secp224k1_T_1_X, secp224k1_T_1_Y),
2671 ECP_POINT_INIT_XY_Z0(secp224k1_T_2_X, secp224k1_T_2_Y),
2672 ECP_POINT_INIT_XY_Z0(secp224k1_T_3_X, secp224k1_T_3_Y),
2673 ECP_POINT_INIT_XY_Z0(secp224k1_T_4_X, secp224k1_T_4_Y),
2674 ECP_POINT_INIT_XY_Z0(secp224k1_T_5_X, secp224k1_T_5_Y),
2675 ECP_POINT_INIT_XY_Z0(secp224k1_T_6_X, secp224k1_T_6_Y),
2676 ECP_POINT_INIT_XY_Z0(secp224k1_T_7_X, secp224k1_T_7_Y),
2677 ECP_POINT_INIT_XY_Z0(secp224k1_T_8_X, secp224k1_T_8_Y),
2678 ECP_POINT_INIT_XY_Z0(secp224k1_T_9_X, secp224k1_T_9_Y),
2679 ECP_POINT_INIT_XY_Z0(secp224k1_T_10_X, secp224k1_T_10_Y),
2680 ECP_POINT_INIT_XY_Z0(secp224k1_T_11_X, secp224k1_T_11_Y),
2681 ECP_POINT_INIT_XY_Z0(secp224k1_T_12_X, secp224k1_T_12_Y),
2682 ECP_POINT_INIT_XY_Z0(secp224k1_T_13_X, secp224k1_T_13_Y),
2683 ECP_POINT_INIT_XY_Z0(secp224k1_T_14_X, secp224k1_T_14_Y),
2684 ECP_POINT_INIT_XY_Z0(secp224k1_T_15_X, secp224k1_T_15_Y),
2685};
2686#else
2687#define secp224k1_T NULL
2688#endif
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002689#endif /* MBEDTLS_ECP_DP_SECP224K1_ENABLED */
Manuel Pégourié-Gonnard18e3ec92014-01-11 15:22:07 +01002690
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002691#if defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
2692static const mbedtls_mpi_uint secp256k1_p[] = {
Manuel Pégourié-Gonnardf51c8fc2014-01-10 18:17:18 +01002693 BYTES_TO_T_UINT_8( 0x2F, 0xFC, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF ),
2694 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
2695 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
2696 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
2697};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002698static const mbedtls_mpi_uint secp256k1_a[] = {
Manuel Pégourié-Gonnardf51c8fc2014-01-10 18:17:18 +01002699 BYTES_TO_T_UINT_2( 0x00, 0x00 ),
2700};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002701static const mbedtls_mpi_uint secp256k1_b[] = {
Manuel Pégourié-Gonnardf51c8fc2014-01-10 18:17:18 +01002702 BYTES_TO_T_UINT_2( 0x07, 0x00 ),
2703};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002704static const mbedtls_mpi_uint secp256k1_gx[] = {
Manuel Pégourié-Gonnardf51c8fc2014-01-10 18:17:18 +01002705 BYTES_TO_T_UINT_8( 0x98, 0x17, 0xF8, 0x16, 0x5B, 0x81, 0xF2, 0x59 ),
2706 BYTES_TO_T_UINT_8( 0xD9, 0x28, 0xCE, 0x2D, 0xDB, 0xFC, 0x9B, 0x02 ),
2707 BYTES_TO_T_UINT_8( 0x07, 0x0B, 0x87, 0xCE, 0x95, 0x62, 0xA0, 0x55 ),
2708 BYTES_TO_T_UINT_8( 0xAC, 0xBB, 0xDC, 0xF9, 0x7E, 0x66, 0xBE, 0x79 ),
2709};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002710static const mbedtls_mpi_uint secp256k1_gy[] = {
Manuel Pégourié-Gonnardf51c8fc2014-01-10 18:17:18 +01002711 BYTES_TO_T_UINT_8( 0xB8, 0xD4, 0x10, 0xFB, 0x8F, 0xD0, 0x47, 0x9C ),
2712 BYTES_TO_T_UINT_8( 0x19, 0x54, 0x85, 0xA6, 0x48, 0xB4, 0x17, 0xFD ),
2713 BYTES_TO_T_UINT_8( 0xA8, 0x08, 0x11, 0x0E, 0xFC, 0xFB, 0xA4, 0x5D ),
2714 BYTES_TO_T_UINT_8( 0x65, 0xC4, 0xA3, 0x26, 0x77, 0xDA, 0x3A, 0x48 ),
2715};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002716static const mbedtls_mpi_uint secp256k1_n[] = {
Manuel Pégourié-Gonnardf51c8fc2014-01-10 18:17:18 +01002717 BYTES_TO_T_UINT_8( 0x41, 0x41, 0x36, 0xD0, 0x8C, 0x5E, 0xD2, 0xBF ),
2718 BYTES_TO_T_UINT_8( 0x3B, 0xA0, 0x48, 0xAF, 0xE6, 0xDC, 0xAE, 0xBA ),
2719 BYTES_TO_T_UINT_8( 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
2720 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
2721};
kXuanba9cb762021-04-08 14:32:06 +08002722
2723#if MBEDTLS_ECP_FIXED_POINT_OPTIM == 1
2724static const mbedtls_mpi_uint secp256k1_T_0_X[] = {
2725 BYTES_TO_T_UINT_8( 0x98, 0x17, 0xF8, 0x16, 0x5B, 0x81, 0xF2, 0x59 ),
2726 BYTES_TO_T_UINT_8( 0xD9, 0x28, 0xCE, 0x2D, 0xDB, 0xFC, 0x9B, 0x02 ),
2727 BYTES_TO_T_UINT_8( 0x07, 0x0B, 0x87, 0xCE, 0x95, 0x62, 0xA0, 0x55 ),
2728 BYTES_TO_T_UINT_8( 0xAC, 0xBB, 0xDC, 0xF9, 0x7E, 0x66, 0xBE, 0x79 ),
2729};
2730static const mbedtls_mpi_uint secp256k1_T_0_Y[] = {
2731 BYTES_TO_T_UINT_8( 0xB8, 0xD4, 0x10, 0xFB, 0x8F, 0xD0, 0x47, 0x9C ),
2732 BYTES_TO_T_UINT_8( 0x19, 0x54, 0x85, 0xA6, 0x48, 0xB4, 0x17, 0xFD ),
2733 BYTES_TO_T_UINT_8( 0xA8, 0x08, 0x11, 0x0E, 0xFC, 0xFB, 0xA4, 0x5D ),
2734 BYTES_TO_T_UINT_8( 0x65, 0xC4, 0xA3, 0x26, 0x77, 0xDA, 0x3A, 0x48 ),
2735};
2736static const mbedtls_mpi_uint secp256k1_T_1_X[] = {
2737 BYTES_TO_T_UINT_8( 0xE7, 0xEE, 0xD7, 0x1E, 0x67, 0x86, 0x32, 0x74 ),
2738 BYTES_TO_T_UINT_8( 0x23, 0x73, 0xB1, 0xA9, 0xD5, 0xCC, 0x27, 0x78 ),
2739 BYTES_TO_T_UINT_8( 0x1F, 0x0E, 0x11, 0x01, 0x71, 0xFE, 0x92, 0x73 ),
2740 BYTES_TO_T_UINT_8( 0xC6, 0x28, 0x63, 0x6D, 0x72, 0x09, 0xA6, 0xC0 ),
2741};
2742static const mbedtls_mpi_uint secp256k1_T_1_Y[] = {
2743 BYTES_TO_T_UINT_8( 0xCE, 0xE1, 0x69, 0xDC, 0x3E, 0x2C, 0x75, 0xC3 ),
2744 BYTES_TO_T_UINT_8( 0xE5, 0xB7, 0x3F, 0x30, 0x26, 0x3C, 0xDF, 0x8E ),
2745 BYTES_TO_T_UINT_8( 0x3D, 0xBE, 0xB9, 0x5D, 0x0E, 0xE8, 0x5E, 0x14 ),
2746 BYTES_TO_T_UINT_8( 0x01, 0xC3, 0x05, 0xD6, 0xB7, 0xD5, 0x24, 0xFC ),
2747};
2748static const mbedtls_mpi_uint secp256k1_T_2_X[] = {
2749 BYTES_TO_T_UINT_8( 0x13, 0xCF, 0x7B, 0xDC, 0xCD, 0xC3, 0x39, 0x9D ),
2750 BYTES_TO_T_UINT_8( 0x42, 0xDA, 0xB9, 0xE5, 0x64, 0xA7, 0x47, 0x91 ),
2751 BYTES_TO_T_UINT_8( 0x76, 0x46, 0xA8, 0x61, 0xF6, 0x23, 0xEB, 0x58 ),
2752 BYTES_TO_T_UINT_8( 0x5C, 0xC1, 0xFF, 0xE4, 0x55, 0xD5, 0xC2, 0xBF ),
2753};
2754static const mbedtls_mpi_uint secp256k1_T_2_Y[] = {
2755 BYTES_TO_T_UINT_8( 0xC9, 0xBE, 0xB9, 0x59, 0x24, 0x13, 0x4A, 0x2A ),
2756 BYTES_TO_T_UINT_8( 0x64, 0x45, 0x12, 0xDE, 0xBA, 0x4F, 0xEF, 0x56 ),
2757 BYTES_TO_T_UINT_8( 0xBE, 0x08, 0xBF, 0xC1, 0x66, 0xAA, 0x0A, 0xBC ),
2758 BYTES_TO_T_UINT_8( 0x36, 0xFE, 0x30, 0x55, 0x31, 0x86, 0xA7, 0xB4 ),
2759};
2760static const mbedtls_mpi_uint secp256k1_T_3_X[] = {
2761 BYTES_TO_T_UINT_8( 0x1D, 0xBF, 0x18, 0x81, 0x67, 0x27, 0x42, 0xBD ),
2762 BYTES_TO_T_UINT_8( 0x08, 0x05, 0x83, 0xA4, 0xDD, 0x57, 0xD3, 0x50 ),
2763 BYTES_TO_T_UINT_8( 0x20, 0x63, 0xAB, 0xE4, 0x90, 0x70, 0xD0, 0x7C ),
2764 BYTES_TO_T_UINT_8( 0x71, 0x5D, 0xFD, 0xA0, 0xEF, 0xCF, 0x1C, 0x54 ),
2765};
2766static const mbedtls_mpi_uint secp256k1_T_3_Y[] = {
2767 BYTES_TO_T_UINT_8( 0x13, 0x80, 0xE4, 0xF6, 0x09, 0xBC, 0x57, 0x90 ),
2768 BYTES_TO_T_UINT_8( 0x21, 0x9F, 0x6E, 0x88, 0x54, 0x6E, 0x51, 0xF2 ),
2769 BYTES_TO_T_UINT_8( 0xF5, 0x5F, 0x85, 0xFB, 0x84, 0x3E, 0x4A, 0xAA ),
2770 BYTES_TO_T_UINT_8( 0xA8, 0x19, 0xF5, 0x55, 0xC9, 0x07, 0xD8, 0xCE ),
2771};
2772static const mbedtls_mpi_uint secp256k1_T_4_X[] = {
2773 BYTES_TO_T_UINT_8( 0x1A, 0xB4, 0xC3, 0xD9, 0x5C, 0xA0, 0xD4, 0x90 ),
2774 BYTES_TO_T_UINT_8( 0x0D, 0x30, 0xAF, 0x59, 0x9B, 0xF8, 0x04, 0x85 ),
2775 BYTES_TO_T_UINT_8( 0x4D, 0xA6, 0xFD, 0x66, 0x7B, 0xC3, 0x39, 0x85 ),
2776 BYTES_TO_T_UINT_8( 0xE0, 0xBF, 0xF0, 0xC2, 0xE9, 0x71, 0xA4, 0x9E ),
2777};
2778static const mbedtls_mpi_uint secp256k1_T_4_Y[] = {
2779 BYTES_TO_T_UINT_8( 0x14, 0x2D, 0xB9, 0x88, 0x28, 0xF1, 0xBE, 0x78 ),
2780 BYTES_TO_T_UINT_8( 0x14, 0xF3, 0x1A, 0x0E, 0xB9, 0x01, 0x66, 0x34 ),
2781 BYTES_TO_T_UINT_8( 0x77, 0xA7, 0xA4, 0xF4, 0x05, 0xD0, 0xAA, 0x53 ),
2782 BYTES_TO_T_UINT_8( 0x00, 0x39, 0x1E, 0x47, 0xE5, 0x68, 0xC8, 0xC0 ),
2783};
2784static const mbedtls_mpi_uint secp256k1_T_5_X[] = {
2785 BYTES_TO_T_UINT_8( 0xDD, 0xB9, 0xFC, 0xE0, 0x33, 0x8A, 0x7D, 0x96 ),
2786 BYTES_TO_T_UINT_8( 0x4F, 0x93, 0xA5, 0x53, 0x55, 0x16, 0xB4, 0x6E ),
2787 BYTES_TO_T_UINT_8( 0xE9, 0x5F, 0xEA, 0x9B, 0x29, 0x52, 0x71, 0xDA ),
2788 BYTES_TO_T_UINT_8( 0xB2, 0xF0, 0x24, 0xB8, 0x7D, 0xB7, 0xA0, 0x9B ),
2789};
2790static const mbedtls_mpi_uint secp256k1_T_5_Y[] = {
2791 BYTES_TO_T_UINT_8( 0xC2, 0x00, 0x27, 0xB2, 0xDF, 0x73, 0xA2, 0xE0 ),
2792 BYTES_TO_T_UINT_8( 0x1D, 0x2E, 0x4D, 0x7C, 0xDE, 0x7A, 0x23, 0x32 ),
2793 BYTES_TO_T_UINT_8( 0xAC, 0x65, 0x60, 0xC7, 0x97, 0x1E, 0xA4, 0x22 ),
2794 BYTES_TO_T_UINT_8( 0xCD, 0x13, 0x5B, 0x77, 0x59, 0xCB, 0x36, 0xE1 ),
2795};
2796static const mbedtls_mpi_uint secp256k1_T_6_X[] = {
2797 BYTES_TO_T_UINT_8( 0x99, 0xBC, 0x9F, 0x9E, 0x2D, 0x53, 0x2A, 0xA8 ),
2798 BYTES_TO_T_UINT_8( 0x87, 0x5F, 0x64, 0x9F, 0x1A, 0x19, 0xE6, 0x77 ),
2799 BYTES_TO_T_UINT_8( 0x9E, 0x7B, 0x39, 0xD2, 0xDB, 0x85, 0x84, 0xD5 ),
2800 BYTES_TO_T_UINT_8( 0x83, 0xC7, 0x0D, 0x58, 0x6E, 0x3F, 0x52, 0x15 ),
2801};
2802static const mbedtls_mpi_uint secp256k1_T_6_Y[] = {
2803 BYTES_TO_T_UINT_8( 0x21, 0x68, 0x19, 0x0B, 0x68, 0xC9, 0x1E, 0xFB ),
2804 BYTES_TO_T_UINT_8( 0xD2, 0x4E, 0x21, 0x49, 0x3D, 0x55, 0xCC, 0x25 ),
2805 BYTES_TO_T_UINT_8( 0xF5, 0xF9, 0x25, 0x45, 0x54, 0x45, 0xB1, 0x0F ),
2806 BYTES_TO_T_UINT_8( 0xA9, 0xB3, 0xF7, 0xCD, 0x80, 0xA4, 0x04, 0x05 ),
2807};
2808static const mbedtls_mpi_uint secp256k1_T_7_X[] = {
2809 BYTES_TO_T_UINT_8( 0xD4, 0x1E, 0x88, 0xC4, 0xAA, 0x18, 0x7E, 0x45 ),
2810 BYTES_TO_T_UINT_8( 0x4B, 0xAC, 0xD9, 0xB2, 0xA1, 0xC0, 0x71, 0x5D ),
2811 BYTES_TO_T_UINT_8( 0xA9, 0xA2, 0xF1, 0x15, 0xA6, 0x5F, 0x6C, 0x86 ),
2812 BYTES_TO_T_UINT_8( 0x4F, 0x5B, 0x05, 0xBC, 0xB7, 0xC6, 0x4E, 0x72 ),
2813};
2814static const mbedtls_mpi_uint secp256k1_T_7_Y[] = {
2815 BYTES_TO_T_UINT_8( 0x1D, 0x80, 0xF8, 0x5C, 0x20, 0x2A, 0xE1, 0xE2 ),
2816 BYTES_TO_T_UINT_8( 0x7C, 0x48, 0x2E, 0x68, 0x82, 0x7F, 0xEB, 0x5F ),
2817 BYTES_TO_T_UINT_8( 0xA2, 0x3B, 0x25, 0xDB, 0x32, 0x4D, 0x88, 0x42 ),
2818 BYTES_TO_T_UINT_8( 0xEE, 0x6E, 0xA6, 0xB6, 0x6D, 0x62, 0x78, 0x22 ),
2819};
2820static const mbedtls_mpi_uint secp256k1_T_8_X[] = {
2821 BYTES_TO_T_UINT_8( 0x1F, 0x4D, 0x3E, 0x86, 0x58, 0xC3, 0xEB, 0xBA ),
2822 BYTES_TO_T_UINT_8( 0x1A, 0x89, 0x33, 0x18, 0x21, 0x1D, 0x9B, 0xE7 ),
2823 BYTES_TO_T_UINT_8( 0x0B, 0x9D, 0xFF, 0xC3, 0x79, 0xC1, 0x88, 0xF8 ),
2824 BYTES_TO_T_UINT_8( 0x28, 0xD4, 0x48, 0x53, 0xE8, 0xAD, 0x21, 0x16 ),
2825};
2826static const mbedtls_mpi_uint secp256k1_T_8_Y[] = {
2827 BYTES_TO_T_UINT_8( 0xF5, 0x7B, 0xDE, 0xCB, 0xD8, 0x39, 0x17, 0x7C ),
2828 BYTES_TO_T_UINT_8( 0xD3, 0xF3, 0x03, 0xF2, 0x5C, 0xBC, 0xC8, 0x8A ),
2829 BYTES_TO_T_UINT_8( 0x27, 0xAE, 0x4C, 0xB0, 0x16, 0xA4, 0x93, 0x86 ),
2830 BYTES_TO_T_UINT_8( 0x71, 0x8B, 0x6B, 0xDC, 0xD7, 0x9A, 0x3E, 0x7E ),
2831};
2832static const mbedtls_mpi_uint secp256k1_T_9_X[] = {
2833 BYTES_TO_T_UINT_8( 0xD6, 0x2D, 0x7A, 0xD2, 0x59, 0x05, 0xA2, 0x82 ),
2834 BYTES_TO_T_UINT_8( 0x57, 0x56, 0x09, 0x32, 0xF1, 0xE8, 0xE3, 0x72 ),
2835 BYTES_TO_T_UINT_8( 0x03, 0xCA, 0xE5, 0x2E, 0xF0, 0xFB, 0x18, 0x19 ),
2836 BYTES_TO_T_UINT_8( 0xBA, 0x85, 0xA9, 0x23, 0x15, 0x31, 0x1F, 0x0E ),
2837};
2838static const mbedtls_mpi_uint secp256k1_T_9_Y[] = {
2839 BYTES_TO_T_UINT_8( 0x76, 0xE5, 0xB1, 0x86, 0xB9, 0x6E, 0x8D, 0xD3 ),
2840 BYTES_TO_T_UINT_8( 0x6C, 0x77, 0xFC, 0xC9, 0xA3, 0x3F, 0x89, 0xD2 ),
2841 BYTES_TO_T_UINT_8( 0xDB, 0x6A, 0xDC, 0x25, 0xB0, 0xC7, 0x41, 0x54 ),
2842 BYTES_TO_T_UINT_8( 0x02, 0x11, 0x6B, 0xA6, 0x11, 0x62, 0xD4, 0x2D ),
2843};
2844static const mbedtls_mpi_uint secp256k1_T_10_X[] = {
2845 BYTES_TO_T_UINT_8( 0x19, 0x7D, 0x34, 0xB3, 0x20, 0x7F, 0x37, 0xAA ),
2846 BYTES_TO_T_UINT_8( 0xBD, 0xD4, 0x45, 0xE8, 0xC2, 0xE9, 0xC5, 0xEA ),
2847 BYTES_TO_T_UINT_8( 0x5A, 0x32, 0x3B, 0x25, 0x7E, 0x79, 0xAF, 0xE7 ),
2848 BYTES_TO_T_UINT_8( 0x3F, 0xE4, 0x54, 0x71, 0xBE, 0x35, 0x4E, 0xD0 ),
2849};
2850static const mbedtls_mpi_uint secp256k1_T_10_Y[] = {
2851 BYTES_TO_T_UINT_8( 0xB0, 0x94, 0xDD, 0x8F, 0xB5, 0xC2, 0xDD, 0x75 ),
2852 BYTES_TO_T_UINT_8( 0x07, 0x49, 0xE9, 0x1C, 0x2F, 0x08, 0x49, 0xC6 ),
2853 BYTES_TO_T_UINT_8( 0x77, 0xB6, 0x03, 0x88, 0x6F, 0xB8, 0x15, 0x67 ),
2854 BYTES_TO_T_UINT_8( 0xA4, 0xD3, 0x1C, 0xF3, 0xA5, 0xEB, 0x79, 0x01 ),
2855};
2856static const mbedtls_mpi_uint secp256k1_T_11_X[] = {
2857 BYTES_TO_T_UINT_8( 0x25, 0xF9, 0x43, 0x88, 0x89, 0x0D, 0x06, 0xEA ),
2858 BYTES_TO_T_UINT_8( 0x02, 0x2D, 0xF5, 0x98, 0x32, 0xF6, 0xB1, 0x05 ),
2859 BYTES_TO_T_UINT_8( 0x23, 0x73, 0x8F, 0x2B, 0x50, 0x27, 0x0A, 0xE7 ),
2860 BYTES_TO_T_UINT_8( 0xA7, 0xE3, 0xBD, 0x16, 0x05, 0xC8, 0x93, 0x12 ),
2861};
2862static const mbedtls_mpi_uint secp256k1_T_11_Y[] = {
2863 BYTES_TO_T_UINT_8( 0x0A, 0x6A, 0xF7, 0xE3, 0x3D, 0xDE, 0x5F, 0x2F ),
2864 BYTES_TO_T_UINT_8( 0x47, 0xA3, 0x9C, 0x22, 0x3C, 0x33, 0x36, 0x5D ),
2865 BYTES_TO_T_UINT_8( 0x20, 0x24, 0x4C, 0x69, 0x45, 0x78, 0x14, 0xAE ),
2866 BYTES_TO_T_UINT_8( 0x59, 0xF8, 0xD4, 0xBF, 0xB8, 0xC0, 0xA1, 0x25 ),
2867};
2868static const mbedtls_mpi_uint secp256k1_T_12_X[] = {
2869 BYTES_TO_T_UINT_8( 0x7E, 0x88, 0xE1, 0x91, 0x03, 0xEB, 0xB3, 0x2B ),
2870 BYTES_TO_T_UINT_8( 0x5C, 0x11, 0xA1, 0xEF, 0x14, 0x0D, 0xC4, 0x7D ),
2871 BYTES_TO_T_UINT_8( 0xFE, 0xD4, 0x0D, 0x1D, 0x96, 0x33, 0x5C, 0x19 ),
2872 BYTES_TO_T_UINT_8( 0x70, 0x45, 0x2A, 0x1A, 0xE6, 0x57, 0x04, 0x9B ),
2873};
2874static const mbedtls_mpi_uint secp256k1_T_12_Y[] = {
2875 BYTES_TO_T_UINT_8( 0x70, 0xB5, 0xA7, 0x80, 0xE9, 0x93, 0x97, 0x8D ),
2876 BYTES_TO_T_UINT_8( 0x5D, 0xB9, 0x7C, 0xA0, 0xC9, 0x57, 0x26, 0x43 ),
2877 BYTES_TO_T_UINT_8( 0x9E, 0xEF, 0x56, 0xDA, 0x66, 0xF6, 0x1B, 0x9A ),
2878 BYTES_TO_T_UINT_8( 0x1F, 0x89, 0x6B, 0x91, 0xE0, 0xA9, 0x65, 0x2B ),
2879};
2880static const mbedtls_mpi_uint secp256k1_T_13_X[] = {
2881 BYTES_TO_T_UINT_8( 0x91, 0x98, 0x96, 0x9B, 0x06, 0x7D, 0x5E, 0x5A ),
2882 BYTES_TO_T_UINT_8( 0x0A, 0xFA, 0xC1, 0x5F, 0x19, 0x37, 0x94, 0x9D ),
2883 BYTES_TO_T_UINT_8( 0xCF, 0xBE, 0x6B, 0x1A, 0x05, 0xE4, 0xBF, 0x9F ),
2884 BYTES_TO_T_UINT_8( 0x84, 0xCD, 0x5D, 0x35, 0xB4, 0x51, 0xF7, 0x64 ),
2885};
2886static const mbedtls_mpi_uint secp256k1_T_13_Y[] = {
2887 BYTES_TO_T_UINT_8( 0x6C, 0xEF, 0x96, 0xDB, 0xF2, 0x61, 0x63, 0x59 ),
2888 BYTES_TO_T_UINT_8( 0xCB, 0x04, 0x88, 0xC9, 0x9F, 0x1B, 0x94, 0xB9 ),
2889 BYTES_TO_T_UINT_8( 0xDB, 0x30, 0x79, 0x7E, 0x24, 0xE7, 0x5F, 0xB8 ),
2890 BYTES_TO_T_UINT_8( 0x3F, 0xB8, 0x90, 0xB7, 0x94, 0x25, 0xBB, 0x0F ),
2891};
2892static const mbedtls_mpi_uint secp256k1_T_14_X[] = {
2893 BYTES_TO_T_UINT_8( 0x62, 0x79, 0xEA, 0xAD, 0xC0, 0x6D, 0x18, 0x57 ),
2894 BYTES_TO_T_UINT_8( 0xE9, 0xA4, 0x58, 0x2A, 0x8D, 0x95, 0xB3, 0xE6 ),
2895 BYTES_TO_T_UINT_8( 0xC8, 0xC4, 0xC2, 0x12, 0x0D, 0x79, 0xE2, 0x2B ),
2896 BYTES_TO_T_UINT_8( 0x02, 0x6F, 0xBE, 0x97, 0x4D, 0xA4, 0x20, 0x07 ),
2897};
2898static const mbedtls_mpi_uint secp256k1_T_14_Y[] = {
2899 BYTES_TO_T_UINT_8( 0xCA, 0x31, 0x71, 0xC6, 0xA6, 0x91, 0xEB, 0x1F ),
2900 BYTES_TO_T_UINT_8( 0xB4, 0x9B, 0xA8, 0x4A, 0xE7, 0x77, 0xE1, 0xAA ),
2901 BYTES_TO_T_UINT_8( 0xA9, 0x06, 0xD3, 0x3D, 0x94, 0x30, 0xEF, 0x8C ),
2902 BYTES_TO_T_UINT_8( 0xE7, 0xDF, 0xCA, 0xFA, 0xF5, 0x28, 0xF8, 0xC9 ),
2903};
2904static const mbedtls_mpi_uint secp256k1_T_15_X[] = {
2905 BYTES_TO_T_UINT_8( 0xCC, 0xE1, 0x32, 0xFD, 0x3E, 0x81, 0xF8, 0x11 ),
2906 BYTES_TO_T_UINT_8( 0xCD, 0xF2, 0x4B, 0x1D, 0x19, 0xC9, 0x0F, 0xCC ),
2907 BYTES_TO_T_UINT_8( 0x59, 0xB1, 0x8A, 0x22, 0x8B, 0x05, 0x6B, 0x56 ),
2908 BYTES_TO_T_UINT_8( 0x35, 0x21, 0xEF, 0x30, 0xEC, 0x09, 0x2A, 0x89 ),
2909};
2910static const mbedtls_mpi_uint secp256k1_T_15_Y[] = {
2911 BYTES_TO_T_UINT_8( 0x15, 0x84, 0x4A, 0x46, 0x07, 0x6C, 0x3C, 0x4C ),
2912 BYTES_TO_T_UINT_8( 0xDD, 0x18, 0x3A, 0xF4, 0xCC, 0xF5, 0xB2, 0xF2 ),
2913 BYTES_TO_T_UINT_8( 0x4F, 0x8F, 0xCD, 0x0A, 0x9C, 0xF4, 0xBD, 0x95 ),
2914 BYTES_TO_T_UINT_8( 0x37, 0x89, 0x7F, 0x8A, 0xB1, 0x52, 0x3A, 0xAB ),
2915};
2916static const mbedtls_ecp_point secp256k1_T[16] = {
2917 ECP_POINT_INIT_XY_Z1(secp256k1_T_0_X, secp256k1_T_0_Y),
2918 ECP_POINT_INIT_XY_Z0(secp256k1_T_1_X, secp256k1_T_1_Y),
2919 ECP_POINT_INIT_XY_Z0(secp256k1_T_2_X, secp256k1_T_2_Y),
2920 ECP_POINT_INIT_XY_Z0(secp256k1_T_3_X, secp256k1_T_3_Y),
2921 ECP_POINT_INIT_XY_Z0(secp256k1_T_4_X, secp256k1_T_4_Y),
2922 ECP_POINT_INIT_XY_Z0(secp256k1_T_5_X, secp256k1_T_5_Y),
2923 ECP_POINT_INIT_XY_Z0(secp256k1_T_6_X, secp256k1_T_6_Y),
2924 ECP_POINT_INIT_XY_Z0(secp256k1_T_7_X, secp256k1_T_7_Y),
2925 ECP_POINT_INIT_XY_Z0(secp256k1_T_8_X, secp256k1_T_8_Y),
2926 ECP_POINT_INIT_XY_Z0(secp256k1_T_9_X, secp256k1_T_9_Y),
2927 ECP_POINT_INIT_XY_Z0(secp256k1_T_10_X, secp256k1_T_10_Y),
2928 ECP_POINT_INIT_XY_Z0(secp256k1_T_11_X, secp256k1_T_11_Y),
2929 ECP_POINT_INIT_XY_Z0(secp256k1_T_12_X, secp256k1_T_12_Y),
2930 ECP_POINT_INIT_XY_Z0(secp256k1_T_13_X, secp256k1_T_13_Y),
2931 ECP_POINT_INIT_XY_Z0(secp256k1_T_14_X, secp256k1_T_14_Y),
2932 ECP_POINT_INIT_XY_Z0(secp256k1_T_15_X, secp256k1_T_15_Y),
2933};
2934#else
2935#define secp256k1_T NULL
2936#endif
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002937#endif /* MBEDTLS_ECP_DP_SECP256K1_ENABLED */
Manuel Pégourié-Gonnardf51c8fc2014-01-10 18:17:18 +01002938
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01002939/*
2940 * Domain parameters for brainpoolP256r1 (RFC 5639 3.4)
2941 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002942#if defined(MBEDTLS_ECP_DP_BP256R1_ENABLED)
2943static const mbedtls_mpi_uint brainpoolP256r1_p[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +01002944 BYTES_TO_T_UINT_8( 0x77, 0x53, 0x6E, 0x1F, 0x1D, 0x48, 0x13, 0x20 ),
2945 BYTES_TO_T_UINT_8( 0x28, 0x20, 0x26, 0xD5, 0x23, 0xF6, 0x3B, 0x6E ),
2946 BYTES_TO_T_UINT_8( 0x72, 0x8D, 0x83, 0x9D, 0x90, 0x0A, 0x66, 0x3E ),
2947 BYTES_TO_T_UINT_8( 0xBC, 0xA9, 0xEE, 0xA1, 0xDB, 0x57, 0xFB, 0xA9 ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01002948};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002949static const mbedtls_mpi_uint brainpoolP256r1_a[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +01002950 BYTES_TO_T_UINT_8( 0xD9, 0xB5, 0x30, 0xF3, 0x44, 0x4B, 0x4A, 0xE9 ),
2951 BYTES_TO_T_UINT_8( 0x6C, 0x5C, 0xDC, 0x26, 0xC1, 0x55, 0x80, 0xFB ),
2952 BYTES_TO_T_UINT_8( 0xE7, 0xFF, 0x7A, 0x41, 0x30, 0x75, 0xF6, 0xEE ),
2953 BYTES_TO_T_UINT_8( 0x57, 0x30, 0x2C, 0xFC, 0x75, 0x09, 0x5A, 0x7D ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01002954};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002955static const mbedtls_mpi_uint brainpoolP256r1_b[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +01002956 BYTES_TO_T_UINT_8( 0xB6, 0x07, 0x8C, 0xFF, 0x18, 0xDC, 0xCC, 0x6B ),
2957 BYTES_TO_T_UINT_8( 0xCE, 0xE1, 0xF7, 0x5C, 0x29, 0x16, 0x84, 0x95 ),
2958 BYTES_TO_T_UINT_8( 0xBF, 0x7C, 0xD7, 0xBB, 0xD9, 0xB5, 0x30, 0xF3 ),
2959 BYTES_TO_T_UINT_8( 0x44, 0x4B, 0x4A, 0xE9, 0x6C, 0x5C, 0xDC, 0x26 ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01002960};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002961static const mbedtls_mpi_uint brainpoolP256r1_gx[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +01002962 BYTES_TO_T_UINT_8( 0x62, 0x32, 0xCE, 0x9A, 0xBD, 0x53, 0x44, 0x3A ),
2963 BYTES_TO_T_UINT_8( 0xC2, 0x23, 0xBD, 0xE3, 0xE1, 0x27, 0xDE, 0xB9 ),
2964 BYTES_TO_T_UINT_8( 0xAF, 0xB7, 0x81, 0xFC, 0x2F, 0x48, 0x4B, 0x2C ),
2965 BYTES_TO_T_UINT_8( 0xCB, 0x57, 0x7E, 0xCB, 0xB9, 0xAE, 0xD2, 0x8B ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01002966};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002967static const mbedtls_mpi_uint brainpoolP256r1_gy[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +01002968 BYTES_TO_T_UINT_8( 0x97, 0x69, 0x04, 0x2F, 0xC7, 0x54, 0x1D, 0x5C ),
2969 BYTES_TO_T_UINT_8( 0x54, 0x8E, 0xED, 0x2D, 0x13, 0x45, 0x77, 0xC2 ),
2970 BYTES_TO_T_UINT_8( 0xC9, 0x1D, 0x61, 0x14, 0x1A, 0x46, 0xF8, 0x97 ),
2971 BYTES_TO_T_UINT_8( 0xFD, 0xC4, 0xDA, 0xC3, 0x35, 0xF8, 0x7E, 0x54 ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01002972};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02002973static const mbedtls_mpi_uint brainpoolP256r1_n[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +01002974 BYTES_TO_T_UINT_8( 0xA7, 0x56, 0x48, 0x97, 0x82, 0x0E, 0x1E, 0x90 ),
2975 BYTES_TO_T_UINT_8( 0xF7, 0xA6, 0x61, 0xB5, 0xA3, 0x7A, 0x39, 0x8C ),
2976 BYTES_TO_T_UINT_8( 0x71, 0x8D, 0x83, 0x9D, 0x90, 0x0A, 0x66, 0x3E ),
2977 BYTES_TO_T_UINT_8( 0xBC, 0xA9, 0xEE, 0xA1, 0xDB, 0x57, 0xFB, 0xA9 ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01002978};
kXuanba9cb762021-04-08 14:32:06 +08002979
2980#if MBEDTLS_ECP_FIXED_POINT_OPTIM == 1
2981static const mbedtls_mpi_uint brainpoolP256r1_T_0_X[] = {
2982 BYTES_TO_T_UINT_8( 0x62, 0x32, 0xCE, 0x9A, 0xBD, 0x53, 0x44, 0x3A ),
2983 BYTES_TO_T_UINT_8( 0xC2, 0x23, 0xBD, 0xE3, 0xE1, 0x27, 0xDE, 0xB9 ),
2984 BYTES_TO_T_UINT_8( 0xAF, 0xB7, 0x81, 0xFC, 0x2F, 0x48, 0x4B, 0x2C ),
2985 BYTES_TO_T_UINT_8( 0xCB, 0x57, 0x7E, 0xCB, 0xB9, 0xAE, 0xD2, 0x8B ),
2986};
2987static const mbedtls_mpi_uint brainpoolP256r1_T_0_Y[] = {
2988 BYTES_TO_T_UINT_8( 0x97, 0x69, 0x04, 0x2F, 0xC7, 0x54, 0x1D, 0x5C ),
2989 BYTES_TO_T_UINT_8( 0x54, 0x8E, 0xED, 0x2D, 0x13, 0x45, 0x77, 0xC2 ),
2990 BYTES_TO_T_UINT_8( 0xC9, 0x1D, 0x61, 0x14, 0x1A, 0x46, 0xF8, 0x97 ),
2991 BYTES_TO_T_UINT_8( 0xFD, 0xC4, 0xDA, 0xC3, 0x35, 0xF8, 0x7E, 0x54 ),
2992};
2993static const mbedtls_mpi_uint brainpoolP256r1_T_1_X[] = {
2994 BYTES_TO_T_UINT_8( 0x3C, 0xA2, 0xED, 0x52, 0xC9, 0x8C, 0xE3, 0xA5 ),
2995 BYTES_TO_T_UINT_8( 0x72, 0xC9, 0xC4, 0x87, 0x3F, 0x93, 0x7A, 0xD1 ),
2996 BYTES_TO_T_UINT_8( 0x96, 0x12, 0x53, 0x61, 0x3E, 0x76, 0x08, 0xCB ),
2997 BYTES_TO_T_UINT_8( 0x09, 0x8C, 0x74, 0xF4, 0x08, 0xC3, 0x76, 0x80 ),
2998};
2999static const mbedtls_mpi_uint brainpoolP256r1_T_1_Y[] = {
3000 BYTES_TO_T_UINT_8( 0x05, 0xDD, 0x09, 0xA6, 0xED, 0xEE, 0xC4, 0x38 ),
3001 BYTES_TO_T_UINT_8( 0x74, 0xD9, 0xBE, 0x4B, 0xA5, 0xB7, 0x2B, 0x6E ),
3002 BYTES_TO_T_UINT_8( 0x42, 0x20, 0x12, 0xCA, 0x0A, 0x38, 0x24, 0xAB ),
3003 BYTES_TO_T_UINT_8( 0x00, 0x72, 0x71, 0x90, 0x7A, 0x2E, 0xB7, 0x23 ),
3004};
3005static const mbedtls_mpi_uint brainpoolP256r1_T_2_X[] = {
3006 BYTES_TO_T_UINT_8( 0x2C, 0x66, 0xA1, 0x93, 0x10, 0x2A, 0x51, 0x17 ),
3007 BYTES_TO_T_UINT_8( 0x88, 0x10, 0x11, 0x12, 0xBC, 0xB0, 0xB6, 0x93 ),
3008 BYTES_TO_T_UINT_8( 0x3C, 0x58, 0xD7, 0x0A, 0x84, 0x05, 0xA3, 0x9C ),
3009 BYTES_TO_T_UINT_8( 0xF7, 0x8E, 0x95, 0x61, 0xD3, 0x0B, 0xDF, 0x36 ),
3010};
3011static const mbedtls_mpi_uint brainpoolP256r1_T_2_Y[] = {
3012 BYTES_TO_T_UINT_8( 0xF9, 0x92, 0x12, 0x0F, 0x5E, 0x87, 0x70, 0x1B ),
3013 BYTES_TO_T_UINT_8( 0x38, 0xE9, 0x9B, 0xEB, 0x3A, 0xFB, 0xCF, 0xC4 ),
3014 BYTES_TO_T_UINT_8( 0xDC, 0x92, 0xB9, 0xF7, 0x45, 0xD3, 0x06, 0xB6 ),
3015 BYTES_TO_T_UINT_8( 0x82, 0x28, 0x65, 0xE1, 0xC5, 0x6C, 0x57, 0x18 ),
3016};
3017static const mbedtls_mpi_uint brainpoolP256r1_T_3_X[] = {
3018 BYTES_TO_T_UINT_8( 0x28, 0x0E, 0x77, 0x01, 0x81, 0x9E, 0x38, 0x5C ),
3019 BYTES_TO_T_UINT_8( 0x71, 0xF0, 0xD5, 0xA5, 0x91, 0x2B, 0xDF, 0xC0 ),
3020 BYTES_TO_T_UINT_8( 0xD8, 0xEE, 0xB6, 0x25, 0xD6, 0x98, 0xDE, 0x2D ),
3021 BYTES_TO_T_UINT_8( 0x7B, 0xA1, 0x55, 0x63, 0x39, 0xEB, 0xB5, 0x47 ),
3022};
3023static const mbedtls_mpi_uint brainpoolP256r1_T_3_Y[] = {
3024 BYTES_TO_T_UINT_8( 0xB6, 0xD6, 0xB8, 0xE3, 0x13, 0xED, 0x7F, 0xA3 ),
3025 BYTES_TO_T_UINT_8( 0x6C, 0xE8, 0xAE, 0x36, 0xB8, 0xCD, 0x19, 0x02 ),
3026 BYTES_TO_T_UINT_8( 0xF9, 0x82, 0x83, 0x7A, 0x7B, 0x46, 0x56, 0xE8 ),
3027 BYTES_TO_T_UINT_8( 0x4E, 0x60, 0x46, 0x15, 0x5A, 0xAC, 0x99, 0x30 ),
3028};
3029static const mbedtls_mpi_uint brainpoolP256r1_T_4_X[] = {
3030 BYTES_TO_T_UINT_8( 0xBF, 0x61, 0x50, 0xC6, 0xFF, 0x10, 0x7D, 0x04 ),
3031 BYTES_TO_T_UINT_8( 0x92, 0x51, 0xDF, 0xA9, 0x7D, 0x78, 0x26, 0x74 ),
3032 BYTES_TO_T_UINT_8( 0x56, 0x15, 0x9A, 0xF7, 0x01, 0xC1, 0xBB, 0x40 ),
3033 BYTES_TO_T_UINT_8( 0x26, 0x0F, 0xE6, 0x2A, 0xBD, 0x4A, 0x9E, 0x87 ),
3034};
3035static const mbedtls_mpi_uint brainpoolP256r1_T_4_Y[] = {
3036 BYTES_TO_T_UINT_8( 0x57, 0xF8, 0xD1, 0x77, 0xD2, 0x49, 0xB3, 0xDD ),
3037 BYTES_TO_T_UINT_8( 0x36, 0x86, 0xFB, 0x9E, 0x1F, 0x5A, 0x60, 0x47 ),
3038 BYTES_TO_T_UINT_8( 0x98, 0xC4, 0x8D, 0xCD, 0x86, 0x61, 0x2F, 0xF9 ),
3039 BYTES_TO_T_UINT_8( 0x41, 0xF6, 0xB9, 0xAC, 0x37, 0x9D, 0xE9, 0x28 ),
3040};
3041static const mbedtls_mpi_uint brainpoolP256r1_T_5_X[] = {
3042 BYTES_TO_T_UINT_8( 0xFA, 0x77, 0xAA, 0x97, 0x9C, 0x0B, 0x04, 0x20 ),
3043 BYTES_TO_T_UINT_8( 0x80, 0xA6, 0x60, 0x81, 0xCE, 0x25, 0x13, 0x3E ),
3044 BYTES_TO_T_UINT_8( 0x24, 0x00, 0xF3, 0xBB, 0x82, 0x99, 0x95, 0xB7 ),
3045 BYTES_TO_T_UINT_8( 0x47, 0x5A, 0xCE, 0x90, 0x71, 0x38, 0x2F, 0x10 ),
3046};
3047static const mbedtls_mpi_uint brainpoolP256r1_T_5_Y[] = {
3048 BYTES_TO_T_UINT_8( 0xA7, 0x1A, 0xC0, 0x84, 0x27, 0xD6, 0x9D, 0xB7 ),
3049 BYTES_TO_T_UINT_8( 0x34, 0x37, 0x52, 0x16, 0x13, 0x0E, 0xCE, 0x92 ),
3050 BYTES_TO_T_UINT_8( 0x1E, 0xBF, 0x5A, 0xDB, 0xDB, 0x6E, 0x1E, 0x69 ),
3051 BYTES_TO_T_UINT_8( 0x3E, 0xB7, 0x5E, 0xF9, 0x86, 0xDD, 0x8A, 0x5C ),
3052};
3053static const mbedtls_mpi_uint brainpoolP256r1_T_6_X[] = {
3054 BYTES_TO_T_UINT_8( 0x3D, 0xAB, 0x5C, 0x8D, 0x1D, 0xF2, 0x2D, 0x1E ),
3055 BYTES_TO_T_UINT_8( 0x65, 0xC5, 0xF8, 0xF7, 0x1D, 0x96, 0x0B, 0x4D ),
3056 BYTES_TO_T_UINT_8( 0xAC, 0x4C, 0xA7, 0x45, 0x20, 0x6A, 0x1E, 0x5B ),
3057 BYTES_TO_T_UINT_8( 0x21, 0x5D, 0xEF, 0xDE, 0xEE, 0x39, 0x44, 0x19 ),
3058};
3059static const mbedtls_mpi_uint brainpoolP256r1_T_6_Y[] = {
3060 BYTES_TO_T_UINT_8( 0x4B, 0x2F, 0x6D, 0x52, 0xC9, 0x58, 0x60, 0xE8 ),
3061 BYTES_TO_T_UINT_8( 0xC3, 0xC9, 0x62, 0xCB, 0x38, 0x3C, 0x55, 0xCA ),
3062 BYTES_TO_T_UINT_8( 0xFF, 0xA5, 0x09, 0x10, 0x88, 0xDB, 0xE3, 0xBD ),
3063 BYTES_TO_T_UINT_8( 0x52, 0xE0, 0x3C, 0xCE, 0x06, 0x0B, 0x4B, 0x5D ),
3064};
3065static const mbedtls_mpi_uint brainpoolP256r1_T_7_X[] = {
3066 BYTES_TO_T_UINT_8( 0xB1, 0x1D, 0xB4, 0x10, 0x76, 0x8F, 0xBA, 0x09 ),
3067 BYTES_TO_T_UINT_8( 0x57, 0x70, 0x5A, 0x07, 0xF5, 0x1A, 0x74, 0xC7 ),
3068 BYTES_TO_T_UINT_8( 0x0B, 0xE9, 0x94, 0xA8, 0xC0, 0xD5, 0x4A, 0x4A ),
3069 BYTES_TO_T_UINT_8( 0x3E, 0x6D, 0xD4, 0xE8, 0x9B, 0xE9, 0x6D, 0x0E ),
3070};
3071static const mbedtls_mpi_uint brainpoolP256r1_T_7_Y[] = {
3072 BYTES_TO_T_UINT_8( 0x65, 0x00, 0x32, 0x41, 0x57, 0x84, 0x89, 0x52 ),
3073 BYTES_TO_T_UINT_8( 0xEE, 0xC7, 0x14, 0xEC, 0xE9, 0x27, 0xFF, 0xF3 ),
3074 BYTES_TO_T_UINT_8( 0x9A, 0x67, 0x9E, 0xFB, 0xB6, 0xB8, 0x96, 0xF3 ),
3075 BYTES_TO_T_UINT_8( 0xE5, 0x4A, 0xE3, 0x97, 0x4B, 0x58, 0xDE, 0x30 ),
3076};
3077static const mbedtls_mpi_uint brainpoolP256r1_T_8_X[] = {
3078 BYTES_TO_T_UINT_8( 0xA6, 0x1E, 0x5C, 0xF5, 0x7F, 0xD5, 0xD4, 0xAA ),
3079 BYTES_TO_T_UINT_8( 0x5D, 0x08, 0x7A, 0xF1, 0xBD, 0x89, 0xC7, 0x1E ),
3080 BYTES_TO_T_UINT_8( 0x3A, 0xF9, 0x11, 0x1B, 0xF5, 0x3C, 0x6D, 0x8C ),
3081 BYTES_TO_T_UINT_8( 0x19, 0x50, 0xE5, 0x69, 0x1D, 0x59, 0xFC, 0x0C ),
3082};
3083static const mbedtls_mpi_uint brainpoolP256r1_T_8_Y[] = {
3084 BYTES_TO_T_UINT_8( 0xF1, 0x2F, 0xF8, 0x3F, 0xEC, 0x55, 0x99, 0x57 ),
3085 BYTES_TO_T_UINT_8( 0x41, 0xA7, 0x29, 0x90, 0x43, 0x81, 0x31, 0x4C ),
3086 BYTES_TO_T_UINT_8( 0xC3, 0x18, 0x44, 0x50, 0x5D, 0x76, 0xCB, 0xDD ),
3087 BYTES_TO_T_UINT_8( 0xF0, 0xC5, 0x5B, 0x9A, 0x03, 0xE6, 0x17, 0x39 ),
3088};
3089static const mbedtls_mpi_uint brainpoolP256r1_T_9_X[] = {
3090 BYTES_TO_T_UINT_8( 0x21, 0x89, 0xFC, 0x55, 0x94, 0x91, 0x6A, 0xA2 ),
3091 BYTES_TO_T_UINT_8( 0x74, 0x46, 0x35, 0xF2, 0x3A, 0x42, 0x08, 0x2F ),
3092 BYTES_TO_T_UINT_8( 0xD3, 0xD2, 0x76, 0x49, 0x42, 0x87, 0xD3, 0x7F ),
3093 BYTES_TO_T_UINT_8( 0x90, 0xEA, 0xA0, 0x52, 0xF1, 0x6A, 0x30, 0x57 ),
3094};
3095static const mbedtls_mpi_uint brainpoolP256r1_T_9_Y[] = {
3096 BYTES_TO_T_UINT_8( 0x00, 0xB2, 0x57, 0xA3, 0x8A, 0x4D, 0x1B, 0x3C ),
3097 BYTES_TO_T_UINT_8( 0xFC, 0xA3, 0x99, 0x94, 0xB5, 0x3D, 0x64, 0x09 ),
3098 BYTES_TO_T_UINT_8( 0x35, 0xC3, 0xD7, 0x53, 0xF6, 0x49, 0x1C, 0x60 ),
3099 BYTES_TO_T_UINT_8( 0x27, 0x23, 0x41, 0x4D, 0xFB, 0x7A, 0x5C, 0x53 ),
3100};
3101static const mbedtls_mpi_uint brainpoolP256r1_T_10_X[] = {
3102 BYTES_TO_T_UINT_8( 0xCA, 0xB8, 0x15, 0x65, 0x5C, 0x85, 0x94, 0xD7 ),
3103 BYTES_TO_T_UINT_8( 0xAC, 0x37, 0xC7, 0xF8, 0x7E, 0xAE, 0x6C, 0x10 ),
3104 BYTES_TO_T_UINT_8( 0x53, 0xD8, 0x11, 0x54, 0x98, 0x44, 0xE3, 0xF1 ),
3105 BYTES_TO_T_UINT_8( 0xE4, 0x4D, 0xA6, 0x4B, 0x28, 0xF2, 0x57, 0x9E ),
3106};
3107static const mbedtls_mpi_uint brainpoolP256r1_T_10_Y[] = {
3108 BYTES_TO_T_UINT_8( 0xF6, 0xD0, 0xEB, 0x1E, 0xAA, 0x30, 0xD3, 0x6A ),
3109 BYTES_TO_T_UINT_8( 0x58, 0x9B, 0x4D, 0xA7, 0x73, 0x6E, 0xB6, 0x45 ),
3110 BYTES_TO_T_UINT_8( 0x5D, 0x47, 0xF6, 0xED, 0x37, 0xEF, 0x71, 0x4D ),
3111 BYTES_TO_T_UINT_8( 0xA8, 0xB5, 0x49, 0x61, 0x5E, 0x45, 0xF6, 0x4A ),
3112};
3113static const mbedtls_mpi_uint brainpoolP256r1_T_11_X[] = {
3114 BYTES_TO_T_UINT_8( 0xEF, 0x0E, 0xB3, 0x84, 0x3A, 0x63, 0x72, 0x84 ),
3115 BYTES_TO_T_UINT_8( 0x6D, 0x53, 0x5C, 0xA7, 0xC6, 0x2E, 0xAB, 0x9E ),
3116 BYTES_TO_T_UINT_8( 0xEB, 0x0F, 0x8F, 0x87, 0x50, 0x28, 0xB4, 0xAE ),
3117 BYTES_TO_T_UINT_8( 0x5C, 0x98, 0x4A, 0x98, 0x31, 0x86, 0xCA, 0x51 ),
3118};
3119static const mbedtls_mpi_uint brainpoolP256r1_T_11_Y[] = {
3120 BYTES_TO_T_UINT_8( 0xBE, 0xC9, 0xE2, 0xFD, 0x5D, 0x1F, 0xE8, 0xC2 ),
3121 BYTES_TO_T_UINT_8( 0xD5, 0x90, 0x91, 0xC4, 0x84, 0xF0, 0xBA, 0xC5 ),
3122 BYTES_TO_T_UINT_8( 0x6C, 0x5A, 0xB3, 0x4E, 0xFB, 0xE0, 0x57, 0xE8 ),
3123 BYTES_TO_T_UINT_8( 0x6B, 0x0B, 0x90, 0xA6, 0xFD, 0x9D, 0x8E, 0x02 ),
3124};
3125static const mbedtls_mpi_uint brainpoolP256r1_T_12_X[] = {
3126 BYTES_TO_T_UINT_8( 0xF8, 0x41, 0x8F, 0x31, 0xFA, 0x5A, 0xF6, 0x33 ),
3127 BYTES_TO_T_UINT_8( 0xAC, 0xE9, 0xE3, 0xF6, 0xE0, 0x4A, 0xE7, 0xD2 ),
3128 BYTES_TO_T_UINT_8( 0x84, 0x4E, 0xCD, 0xA2, 0x22, 0x14, 0xD4, 0x12 ),
3129 BYTES_TO_T_UINT_8( 0x7C, 0xED, 0x21, 0xB7, 0x0F, 0x53, 0x10, 0x17 ),
3130};
3131static const mbedtls_mpi_uint brainpoolP256r1_T_12_Y[] = {
3132 BYTES_TO_T_UINT_8( 0x05, 0x06, 0x24, 0x2C, 0x4E, 0xD1, 0x1E, 0x9F ),
3133 BYTES_TO_T_UINT_8( 0xD7, 0x3F, 0xC1, 0x9F, 0xAB, 0xF0, 0x37, 0x95 ),
3134 BYTES_TO_T_UINT_8( 0x03, 0x5E, 0x12, 0xCE, 0x83, 0x1B, 0x2A, 0x18 ),
3135 BYTES_TO_T_UINT_8( 0x61, 0x65, 0xCF, 0xE8, 0x5C, 0xA5, 0xA2, 0x70 ),
3136};
3137static const mbedtls_mpi_uint brainpoolP256r1_T_13_X[] = {
3138 BYTES_TO_T_UINT_8( 0xB8, 0x86, 0x76, 0x3A, 0x94, 0xF6, 0x1D, 0xC1 ),
3139 BYTES_TO_T_UINT_8( 0x1D, 0xDA, 0xC9, 0xA6, 0x29, 0x93, 0x15, 0x10 ),
3140 BYTES_TO_T_UINT_8( 0x6D, 0x61, 0x6A, 0x7D, 0xC7, 0xA9, 0xF3, 0x76 ),
3141 BYTES_TO_T_UINT_8( 0x4A, 0x03, 0x71, 0xA2, 0x15, 0xCE, 0x50, 0x72 ),
3142};
3143static const mbedtls_mpi_uint brainpoolP256r1_T_13_Y[] = {
3144 BYTES_TO_T_UINT_8( 0xB6, 0xD0, 0xA8, 0x1E, 0x91, 0xC4, 0x4F, 0x24 ),
3145 BYTES_TO_T_UINT_8( 0x2D, 0x4B, 0x7E, 0xD7, 0x71, 0x58, 0x7E, 0x1E ),
3146 BYTES_TO_T_UINT_8( 0x93, 0x45, 0xAF, 0x2A, 0x18, 0x93, 0x95, 0x3B ),
3147 BYTES_TO_T_UINT_8( 0x1B, 0x8F, 0xC7, 0xFA, 0x4C, 0x7A, 0x86, 0x54 ),
3148};
3149static const mbedtls_mpi_uint brainpoolP256r1_T_14_X[] = {
3150 BYTES_TO_T_UINT_8( 0x97, 0xAF, 0x68, 0x3A, 0x23, 0xC1, 0x2E, 0xBF ),
3151 BYTES_TO_T_UINT_8( 0x89, 0x50, 0x11, 0x67, 0x39, 0xB9, 0xAF, 0x48 ),
3152 BYTES_TO_T_UINT_8( 0x19, 0x86, 0xAA, 0x1E, 0x88, 0x21, 0x29, 0x8B ),
3153 BYTES_TO_T_UINT_8( 0xCD, 0x28, 0xA4, 0x9D, 0x89, 0xA9, 0x9A, 0x10 ),
3154};
3155static const mbedtls_mpi_uint brainpoolP256r1_T_14_Y[] = {
3156 BYTES_TO_T_UINT_8( 0x91, 0xBA, 0x04, 0x67, 0xB7, 0x01, 0x40, 0x38 ),
3157 BYTES_TO_T_UINT_8( 0x08, 0xE9, 0x09, 0xA3, 0xCA, 0xA6, 0x37, 0xF6 ),
3158 BYTES_TO_T_UINT_8( 0x6C, 0x97, 0xA8, 0xB6, 0x3C, 0xEE, 0x90, 0x3D ),
3159 BYTES_TO_T_UINT_8( 0xDC, 0xED, 0xC4, 0xF7, 0xC3, 0x95, 0xEC, 0x85 ),
3160};
3161static const mbedtls_mpi_uint brainpoolP256r1_T_15_X[] = {
3162 BYTES_TO_T_UINT_8( 0xF5, 0x84, 0xBD, 0xEB, 0xD5, 0x64, 0xBB, 0x9D ),
3163 BYTES_TO_T_UINT_8( 0xDB, 0x9B, 0xE2, 0x28, 0x50, 0xC2, 0x72, 0x40 ),
3164 BYTES_TO_T_UINT_8( 0x39, 0xF2, 0x74, 0xD1, 0x26, 0xBF, 0x32, 0x68 ),
3165 BYTES_TO_T_UINT_8( 0x36, 0xCB, 0xAF, 0x72, 0xDB, 0x6D, 0x30, 0x98 ),
3166};
3167static const mbedtls_mpi_uint brainpoolP256r1_T_15_Y[] = {
3168 BYTES_TO_T_UINT_8( 0xB3, 0x50, 0x85, 0xF4, 0x2B, 0x48, 0xC1, 0xAD ),
3169 BYTES_TO_T_UINT_8( 0xC0, 0x28, 0xBB, 0x11, 0xBA, 0x5B, 0x22, 0x6C ),
3170 BYTES_TO_T_UINT_8( 0xAD, 0xA1, 0xE5, 0x5C, 0xC9, 0x1D, 0x44, 0x45 ),
3171 BYTES_TO_T_UINT_8( 0xD4, 0xE8, 0xE6, 0x6F, 0xBB, 0xC1, 0x81, 0x7F ),
3172};
3173static const mbedtls_ecp_point brainpoolP256r1_T[16] = {
3174 ECP_POINT_INIT_XY_Z1(brainpoolP256r1_T_0_X, brainpoolP256r1_T_0_Y),
3175 ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_1_X, brainpoolP256r1_T_1_Y),
3176 ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_2_X, brainpoolP256r1_T_2_Y),
3177 ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_3_X, brainpoolP256r1_T_3_Y),
3178 ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_4_X, brainpoolP256r1_T_4_Y),
3179 ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_5_X, brainpoolP256r1_T_5_Y),
3180 ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_6_X, brainpoolP256r1_T_6_Y),
3181 ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_7_X, brainpoolP256r1_T_7_Y),
3182 ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_8_X, brainpoolP256r1_T_8_Y),
3183 ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_9_X, brainpoolP256r1_T_9_Y),
3184 ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_10_X, brainpoolP256r1_T_10_Y),
3185 ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_11_X, brainpoolP256r1_T_11_Y),
3186 ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_12_X, brainpoolP256r1_T_12_Y),
3187 ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_13_X, brainpoolP256r1_T_13_Y),
3188 ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_14_X, brainpoolP256r1_T_14_Y),
3189 ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_15_X, brainpoolP256r1_T_15_Y),
3190};
3191#else
3192#define brainpoolP256r1_T NULL
3193#endif
3194
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02003195#endif /* MBEDTLS_ECP_DP_BP256R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01003196
3197/*
3198 * Domain parameters for brainpoolP384r1 (RFC 5639 3.6)
3199 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02003200#if defined(MBEDTLS_ECP_DP_BP384R1_ENABLED)
3201static const mbedtls_mpi_uint brainpoolP384r1_p[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +01003202 BYTES_TO_T_UINT_8( 0x53, 0xEC, 0x07, 0x31, 0x13, 0x00, 0x47, 0x87 ),
3203 BYTES_TO_T_UINT_8( 0x71, 0x1A, 0x1D, 0x90, 0x29, 0xA7, 0xD3, 0xAC ),
3204 BYTES_TO_T_UINT_8( 0x23, 0x11, 0xB7, 0x7F, 0x19, 0xDA, 0xB1, 0x12 ),
3205 BYTES_TO_T_UINT_8( 0xB4, 0x56, 0x54, 0xED, 0x09, 0x71, 0x2F, 0x15 ),
3206 BYTES_TO_T_UINT_8( 0xDF, 0x41, 0xE6, 0x50, 0x7E, 0x6F, 0x5D, 0x0F ),
3207 BYTES_TO_T_UINT_8( 0x28, 0x6D, 0x38, 0xA3, 0x82, 0x1E, 0xB9, 0x8C ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01003208};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02003209static const mbedtls_mpi_uint brainpoolP384r1_a[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +01003210 BYTES_TO_T_UINT_8( 0x26, 0x28, 0xCE, 0x22, 0xDD, 0xC7, 0xA8, 0x04 ),
3211 BYTES_TO_T_UINT_8( 0xEB, 0xD4, 0x3A, 0x50, 0x4A, 0x81, 0xA5, 0x8A ),
3212 BYTES_TO_T_UINT_8( 0x0F, 0xF9, 0x91, 0xBA, 0xEF, 0x65, 0x91, 0x13 ),
3213 BYTES_TO_T_UINT_8( 0x87, 0x27, 0xB2, 0x4F, 0x8E, 0xA2, 0xBE, 0xC2 ),
3214 BYTES_TO_T_UINT_8( 0xA0, 0xAF, 0x05, 0xCE, 0x0A, 0x08, 0x72, 0x3C ),
3215 BYTES_TO_T_UINT_8( 0x0C, 0x15, 0x8C, 0x3D, 0xC6, 0x82, 0xC3, 0x7B ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01003216};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02003217static const mbedtls_mpi_uint brainpoolP384r1_b[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +01003218 BYTES_TO_T_UINT_8( 0x11, 0x4C, 0x50, 0xFA, 0x96, 0x86, 0xB7, 0x3A ),
3219 BYTES_TO_T_UINT_8( 0x94, 0xC9, 0xDB, 0x95, 0x02, 0x39, 0xB4, 0x7C ),
3220 BYTES_TO_T_UINT_8( 0xD5, 0x62, 0xEB, 0x3E, 0xA5, 0x0E, 0x88, 0x2E ),
3221 BYTES_TO_T_UINT_8( 0xA6, 0xD2, 0xDC, 0x07, 0xE1, 0x7D, 0xB7, 0x2F ),
3222 BYTES_TO_T_UINT_8( 0x7C, 0x44, 0xF0, 0x16, 0x54, 0xB5, 0x39, 0x8B ),
3223 BYTES_TO_T_UINT_8( 0x26, 0x28, 0xCE, 0x22, 0xDD, 0xC7, 0xA8, 0x04 ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01003224};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02003225static const mbedtls_mpi_uint brainpoolP384r1_gx[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +01003226 BYTES_TO_T_UINT_8( 0x1E, 0xAF, 0xD4, 0x47, 0xE2, 0xB2, 0x87, 0xEF ),
3227 BYTES_TO_T_UINT_8( 0xAA, 0x46, 0xD6, 0x36, 0x34, 0xE0, 0x26, 0xE8 ),
3228 BYTES_TO_T_UINT_8( 0xE8, 0x10, 0xBD, 0x0C, 0xFE, 0xCA, 0x7F, 0xDB ),
3229 BYTES_TO_T_UINT_8( 0xE3, 0x4F, 0xF1, 0x7E, 0xE7, 0xA3, 0x47, 0x88 ),
3230 BYTES_TO_T_UINT_8( 0x6B, 0x3F, 0xC1, 0xB7, 0x81, 0x3A, 0xA6, 0xA2 ),
3231 BYTES_TO_T_UINT_8( 0xFF, 0x45, 0xCF, 0x68, 0xF0, 0x64, 0x1C, 0x1D ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01003232};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02003233static const mbedtls_mpi_uint brainpoolP384r1_gy[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +01003234 BYTES_TO_T_UINT_8( 0x15, 0x53, 0x3C, 0x26, 0x41, 0x03, 0x82, 0x42 ),
3235 BYTES_TO_T_UINT_8( 0x11, 0x81, 0x91, 0x77, 0x21, 0x46, 0x46, 0x0E ),
3236 BYTES_TO_T_UINT_8( 0x28, 0x29, 0x91, 0xF9, 0x4F, 0x05, 0x9C, 0xE1 ),
3237 BYTES_TO_T_UINT_8( 0x64, 0x58, 0xEC, 0xFE, 0x29, 0x0B, 0xB7, 0x62 ),
3238 BYTES_TO_T_UINT_8( 0x52, 0xD5, 0xCF, 0x95, 0x8E, 0xEB, 0xB1, 0x5C ),
3239 BYTES_TO_T_UINT_8( 0xA4, 0xC2, 0xF9, 0x20, 0x75, 0x1D, 0xBE, 0x8A ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01003240};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02003241static const mbedtls_mpi_uint brainpoolP384r1_n[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +01003242 BYTES_TO_T_UINT_8( 0x65, 0x65, 0x04, 0xE9, 0x02, 0x32, 0x88, 0x3B ),
3243 BYTES_TO_T_UINT_8( 0x10, 0xC3, 0x7F, 0x6B, 0xAF, 0xB6, 0x3A, 0xCF ),
3244 BYTES_TO_T_UINT_8( 0xA7, 0x25, 0x04, 0xAC, 0x6C, 0x6E, 0x16, 0x1F ),
3245 BYTES_TO_T_UINT_8( 0xB3, 0x56, 0x54, 0xED, 0x09, 0x71, 0x2F, 0x15 ),
3246 BYTES_TO_T_UINT_8( 0xDF, 0x41, 0xE6, 0x50, 0x7E, 0x6F, 0x5D, 0x0F ),
3247 BYTES_TO_T_UINT_8( 0x28, 0x6D, 0x38, 0xA3, 0x82, 0x1E, 0xB9, 0x8C ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01003248};
kXuanba9cb762021-04-08 14:32:06 +08003249
3250#if MBEDTLS_ECP_FIXED_POINT_OPTIM == 1
3251static const mbedtls_mpi_uint brainpoolP384r1_T_0_X[] = {
3252 BYTES_TO_T_UINT_8( 0x1E, 0xAF, 0xD4, 0x47, 0xE2, 0xB2, 0x87, 0xEF ),
3253 BYTES_TO_T_UINT_8( 0xAA, 0x46, 0xD6, 0x36, 0x34, 0xE0, 0x26, 0xE8 ),
3254 BYTES_TO_T_UINT_8( 0xE8, 0x10, 0xBD, 0x0C, 0xFE, 0xCA, 0x7F, 0xDB ),
3255 BYTES_TO_T_UINT_8( 0xE3, 0x4F, 0xF1, 0x7E, 0xE7, 0xA3, 0x47, 0x88 ),
3256 BYTES_TO_T_UINT_8( 0x6B, 0x3F, 0xC1, 0xB7, 0x81, 0x3A, 0xA6, 0xA2 ),
3257 BYTES_TO_T_UINT_8( 0xFF, 0x45, 0xCF, 0x68, 0xF0, 0x64, 0x1C, 0x1D ),
3258};
3259static const mbedtls_mpi_uint brainpoolP384r1_T_0_Y[] = {
3260 BYTES_TO_T_UINT_8( 0x15, 0x53, 0x3C, 0x26, 0x41, 0x03, 0x82, 0x42 ),
3261 BYTES_TO_T_UINT_8( 0x11, 0x81, 0x91, 0x77, 0x21, 0x46, 0x46, 0x0E ),
3262 BYTES_TO_T_UINT_8( 0x28, 0x29, 0x91, 0xF9, 0x4F, 0x05, 0x9C, 0xE1 ),
3263 BYTES_TO_T_UINT_8( 0x64, 0x58, 0xEC, 0xFE, 0x29, 0x0B, 0xB7, 0x62 ),
3264 BYTES_TO_T_UINT_8( 0x52, 0xD5, 0xCF, 0x95, 0x8E, 0xEB, 0xB1, 0x5C ),
3265 BYTES_TO_T_UINT_8( 0xA4, 0xC2, 0xF9, 0x20, 0x75, 0x1D, 0xBE, 0x8A ),
3266};
3267static const mbedtls_mpi_uint brainpoolP384r1_T_1_X[] = {
3268 BYTES_TO_T_UINT_8( 0x93, 0xD8, 0x8A, 0x54, 0x41, 0xD6, 0x6B, 0x1D ),
3269 BYTES_TO_T_UINT_8( 0xE2, 0x3B, 0xF1, 0x22, 0xFD, 0x2D, 0x4B, 0x03 ),
3270 BYTES_TO_T_UINT_8( 0x01, 0x55, 0xE3, 0x33, 0xF0, 0x73, 0x52, 0x5A ),
3271 BYTES_TO_T_UINT_8( 0xC1, 0x3F, 0x30, 0x26, 0xCA, 0x7F, 0x52, 0xA3 ),
3272 BYTES_TO_T_UINT_8( 0xD3, 0x6E, 0x17, 0x9B, 0xD5, 0x2A, 0x4A, 0x31 ),
3273 BYTES_TO_T_UINT_8( 0x86, 0xDA, 0x6B, 0xE5, 0x03, 0x07, 0x1D, 0x2E ),
3274};
3275static const mbedtls_mpi_uint brainpoolP384r1_T_1_Y[] = {
3276 BYTES_TO_T_UINT_8( 0x51, 0x7A, 0xAF, 0x98, 0xE3, 0xA4, 0xF6, 0x19 ),
3277 BYTES_TO_T_UINT_8( 0xEC, 0x7D, 0xFE, 0x51, 0x40, 0x3B, 0x47, 0xD2 ),
3278 BYTES_TO_T_UINT_8( 0xFC, 0x88, 0xEC, 0xC4, 0xE2, 0x8F, 0xCB, 0xA4 ),
3279 BYTES_TO_T_UINT_8( 0x30, 0xE2, 0x88, 0x2D, 0x4E, 0x50, 0xEB, 0x9A ),
3280 BYTES_TO_T_UINT_8( 0x13, 0x54, 0x94, 0x5E, 0xF4, 0x7F, 0x3A, 0x04 ),
3281 BYTES_TO_T_UINT_8( 0xCD, 0x07, 0x1C, 0xE1, 0xBD, 0x0F, 0xF8, 0x63 ),
3282};
3283static const mbedtls_mpi_uint brainpoolP384r1_T_2_X[] = {
3284 BYTES_TO_T_UINT_8( 0x94, 0x92, 0x28, 0x2E, 0x32, 0x04, 0xB1, 0x4D ),
3285 BYTES_TO_T_UINT_8( 0x25, 0x82, 0x44, 0x43, 0x76, 0x0D, 0x55, 0xBF ),
3286 BYTES_TO_T_UINT_8( 0x5B, 0xE3, 0xFF, 0x89, 0x46, 0xDE, 0x4E, 0xFE ),
3287 BYTES_TO_T_UINT_8( 0x5B, 0x22, 0xBB, 0x67, 0x1A, 0x81, 0xEE, 0x27 ),
3288 BYTES_TO_T_UINT_8( 0xC8, 0x54, 0xE2, 0x7A, 0xAE, 0xDA, 0x2C, 0xD0 ),
3289 BYTES_TO_T_UINT_8( 0x74, 0x9A, 0x90, 0xAA, 0x6E, 0x8B, 0xCC, 0x5F ),
3290};
3291static const mbedtls_mpi_uint brainpoolP384r1_T_2_Y[] = {
3292 BYTES_TO_T_UINT_8( 0x16, 0x40, 0xAC, 0xED, 0x7D, 0x37, 0x87, 0xAC ),
3293 BYTES_TO_T_UINT_8( 0x98, 0xF8, 0xB1, 0x80, 0x4C, 0x8C, 0x04, 0x42 ),
3294 BYTES_TO_T_UINT_8( 0xC2, 0x98, 0x2C, 0xAD, 0x30, 0x69, 0x35, 0xC0 ),
3295 BYTES_TO_T_UINT_8( 0x32, 0x2E, 0x00, 0x2F, 0x44, 0x8C, 0xF0, 0xC0 ),
3296 BYTES_TO_T_UINT_8( 0x16, 0x58, 0x07, 0xD7, 0xCD, 0x60, 0xA1, 0x5B ),
3297 BYTES_TO_T_UINT_8( 0xAF, 0xFB, 0x7B, 0x03, 0x05, 0x5E, 0x79, 0x73 ),
3298};
3299static const mbedtls_mpi_uint brainpoolP384r1_T_3_X[] = {
3300 BYTES_TO_T_UINT_8( 0xC8, 0x17, 0xCE, 0x38, 0x4B, 0x5E, 0x5B, 0xC8 ),
3301 BYTES_TO_T_UINT_8( 0x60, 0x0E, 0x0A, 0x61, 0x9D, 0x7C, 0x62, 0x08 ),
3302 BYTES_TO_T_UINT_8( 0x25, 0xF0, 0x98, 0x71, 0x7F, 0x17, 0x26, 0xD7 ),
3303 BYTES_TO_T_UINT_8( 0x83, 0xD3, 0xFA, 0x3C, 0xF0, 0x70, 0x07, 0x82 ),
3304 BYTES_TO_T_UINT_8( 0x29, 0x47, 0x5C, 0x09, 0x43, 0xB7, 0x65, 0x15 ),
3305 BYTES_TO_T_UINT_8( 0x0E, 0xA9, 0xA7, 0x3E, 0xFA, 0xF3, 0xEC, 0x22 ),
3306};
3307static const mbedtls_mpi_uint brainpoolP384r1_T_3_Y[] = {
3308 BYTES_TO_T_UINT_8( 0xDA, 0x78, 0x22, 0x2B, 0x58, 0x71, 0xFA, 0xAA ),
3309 BYTES_TO_T_UINT_8( 0x00, 0x30, 0xCE, 0x6A, 0xB3, 0xB0, 0x4F, 0x83 ),
3310 BYTES_TO_T_UINT_8( 0xCF, 0x95, 0x20, 0xA9, 0x23, 0xC2, 0x65, 0xE7 ),
3311 BYTES_TO_T_UINT_8( 0x55, 0xCF, 0x03, 0x5B, 0x8A, 0x80, 0x44, 0xBB ),
3312 BYTES_TO_T_UINT_8( 0x5C, 0xF8, 0x91, 0xF7, 0xD5, 0xED, 0xEA, 0x81 ),
3313 BYTES_TO_T_UINT_8( 0x40, 0x5B, 0x16, 0x10, 0x25, 0xAC, 0x2A, 0x17 ),
3314};
3315static const mbedtls_mpi_uint brainpoolP384r1_T_4_X[] = {
3316 BYTES_TO_T_UINT_8( 0xF2, 0xEC, 0xDC, 0xC4, 0x7B, 0x8C, 0x6B, 0xE9 ),
3317 BYTES_TO_T_UINT_8( 0x2B, 0xBB, 0x1C, 0xD3, 0x5A, 0xEE, 0xD9, 0x97 ),
3318 BYTES_TO_T_UINT_8( 0x64, 0x5D, 0x30, 0x5E, 0xF7, 0xB2, 0x41, 0x9D ),
3319 BYTES_TO_T_UINT_8( 0xED, 0xCE, 0x0F, 0x1A, 0xC6, 0x41, 0x64, 0x62 ),
3320 BYTES_TO_T_UINT_8( 0xF2, 0x18, 0xE1, 0xE3, 0x82, 0x15, 0x66, 0x4B ),
3321 BYTES_TO_T_UINT_8( 0x9B, 0xE2, 0x24, 0x04, 0x72, 0x39, 0xA0, 0x7C ),
3322};
3323static const mbedtls_mpi_uint brainpoolP384r1_T_4_Y[] = {
3324 BYTES_TO_T_UINT_8( 0x2B, 0x51, 0xA2, 0x58, 0x88, 0x62, 0xE1, 0x02 ),
3325 BYTES_TO_T_UINT_8( 0x58, 0xD2, 0x65, 0x14, 0xE9, 0x4C, 0x82, 0x30 ),
3326 BYTES_TO_T_UINT_8( 0xDC, 0xE1, 0xAC, 0x87, 0xAE, 0x31, 0x1A, 0x7A ),
3327 BYTES_TO_T_UINT_8( 0x85, 0x4F, 0x96, 0x1E, 0x85, 0x7A, 0xC3, 0x2B ),
3328 BYTES_TO_T_UINT_8( 0xF0, 0x86, 0xBB, 0xF0, 0xC0, 0x9D, 0x08, 0x7B ),
3329 BYTES_TO_T_UINT_8( 0xBD, 0x53, 0x03, 0x09, 0x80, 0x91, 0xEF, 0x68 ),
3330};
3331static const mbedtls_mpi_uint brainpoolP384r1_T_5_X[] = {
3332 BYTES_TO_T_UINT_8( 0x2D, 0xD7, 0xAF, 0x6F, 0x69, 0x7B, 0x88, 0xA1 ),
3333 BYTES_TO_T_UINT_8( 0xAF, 0x13, 0xE4, 0x30, 0xA2, 0x47, 0xB5, 0xC1 ),
3334 BYTES_TO_T_UINT_8( 0x0F, 0xD2, 0xC0, 0xDD, 0x8A, 0x1C, 0x3C, 0xF2 ),
3335 BYTES_TO_T_UINT_8( 0xF9, 0x8C, 0xB3, 0x4C, 0xBA, 0x8B, 0x6D, 0xCF ),
3336 BYTES_TO_T_UINT_8( 0x6B, 0xC7, 0xA1, 0xA8, 0x6E, 0x3C, 0x4F, 0xF1 ),
3337 BYTES_TO_T_UINT_8( 0x94, 0x4A, 0x97, 0xC8, 0x03, 0x6F, 0x01, 0x82 ),
3338};
3339static const mbedtls_mpi_uint brainpoolP384r1_T_5_Y[] = {
3340 BYTES_TO_T_UINT_8( 0x74, 0x18, 0x12, 0xA9, 0x39, 0xD5, 0x22, 0x26 ),
3341 BYTES_TO_T_UINT_8( 0x47, 0xA7, 0xC0, 0xBD, 0x9D, 0x8D, 0x78, 0x38 ),
3342 BYTES_TO_T_UINT_8( 0xA9, 0xB3, 0xD0, 0x7F, 0xDF, 0xD0, 0x30, 0xDE ),
3343 BYTES_TO_T_UINT_8( 0x37, 0x25, 0x73, 0x96, 0xEC, 0xA8, 0x1D, 0x7C ),
3344 BYTES_TO_T_UINT_8( 0x91, 0xD1, 0x65, 0x66, 0xDC, 0xD9, 0xCF, 0xDF ),
3345 BYTES_TO_T_UINT_8( 0x95, 0xED, 0x7B, 0x37, 0xAD, 0xE2, 0xBE, 0x2D ),
3346};
3347static const mbedtls_mpi_uint brainpoolP384r1_T_6_X[] = {
3348 BYTES_TO_T_UINT_8( 0x50, 0x79, 0x42, 0x6A, 0x07, 0x66, 0xB1, 0xBD ),
3349 BYTES_TO_T_UINT_8( 0x45, 0x53, 0x62, 0x65, 0x92, 0x09, 0x4C, 0xA1 ),
3350 BYTES_TO_T_UINT_8( 0x06, 0xAF, 0xC3, 0x03, 0xF6, 0xF4, 0x2D, 0x9B ),
3351 BYTES_TO_T_UINT_8( 0xE8, 0xCA, 0x41, 0xD9, 0xA2, 0x69, 0x9B, 0xC9 ),
3352 BYTES_TO_T_UINT_8( 0x4B, 0xB2, 0xA6, 0x8D, 0xE1, 0xAA, 0x61, 0x76 ),
3353 BYTES_TO_T_UINT_8( 0x11, 0xBA, 0x4D, 0x12, 0xB6, 0xBE, 0xF3, 0x7E ),
3354};
3355static const mbedtls_mpi_uint brainpoolP384r1_T_6_Y[] = {
3356 BYTES_TO_T_UINT_8( 0xCA, 0xD9, 0x92, 0x22, 0x07, 0xCE, 0xC9, 0x26 ),
3357 BYTES_TO_T_UINT_8( 0x62, 0xA1, 0x7C, 0x91, 0xDB, 0x32, 0xF7, 0xE5 ),
3358 BYTES_TO_T_UINT_8( 0x6D, 0x49, 0x4B, 0x6D, 0xFB, 0xD9, 0x70, 0x3B ),
3359 BYTES_TO_T_UINT_8( 0x1C, 0xFB, 0x4E, 0x4C, 0x5E, 0x66, 0x81, 0x1D ),
3360 BYTES_TO_T_UINT_8( 0xA5, 0xB3, 0xE1, 0x00, 0xB7, 0xD9, 0xCC, 0x58 ),
3361 BYTES_TO_T_UINT_8( 0xF3, 0x36, 0x8B, 0xC4, 0x39, 0x20, 0xFD, 0x30 ),
3362};
3363static const mbedtls_mpi_uint brainpoolP384r1_T_7_X[] = {
3364 BYTES_TO_T_UINT_8( 0x94, 0x1F, 0x60, 0x03, 0xBB, 0xD7, 0x60, 0x57 ),
3365 BYTES_TO_T_UINT_8( 0x72, 0x3C, 0x62, 0xDD, 0x71, 0x95, 0xE9, 0x61 ),
3366 BYTES_TO_T_UINT_8( 0xB0, 0x5B, 0x7A, 0x5F, 0x68, 0x81, 0xC5, 0x90 ),
3367 BYTES_TO_T_UINT_8( 0x1E, 0xAF, 0xB5, 0xB9, 0x98, 0x42, 0x28, 0xA5 ),
3368 BYTES_TO_T_UINT_8( 0x0C, 0x29, 0x8E, 0x11, 0x49, 0xB4, 0xD7, 0x20 ),
3369 BYTES_TO_T_UINT_8( 0x9B, 0x3E, 0xD2, 0x30, 0xA1, 0xBA, 0xCA, 0x03 ),
3370};
3371static const mbedtls_mpi_uint brainpoolP384r1_T_7_Y[] = {
3372 BYTES_TO_T_UINT_8( 0x29, 0x37, 0x64, 0x44, 0x2F, 0x03, 0xE5, 0x41 ),
3373 BYTES_TO_T_UINT_8( 0x4A, 0x42, 0xBC, 0xFF, 0xA2, 0x1A, 0x5F, 0x06 ),
3374 BYTES_TO_T_UINT_8( 0x1D, 0x04, 0xAB, 0x04, 0xE0, 0x24, 0xAD, 0x2A ),
3375 BYTES_TO_T_UINT_8( 0x3D, 0x45, 0x17, 0x67, 0x1F, 0x3E, 0x53, 0xF8 ),
3376 BYTES_TO_T_UINT_8( 0xED, 0x0F, 0xB3, 0x1B, 0x57, 0x54, 0xC2, 0x03 ),
3377 BYTES_TO_T_UINT_8( 0x59, 0xD3, 0xF8, 0xC4, 0x1B, 0x9B, 0xFA, 0x30 ),
3378};
3379static const mbedtls_mpi_uint brainpoolP384r1_T_8_X[] = {
3380 BYTES_TO_T_UINT_8( 0x37, 0x90, 0xFD, 0xFB, 0xCA, 0x49, 0x38, 0x4E ),
3381 BYTES_TO_T_UINT_8( 0xC3, 0xCF, 0xC6, 0xDD, 0xF0, 0xFF, 0x8C, 0x11 ),
3382 BYTES_TO_T_UINT_8( 0xD7, 0x69, 0x9D, 0xBD, 0x5F, 0x33, 0xE9, 0xB4 ),
3383 BYTES_TO_T_UINT_8( 0x47, 0x19, 0x82, 0x3D, 0xAC, 0x1C, 0x40, 0x23 ),
3384 BYTES_TO_T_UINT_8( 0x40, 0xC7, 0x02, 0x46, 0x14, 0x77, 0x00, 0xBE ),
3385 BYTES_TO_T_UINT_8( 0xC9, 0x05, 0xF2, 0x77, 0x3A, 0x66, 0x5C, 0x39 ),
3386};
3387static const mbedtls_mpi_uint brainpoolP384r1_T_8_Y[] = {
3388 BYTES_TO_T_UINT_8( 0x1E, 0xE6, 0x17, 0xDE, 0xB2, 0xA1, 0xE5, 0xB8 ),
3389 BYTES_TO_T_UINT_8( 0xC7, 0x71, 0xEC, 0x9D, 0xD8, 0xF5, 0xD4, 0x66 ),
3390 BYTES_TO_T_UINT_8( 0xAA, 0xC6, 0x42, 0x5E, 0xE7, 0x18, 0xBA, 0xD0 ),
3391 BYTES_TO_T_UINT_8( 0xC5, 0x21, 0x68, 0x5A, 0x26, 0xFB, 0xD7, 0x17 ),
3392 BYTES_TO_T_UINT_8( 0x26, 0x00, 0x5C, 0xBA, 0x8A, 0x34, 0xEC, 0x75 ),
3393 BYTES_TO_T_UINT_8( 0xC3, 0x9C, 0x3C, 0xAF, 0x53, 0xE8, 0x65, 0x35 ),
3394};
3395static const mbedtls_mpi_uint brainpoolP384r1_T_9_X[] = {
3396 BYTES_TO_T_UINT_8( 0xBE, 0xEF, 0x28, 0xDC, 0x67, 0x05, 0xC8, 0xDF ),
3397 BYTES_TO_T_UINT_8( 0x0B, 0x78, 0xC3, 0x85, 0x49, 0xA0, 0xBC, 0x0F ),
3398 BYTES_TO_T_UINT_8( 0x10, 0x3E, 0x2D, 0xA0, 0xCF, 0xD4, 0x7A, 0xF5 ),
3399 BYTES_TO_T_UINT_8( 0x36, 0x93, 0xFE, 0x60, 0xB3, 0x6E, 0x99, 0xE2 ),
3400 BYTES_TO_T_UINT_8( 0x62, 0xAD, 0x04, 0xE7, 0x49, 0xAF, 0x5E, 0xE3 ),
3401 BYTES_TO_T_UINT_8( 0x54, 0x7A, 0xED, 0xA6, 0x9E, 0x18, 0x09, 0x31 ),
3402};
3403static const mbedtls_mpi_uint brainpoolP384r1_T_9_Y[] = {
3404 BYTES_TO_T_UINT_8( 0xE8, 0x05, 0x94, 0x44, 0xDC, 0xB8, 0x85, 0x94 ),
3405 BYTES_TO_T_UINT_8( 0x14, 0xB7, 0x37, 0xC2, 0x50, 0x75, 0x15, 0xDA ),
3406 BYTES_TO_T_UINT_8( 0xD6, 0xC6, 0x0F, 0xB2, 0xA9, 0x91, 0x3E, 0xE8 ),
3407 BYTES_TO_T_UINT_8( 0xB9, 0x81, 0xAD, 0x25, 0xA1, 0x26, 0x73, 0x15 ),
3408 BYTES_TO_T_UINT_8( 0xFD, 0xF1, 0xD1, 0x61, 0x7C, 0x76, 0x8F, 0x13 ),
3409 BYTES_TO_T_UINT_8( 0x06, 0xDB, 0x4A, 0xFF, 0x14, 0xA7, 0x48, 0x0B ),
3410};
3411static const mbedtls_mpi_uint brainpoolP384r1_T_10_X[] = {
3412 BYTES_TO_T_UINT_8( 0x2A, 0x73, 0xC6, 0xC2, 0xCC, 0xF1, 0x57, 0x04 ),
3413 BYTES_TO_T_UINT_8( 0xB6, 0xED, 0x73, 0x27, 0x70, 0x82, 0xB6, 0x5E ),
3414 BYTES_TO_T_UINT_8( 0x0B, 0xBA, 0xAC, 0x3A, 0xCF, 0xF4, 0xEA, 0xA6 ),
3415 BYTES_TO_T_UINT_8( 0x99, 0xD6, 0xB1, 0x8F, 0x0E, 0x08, 0x2C, 0x5E ),
3416 BYTES_TO_T_UINT_8( 0x17, 0xE3, 0x8F, 0x2F, 0x0E, 0xA1, 0xF3, 0x07 ),
3417 BYTES_TO_T_UINT_8( 0x1A, 0xF5, 0x7C, 0x9B, 0x29, 0x0A, 0xF6, 0x28 ),
3418};
3419static const mbedtls_mpi_uint brainpoolP384r1_T_10_Y[] = {
3420 BYTES_TO_T_UINT_8( 0xBD, 0xEE, 0x17, 0x47, 0x34, 0x15, 0xA3, 0xAF ),
3421 BYTES_TO_T_UINT_8( 0xFB, 0xBE, 0x88, 0x48, 0xE7, 0xA2, 0xBB, 0xDE ),
3422 BYTES_TO_T_UINT_8( 0xC5, 0xAD, 0xDC, 0x65, 0x61, 0x37, 0x0F, 0xC1 ),
3423 BYTES_TO_T_UINT_8( 0xFA, 0x67, 0xAD, 0xA2, 0x3A, 0x1C, 0x91, 0x78 ),
3424 BYTES_TO_T_UINT_8( 0x55, 0x07, 0x0C, 0x3A, 0x41, 0x6E, 0x13, 0x28 ),
3425 BYTES_TO_T_UINT_8( 0x73, 0xBD, 0x7E, 0xED, 0xAA, 0x14, 0xDD, 0x61 ),
3426};
3427static const mbedtls_mpi_uint brainpoolP384r1_T_11_X[] = {
3428 BYTES_TO_T_UINT_8( 0xC3, 0xDC, 0x20, 0x01, 0x72, 0x11, 0x48, 0x55 ),
3429 BYTES_TO_T_UINT_8( 0x1E, 0xC4, 0x7B, 0xF8, 0x62, 0x3D, 0xF0, 0x9F ),
3430 BYTES_TO_T_UINT_8( 0xE8, 0xC2, 0x3D, 0x2E, 0x52, 0xA3, 0x4A, 0x89 ),
3431 BYTES_TO_T_UINT_8( 0xCE, 0xE2, 0x53, 0x46, 0x5E, 0x21, 0xF8, 0xCE ),
3432 BYTES_TO_T_UINT_8( 0xC2, 0xC7, 0x8F, 0xA9, 0x26, 0x42, 0x32, 0x3A ),
3433 BYTES_TO_T_UINT_8( 0xFB, 0xA6, 0xA0, 0x8D, 0x4B, 0x9A, 0x19, 0x03 ),
3434};
3435static const mbedtls_mpi_uint brainpoolP384r1_T_11_Y[] = {
3436 BYTES_TO_T_UINT_8( 0xEA, 0xAB, 0x6D, 0x1E, 0xFB, 0xEE, 0x60, 0x0C ),
3437 BYTES_TO_T_UINT_8( 0xB6, 0x56, 0x3C, 0xC5, 0x5D, 0x10, 0x79, 0x1C ),
3438 BYTES_TO_T_UINT_8( 0x25, 0xBC, 0x41, 0x9F, 0x71, 0xEF, 0x02, 0xF9 ),
3439 BYTES_TO_T_UINT_8( 0xA2, 0x36, 0xC4, 0xD0, 0x88, 0x9B, 0x32, 0xFC ),
3440 BYTES_TO_T_UINT_8( 0x9C, 0xD4, 0x5D, 0x17, 0x39, 0xE6, 0x22, 0x2C ),
3441 BYTES_TO_T_UINT_8( 0x7B, 0x26, 0x01, 0xCE, 0xBE, 0x4A, 0x9C, 0x27 ),
3442};
3443static const mbedtls_mpi_uint brainpoolP384r1_T_12_X[] = {
3444 BYTES_TO_T_UINT_8( 0xEF, 0x6D, 0x11, 0xCA, 0x6C, 0x5A, 0x93, 0x0C ),
3445 BYTES_TO_T_UINT_8( 0xEB, 0x96, 0x26, 0xAF, 0x2F, 0xE4, 0x30, 0x98 ),
3446 BYTES_TO_T_UINT_8( 0x35, 0xC1, 0x4C, 0xC6, 0x30, 0x1F, 0x5C, 0x04 ),
3447 BYTES_TO_T_UINT_8( 0x59, 0xB3, 0xE8, 0xFC, 0x35, 0xEB, 0x63, 0x6C ),
3448 BYTES_TO_T_UINT_8( 0x9C, 0x1D, 0xCA, 0xFC, 0x50, 0x36, 0x4B, 0x96 ),
3449 BYTES_TO_T_UINT_8( 0xE4, 0x0E, 0x23, 0x5B, 0xAF, 0xEB, 0x2D, 0x31 ),
3450};
3451static const mbedtls_mpi_uint brainpoolP384r1_T_12_Y[] = {
3452 BYTES_TO_T_UINT_8( 0xC6, 0x88, 0xB6, 0xD7, 0x74, 0x4A, 0x23, 0xB6 ),
3453 BYTES_TO_T_UINT_8( 0xEF, 0x66, 0xE2, 0xBB, 0x29, 0xA6, 0x4F, 0x55 ),
3454 BYTES_TO_T_UINT_8( 0xE9, 0x6F, 0x7E, 0x68, 0x6E, 0xA0, 0x14, 0x94 ),
3455 BYTES_TO_T_UINT_8( 0x3B, 0x73, 0xD4, 0xE8, 0xAB, 0x5B, 0xF6, 0x0D ),
3456 BYTES_TO_T_UINT_8( 0x46, 0xE0, 0x3C, 0x24, 0x00, 0x95, 0xE9, 0xAD ),
3457 BYTES_TO_T_UINT_8( 0x37, 0x0D, 0x4F, 0x81, 0xD0, 0xF2, 0x3F, 0x00 ),
3458};
3459static const mbedtls_mpi_uint brainpoolP384r1_T_13_X[] = {
3460 BYTES_TO_T_UINT_8( 0x99, 0x1D, 0xCD, 0x78, 0x39, 0xC4, 0x6B, 0xD9 ),
3461 BYTES_TO_T_UINT_8( 0x81, 0x45, 0xC7, 0xB8, 0x2F, 0xAA, 0x5D, 0xE3 ),
3462 BYTES_TO_T_UINT_8( 0x33, 0x8C, 0x6E, 0xA3, 0x24, 0xB2, 0xDB, 0x4B ),
3463 BYTES_TO_T_UINT_8( 0x69, 0x2D, 0xD9, 0xF1, 0xC7, 0x9B, 0x8A, 0xAF ),
3464 BYTES_TO_T_UINT_8( 0x67, 0xE1, 0x2C, 0xB9, 0x40, 0x37, 0x91, 0x75 ),
3465 BYTES_TO_T_UINT_8( 0x81, 0x2C, 0xB5, 0x23, 0x03, 0x2B, 0xAF, 0x2F ),
3466};
3467static const mbedtls_mpi_uint brainpoolP384r1_T_13_Y[] = {
3468 BYTES_TO_T_UINT_8( 0x2F, 0x9D, 0x5A, 0x20, 0x10, 0xA9, 0x84, 0xDA ),
3469 BYTES_TO_T_UINT_8( 0x61, 0x30, 0x89, 0x20, 0x13, 0xE9, 0xB2, 0xCA ),
3470 BYTES_TO_T_UINT_8( 0xB6, 0x6E, 0x52, 0xEB, 0x03, 0x18, 0x1F, 0xA6 ),
3471 BYTES_TO_T_UINT_8( 0x6C, 0x9E, 0x1C, 0x35, 0x87, 0x92, 0x69, 0xC7 ),
3472 BYTES_TO_T_UINT_8( 0xA1, 0xC9, 0x88, 0xAF, 0xC6, 0x6C, 0x83, 0x72 ),
3473 BYTES_TO_T_UINT_8( 0xCB, 0xD5, 0x7A, 0x54, 0x34, 0x99, 0xB6, 0x6F ),
3474};
3475static const mbedtls_mpi_uint brainpoolP384r1_T_14_X[] = {
3476 BYTES_TO_T_UINT_8( 0xDF, 0xAD, 0x45, 0x9B, 0x4B, 0x41, 0x4D, 0x50 ),
3477 BYTES_TO_T_UINT_8( 0x1B, 0x5D, 0xAB, 0x7F, 0x35, 0x34, 0xE9, 0x29 ),
3478 BYTES_TO_T_UINT_8( 0x73, 0xBE, 0x78, 0x34, 0x44, 0xF3, 0x4A, 0x87 ),
3479 BYTES_TO_T_UINT_8( 0xFB, 0xDE, 0xE3, 0xC4, 0xEE, 0x0B, 0xF9, 0xEB ),
3480 BYTES_TO_T_UINT_8( 0x5E, 0x86, 0x16, 0x48, 0x32, 0xB8, 0x74, 0x41 ),
3481 BYTES_TO_T_UINT_8( 0xF2, 0xEE, 0x7C, 0xBA, 0xBD, 0x81, 0xE3, 0x55 ),
3482};
3483static const mbedtls_mpi_uint brainpoolP384r1_T_14_Y[] = {
3484 BYTES_TO_T_UINT_8( 0xF8, 0x6A, 0xFA, 0x84, 0xDA, 0xB8, 0xD5, 0x14 ),
3485 BYTES_TO_T_UINT_8( 0xB2, 0x9F, 0x8A, 0xD5, 0x1B, 0x2E, 0x1A, 0x0B ),
3486 BYTES_TO_T_UINT_8( 0x5F, 0x0C, 0x61, 0xE2, 0xFF, 0x5B, 0xE6, 0xD5 ),
3487 BYTES_TO_T_UINT_8( 0x0E, 0x62, 0xC1, 0x87, 0x53, 0x1B, 0x92, 0xA3 ),
3488 BYTES_TO_T_UINT_8( 0x54, 0x90, 0x00, 0xD1, 0x6A, 0x0C, 0x0E, 0x28 ),
3489 BYTES_TO_T_UINT_8( 0x8B, 0x2E, 0xB5, 0x3B, 0x44, 0xB5, 0xA0, 0x78 ),
3490};
3491static const mbedtls_mpi_uint brainpoolP384r1_T_15_X[] = {
3492 BYTES_TO_T_UINT_8( 0xB8, 0x5D, 0x02, 0x58, 0xB5, 0xBE, 0x45, 0x14 ),
3493 BYTES_TO_T_UINT_8( 0xAD, 0xEF, 0x8E, 0x90, 0x4D, 0x2A, 0x32, 0xAC ),
3494 BYTES_TO_T_UINT_8( 0x48, 0x99, 0x75, 0x5C, 0x0A, 0x33, 0x8F, 0x36 ),
3495 BYTES_TO_T_UINT_8( 0xC8, 0x6C, 0x95, 0xD4, 0x1F, 0xF3, 0xEB, 0xDA ),
3496 BYTES_TO_T_UINT_8( 0xC2, 0xE4, 0x4C, 0x91, 0x20, 0xF3, 0x25, 0xEB ),
3497 BYTES_TO_T_UINT_8( 0xF1, 0x95, 0xEB, 0x29, 0x6F, 0x20, 0x34, 0x81 ),
3498};
3499static const mbedtls_mpi_uint brainpoolP384r1_T_15_Y[] = {
3500 BYTES_TO_T_UINT_8( 0x2D, 0x15, 0xE5, 0x13, 0x7E, 0x64, 0x8B, 0xAD ),
3501 BYTES_TO_T_UINT_8( 0xA7, 0xBC, 0x0D, 0x18, 0x7E, 0x37, 0x9E, 0xFA ),
3502 BYTES_TO_T_UINT_8( 0xE8, 0x82, 0x20, 0xF7, 0x2D, 0x7A, 0x77, 0x52 ),
3503 BYTES_TO_T_UINT_8( 0xCB, 0x29, 0xA2, 0xDB, 0x7A, 0xE6, 0x6F, 0xA5 ),
3504 BYTES_TO_T_UINT_8( 0xA0, 0xC6, 0x50, 0x5C, 0xBC, 0xE6, 0x4F, 0xBD ),
3505 BYTES_TO_T_UINT_8( 0x1E, 0x9F, 0xD5, 0xE8, 0xC5, 0x3D, 0xB7, 0x30 ),
3506};
3507static const mbedtls_mpi_uint brainpoolP384r1_T_16_X[] = {
3508 BYTES_TO_T_UINT_8( 0x45, 0x03, 0x55, 0x10, 0xDB, 0xA6, 0x8B, 0x22 ),
3509 BYTES_TO_T_UINT_8( 0x4E, 0x17, 0xAE, 0x78, 0xC9, 0x1D, 0x43, 0xCA ),
3510 BYTES_TO_T_UINT_8( 0x4E, 0x35, 0x49, 0xD4, 0x47, 0x84, 0x8D, 0x20 ),
3511 BYTES_TO_T_UINT_8( 0xF3, 0x95, 0x2F, 0xEA, 0xBC, 0xB4, 0x18, 0xB3 ),
3512 BYTES_TO_T_UINT_8( 0xD4, 0x48, 0xAE, 0x89, 0xF5, 0x65, 0x3D, 0x89 ),
3513 BYTES_TO_T_UINT_8( 0x86, 0xF2, 0x2B, 0x20, 0xD1, 0x75, 0x50, 0x63 ),
3514};
3515static const mbedtls_mpi_uint brainpoolP384r1_T_16_Y[] = {
3516 BYTES_TO_T_UINT_8( 0xAD, 0xE6, 0x5C, 0x2C, 0xE0, 0x7D, 0xDF, 0x2D ),
3517 BYTES_TO_T_UINT_8( 0x3E, 0x07, 0x3E, 0xCE, 0x9F, 0x18, 0xB6, 0x05 ),
3518 BYTES_TO_T_UINT_8( 0x9A, 0xF8, 0xF0, 0xD5, 0xFA, 0x42, 0x1D, 0x6D ),
3519 BYTES_TO_T_UINT_8( 0x41, 0x6C, 0x1D, 0x03, 0xC9, 0x0E, 0x2B, 0x2F ),
3520 BYTES_TO_T_UINT_8( 0x43, 0x18, 0x52, 0xA5, 0xB4, 0x63, 0xE1, 0x06 ),
3521 BYTES_TO_T_UINT_8( 0xB7, 0x0A, 0xD9, 0xC4, 0xFD, 0x16, 0x60, 0x54 ),
3522};
3523static const mbedtls_mpi_uint brainpoolP384r1_T_17_X[] = {
3524 BYTES_TO_T_UINT_8( 0x43, 0x7D, 0xDE, 0xDF, 0x4B, 0x4A, 0xB0, 0xCB ),
3525 BYTES_TO_T_UINT_8( 0xB0, 0x4E, 0x8C, 0x94, 0xC1, 0xE2, 0x85, 0xDF ),
3526 BYTES_TO_T_UINT_8( 0x4F, 0xF0, 0xEA, 0xB5, 0x9B, 0x70, 0xEF, 0x10 ),
3527 BYTES_TO_T_UINT_8( 0x56, 0xC2, 0x39, 0x5D, 0xF3, 0x2C, 0xD9, 0x2C ),
3528 BYTES_TO_T_UINT_8( 0x0D, 0x1C, 0x2E, 0xCC, 0x2F, 0x54, 0x87, 0x80 ),
3529 BYTES_TO_T_UINT_8( 0xB0, 0x72, 0xC7, 0xB5, 0x50, 0xA3, 0x84, 0x77 ),
3530};
3531static const mbedtls_mpi_uint brainpoolP384r1_T_17_Y[] = {
3532 BYTES_TO_T_UINT_8( 0xB7, 0xD1, 0xAF, 0xA9, 0xB4, 0x8B, 0x5D, 0xFA ),
3533 BYTES_TO_T_UINT_8( 0xC8, 0xF6, 0x52, 0x8A, 0xC3, 0x56, 0xA5, 0x5E ),
3534 BYTES_TO_T_UINT_8( 0x3B, 0x52, 0xFF, 0xEA, 0x05, 0x42, 0x77, 0x83 ),
3535 BYTES_TO_T_UINT_8( 0x29, 0x08, 0x90, 0x72, 0x86, 0xC4, 0xC3, 0xB8 ),
3536 BYTES_TO_T_UINT_8( 0x4D, 0x15, 0xF8, 0xF1, 0x16, 0x67, 0xC6, 0xD5 ),
3537 BYTES_TO_T_UINT_8( 0x75, 0x87, 0xAC, 0x8F, 0x71, 0xEC, 0x83, 0x81 ),
3538};
3539static const mbedtls_mpi_uint brainpoolP384r1_T_18_X[] = {
3540 BYTES_TO_T_UINT_8( 0x91, 0xE1, 0xE6, 0x2D, 0x0E, 0x11, 0xA1, 0x62 ),
3541 BYTES_TO_T_UINT_8( 0x74, 0xE2, 0xA8, 0x32, 0xE6, 0xE3, 0x83, 0xD1 ),
3542 BYTES_TO_T_UINT_8( 0x50, 0x56, 0xE5, 0xCD, 0xB7, 0x2B, 0x67, 0x6F ),
3543 BYTES_TO_T_UINT_8( 0xE5, 0xED, 0xC9, 0x65, 0x6D, 0x87, 0xE1, 0x8E ),
3544 BYTES_TO_T_UINT_8( 0x50, 0x8E, 0xFD, 0x9A, 0x53, 0x0E, 0xFA, 0xA3 ),
3545 BYTES_TO_T_UINT_8( 0x49, 0x4C, 0x4A, 0xE2, 0x23, 0x84, 0xFA, 0x01 ),
3546};
3547static const mbedtls_mpi_uint brainpoolP384r1_T_18_Y[] = {
3548 BYTES_TO_T_UINT_8( 0xB4, 0xFE, 0x49, 0x81, 0xD1, 0x3E, 0xF4, 0x7C ),
3549 BYTES_TO_T_UINT_8( 0x45, 0x72, 0xE0, 0xEF, 0x0D, 0xB8, 0x3E, 0x6F ),
3550 BYTES_TO_T_UINT_8( 0x3C, 0x00, 0x0F, 0x5F, 0xCE, 0x60, 0x72, 0x2C ),
3551 BYTES_TO_T_UINT_8( 0xB7, 0xCC, 0xD8, 0x03, 0x07, 0x6E, 0x5A, 0xCD ),
3552 BYTES_TO_T_UINT_8( 0x27, 0x3A, 0x35, 0x50, 0x4E, 0x1F, 0xCA, 0x5F ),
3553 BYTES_TO_T_UINT_8( 0x58, 0xEA, 0x88, 0x55, 0xBD, 0x6E, 0x05, 0x7F ),
3554};
3555static const mbedtls_mpi_uint brainpoolP384r1_T_19_X[] = {
3556 BYTES_TO_T_UINT_8( 0xB1, 0x6D, 0xF1, 0x97, 0xA6, 0x69, 0x39, 0x24 ),
3557 BYTES_TO_T_UINT_8( 0x0B, 0x41, 0x99, 0xFF, 0x3B, 0xA1, 0x26, 0xEC ),
3558 BYTES_TO_T_UINT_8( 0x95, 0x2F, 0x95, 0x80, 0x12, 0x4A, 0x1B, 0xCB ),
3559 BYTES_TO_T_UINT_8( 0xEA, 0xBF, 0x51, 0xAA, 0xAE, 0x2D, 0xDA, 0xCF ),
3560 BYTES_TO_T_UINT_8( 0x0C, 0x1C, 0xB3, 0x52, 0x36, 0x49, 0xD4, 0x86 ),
3561 BYTES_TO_T_UINT_8( 0x99, 0xC1, 0x1F, 0x3A, 0xD3, 0x3E, 0x5C, 0x1A ),
3562};
3563static const mbedtls_mpi_uint brainpoolP384r1_T_19_Y[] = {
3564 BYTES_TO_T_UINT_8( 0x73, 0x51, 0xF7, 0x2B, 0xC8, 0xA9, 0xA7, 0x15 ),
3565 BYTES_TO_T_UINT_8( 0x12, 0x4E, 0x7F, 0x98, 0x41, 0x66, 0xB0, 0x03 ),
3566 BYTES_TO_T_UINT_8( 0x91, 0x1D, 0xC0, 0x42, 0xCD, 0xF8, 0xC3, 0x2B ),
3567 BYTES_TO_T_UINT_8( 0xCC, 0x41, 0x91, 0x7D, 0xCC, 0x8B, 0xCC, 0x41 ),
3568 BYTES_TO_T_UINT_8( 0x2A, 0xAE, 0x76, 0xED, 0x56, 0x18, 0xC5, 0xAB ),
3569 BYTES_TO_T_UINT_8( 0xAB, 0x6A, 0x06, 0xA3, 0x7F, 0x65, 0x10, 0x1F ),
3570};
3571static const mbedtls_mpi_uint brainpoolP384r1_T_20_X[] = {
3572 BYTES_TO_T_UINT_8( 0x0C, 0xEC, 0x3C, 0x05, 0x05, 0xCA, 0xF6, 0xED ),
3573 BYTES_TO_T_UINT_8( 0x48, 0xCD, 0x02, 0x51, 0x12, 0x16, 0x3C, 0x63 ),
3574 BYTES_TO_T_UINT_8( 0xA8, 0xEB, 0xB3, 0x43, 0x7B, 0xDD, 0xB2, 0x7C ),
3575 BYTES_TO_T_UINT_8( 0x00, 0x59, 0x90, 0x41, 0xDB, 0xE4, 0xF5, 0x91 ),
3576 BYTES_TO_T_UINT_8( 0xD0, 0x0E, 0x18, 0x2A, 0x5A, 0x83, 0x7C, 0x2F ),
3577 BYTES_TO_T_UINT_8( 0xE1, 0x37, 0xA1, 0x0D, 0xF1, 0x2F, 0x63, 0x79 ),
3578};
3579static const mbedtls_mpi_uint brainpoolP384r1_T_20_Y[] = {
3580 BYTES_TO_T_UINT_8( 0x21, 0xC0, 0xFA, 0x6F, 0x1F, 0x67, 0xCF, 0xEC ),
3581 BYTES_TO_T_UINT_8( 0x98, 0x34, 0x45, 0xBB, 0xF4, 0xF9, 0x9B, 0x89 ),
3582 BYTES_TO_T_UINT_8( 0xF5, 0x69, 0xFE, 0x67, 0x1D, 0x64, 0x8F, 0xB9 ),
3583 BYTES_TO_T_UINT_8( 0xDB, 0x39, 0xBF, 0xD8, 0xB3, 0xC7, 0xAD, 0x8A ),
3584 BYTES_TO_T_UINT_8( 0x8C, 0x93, 0xFF, 0xF3, 0x28, 0xFA, 0x39, 0xF6 ),
3585 BYTES_TO_T_UINT_8( 0xFA, 0xF9, 0xC3, 0x85, 0x26, 0x7A, 0x88, 0x89 ),
3586};
3587static const mbedtls_mpi_uint brainpoolP384r1_T_21_X[] = {
3588 BYTES_TO_T_UINT_8( 0x4D, 0xD5, 0x79, 0xD8, 0x11, 0xDE, 0xEB, 0x4E ),
3589 BYTES_TO_T_UINT_8( 0x1C, 0x46, 0xA4, 0x6A, 0xDA, 0x74, 0x34, 0xA8 ),
3590 BYTES_TO_T_UINT_8( 0x1E, 0xBD, 0xD3, 0xF5, 0x14, 0xEE, 0xFE, 0xAE ),
3591 BYTES_TO_T_UINT_8( 0x19, 0x4C, 0xA3, 0x71, 0x43, 0x65, 0xF8, 0x94 ),
3592 BYTES_TO_T_UINT_8( 0x72, 0x6C, 0x35, 0xFA, 0x90, 0x25, 0xD8, 0xE2 ),
3593 BYTES_TO_T_UINT_8( 0xBB, 0x34, 0x84, 0x96, 0xA1, 0x43, 0x03, 0x4D ),
3594};
3595static const mbedtls_mpi_uint brainpoolP384r1_T_21_Y[] = {
3596 BYTES_TO_T_UINT_8( 0xF1, 0x3B, 0x3B, 0x2F, 0xCA, 0x59, 0xF2, 0x42 ),
3597 BYTES_TO_T_UINT_8( 0xCD, 0x48, 0x24, 0x74, 0xD8, 0x72, 0x90, 0xA3 ),
3598 BYTES_TO_T_UINT_8( 0x83, 0x42, 0x74, 0x8C, 0x6F, 0x52, 0x19, 0x3D ),
3599 BYTES_TO_T_UINT_8( 0x40, 0x9E, 0x41, 0x63, 0x68, 0x78, 0x4C, 0x2F ),
3600 BYTES_TO_T_UINT_8( 0x53, 0x94, 0xB6, 0x6B, 0x38, 0x52, 0xA8, 0x9F ),
3601 BYTES_TO_T_UINT_8( 0x81, 0x30, 0x25, 0x93, 0xA1, 0x6F, 0x6E, 0x68 ),
3602};
3603static const mbedtls_mpi_uint brainpoolP384r1_T_22_X[] = {
3604 BYTES_TO_T_UINT_8( 0xFC, 0x2F, 0x4B, 0x64, 0x79, 0x50, 0xFF, 0x01 ),
3605 BYTES_TO_T_UINT_8( 0xD4, 0x36, 0xED, 0x57, 0x39, 0x3B, 0xE7, 0xF3 ),
3606 BYTES_TO_T_UINT_8( 0xF1, 0x85, 0xEA, 0x35, 0xD6, 0xC0, 0xA0, 0x52 ),
3607 BYTES_TO_T_UINT_8( 0xBA, 0x89, 0x3A, 0xCC, 0x22, 0x1C, 0x46, 0x02 ),
3608 BYTES_TO_T_UINT_8( 0x6C, 0x7A, 0xB0, 0xA1, 0x1B, 0x69, 0x62, 0x55 ),
3609 BYTES_TO_T_UINT_8( 0x57, 0xB8, 0x8A, 0x6C, 0x18, 0x85, 0x0D, 0x88 ),
3610};
3611static const mbedtls_mpi_uint brainpoolP384r1_T_22_Y[] = {
3612 BYTES_TO_T_UINT_8( 0xFD, 0xB6, 0x50, 0xE9, 0x4E, 0x7F, 0xE8, 0x07 ),
3613 BYTES_TO_T_UINT_8( 0x92, 0x5B, 0x5C, 0xD1, 0x4B, 0x11, 0x9A, 0xD8 ),
3614 BYTES_TO_T_UINT_8( 0x96, 0x25, 0x56, 0x74, 0x51, 0x9C, 0xEC, 0x9C ),
3615 BYTES_TO_T_UINT_8( 0x55, 0x7F, 0xB6, 0x8A, 0xCB, 0x3A, 0x10, 0x6A ),
3616 BYTES_TO_T_UINT_8( 0x60, 0x33, 0x07, 0x01, 0xE9, 0x49, 0x59, 0xE6 ),
3617 BYTES_TO_T_UINT_8( 0xC6, 0xA5, 0x2E, 0xF2, 0xBA, 0x32, 0x63, 0x44 ),
3618};
3619static const mbedtls_mpi_uint brainpoolP384r1_T_23_X[] = {
3620 BYTES_TO_T_UINT_8( 0xF8, 0x06, 0x0B, 0xA5, 0x44, 0x27, 0x7F, 0x22 ),
3621 BYTES_TO_T_UINT_8( 0x30, 0x74, 0xAC, 0x0F, 0xCC, 0x4F, 0x13, 0x61 ),
3622 BYTES_TO_T_UINT_8( 0xFD, 0xB1, 0xBF, 0x97, 0x49, 0xA5, 0x1C, 0x1D ),
3623 BYTES_TO_T_UINT_8( 0x8A, 0x64, 0x68, 0x7B, 0x0F, 0xCC, 0x77, 0xF8 ),
3624 BYTES_TO_T_UINT_8( 0xBB, 0x39, 0xF9, 0x4E, 0x84, 0x9C, 0xF6, 0x96 ),
3625 BYTES_TO_T_UINT_8( 0xBC, 0xCF, 0x6D, 0xE2, 0xA1, 0x2D, 0xF9, 0x2B ),
3626};
3627static const mbedtls_mpi_uint brainpoolP384r1_T_23_Y[] = {
3628 BYTES_TO_T_UINT_8( 0x95, 0xC4, 0x90, 0x57, 0x31, 0x01, 0x05, 0x5E ),
3629 BYTES_TO_T_UINT_8( 0xCC, 0x1E, 0xBB, 0xBF, 0x98, 0xA4, 0x7C, 0xE3 ),
3630 BYTES_TO_T_UINT_8( 0x89, 0xE3, 0xA0, 0xB2, 0xCD, 0x39, 0x9A, 0x3F ),
3631 BYTES_TO_T_UINT_8( 0x92, 0x34, 0x60, 0x7A, 0x89, 0x98, 0xB5, 0x52 ),
3632 BYTES_TO_T_UINT_8( 0x8D, 0x20, 0x3D, 0x3A, 0x04, 0x8F, 0x5A, 0xAC ),
3633 BYTES_TO_T_UINT_8( 0xA3, 0x26, 0xB6, 0x49, 0x09, 0x9C, 0x0F, 0x59 ),
3634};
3635static const mbedtls_mpi_uint brainpoolP384r1_T_24_X[] = {
3636 BYTES_TO_T_UINT_8( 0x72, 0x66, 0xD2, 0x38, 0x2A, 0x62, 0x81, 0xCA ),
3637 BYTES_TO_T_UINT_8( 0xC5, 0xC8, 0x20, 0x5E, 0x28, 0xA3, 0x81, 0xA7 ),
3638 BYTES_TO_T_UINT_8( 0x20, 0x31, 0xA4, 0xF1, 0xEA, 0x7D, 0x87, 0x45 ),
3639 BYTES_TO_T_UINT_8( 0x8F, 0x2C, 0x99, 0x09, 0x6F, 0x63, 0xEB, 0x2F ),
3640 BYTES_TO_T_UINT_8( 0x73, 0x76, 0xDA, 0x1A, 0x06, 0xBE, 0xDE, 0xA2 ),
3641 BYTES_TO_T_UINT_8( 0x29, 0x09, 0x2E, 0x75, 0x39, 0x30, 0x2D, 0x42 ),
3642};
3643static const mbedtls_mpi_uint brainpoolP384r1_T_24_Y[] = {
3644 BYTES_TO_T_UINT_8( 0x41, 0x9B, 0xC1, 0x5A, 0x17, 0xC3, 0x8C, 0x31 ),
3645 BYTES_TO_T_UINT_8( 0x58, 0x8D, 0x94, 0x4D, 0x3D, 0xAB, 0x60, 0xD4 ),
3646 BYTES_TO_T_UINT_8( 0xFF, 0xFD, 0x1E, 0x0F, 0x43, 0xAE, 0x9D, 0x62 ),
3647 BYTES_TO_T_UINT_8( 0x8E, 0xF2, 0xF3, 0x20, 0x1B, 0xAA, 0xB7, 0x41 ),
3648 BYTES_TO_T_UINT_8( 0x9D, 0x5B, 0xA4, 0xF4, 0x90, 0x3B, 0xE3, 0x71 ),
3649 BYTES_TO_T_UINT_8( 0xF7, 0x78, 0x72, 0xBD, 0x65, 0x09, 0x0B, 0x01 ),
3650};
3651static const mbedtls_mpi_uint brainpoolP384r1_T_25_X[] = {
3652 BYTES_TO_T_UINT_8( 0xCA, 0x37, 0x2A, 0x6C, 0x16, 0x4F, 0x64, 0x59 ),
3653 BYTES_TO_T_UINT_8( 0x5A, 0xCE, 0xA3, 0x90, 0xB4, 0x9A, 0xBC, 0xF7 ),
3654 BYTES_TO_T_UINT_8( 0x27, 0x38, 0x55, 0x63, 0x1D, 0x3A, 0x6E, 0x18 ),
3655 BYTES_TO_T_UINT_8( 0x37, 0xB4, 0xAA, 0x99, 0x22, 0x45, 0x89, 0x2C ),
3656 BYTES_TO_T_UINT_8( 0xB7, 0x7C, 0x8C, 0xA6, 0x3D, 0xA7, 0x3E, 0xE8 ),
3657 BYTES_TO_T_UINT_8( 0x70, 0x06, 0x42, 0xDC, 0xA6, 0xE3, 0xC6, 0x12 ),
3658};
3659static const mbedtls_mpi_uint brainpoolP384r1_T_25_Y[] = {
3660 BYTES_TO_T_UINT_8( 0x55, 0x8C, 0x3D, 0x5D, 0x47, 0x31, 0x7C, 0xEB ),
3661 BYTES_TO_T_UINT_8( 0x46, 0x85, 0xEE, 0x46, 0x7E, 0x13, 0x04, 0x41 ),
3662 BYTES_TO_T_UINT_8( 0x9E, 0x3C, 0x8B, 0x43, 0x2E, 0x74, 0xF5, 0xF6 ),
3663 BYTES_TO_T_UINT_8( 0xBA, 0x88, 0x8E, 0x07, 0x29, 0x08, 0x03, 0x26 ),
3664 BYTES_TO_T_UINT_8( 0xEA, 0x9B, 0x89, 0xEB, 0x08, 0xE8, 0x43, 0xB5 ),
3665 BYTES_TO_T_UINT_8( 0x17, 0x07, 0x67, 0xFD, 0xD9, 0x73, 0x6F, 0x18 ),
3666};
3667static const mbedtls_mpi_uint brainpoolP384r1_T_26_X[] = {
3668 BYTES_TO_T_UINT_8( 0x29, 0xEB, 0x21, 0x8D, 0x98, 0x43, 0x74, 0x98 ),
3669 BYTES_TO_T_UINT_8( 0x88, 0xCC, 0x14, 0xD8, 0x08, 0xBB, 0xA6, 0xE3 ),
3670 BYTES_TO_T_UINT_8( 0xC4, 0x98, 0xF2, 0x6A, 0x18, 0xC3, 0xDD, 0x9E ),
3671 BYTES_TO_T_UINT_8( 0xC7, 0x38, 0x91, 0xA0, 0x03, 0xF2, 0x04, 0x62 ),
3672 BYTES_TO_T_UINT_8( 0x7A, 0xAF, 0xE8, 0xFD, 0xFB, 0x13, 0x70, 0x74 ),
3673 BYTES_TO_T_UINT_8( 0xD0, 0x93, 0x87, 0x98, 0x4A, 0xE0, 0x00, 0x12 ),
3674};
3675static const mbedtls_mpi_uint brainpoolP384r1_T_26_Y[] = {
3676 BYTES_TO_T_UINT_8( 0x97, 0x2E, 0x69, 0x9C, 0xA2, 0x2D, 0x03, 0x3F ),
3677 BYTES_TO_T_UINT_8( 0x79, 0xFE, 0xF3, 0xB9, 0xC1, 0x85, 0x2A, 0xEE ),
3678 BYTES_TO_T_UINT_8( 0xCE, 0xFD, 0x86, 0xB1, 0xCD, 0xBF, 0x41, 0xB7 ),
3679 BYTES_TO_T_UINT_8( 0xA0, 0xD8, 0x9A, 0x21, 0xF3, 0xFE, 0xCB, 0xF1 ),
3680 BYTES_TO_T_UINT_8( 0x95, 0x78, 0x04, 0x60, 0xB7, 0xA9, 0xA2, 0x84 ),
3681 BYTES_TO_T_UINT_8( 0xE8, 0x1E, 0x66, 0x2A, 0x54, 0x51, 0xBD, 0x8B ),
3682};
3683static const mbedtls_mpi_uint brainpoolP384r1_T_27_X[] = {
3684 BYTES_TO_T_UINT_8( 0x8E, 0x16, 0x36, 0xEF, 0x61, 0x2D, 0xEE, 0x3B ),
3685 BYTES_TO_T_UINT_8( 0x45, 0x5F, 0x88, 0xA0, 0x13, 0x12, 0xF7, 0x23 ),
3686 BYTES_TO_T_UINT_8( 0xA9, 0xC6, 0xAD, 0x4A, 0x4A, 0x07, 0x01, 0x5B ),
3687 BYTES_TO_T_UINT_8( 0xB8, 0x74, 0xB1, 0x4F, 0xEB, 0xBD, 0xD5, 0x6B ),
3688 BYTES_TO_T_UINT_8( 0x57, 0xF9, 0x71, 0xA2, 0x06, 0x4F, 0xD7, 0xBC ),
3689 BYTES_TO_T_UINT_8( 0xFF, 0x8B, 0x4D, 0x48, 0xE0, 0x98, 0xFB, 0x6A ),
3690};
3691static const mbedtls_mpi_uint brainpoolP384r1_T_27_Y[] = {
3692 BYTES_TO_T_UINT_8( 0xC4, 0xBA, 0x10, 0xA3, 0x0D, 0x52, 0xAC, 0x3A ),
3693 BYTES_TO_T_UINT_8( 0x11, 0xD0, 0xE0, 0x36, 0xE6, 0x07, 0x3A, 0x30 ),
3694 BYTES_TO_T_UINT_8( 0x7E, 0x80, 0xF0, 0xAA, 0x49, 0x22, 0x4B, 0xDD ),
3695 BYTES_TO_T_UINT_8( 0xFF, 0xC7, 0xAB, 0x1C, 0x89, 0xCD, 0x24, 0x40 ),
3696 BYTES_TO_T_UINT_8( 0x82, 0x2A, 0xFC, 0xB3, 0x6D, 0x45, 0x96, 0x49 ),
3697 BYTES_TO_T_UINT_8( 0x63, 0xE4, 0xDB, 0x52, 0x3F, 0xC4, 0xB4, 0x19 ),
3698};
3699static const mbedtls_mpi_uint brainpoolP384r1_T_28_X[] = {
3700 BYTES_TO_T_UINT_8( 0x5B, 0xCC, 0xC8, 0x7F, 0xBB, 0x6B, 0x87, 0x47 ),
3701 BYTES_TO_T_UINT_8( 0xC0, 0x21, 0x3C, 0x69, 0x7D, 0x38, 0x57, 0x50 ),
3702 BYTES_TO_T_UINT_8( 0x52, 0x4C, 0x18, 0x3C, 0x53, 0xA5, 0x48, 0x6D ),
3703 BYTES_TO_T_UINT_8( 0x21, 0xC3, 0x64, 0x45, 0xDB, 0xC4, 0x6D, 0x15 ),
3704 BYTES_TO_T_UINT_8( 0x49, 0xCC, 0xD1, 0xBB, 0x17, 0xB8, 0x34, 0x2D ),
3705 BYTES_TO_T_UINT_8( 0x6C, 0x69, 0x71, 0xFA, 0xA0, 0x28, 0x4A, 0x3D ),
3706};
3707static const mbedtls_mpi_uint brainpoolP384r1_T_28_Y[] = {
3708 BYTES_TO_T_UINT_8( 0xED, 0xE8, 0x9E, 0x39, 0xEA, 0x8D, 0x38, 0xDB ),
3709 BYTES_TO_T_UINT_8( 0xCC, 0x9C, 0xBB, 0xCD, 0x80, 0x1A, 0xEE, 0xB7 ),
3710 BYTES_TO_T_UINT_8( 0xBC, 0xA0, 0x45, 0xBF, 0xD9, 0x22, 0x11, 0x32 ),
3711 BYTES_TO_T_UINT_8( 0xDA, 0x7C, 0x5C, 0xD9, 0xC0, 0x9F, 0x69, 0xF5 ),
3712 BYTES_TO_T_UINT_8( 0xBC, 0x8A, 0xA6, 0x79, 0x4E, 0x35, 0xB9, 0xD5 ),
3713 BYTES_TO_T_UINT_8( 0xCC, 0x8B, 0x9A, 0x3E, 0xA1, 0xB8, 0x28, 0x10 ),
3714};
3715static const mbedtls_mpi_uint brainpoolP384r1_T_29_X[] = {
3716 BYTES_TO_T_UINT_8( 0x55, 0x2F, 0xEF, 0xBB, 0xA9, 0x72, 0x7F, 0xEA ),
3717 BYTES_TO_T_UINT_8( 0xB5, 0x34, 0xB7, 0x12, 0xB9, 0xE7, 0xC3, 0x2A ),
3718 BYTES_TO_T_UINT_8( 0xF8, 0x1D, 0xD9, 0x42, 0x77, 0x0C, 0x71, 0x6E ),
3719 BYTES_TO_T_UINT_8( 0xEC, 0x01, 0x59, 0xA7, 0x56, 0x03, 0x91, 0x8D ),
3720 BYTES_TO_T_UINT_8( 0x6C, 0x91, 0x99, 0x33, 0x30, 0x3E, 0xEF, 0x13 ),
3721 BYTES_TO_T_UINT_8( 0x87, 0xC9, 0x5A, 0x9A, 0x54, 0x66, 0xF1, 0x70 ),
3722};
3723static const mbedtls_mpi_uint brainpoolP384r1_T_29_Y[] = {
3724 BYTES_TO_T_UINT_8( 0x64, 0x2C, 0xB7, 0x6E, 0x71, 0x7D, 0x35, 0x30 ),
3725 BYTES_TO_T_UINT_8( 0x1A, 0x0D, 0xEF, 0xD1, 0x2D, 0x99, 0x63, 0x2F ),
3726 BYTES_TO_T_UINT_8( 0xE4, 0x31, 0xAF, 0x2D, 0xC9, 0xC6, 0xC2, 0xAE ),
3727 BYTES_TO_T_UINT_8( 0x19, 0xC0, 0xDF, 0x80, 0x54, 0xC4, 0xAC, 0xF3 ),
3728 BYTES_TO_T_UINT_8( 0xE3, 0x6B, 0xA0, 0x84, 0x96, 0xF7, 0x31, 0xC8 ),
3729 BYTES_TO_T_UINT_8( 0x93, 0xE2, 0x7C, 0x7A, 0x41, 0x45, 0x75, 0x6A ),
3730};
3731static const mbedtls_mpi_uint brainpoolP384r1_T_30_X[] = {
3732 BYTES_TO_T_UINT_8( 0xAE, 0xEE, 0x58, 0x31, 0xE8, 0x68, 0xD6, 0x76 ),
3733 BYTES_TO_T_UINT_8( 0xD2, 0x2E, 0x48, 0xB7, 0x09, 0x9F, 0xD4, 0xCA ),
3734 BYTES_TO_T_UINT_8( 0x34, 0xA9, 0x5C, 0xE7, 0x64, 0x43, 0x5D, 0xC9 ),
3735 BYTES_TO_T_UINT_8( 0x9E, 0x58, 0x9F, 0x50, 0xAB, 0x68, 0xFF, 0x6D ),
3736 BYTES_TO_T_UINT_8( 0x87, 0x88, 0x2D, 0xBA, 0x12, 0xBF, 0x8D, 0x7D ),
3737 BYTES_TO_T_UINT_8( 0xD4, 0xDF, 0x6F, 0xB3, 0x75, 0xA4, 0x55, 0x73 ),
3738};
3739static const mbedtls_mpi_uint brainpoolP384r1_T_30_Y[] = {
3740 BYTES_TO_T_UINT_8( 0x6D, 0x17, 0x92, 0x39, 0xB7, 0x13, 0x37, 0x6F ),
3741 BYTES_TO_T_UINT_8( 0x5E, 0x43, 0x71, 0xA7, 0xCA, 0x17, 0x1B, 0x32 ),
3742 BYTES_TO_T_UINT_8( 0xE7, 0xB9, 0xB0, 0x78, 0xEF, 0xA0, 0xDA, 0x83 ),
3743 BYTES_TO_T_UINT_8( 0x9A, 0x84, 0xF2, 0x0F, 0x85, 0xA2, 0xB6, 0x1F ),
3744 BYTES_TO_T_UINT_8( 0x72, 0x65, 0x2E, 0x6E, 0x45, 0xB9, 0x4C, 0x3C ),
3745 BYTES_TO_T_UINT_8( 0xFE, 0x6A, 0x8C, 0x2B, 0x77, 0x96, 0x36, 0x22 ),
3746};
3747static const mbedtls_mpi_uint brainpoolP384r1_T_31_X[] = {
3748 BYTES_TO_T_UINT_8( 0x68, 0x7A, 0x13, 0x4A, 0x97, 0x63, 0x02, 0x10 ),
3749 BYTES_TO_T_UINT_8( 0xBC, 0x1E, 0x06, 0x03, 0x8F, 0xB9, 0xEE, 0x64 ),
3750 BYTES_TO_T_UINT_8( 0x68, 0xEE, 0x8B, 0x89, 0xA9, 0x70, 0xDB, 0xCE ),
3751 BYTES_TO_T_UINT_8( 0x15, 0x7B, 0x81, 0xC9, 0x70, 0x8D, 0x62, 0x32 ),
3752 BYTES_TO_T_UINT_8( 0x75, 0xDA, 0x46, 0xF8, 0xF9, 0x3A, 0xBE, 0x55 ),
3753 BYTES_TO_T_UINT_8( 0x9F, 0x9C, 0x7A, 0x97, 0x62, 0xEB, 0xFA, 0x0F ),
3754};
3755static const mbedtls_mpi_uint brainpoolP384r1_T_31_Y[] = {
3756 BYTES_TO_T_UINT_8( 0xB2, 0x03, 0x3D, 0x3C, 0x46, 0x27, 0x9E, 0x65 ),
3757 BYTES_TO_T_UINT_8( 0xA4, 0x08, 0x1C, 0xD5, 0x25, 0xAF, 0xE9, 0x40 ),
3758 BYTES_TO_T_UINT_8( 0xFE, 0x69, 0xDC, 0x59, 0xF4, 0x8A, 0x7C, 0x1F ),
3759 BYTES_TO_T_UINT_8( 0xFC, 0x9A, 0x7A, 0x99, 0x21, 0x0C, 0x4E, 0xE3 ),
3760 BYTES_TO_T_UINT_8( 0xF5, 0xCE, 0x85, 0x5F, 0xAC, 0xAA, 0x82, 0x10 ),
3761 BYTES_TO_T_UINT_8( 0x83, 0x57, 0x69, 0x90, 0x76, 0xF3, 0x53, 0x3F ),
3762};
3763static const mbedtls_ecp_point brainpoolP384r1_T[32] = {
3764 ECP_POINT_INIT_XY_Z1(brainpoolP384r1_T_0_X, brainpoolP384r1_T_0_Y),
3765 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_1_X, brainpoolP384r1_T_1_Y),
3766 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_2_X, brainpoolP384r1_T_2_Y),
3767 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_3_X, brainpoolP384r1_T_3_Y),
3768 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_4_X, brainpoolP384r1_T_4_Y),
3769 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_5_X, brainpoolP384r1_T_5_Y),
3770 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_6_X, brainpoolP384r1_T_6_Y),
3771 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_7_X, brainpoolP384r1_T_7_Y),
3772 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_8_X, brainpoolP384r1_T_8_Y),
3773 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_9_X, brainpoolP384r1_T_9_Y),
3774 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_10_X, brainpoolP384r1_T_10_Y),
3775 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_11_X, brainpoolP384r1_T_11_Y),
3776 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_12_X, brainpoolP384r1_T_12_Y),
3777 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_13_X, brainpoolP384r1_T_13_Y),
3778 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_14_X, brainpoolP384r1_T_14_Y),
3779 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_15_X, brainpoolP384r1_T_15_Y),
3780 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_16_X, brainpoolP384r1_T_16_Y),
3781 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_17_X, brainpoolP384r1_T_17_Y),
3782 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_18_X, brainpoolP384r1_T_18_Y),
3783 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_19_X, brainpoolP384r1_T_19_Y),
3784 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_20_X, brainpoolP384r1_T_20_Y),
3785 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_21_X, brainpoolP384r1_T_21_Y),
3786 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_22_X, brainpoolP384r1_T_22_Y),
3787 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_23_X, brainpoolP384r1_T_23_Y),
3788 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_24_X, brainpoolP384r1_T_24_Y),
3789 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_25_X, brainpoolP384r1_T_25_Y),
3790 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_26_X, brainpoolP384r1_T_26_Y),
3791 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_27_X, brainpoolP384r1_T_27_Y),
3792 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_28_X, brainpoolP384r1_T_28_Y),
3793 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_29_X, brainpoolP384r1_T_29_Y),
3794 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_30_X, brainpoolP384r1_T_30_Y),
3795 ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_31_X, brainpoolP384r1_T_31_Y),
3796};
3797#else
3798#define brainpoolP384r1_T NULL
3799#endif
3800
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02003801#endif /* MBEDTLS_ECP_DP_BP384R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01003802
3803/*
3804 * Domain parameters for brainpoolP512r1 (RFC 5639 3.7)
3805 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02003806#if defined(MBEDTLS_ECP_DP_BP512R1_ENABLED)
3807static const mbedtls_mpi_uint brainpoolP512r1_p[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +01003808 BYTES_TO_T_UINT_8( 0xF3, 0x48, 0x3A, 0x58, 0x56, 0x60, 0xAA, 0x28 ),
3809 BYTES_TO_T_UINT_8( 0x85, 0xC6, 0x82, 0x2D, 0x2F, 0xFF, 0x81, 0x28 ),
3810 BYTES_TO_T_UINT_8( 0xE6, 0x80, 0xA3, 0xE6, 0x2A, 0xA1, 0xCD, 0xAE ),
3811 BYTES_TO_T_UINT_8( 0x42, 0x68, 0xC6, 0x9B, 0x00, 0x9B, 0x4D, 0x7D ),
3812 BYTES_TO_T_UINT_8( 0x71, 0x08, 0x33, 0x70, 0xCA, 0x9C, 0x63, 0xD6 ),
3813 BYTES_TO_T_UINT_8( 0x0E, 0xD2, 0xC9, 0xB3, 0xB3, 0x8D, 0x30, 0xCB ),
3814 BYTES_TO_T_UINT_8( 0x07, 0xFC, 0xC9, 0x33, 0xAE, 0xE6, 0xD4, 0x3F ),
3815 BYTES_TO_T_UINT_8( 0x8B, 0xC4, 0xE9, 0xDB, 0xB8, 0x9D, 0xDD, 0xAA ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01003816};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02003817static const mbedtls_mpi_uint brainpoolP512r1_a[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +01003818 BYTES_TO_T_UINT_8( 0xCA, 0x94, 0xFC, 0x77, 0x4D, 0xAC, 0xC1, 0xE7 ),
3819 BYTES_TO_T_UINT_8( 0xB9, 0xC7, 0xF2, 0x2B, 0xA7, 0x17, 0x11, 0x7F ),
3820 BYTES_TO_T_UINT_8( 0xB5, 0xC8, 0x9A, 0x8B, 0xC9, 0xF1, 0x2E, 0x0A ),
3821 BYTES_TO_T_UINT_8( 0xA1, 0x3A, 0x25, 0xA8, 0x5A, 0x5D, 0xED, 0x2D ),
3822 BYTES_TO_T_UINT_8( 0xBC, 0x63, 0x98, 0xEA, 0xCA, 0x41, 0x34, 0xA8 ),
3823 BYTES_TO_T_UINT_8( 0x10, 0x16, 0xF9, 0x3D, 0x8D, 0xDD, 0xCB, 0x94 ),
3824 BYTES_TO_T_UINT_8( 0xC5, 0x4C, 0x23, 0xAC, 0x45, 0x71, 0x32, 0xE2 ),
3825 BYTES_TO_T_UINT_8( 0x89, 0x3B, 0x60, 0x8B, 0x31, 0xA3, 0x30, 0x78 ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01003826};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02003827static const mbedtls_mpi_uint brainpoolP512r1_b[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +01003828 BYTES_TO_T_UINT_8( 0x23, 0xF7, 0x16, 0x80, 0x63, 0xBD, 0x09, 0x28 ),
3829 BYTES_TO_T_UINT_8( 0xDD, 0xE5, 0xBA, 0x5E, 0xB7, 0x50, 0x40, 0x98 ),
3830 BYTES_TO_T_UINT_8( 0x67, 0x3E, 0x08, 0xDC, 0xCA, 0x94, 0xFC, 0x77 ),
3831 BYTES_TO_T_UINT_8( 0x4D, 0xAC, 0xC1, 0xE7, 0xB9, 0xC7, 0xF2, 0x2B ),
3832 BYTES_TO_T_UINT_8( 0xA7, 0x17, 0x11, 0x7F, 0xB5, 0xC8, 0x9A, 0x8B ),
3833 BYTES_TO_T_UINT_8( 0xC9, 0xF1, 0x2E, 0x0A, 0xA1, 0x3A, 0x25, 0xA8 ),
3834 BYTES_TO_T_UINT_8( 0x5A, 0x5D, 0xED, 0x2D, 0xBC, 0x63, 0x98, 0xEA ),
3835 BYTES_TO_T_UINT_8( 0xCA, 0x41, 0x34, 0xA8, 0x10, 0x16, 0xF9, 0x3D ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01003836};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02003837static const mbedtls_mpi_uint brainpoolP512r1_gx[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +01003838 BYTES_TO_T_UINT_8( 0x22, 0xF8, 0xB9, 0xBC, 0x09, 0x22, 0x35, 0x8B ),
3839 BYTES_TO_T_UINT_8( 0x68, 0x5E, 0x6A, 0x40, 0x47, 0x50, 0x6D, 0x7C ),
3840 BYTES_TO_T_UINT_8( 0x5F, 0x7D, 0xB9, 0x93, 0x7B, 0x68, 0xD1, 0x50 ),
3841 BYTES_TO_T_UINT_8( 0x8D, 0xD4, 0xD0, 0xE2, 0x78, 0x1F, 0x3B, 0xFF ),
3842 BYTES_TO_T_UINT_8( 0x8E, 0x09, 0xD0, 0xF4, 0xEE, 0x62, 0x3B, 0xB4 ),
3843 BYTES_TO_T_UINT_8( 0xC1, 0x16, 0xD9, 0xB5, 0x70, 0x9F, 0xED, 0x85 ),
3844 BYTES_TO_T_UINT_8( 0x93, 0x6A, 0x4C, 0x9C, 0x2E, 0x32, 0x21, 0x5A ),
3845 BYTES_TO_T_UINT_8( 0x64, 0xD9, 0x2E, 0xD8, 0xBD, 0xE4, 0xAE, 0x81 ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01003846};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02003847static const mbedtls_mpi_uint brainpoolP512r1_gy[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +01003848 BYTES_TO_T_UINT_8( 0x92, 0x08, 0xD8, 0x3A, 0x0F, 0x1E, 0xCD, 0x78 ),
3849 BYTES_TO_T_UINT_8( 0x06, 0x54, 0xF0, 0xA8, 0x2F, 0x2B, 0xCA, 0xD1 ),
3850 BYTES_TO_T_UINT_8( 0xAE, 0x63, 0x27, 0x8A, 0xD8, 0x4B, 0xCA, 0x5B ),
3851 BYTES_TO_T_UINT_8( 0x5E, 0x48, 0x5F, 0x4A, 0x49, 0xDE, 0xDC, 0xB2 ),
3852 BYTES_TO_T_UINT_8( 0x11, 0x81, 0x1F, 0x88, 0x5B, 0xC5, 0x00, 0xA0 ),
3853 BYTES_TO_T_UINT_8( 0x1A, 0x7B, 0xA5, 0x24, 0x00, 0xF7, 0x09, 0xF2 ),
3854 BYTES_TO_T_UINT_8( 0xFD, 0x22, 0x78, 0xCF, 0xA9, 0xBF, 0xEA, 0xC0 ),
3855 BYTES_TO_T_UINT_8( 0xEC, 0x32, 0x63, 0x56, 0x5D, 0x38, 0xDE, 0x7D ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01003856};
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02003857static const mbedtls_mpi_uint brainpoolP512r1_n[] = {
Manuel Pégourié-Gonnard95b45b72013-12-11 12:03:23 +01003858 BYTES_TO_T_UINT_8( 0x69, 0x00, 0xA9, 0x9C, 0x82, 0x96, 0x87, 0xB5 ),
3859 BYTES_TO_T_UINT_8( 0xDD, 0xDA, 0x5D, 0x08, 0x81, 0xD3, 0xB1, 0x1D ),
3860 BYTES_TO_T_UINT_8( 0x47, 0x10, 0xAC, 0x7F, 0x19, 0x61, 0x86, 0x41 ),
3861 BYTES_TO_T_UINT_8( 0x19, 0x26, 0xA9, 0x4C, 0x41, 0x5C, 0x3E, 0x55 ),
3862 BYTES_TO_T_UINT_8( 0x70, 0x08, 0x33, 0x70, 0xCA, 0x9C, 0x63, 0xD6 ),
3863 BYTES_TO_T_UINT_8( 0x0E, 0xD2, 0xC9, 0xB3, 0xB3, 0x8D, 0x30, 0xCB ),
3864 BYTES_TO_T_UINT_8( 0x07, 0xFC, 0xC9, 0x33, 0xAE, 0xE6, 0xD4, 0x3F ),
3865 BYTES_TO_T_UINT_8( 0x8B, 0xC4, 0xE9, 0xDB, 0xB8, 0x9D, 0xDD, 0xAA ),
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01003866};
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01003867
kXuanba9cb762021-04-08 14:32:06 +08003868#if MBEDTLS_ECP_FIXED_POINT_OPTIM == 1
3869static const mbedtls_mpi_uint brainpoolP512r1_T_0_X[] = {
3870 BYTES_TO_T_UINT_8( 0x22, 0xF8, 0xB9, 0xBC, 0x09, 0x22, 0x35, 0x8B ),
3871 BYTES_TO_T_UINT_8( 0x68, 0x5E, 0x6A, 0x40, 0x47, 0x50, 0x6D, 0x7C ),
3872 BYTES_TO_T_UINT_8( 0x5F, 0x7D, 0xB9, 0x93, 0x7B, 0x68, 0xD1, 0x50 ),
3873 BYTES_TO_T_UINT_8( 0x8D, 0xD4, 0xD0, 0xE2, 0x78, 0x1F, 0x3B, 0xFF ),
3874 BYTES_TO_T_UINT_8( 0x8E, 0x09, 0xD0, 0xF4, 0xEE, 0x62, 0x3B, 0xB4 ),
3875 BYTES_TO_T_UINT_8( 0xC1, 0x16, 0xD9, 0xB5, 0x70, 0x9F, 0xED, 0x85 ),
3876 BYTES_TO_T_UINT_8( 0x93, 0x6A, 0x4C, 0x9C, 0x2E, 0x32, 0x21, 0x5A ),
3877 BYTES_TO_T_UINT_8( 0x64, 0xD9, 0x2E, 0xD8, 0xBD, 0xE4, 0xAE, 0x81 ),
3878};
3879static const mbedtls_mpi_uint brainpoolP512r1_T_0_Y[] = {
3880 BYTES_TO_T_UINT_8( 0x92, 0x08, 0xD8, 0x3A, 0x0F, 0x1E, 0xCD, 0x78 ),
3881 BYTES_TO_T_UINT_8( 0x06, 0x54, 0xF0, 0xA8, 0x2F, 0x2B, 0xCA, 0xD1 ),
3882 BYTES_TO_T_UINT_8( 0xAE, 0x63, 0x27, 0x8A, 0xD8, 0x4B, 0xCA, 0x5B ),
3883 BYTES_TO_T_UINT_8( 0x5E, 0x48, 0x5F, 0x4A, 0x49, 0xDE, 0xDC, 0xB2 ),
3884 BYTES_TO_T_UINT_8( 0x11, 0x81, 0x1F, 0x88, 0x5B, 0xC5, 0x00, 0xA0 ),
3885 BYTES_TO_T_UINT_8( 0x1A, 0x7B, 0xA5, 0x24, 0x00, 0xF7, 0x09, 0xF2 ),
3886 BYTES_TO_T_UINT_8( 0xFD, 0x22, 0x78, 0xCF, 0xA9, 0xBF, 0xEA, 0xC0 ),
3887 BYTES_TO_T_UINT_8( 0xEC, 0x32, 0x63, 0x56, 0x5D, 0x38, 0xDE, 0x7D ),
3888};
3889static const mbedtls_mpi_uint brainpoolP512r1_T_1_X[] = {
3890 BYTES_TO_T_UINT_8( 0xEA, 0xE9, 0x6B, 0x8C, 0x6F, 0x9D, 0x88, 0x43 ),
3891 BYTES_TO_T_UINT_8( 0xBB, 0x4F, 0x86, 0x96, 0xA7, 0x56, 0xD1, 0x37 ),
3892 BYTES_TO_T_UINT_8( 0x9D, 0xAB, 0xFA, 0xEE, 0xA7, 0xF5, 0x0E, 0xA6 ),
3893 BYTES_TO_T_UINT_8( 0xE3, 0x40, 0xEF, 0x9E, 0x6D, 0xD6, 0x32, 0x33 ),
3894 BYTES_TO_T_UINT_8( 0xE3, 0xED, 0x56, 0x14, 0x57, 0x1A, 0x8D, 0x69 ),
3895 BYTES_TO_T_UINT_8( 0xA4, 0xED, 0x4D, 0x3A, 0xFA, 0x71, 0x75, 0x6B ),
3896 BYTES_TO_T_UINT_8( 0x66, 0xC5, 0x76, 0x1C, 0x14, 0xBE, 0xB5, 0xCD ),
3897 BYTES_TO_T_UINT_8( 0xE1, 0x5A, 0xCB, 0xE7, 0x36, 0x1D, 0x52, 0x1C ),
3898};
3899static const mbedtls_mpi_uint brainpoolP512r1_T_1_Y[] = {
3900 BYTES_TO_T_UINT_8( 0x6B, 0x8D, 0x7A, 0xEB, 0xA3, 0x8B, 0xD5, 0xB0 ),
3901 BYTES_TO_T_UINT_8( 0x1F, 0xA3, 0x41, 0xF8, 0xAC, 0x9E, 0xAB, 0x74 ),
3902 BYTES_TO_T_UINT_8( 0x12, 0xE3, 0x65, 0x0D, 0x1C, 0xFE, 0x09, 0x2B ),
3903 BYTES_TO_T_UINT_8( 0x3F, 0xCA, 0x13, 0x3F, 0xC5, 0xF9, 0x7E, 0xEC ),
3904 BYTES_TO_T_UINT_8( 0x2C, 0x5D, 0x63, 0x28, 0xA6, 0x89, 0xD3, 0x91 ),
3905 BYTES_TO_T_UINT_8( 0xC9, 0x95, 0x3F, 0x7A, 0x82, 0xD4, 0x77, 0xE3 ),
3906 BYTES_TO_T_UINT_8( 0x34, 0xBB, 0x92, 0x32, 0x00, 0xF4, 0x66, 0x42 ),
3907 BYTES_TO_T_UINT_8( 0xBA, 0x58, 0x31, 0xD1, 0x17, 0x9F, 0x2A, 0x22 ),
3908};
3909static const mbedtls_mpi_uint brainpoolP512r1_T_2_X[] = {
3910 BYTES_TO_T_UINT_8( 0x52, 0x36, 0xA9, 0xCD, 0x80, 0xA5, 0x2D, 0x78 ),
3911 BYTES_TO_T_UINT_8( 0x91, 0x44, 0xAB, 0xCE, 0x71, 0xFF, 0x0C, 0x9B ),
3912 BYTES_TO_T_UINT_8( 0x18, 0x24, 0x58, 0x35, 0x5A, 0x21, 0x32, 0x93 ),
3913 BYTES_TO_T_UINT_8( 0x1B, 0xA6, 0x28, 0xF8, 0x7A, 0x97, 0xAE, 0x8B ),
3914 BYTES_TO_T_UINT_8( 0x84, 0xE7, 0x08, 0xFA, 0x47, 0xC9, 0x55, 0x09 ),
3915 BYTES_TO_T_UINT_8( 0x8D, 0xAC, 0x2E, 0x84, 0xA4, 0xF5, 0x52, 0xC4 ),
3916 BYTES_TO_T_UINT_8( 0xD9, 0x58, 0x05, 0x9D, 0xA7, 0xC8, 0x71, 0xBF ),
3917 BYTES_TO_T_UINT_8( 0xB3, 0x92, 0xB4, 0x92, 0xC1, 0x92, 0xEC, 0x6B ),
3918};
3919static const mbedtls_mpi_uint brainpoolP512r1_T_2_Y[] = {
3920 BYTES_TO_T_UINT_8( 0x4A, 0x48, 0x2D, 0x79, 0x5E, 0x58, 0xE5, 0x69 ),
3921 BYTES_TO_T_UINT_8( 0xB4, 0x85, 0x26, 0xEC, 0xE9, 0x6E, 0xD4, 0x06 ),
3922 BYTES_TO_T_UINT_8( 0x98, 0x68, 0x26, 0x87, 0x38, 0xA2, 0xD2, 0x0B ),
3923 BYTES_TO_T_UINT_8( 0xF7, 0x17, 0x60, 0xCE, 0x75, 0xF8, 0xA5, 0x6F ),
3924 BYTES_TO_T_UINT_8( 0x20, 0x51, 0xDB, 0xA9, 0xAE, 0x87, 0xF1, 0x15 ),
3925 BYTES_TO_T_UINT_8( 0xDD, 0x49, 0x92, 0x3B, 0x19, 0x96, 0xF5, 0xB0 ),
3926 BYTES_TO_T_UINT_8( 0xC4, 0xD5, 0x52, 0x52, 0x8C, 0xCE, 0xFD, 0xFA ),
3927 BYTES_TO_T_UINT_8( 0x24, 0x18, 0x0A, 0xE6, 0xF6, 0xAE, 0x08, 0x41 ),
3928};
3929static const mbedtls_mpi_uint brainpoolP512r1_T_3_X[] = {
3930 BYTES_TO_T_UINT_8( 0x7E, 0x2B, 0xD8, 0x54, 0xCE, 0xB0, 0x57, 0xFE ),
3931 BYTES_TO_T_UINT_8( 0x8A, 0xB0, 0xF8, 0x9E, 0x03, 0x03, 0x3C, 0x5D ),
3932 BYTES_TO_T_UINT_8( 0x93, 0x0E, 0x29, 0x29, 0x00, 0xF3, 0x70, 0xBF ),
3933 BYTES_TO_T_UINT_8( 0x54, 0x33, 0x99, 0x0E, 0x00, 0x5D, 0xFE, 0x4B ),
3934 BYTES_TO_T_UINT_8( 0x46, 0x2D, 0xF2, 0x59, 0x32, 0xCF, 0x03, 0xF4 ),
3935 BYTES_TO_T_UINT_8( 0x3B, 0xC9, 0x72, 0xAE, 0x0C, 0xEF, 0xD1, 0x5B ),
3936 BYTES_TO_T_UINT_8( 0xB6, 0x5A, 0x27, 0xBF, 0x2F, 0x45, 0xF9, 0x51 ),
3937 BYTES_TO_T_UINT_8( 0xD4, 0xBE, 0xE5, 0x2C, 0xFF, 0x5B, 0x1E, 0x88 ),
3938};
3939static const mbedtls_mpi_uint brainpoolP512r1_T_3_Y[] = {
3940 BYTES_TO_T_UINT_8( 0xAA, 0xAC, 0xBB, 0xD8, 0x83, 0xC2, 0x46, 0xF6 ),
3941 BYTES_TO_T_UINT_8( 0xCF, 0xDC, 0xCE, 0x15, 0xB4, 0xEF, 0xCF, 0x46 ),
3942 BYTES_TO_T_UINT_8( 0x46, 0xDB, 0x5E, 0x94, 0x31, 0x0B, 0xB2, 0x7A ),
3943 BYTES_TO_T_UINT_8( 0x3C, 0xB9, 0xE3, 0xE3, 0x11, 0x71, 0x41, 0x1E ),
3944 BYTES_TO_T_UINT_8( 0x36, 0xE3, 0x01, 0xB7, 0x7D, 0xBC, 0x65, 0xBE ),
3945 BYTES_TO_T_UINT_8( 0xFC, 0x07, 0x65, 0x87, 0xA7, 0xE8, 0x48, 0xE3 ),
3946 BYTES_TO_T_UINT_8( 0x66, 0x48, 0x8F, 0xD4, 0x30, 0x8E, 0xB4, 0x6C ),
3947 BYTES_TO_T_UINT_8( 0x86, 0xE0, 0x73, 0xBE, 0x1E, 0xBF, 0x56, 0x36 ),
3948};
3949static const mbedtls_mpi_uint brainpoolP512r1_T_4_X[] = {
3950 BYTES_TO_T_UINT_8( 0xFE, 0x0E, 0x5E, 0x87, 0xC5, 0xAB, 0x0E, 0x3C ),
3951 BYTES_TO_T_UINT_8( 0xB9, 0xF9, 0x5F, 0x80, 0x24, 0x4C, 0x2A, 0xF1 ),
3952 BYTES_TO_T_UINT_8( 0xDE, 0x15, 0x21, 0x54, 0x92, 0x84, 0x8D, 0x6A ),
3953 BYTES_TO_T_UINT_8( 0xA8, 0x8A, 0x47, 0x74, 0xDC, 0x42, 0xB1, 0xF8 ),
3954 BYTES_TO_T_UINT_8( 0x81, 0xF7, 0x30, 0xFD, 0xC1, 0x9B, 0x0C, 0x5B ),
3955 BYTES_TO_T_UINT_8( 0x4E, 0x6C, 0xCC, 0xDF, 0xC5, 0xE3, 0xA9, 0xD5 ),
3956 BYTES_TO_T_UINT_8( 0xD6, 0x67, 0x59, 0x10, 0x5C, 0x51, 0x54, 0x40 ),
3957 BYTES_TO_T_UINT_8( 0xA0, 0x37, 0xFB, 0x6E, 0xB0, 0x78, 0x63, 0x8E ),
3958};
3959static const mbedtls_mpi_uint brainpoolP512r1_T_4_Y[] = {
3960 BYTES_TO_T_UINT_8( 0xA5, 0xEF, 0xC4, 0x39, 0x20, 0xF1, 0x46, 0x66 ),
3961 BYTES_TO_T_UINT_8( 0xE2, 0x62, 0xAE, 0xFF, 0x10, 0xE4, 0xE2, 0xE9 ),
3962 BYTES_TO_T_UINT_8( 0xFF, 0x5C, 0xF5, 0x2E, 0x22, 0x89, 0xE5, 0x82 ),
3963 BYTES_TO_T_UINT_8( 0x89, 0x0C, 0x29, 0xA8, 0x62, 0xAE, 0xDB, 0x65 ),
3964 BYTES_TO_T_UINT_8( 0xD7, 0x9E, 0x0F, 0xCA, 0x87, 0x2A, 0x6F, 0x7B ),
3965 BYTES_TO_T_UINT_8( 0xCE, 0xDC, 0x9B, 0x9F, 0x65, 0xD4, 0xAD, 0x27 ),
3966 BYTES_TO_T_UINT_8( 0xED, 0xC3, 0x08, 0x0F, 0xCF, 0x67, 0xE9, 0xF4 ),
3967 BYTES_TO_T_UINT_8( 0x92, 0x5C, 0xD7, 0xFF, 0x41, 0x9C, 0xCB, 0x26 ),
3968};
3969static const mbedtls_mpi_uint brainpoolP512r1_T_5_X[] = {
3970 BYTES_TO_T_UINT_8( 0x37, 0x25, 0x05, 0x12, 0xAD, 0x73, 0x63, 0x90 ),
3971 BYTES_TO_T_UINT_8( 0xC7, 0x99, 0x07, 0x86, 0x57, 0xE7, 0x94, 0xB1 ),
3972 BYTES_TO_T_UINT_8( 0x00, 0x4B, 0xA5, 0xBF, 0x18, 0xA9, 0xEF, 0x6A ),
3973 BYTES_TO_T_UINT_8( 0xFA, 0x4C, 0xC4, 0x09, 0xF2, 0x2F, 0x0C, 0xAA ),
3974 BYTES_TO_T_UINT_8( 0x8C, 0x3A, 0x04, 0xEA, 0x89, 0x6C, 0x91, 0xB9 ),
3975 BYTES_TO_T_UINT_8( 0x7D, 0x6C, 0x3A, 0xE7, 0xA3, 0xEC, 0x24, 0x7B ),
3976 BYTES_TO_T_UINT_8( 0x16, 0xA1, 0x26, 0x21, 0x04, 0xE3, 0xB9, 0x40 ),
3977 BYTES_TO_T_UINT_8( 0x53, 0x71, 0x4B, 0x7B, 0xC2, 0x89, 0xCD, 0xA2 ),
3978};
3979static const mbedtls_mpi_uint brainpoolP512r1_T_5_Y[] = {
3980 BYTES_TO_T_UINT_8( 0xB7, 0xB9, 0xA8, 0x9D, 0xFD, 0x00, 0x3A, 0x1F ),
3981 BYTES_TO_T_UINT_8( 0x63, 0x41, 0x6C, 0xBB, 0x5A, 0xCA, 0x1F, 0x74 ),
3982 BYTES_TO_T_UINT_8( 0x2A, 0xD7, 0xE2, 0x6C, 0x6B, 0xA7, 0x48, 0xC9 ),
3983 BYTES_TO_T_UINT_8( 0x1E, 0x19, 0xAD, 0xA7, 0xC1, 0x7E, 0x4F, 0x6E ),
3984 BYTES_TO_T_UINT_8( 0xD1, 0xF7, 0x19, 0x3C, 0x06, 0x74, 0x2C, 0x3A ),
3985 BYTES_TO_T_UINT_8( 0xC5, 0x23, 0x4F, 0x0C, 0x09, 0xB0, 0x80, 0x4A ),
3986 BYTES_TO_T_UINT_8( 0x4E, 0x74, 0x34, 0x08, 0x44, 0x7E, 0xA3, 0xDD ),
3987 BYTES_TO_T_UINT_8( 0xFB, 0xCC, 0x8D, 0x12, 0x6E, 0xE1, 0x3D, 0x0B ),
3988};
3989static const mbedtls_mpi_uint brainpoolP512r1_T_6_X[] = {
3990 BYTES_TO_T_UINT_8( 0x38, 0x18, 0xB1, 0x71, 0x02, 0x93, 0xC2, 0xA4 ),
3991 BYTES_TO_T_UINT_8( 0xC9, 0x89, 0x40, 0xE2, 0x1F, 0xE7, 0x5E, 0x68 ),
3992 BYTES_TO_T_UINT_8( 0x50, 0x8E, 0xAE, 0x89, 0x01, 0xD4, 0x0C, 0xEB ),
3993 BYTES_TO_T_UINT_8( 0xAE, 0xDA, 0x58, 0x70, 0x24, 0xF2, 0xE4, 0x5F ),
3994 BYTES_TO_T_UINT_8( 0x6F, 0xC7, 0x1D, 0xD6, 0x4A, 0x6F, 0x66, 0x4F ),
3995 BYTES_TO_T_UINT_8( 0x92, 0x1D, 0x7E, 0x4A, 0x2C, 0xCA, 0xEC, 0x3B ),
3996 BYTES_TO_T_UINT_8( 0xA1, 0x06, 0x7F, 0xA8, 0x99, 0xE4, 0xD3, 0x4E ),
3997 BYTES_TO_T_UINT_8( 0x2A, 0x1D, 0x5A, 0xDF, 0x5E, 0x58, 0x36, 0x49 ),
3998};
3999static const mbedtls_mpi_uint brainpoolP512r1_T_6_Y[] = {
4000 BYTES_TO_T_UINT_8( 0x9C, 0xB9, 0x32, 0x69, 0x1F, 0x72, 0x2A, 0xB3 ),
4001 BYTES_TO_T_UINT_8( 0x1C, 0x73, 0xE2, 0x03, 0x39, 0x35, 0xAA, 0xA8 ),
4002 BYTES_TO_T_UINT_8( 0xEB, 0x5E, 0x5D, 0x48, 0xEF, 0xAE, 0x30, 0xF5 ),
4003 BYTES_TO_T_UINT_8( 0x77, 0x7F, 0x60, 0x19, 0xAF, 0xEC, 0x9D, 0xFC ),
4004 BYTES_TO_T_UINT_8( 0xCA, 0xD9, 0x19, 0xE4, 0x1B, 0x56, 0x15, 0x5F ),
4005 BYTES_TO_T_UINT_8( 0xBC, 0xD7, 0x33, 0x59, 0x1F, 0x43, 0x59, 0x2C ),
4006 BYTES_TO_T_UINT_8( 0xC6, 0xCE, 0xEE, 0xCA, 0xA4, 0x7F, 0x63, 0xD4 ),
4007 BYTES_TO_T_UINT_8( 0xBD, 0x40, 0xC0, 0xF6, 0x19, 0x89, 0x43, 0x20 ),
4008};
4009static const mbedtls_mpi_uint brainpoolP512r1_T_7_X[] = {
4010 BYTES_TO_T_UINT_8( 0xEB, 0x92, 0xEA, 0x07, 0x65, 0x79, 0x86, 0xD3 ),
4011 BYTES_TO_T_UINT_8( 0xFF, 0xB7, 0x13, 0x75, 0xD3, 0xC5, 0x0A, 0xC9 ),
4012 BYTES_TO_T_UINT_8( 0x26, 0x9E, 0xFA, 0xE1, 0x1F, 0x0C, 0xF9, 0x74 ),
4013 BYTES_TO_T_UINT_8( 0xB4, 0x8C, 0xED, 0x5C, 0x21, 0xE9, 0x09, 0xDD ),
4014 BYTES_TO_T_UINT_8( 0xF4, 0x4D, 0xD8, 0x18, 0xC4, 0xF6, 0x36, 0x39 ),
4015 BYTES_TO_T_UINT_8( 0xC7, 0xC9, 0xAC, 0x5C, 0xFA, 0x69, 0xA4, 0xA0 ),
4016 BYTES_TO_T_UINT_8( 0x6B, 0x8C, 0x94, 0x1C, 0x7B, 0x71, 0x36, 0x58 ),
4017 BYTES_TO_T_UINT_8( 0x7C, 0xBD, 0x46, 0xCE, 0xB7, 0x1D, 0x9C, 0x5E ),
4018};
4019static const mbedtls_mpi_uint brainpoolP512r1_T_7_Y[] = {
4020 BYTES_TO_T_UINT_8( 0xEA, 0xD6, 0x96, 0x4B, 0xA6, 0x47, 0xEB, 0xE5 ),
4021 BYTES_TO_T_UINT_8( 0x5F, 0xF1, 0x5F, 0x15, 0xDE, 0x99, 0x6F, 0x66 ),
4022 BYTES_TO_T_UINT_8( 0x21, 0xBD, 0xE5, 0x04, 0xB8, 0xE6, 0xC0, 0x0B ),
4023 BYTES_TO_T_UINT_8( 0x49, 0xD3, 0xF0, 0x04, 0x00, 0xE4, 0x05, 0xDB ),
4024 BYTES_TO_T_UINT_8( 0x96, 0xF3, 0x06, 0xA3, 0x1A, 0xFF, 0xEA, 0x73 ),
4025 BYTES_TO_T_UINT_8( 0x08, 0x32, 0xAA, 0x99, 0x33, 0x09, 0xB6, 0x34 ),
4026 BYTES_TO_T_UINT_8( 0x6E, 0xEF, 0xFC, 0x61, 0x10, 0x42, 0x31, 0x94 ),
4027 BYTES_TO_T_UINT_8( 0x34, 0xF1, 0xF4, 0x33, 0xCF, 0x28, 0x90, 0x9C ),
4028};
4029static const mbedtls_mpi_uint brainpoolP512r1_T_8_X[] = {
4030 BYTES_TO_T_UINT_8( 0x10, 0xDE, 0xF9, 0x88, 0x87, 0x7B, 0xEB, 0xC9 ),
4031 BYTES_TO_T_UINT_8( 0x66, 0xB8, 0xDA, 0xFA, 0xDA, 0x3D, 0xA6, 0x17 ),
4032 BYTES_TO_T_UINT_8( 0xA0, 0xF0, 0x62, 0x82, 0x53, 0x32, 0x55, 0x03 ),
4033 BYTES_TO_T_UINT_8( 0x2F, 0xA5, 0x32, 0x4A, 0x19, 0x11, 0x9C, 0x10 ),
4034 BYTES_TO_T_UINT_8( 0x16, 0xB3, 0x27, 0xE9, 0x75, 0x90, 0x05, 0x2D ),
4035 BYTES_TO_T_UINT_8( 0x63, 0x1C, 0x90, 0x48, 0x77, 0x01, 0x85, 0x1B ),
4036 BYTES_TO_T_UINT_8( 0xC7, 0xD6, 0x9B, 0x84, 0xA8, 0xD7, 0xC5, 0x28 ),
4037 BYTES_TO_T_UINT_8( 0xE1, 0x7A, 0xCB, 0xB3, 0x11, 0x46, 0xD7, 0x99 ),
4038};
4039static const mbedtls_mpi_uint brainpoolP512r1_T_8_Y[] = {
4040 BYTES_TO_T_UINT_8( 0x8B, 0x23, 0xBF, 0x75, 0x75, 0xA1, 0x95, 0x90 ),
4041 BYTES_TO_T_UINT_8( 0x4B, 0x66, 0x5D, 0x34, 0x13, 0xA9, 0x03, 0xBE ),
4042 BYTES_TO_T_UINT_8( 0x29, 0x80, 0x9D, 0x5F, 0xD2, 0x44, 0xE1, 0x62 ),
4043 BYTES_TO_T_UINT_8( 0x96, 0x5D, 0xBD, 0xA8, 0xBF, 0xB4, 0x25, 0x1F ),
4044 BYTES_TO_T_UINT_8( 0x6A, 0x99, 0x1F, 0x53, 0xF1, 0x57, 0xDB, 0xE7 ),
4045 BYTES_TO_T_UINT_8( 0x21, 0x7C, 0xE5, 0xC5, 0x51, 0x0B, 0x4C, 0x9B ),
4046 BYTES_TO_T_UINT_8( 0x6B, 0xB0, 0x1A, 0x9C, 0x16, 0xB0, 0x32, 0x1F ),
4047 BYTES_TO_T_UINT_8( 0xF4, 0xE3, 0xCF, 0xDD, 0x48, 0xB4, 0x7B, 0x33 ),
4048};
4049static const mbedtls_mpi_uint brainpoolP512r1_T_9_X[] = {
4050 BYTES_TO_T_UINT_8( 0xC0, 0xDD, 0x9E, 0x3C, 0x98, 0x0E, 0x77, 0x65 ),
4051 BYTES_TO_T_UINT_8( 0x6C, 0xAB, 0x01, 0xD3, 0x87, 0x74, 0x25, 0x4A ),
4052 BYTES_TO_T_UINT_8( 0x87, 0xA3, 0xE3, 0x76, 0x43, 0x87, 0x12, 0xBD ),
4053 BYTES_TO_T_UINT_8( 0x54, 0xB1, 0x3B, 0x60, 0x66, 0xEB, 0x98, 0x54 ),
4054 BYTES_TO_T_UINT_8( 0xD2, 0x78, 0xC8, 0xD7, 0x4E, 0x75, 0xCA, 0x69 ),
4055 BYTES_TO_T_UINT_8( 0x07, 0xDF, 0x71, 0x19, 0xE7, 0x07, 0x36, 0xB5 ),
4056 BYTES_TO_T_UINT_8( 0x6D, 0xC9, 0xA8, 0x5F, 0x91, 0xBF, 0x47, 0xB2 ),
4057 BYTES_TO_T_UINT_8( 0x80, 0x96, 0x58, 0x96, 0x18, 0xB6, 0xFA, 0x01 ),
4058};
4059static const mbedtls_mpi_uint brainpoolP512r1_T_9_Y[] = {
4060 BYTES_TO_T_UINT_8( 0xD0, 0x2D, 0xA9, 0x9B, 0x86, 0xDB, 0x0C, 0x4C ),
4061 BYTES_TO_T_UINT_8( 0xE4, 0x0B, 0x2D, 0x56, 0x4A, 0xD3, 0x93, 0x8A ),
4062 BYTES_TO_T_UINT_8( 0xB5, 0x15, 0xE2, 0x65, 0x12, 0x86, 0x0E, 0xB2 ),
4063 BYTES_TO_T_UINT_8( 0xB4, 0x41, 0x4D, 0xC1, 0xCB, 0xE4, 0xC3, 0xD7 ),
4064 BYTES_TO_T_UINT_8( 0x6A, 0x53, 0x10, 0xCA, 0xA3, 0xAC, 0x83, 0x26 ),
4065 BYTES_TO_T_UINT_8( 0x3E, 0x01, 0x22, 0x96, 0x10, 0xAD, 0x69, 0xDB ),
4066 BYTES_TO_T_UINT_8( 0x42, 0x46, 0x4E, 0xD8, 0xEA, 0xD6, 0x9D, 0xF3 ),
4067 BYTES_TO_T_UINT_8( 0x43, 0x2F, 0x7F, 0x62, 0x62, 0x80, 0xD0, 0x14 ),
4068};
4069static const mbedtls_mpi_uint brainpoolP512r1_T_10_X[] = {
4070 BYTES_TO_T_UINT_8( 0xB2, 0xDA, 0x00, 0x63, 0x09, 0xBD, 0x6A, 0x83 ),
4071 BYTES_TO_T_UINT_8( 0x0F, 0xD4, 0x6E, 0x48, 0x05, 0xB7, 0xF7, 0x17 ),
4072 BYTES_TO_T_UINT_8( 0x14, 0x4D, 0xD7, 0x00, 0x4A, 0x15, 0x27, 0x7A ),
4073 BYTES_TO_T_UINT_8( 0x3A, 0x15, 0xAA, 0x37, 0x27, 0x34, 0x18, 0x24 ),
4074 BYTES_TO_T_UINT_8( 0x3A, 0x20, 0x2C, 0x84, 0x1B, 0x88, 0xBA, 0x05 ),
4075 BYTES_TO_T_UINT_8( 0xAC, 0x09, 0xD6, 0x04, 0xA2, 0x60, 0x84, 0x72 ),
4076 BYTES_TO_T_UINT_8( 0xC8, 0x04, 0x94, 0x08, 0xD4, 0xED, 0x47, 0xDB ),
4077 BYTES_TO_T_UINT_8( 0x8B, 0xF3, 0xE4, 0x3E, 0xB9, 0x5B, 0x35, 0x42 ),
4078};
4079static const mbedtls_mpi_uint brainpoolP512r1_T_10_Y[] = {
4080 BYTES_TO_T_UINT_8( 0x5F, 0xD8, 0xB6, 0x80, 0xD6, 0xF1, 0x30, 0xDD ),
4081 BYTES_TO_T_UINT_8( 0xD6, 0x14, 0xA6, 0x85, 0xEE, 0xA7, 0xD8, 0x61 ),
4082 BYTES_TO_T_UINT_8( 0xE4, 0x49, 0x2A, 0x1E, 0x7C, 0xE9, 0x2D, 0xEC ),
4083 BYTES_TO_T_UINT_8( 0x3A, 0x87, 0x56, 0x91, 0x03, 0x77, 0x4D, 0x55 ),
4084 BYTES_TO_T_UINT_8( 0x0E, 0x52, 0xD4, 0xAA, 0xF7, 0xFA, 0xB0, 0xC5 ),
4085 BYTES_TO_T_UINT_8( 0x04, 0x5D, 0x11, 0x39, 0xB1, 0xE7, 0x76, 0xAD ),
4086 BYTES_TO_T_UINT_8( 0xD6, 0x13, 0xBC, 0x37, 0x5D, 0x74, 0xCD, 0xC2 ),
4087 BYTES_TO_T_UINT_8( 0xC9, 0x48, 0x14, 0x23, 0x30, 0xF8, 0x46, 0x37 ),
4088};
4089static const mbedtls_mpi_uint brainpoolP512r1_T_11_X[] = {
4090 BYTES_TO_T_UINT_8( 0xAC, 0x27, 0xB0, 0xD9, 0xB2, 0x74, 0xB4, 0xC0 ),
4091 BYTES_TO_T_UINT_8( 0xEA, 0xA6, 0xB9, 0x6F, 0x9F, 0x64, 0x36, 0x92 ),
4092 BYTES_TO_T_UINT_8( 0x2E, 0x2B, 0x78, 0x40, 0x05, 0x2B, 0x7B, 0xA9 ),
4093 BYTES_TO_T_UINT_8( 0xB3, 0x68, 0x3A, 0xB6, 0x4A, 0xE2, 0xDB, 0xB8 ),
4094 BYTES_TO_T_UINT_8( 0x1E, 0x33, 0xD7, 0x34, 0x8B, 0x25, 0x45, 0xEF ),
4095 BYTES_TO_T_UINT_8( 0x89, 0xCE, 0xA8, 0xC9, 0x01, 0xFB, 0x0E, 0x7B ),
4096 BYTES_TO_T_UINT_8( 0xE2, 0xF9, 0x51, 0x4C, 0x12, 0x9F, 0x60, 0xE4 ),
4097 BYTES_TO_T_UINT_8( 0x67, 0x85, 0xBD, 0x30, 0x37, 0x84, 0x39, 0x44 ),
4098};
4099static const mbedtls_mpi_uint brainpoolP512r1_T_11_Y[] = {
4100 BYTES_TO_T_UINT_8( 0x26, 0x33, 0xAF, 0x2E, 0xB8, 0x2E, 0xCC, 0x3C ),
4101 BYTES_TO_T_UINT_8( 0xA4, 0xB1, 0x73, 0x59, 0x4E, 0x0C, 0x09, 0x4A ),
4102 BYTES_TO_T_UINT_8( 0x8A, 0x24, 0x89, 0x81, 0x12, 0xFF, 0xBB, 0x6E ),
4103 BYTES_TO_T_UINT_8( 0x71, 0x37, 0x1A, 0x66, 0xEE, 0xED, 0xB6, 0x9B ),
4104 BYTES_TO_T_UINT_8( 0x16, 0xBD, 0x04, 0x20, 0x5D, 0xFB, 0xBF, 0x95 ),
4105 BYTES_TO_T_UINT_8( 0xA0, 0xF8, 0x34, 0xA3, 0xFF, 0x45, 0xDE, 0x92 ),
4106 BYTES_TO_T_UINT_8( 0x9B, 0x18, 0x73, 0xF1, 0x32, 0x25, 0x58, 0xEB ),
4107 BYTES_TO_T_UINT_8( 0x63, 0xC1, 0x14, 0xE3, 0x9E, 0x40, 0x0F, 0x12 ),
4108};
4109static const mbedtls_mpi_uint brainpoolP512r1_T_12_X[] = {
4110 BYTES_TO_T_UINT_8( 0x61, 0x07, 0x9D, 0x9C, 0x00, 0xF7, 0x56, 0x19 ),
4111 BYTES_TO_T_UINT_8( 0xFB, 0xBA, 0x87, 0xF9, 0x15, 0x0C, 0x66, 0x5D ),
4112 BYTES_TO_T_UINT_8( 0x7E, 0x1F, 0xC1, 0x28, 0xB0, 0x47, 0x0D, 0xF5 ),
4113 BYTES_TO_T_UINT_8( 0x96, 0xCA, 0x27, 0xEE, 0x4B, 0x23, 0x2B, 0x89 ),
4114 BYTES_TO_T_UINT_8( 0x7E, 0xB5, 0x68, 0xC8, 0x17, 0x5D, 0xC3, 0xAA ),
4115 BYTES_TO_T_UINT_8( 0x17, 0x02, 0x08, 0xEE, 0x20, 0x9D, 0xEA, 0x64 ),
4116 BYTES_TO_T_UINT_8( 0xA7, 0x14, 0x50, 0xD4, 0x7D, 0x5F, 0xCF, 0xA0 ),
4117 BYTES_TO_T_UINT_8( 0xD5, 0xFA, 0xF8, 0xA7, 0xC6, 0xDC, 0x14, 0x8C ),
4118};
4119static const mbedtls_mpi_uint brainpoolP512r1_T_12_Y[] = {
4120 BYTES_TO_T_UINT_8( 0x76, 0xBD, 0x0A, 0x1A, 0x18, 0x98, 0xDC, 0xB0 ),
4121 BYTES_TO_T_UINT_8( 0x63, 0x63, 0x02, 0xB7, 0xD5, 0x5B, 0x5A, 0xC6 ),
4122 BYTES_TO_T_UINT_8( 0x51, 0xB1, 0xD7, 0x4B, 0x15, 0x39, 0x61, 0x5D ),
4123 BYTES_TO_T_UINT_8( 0x5C, 0x32, 0xE1, 0x9E, 0x70, 0x1B, 0xCE, 0x51 ),
4124 BYTES_TO_T_UINT_8( 0x64, 0xD8, 0x18, 0x83, 0x52, 0x9B, 0x6D, 0xA2 ),
4125 BYTES_TO_T_UINT_8( 0xA4, 0x55, 0x56, 0x19, 0x34, 0xA4, 0xEA, 0xFC ),
4126 BYTES_TO_T_UINT_8( 0x30, 0xA9, 0x55, 0x80, 0xE3, 0x15, 0x36, 0x8B ),
4127 BYTES_TO_T_UINT_8( 0xBB, 0x06, 0xC8, 0x1D, 0x17, 0x0D, 0xAD, 0x16 ),
4128};
4129static const mbedtls_mpi_uint brainpoolP512r1_T_13_X[] = {
4130 BYTES_TO_T_UINT_8( 0x20, 0xD6, 0xF0, 0xCC, 0xF3, 0x63, 0x53, 0xD2 ),
4131 BYTES_TO_T_UINT_8( 0x27, 0x5A, 0xDC, 0x46, 0xBD, 0x0D, 0xAD, 0x96 ),
4132 BYTES_TO_T_UINT_8( 0x21, 0x2F, 0x11, 0x60, 0x15, 0x51, 0x4A, 0xEA ),
4133 BYTES_TO_T_UINT_8( 0x33, 0xE3, 0x93, 0x38, 0xD5, 0x83, 0xAA, 0x0D ),
4134 BYTES_TO_T_UINT_8( 0x90, 0xA6, 0xCC, 0xB1, 0xFD, 0xBB, 0x1A, 0x0F ),
4135 BYTES_TO_T_UINT_8( 0x3B, 0x54, 0xC8, 0x54, 0x6F, 0x79, 0x1A, 0x59 ),
4136 BYTES_TO_T_UINT_8( 0x3F, 0x4A, 0xDA, 0x28, 0x92, 0x97, 0x9D, 0x7F ),
4137 BYTES_TO_T_UINT_8( 0xD6, 0x4B, 0xDB, 0xC7, 0x52, 0xC5, 0x66, 0x34 ),
4138};
4139static const mbedtls_mpi_uint brainpoolP512r1_T_13_Y[] = {
4140 BYTES_TO_T_UINT_8( 0x05, 0x7E, 0x92, 0x53, 0x30, 0x93, 0xFD, 0xFF ),
4141 BYTES_TO_T_UINT_8( 0xA0, 0x16, 0x6A, 0xB1, 0x91, 0x0A, 0xB4, 0x52 ),
4142 BYTES_TO_T_UINT_8( 0x6D, 0x9D, 0x40, 0x3F, 0xE3, 0xF1, 0x01, 0x46 ),
4143 BYTES_TO_T_UINT_8( 0x13, 0x0E, 0xD8, 0xED, 0x11, 0x8E, 0x4C, 0xED ),
4144 BYTES_TO_T_UINT_8( 0x86, 0x4A, 0x1B, 0x88, 0xDF, 0x8D, 0x29, 0xE7 ),
4145 BYTES_TO_T_UINT_8( 0x97, 0x23, 0x21, 0x11, 0xAB, 0x77, 0x81, 0x62 ),
4146 BYTES_TO_T_UINT_8( 0x0B, 0xAF, 0x11, 0xFA, 0xBA, 0x40, 0x63, 0xE7 ),
4147 BYTES_TO_T_UINT_8( 0x2B, 0x6F, 0x8D, 0x80, 0xDF, 0x67, 0xF5, 0x44 ),
4148};
4149static const mbedtls_mpi_uint brainpoolP512r1_T_14_X[] = {
4150 BYTES_TO_T_UINT_8( 0xB2, 0x8B, 0xB7, 0x08, 0xF4, 0xD7, 0x2D, 0xA8 ),
4151 BYTES_TO_T_UINT_8( 0xC7, 0x2B, 0x30, 0x02, 0x45, 0x71, 0x08, 0x49 ),
4152 BYTES_TO_T_UINT_8( 0x97, 0x3A, 0xCA, 0x50, 0xF6, 0xC2, 0x19, 0x8C ),
4153 BYTES_TO_T_UINT_8( 0x17, 0xB9, 0x9B, 0x3E, 0x73, 0x95, 0x1D, 0x49 ),
4154 BYTES_TO_T_UINT_8( 0xB6, 0x60, 0x59, 0x48, 0xCB, 0xD8, 0xD6, 0xAA ),
4155 BYTES_TO_T_UINT_8( 0xF0, 0xB9, 0x6C, 0x89, 0xAB, 0x99, 0xA8, 0xF8 ),
4156 BYTES_TO_T_UINT_8( 0xEF, 0xA1, 0x8B, 0x4E, 0x06, 0x19, 0xEC, 0x99 ),
4157 BYTES_TO_T_UINT_8( 0x70, 0x95, 0x04, 0xCF, 0xD5, 0x94, 0xB3, 0x02 ),
4158};
4159static const mbedtls_mpi_uint brainpoolP512r1_T_14_Y[] = {
4160 BYTES_TO_T_UINT_8( 0x29, 0x35, 0x93, 0x7C, 0xB3, 0xB8, 0x9E, 0x1B ),
4161 BYTES_TO_T_UINT_8( 0xC4, 0x45, 0x5C, 0x7E, 0xBF, 0x75, 0x81, 0x0F ),
4162 BYTES_TO_T_UINT_8( 0xDC, 0xE8, 0x24, 0xDF, 0xEC, 0x2F, 0x7D, 0xB9 ),
4163 BYTES_TO_T_UINT_8( 0xF2, 0x8B, 0xD5, 0x6A, 0x9B, 0xA0, 0xE0, 0x4F ),
4164 BYTES_TO_T_UINT_8( 0x32, 0xE3, 0x27, 0x82, 0xDE, 0xDD, 0xCA, 0x4B ),
4165 BYTES_TO_T_UINT_8( 0xA7, 0x57, 0x56, 0x46, 0x05, 0x06, 0x01, 0x2E ),
4166 BYTES_TO_T_UINT_8( 0x74, 0x35, 0xA7, 0x47, 0xE2, 0x6B, 0x2C, 0x4F ),
4167 BYTES_TO_T_UINT_8( 0x38, 0x9D, 0x4C, 0xEC, 0x1F, 0x11, 0x75, 0x2B ),
4168};
4169static const mbedtls_mpi_uint brainpoolP512r1_T_15_X[] = {
4170 BYTES_TO_T_UINT_8( 0xAC, 0xAA, 0x41, 0xC1, 0xE9, 0x0E, 0xE9, 0xAA ),
4171 BYTES_TO_T_UINT_8( 0x0A, 0xCF, 0x9C, 0x4B, 0xE8, 0xED, 0x0A, 0x49 ),
4172 BYTES_TO_T_UINT_8( 0x3D, 0x73, 0xCA, 0x0C, 0x46, 0x0A, 0x9C, 0xE4 ),
4173 BYTES_TO_T_UINT_8( 0x99, 0xE1, 0x9E, 0xBC, 0xFE, 0x44, 0x63, 0x6D ),
4174 BYTES_TO_T_UINT_8( 0x31, 0x43, 0x71, 0xEE, 0xF8, 0xC1, 0x8C, 0x5C ),
4175 BYTES_TO_T_UINT_8( 0x6A, 0x4B, 0xF0, 0x69, 0x25, 0xBD, 0x71, 0x1A ),
4176 BYTES_TO_T_UINT_8( 0xFD, 0x9A, 0xFE, 0x82, 0xE7, 0xC1, 0xC1, 0xEE ),
4177 BYTES_TO_T_UINT_8( 0xFC, 0x5A, 0x6E, 0x5E, 0x97, 0x6A, 0x35, 0x8D ),
4178};
4179static const mbedtls_mpi_uint brainpoolP512r1_T_15_Y[] = {
4180 BYTES_TO_T_UINT_8( 0xA2, 0x18, 0x6C, 0x7E, 0xB8, 0x9E, 0x57, 0x32 ),
4181 BYTES_TO_T_UINT_8( 0x35, 0xB9, 0xC1, 0xD0, 0xFE, 0x78, 0xFB, 0x32 ),
4182 BYTES_TO_T_UINT_8( 0x7C, 0x08, 0xAE, 0x46, 0x34, 0xEA, 0x7A, 0x7F ),
4183 BYTES_TO_T_UINT_8( 0xE8, 0x1C, 0x56, 0xA9, 0x18, 0x37, 0xD4, 0x9E ),
4184 BYTES_TO_T_UINT_8( 0x28, 0x63, 0xE9, 0x0A, 0xB6, 0x38, 0x3C, 0xC1 ),
4185 BYTES_TO_T_UINT_8( 0x3E, 0x4F, 0xA4, 0x6E, 0x85, 0x31, 0x23, 0x52 ),
4186 BYTES_TO_T_UINT_8( 0x0D, 0xAD, 0xC4, 0xC3, 0xB1, 0x4B, 0x1C, 0x82 ),
4187 BYTES_TO_T_UINT_8( 0x30, 0x56, 0x4A, 0x38, 0xB3, 0x6B, 0x6F, 0x2C ),
4188};
4189static const mbedtls_mpi_uint brainpoolP512r1_T_16_X[] = {
4190 BYTES_TO_T_UINT_8( 0x67, 0xC7, 0x19, 0xDE, 0x21, 0xED, 0x89, 0xD0 ),
4191 BYTES_TO_T_UINT_8( 0x2F, 0xBE, 0xA6, 0xAE, 0xEB, 0x9D, 0xA7, 0x2A ),
4192 BYTES_TO_T_UINT_8( 0x04, 0x0E, 0x13, 0x1E, 0x86, 0x57, 0xC3, 0x3B ),
4193 BYTES_TO_T_UINT_8( 0x1F, 0x4B, 0x30, 0x46, 0x52, 0xC1, 0xEC, 0x52 ),
4194 BYTES_TO_T_UINT_8( 0x6E, 0xD5, 0x44, 0x31, 0x96, 0x3B, 0x26, 0x27 ),
4195 BYTES_TO_T_UINT_8( 0x77, 0x68, 0xA8, 0x67, 0x78, 0x39, 0xE8, 0x68 ),
4196 BYTES_TO_T_UINT_8( 0x8E, 0x78, 0xB7, 0xDD, 0xF2, 0x58, 0xB6, 0x3D ),
4197 BYTES_TO_T_UINT_8( 0x81, 0x3C, 0xB3, 0x26, 0xC4, 0x2C, 0x8C, 0xA5 ),
4198};
4199static const mbedtls_mpi_uint brainpoolP512r1_T_16_Y[] = {
4200 BYTES_TO_T_UINT_8( 0xB9, 0x24, 0xE5, 0x73, 0xEE, 0x9A, 0x02, 0xA9 ),
4201 BYTES_TO_T_UINT_8( 0xD9, 0x6A, 0x65, 0x60, 0xF3, 0x62, 0xE3, 0xE9 ),
4202 BYTES_TO_T_UINT_8( 0xFB, 0x07, 0x84, 0xE6, 0x3B, 0x46, 0x65, 0x9F ),
4203 BYTES_TO_T_UINT_8( 0xE1, 0x8F, 0x0C, 0xB0, 0xE1, 0x04, 0x82, 0x9D ),
4204 BYTES_TO_T_UINT_8( 0xEB, 0x13, 0xBF, 0x3D, 0xA0, 0x48, 0xA2, 0x74 ),
4205 BYTES_TO_T_UINT_8( 0x08, 0x26, 0x76, 0x74, 0xAB, 0x0B, 0x29, 0xE8 ),
4206 BYTES_TO_T_UINT_8( 0x30, 0x6E, 0x5F, 0x03, 0x34, 0x7C, 0x38, 0xCE ),
4207 BYTES_TO_T_UINT_8( 0x4D, 0x72, 0xF9, 0x3B, 0x3C, 0xA4, 0xBC, 0x7C ),
4208};
4209static const mbedtls_mpi_uint brainpoolP512r1_T_17_X[] = {
4210 BYTES_TO_T_UINT_8( 0x5C, 0xCE, 0x18, 0x80, 0xB8, 0x24, 0x45, 0x81 ),
4211 BYTES_TO_T_UINT_8( 0xF1, 0x09, 0x03, 0xB8, 0x06, 0x64, 0xF7, 0xEC ),
4212 BYTES_TO_T_UINT_8( 0xF1, 0x26, 0xB1, 0x10, 0x6D, 0x71, 0x12, 0x2E ),
4213 BYTES_TO_T_UINT_8( 0xAD, 0x12, 0xC6, 0x6E, 0x1E, 0x6A, 0xC3, 0x80 ),
4214 BYTES_TO_T_UINT_8( 0xE5, 0xD3, 0x0A, 0xDE, 0xD8, 0x6B, 0x04, 0x5C ),
4215 BYTES_TO_T_UINT_8( 0x96, 0x87, 0x5B, 0xAE, 0xDB, 0x3C, 0xC0, 0xC5 ),
4216 BYTES_TO_T_UINT_8( 0x8E, 0xF5, 0xF9, 0xC1, 0x9A, 0x89, 0xBB, 0x7E ),
4217 BYTES_TO_T_UINT_8( 0xED, 0x69, 0x72, 0x8B, 0xAE, 0x32, 0x13, 0x11 ),
4218};
4219static const mbedtls_mpi_uint brainpoolP512r1_T_17_Y[] = {
4220 BYTES_TO_T_UINT_8( 0xF9, 0x16, 0x07, 0x50, 0xFA, 0x4C, 0xCF, 0xE8 ),
4221 BYTES_TO_T_UINT_8( 0xF8, 0x50, 0x21, 0xE9, 0xDE, 0xEC, 0x7E, 0xDF ),
4222 BYTES_TO_T_UINT_8( 0x7C, 0x2F, 0xE8, 0x83, 0x30, 0x0B, 0x65, 0x0E ),
4223 BYTES_TO_T_UINT_8( 0xA5, 0x0B, 0x99, 0xAC, 0xC9, 0xBA, 0x6C, 0x2A ),
4224 BYTES_TO_T_UINT_8( 0xA7, 0x59, 0x5A, 0x0D, 0x7B, 0x9E, 0x08, 0xAD ),
4225 BYTES_TO_T_UINT_8( 0x34, 0x91, 0xB2, 0xDC, 0x90, 0xCE, 0x67, 0xED ),
4226 BYTES_TO_T_UINT_8( 0xE3, 0x93, 0x60, 0x0C, 0xD7, 0x1F, 0x2F, 0x17 ),
4227 BYTES_TO_T_UINT_8( 0x19, 0x7F, 0x9D, 0x40, 0xF8, 0x78, 0x7A, 0x54 ),
4228};
4229static const mbedtls_mpi_uint brainpoolP512r1_T_18_X[] = {
4230 BYTES_TO_T_UINT_8( 0x13, 0x22, 0x95, 0xE8, 0xEF, 0x31, 0x57, 0x35 ),
4231 BYTES_TO_T_UINT_8( 0x2D, 0x88, 0x53, 0xFE, 0xAF, 0x7C, 0x47, 0x14 ),
4232 BYTES_TO_T_UINT_8( 0x0E, 0xCE, 0xCC, 0x79, 0xE8, 0x9F, 0x8C, 0xC4 ),
4233 BYTES_TO_T_UINT_8( 0xDB, 0x16, 0xDD, 0x77, 0x6E, 0x8A, 0x73, 0x97 ),
4234 BYTES_TO_T_UINT_8( 0xC0, 0x07, 0x97, 0x21, 0x3B, 0xF8, 0x5F, 0xA8 ),
4235 BYTES_TO_T_UINT_8( 0xC6, 0xB5, 0xD2, 0x81, 0x84, 0xF0, 0xE7, 0x9F ),
4236 BYTES_TO_T_UINT_8( 0xCB, 0x8F, 0x75, 0x09, 0x6A, 0x0E, 0x53, 0xAD ),
4237 BYTES_TO_T_UINT_8( 0xE6, 0x4F, 0x70, 0x97, 0xC7, 0xAC, 0x7D, 0x3F ),
4238};
4239static const mbedtls_mpi_uint brainpoolP512r1_T_18_Y[] = {
4240 BYTES_TO_T_UINT_8( 0xF9, 0x3C, 0x6A, 0xB4, 0x10, 0xA9, 0xC8, 0x1D ),
4241 BYTES_TO_T_UINT_8( 0xEE, 0xC5, 0xD6, 0x69, 0x16, 0xB8, 0xAC, 0x25 ),
4242 BYTES_TO_T_UINT_8( 0xAC, 0x44, 0xDC, 0xEB, 0x48, 0x54, 0x5D, 0x5F ),
4243 BYTES_TO_T_UINT_8( 0x6F, 0x48, 0x9B, 0xD7, 0x72, 0x69, 0xA4, 0x8A ),
4244 BYTES_TO_T_UINT_8( 0xB4, 0x0D, 0x36, 0x9A, 0x66, 0x0B, 0xEC, 0x24 ),
4245 BYTES_TO_T_UINT_8( 0xBE, 0xC6, 0xD4, 0xB6, 0x60, 0xE5, 0xC3, 0x3A ),
4246 BYTES_TO_T_UINT_8( 0xBA, 0x29, 0x42, 0xE0, 0x9D, 0xFD, 0x7C, 0x3E ),
4247 BYTES_TO_T_UINT_8( 0x43, 0x10, 0xBA, 0x55, 0xBC, 0x3B, 0x38, 0x5D ),
4248};
4249static const mbedtls_mpi_uint brainpoolP512r1_T_19_X[] = {
4250 BYTES_TO_T_UINT_8( 0x25, 0x66, 0xFA, 0x05, 0x73, 0x03, 0x1B, 0x69 ),
4251 BYTES_TO_T_UINT_8( 0x11, 0xA4, 0x66, 0x12, 0x96, 0x7B, 0x02, 0x4C ),
4252 BYTES_TO_T_UINT_8( 0x44, 0xB5, 0xDE, 0x6D, 0x98, 0xD1, 0xD5, 0xA8 ),
4253 BYTES_TO_T_UINT_8( 0xE2, 0xF5, 0x44, 0xB8, 0x8E, 0xF6, 0x8C, 0x05 ),
4254 BYTES_TO_T_UINT_8( 0x68, 0x15, 0x2B, 0x72, 0xBC, 0x49, 0xE5, 0xDF ),
4255 BYTES_TO_T_UINT_8( 0x6C, 0x44, 0xD7, 0xDF, 0x8F, 0xEB, 0x8D, 0x80 ),
4256 BYTES_TO_T_UINT_8( 0x05, 0x64, 0x88, 0xAA, 0xB7, 0xE4, 0x70, 0x1D ),
4257 BYTES_TO_T_UINT_8( 0x9C, 0x14, 0xBB, 0xE9, 0x9B, 0xB9, 0x65, 0x5D ),
4258};
4259static const mbedtls_mpi_uint brainpoolP512r1_T_19_Y[] = {
4260 BYTES_TO_T_UINT_8( 0x66, 0x8E, 0x88, 0xF5, 0xF1, 0xC1, 0x89, 0xA2 ),
4261 BYTES_TO_T_UINT_8( 0x16, 0x30, 0x53, 0xE6, 0xFB, 0x2D, 0x82, 0xB4 ),
4262 BYTES_TO_T_UINT_8( 0xA7, 0xE4, 0xFF, 0xBA, 0x31, 0x79, 0xAB, 0xC2 ),
4263 BYTES_TO_T_UINT_8( 0x45, 0x09, 0xF7, 0xB7, 0x09, 0x78, 0x4C, 0x90 ),
4264 BYTES_TO_T_UINT_8( 0x10, 0xAE, 0xC2, 0x44, 0xDC, 0x17, 0x78, 0x47 ),
4265 BYTES_TO_T_UINT_8( 0xC7, 0xD4, 0x17, 0x43, 0x19, 0x74, 0x9E, 0x23 ),
4266 BYTES_TO_T_UINT_8( 0x15, 0x64, 0x3B, 0x73, 0xA2, 0x99, 0x27, 0x76 ),
4267 BYTES_TO_T_UINT_8( 0x05, 0x74, 0x36, 0x5F, 0xD3, 0x14, 0xB1, 0x31 ),
4268};
4269static const mbedtls_mpi_uint brainpoolP512r1_T_20_X[] = {
4270 BYTES_TO_T_UINT_8( 0xAC, 0x07, 0xAB, 0xFD, 0x9B, 0x03, 0xC5, 0xD5 ),
4271 BYTES_TO_T_UINT_8( 0xC7, 0xBE, 0xB0, 0x1D, 0xF2, 0x0C, 0x73, 0x73 ),
4272 BYTES_TO_T_UINT_8( 0x99, 0xE7, 0x7B, 0x87, 0xD3, 0x34, 0xFD, 0xE2 ),
4273 BYTES_TO_T_UINT_8( 0x9A, 0x25, 0x3D, 0xC7, 0x36, 0x83, 0x53, 0xDC ),
4274 BYTES_TO_T_UINT_8( 0x22, 0x7C, 0xCF, 0x63, 0x55, 0x12, 0x11, 0xB0 ),
4275 BYTES_TO_T_UINT_8( 0xC0, 0x34, 0x4D, 0x27, 0x92, 0xAC, 0x18, 0x16 ),
4276 BYTES_TO_T_UINT_8( 0x98, 0x42, 0x61, 0x9D, 0x2E, 0xFF, 0x13, 0x16 ),
4277 BYTES_TO_T_UINT_8( 0xF4, 0xDE, 0x92, 0x65, 0x57, 0x0D, 0xBC, 0x0A ),
4278};
4279static const mbedtls_mpi_uint brainpoolP512r1_T_20_Y[] = {
4280 BYTES_TO_T_UINT_8( 0xEF, 0x7B, 0x6E, 0xC6, 0x2A, 0x21, 0x74, 0x0A ),
4281 BYTES_TO_T_UINT_8( 0x37, 0xA7, 0x53, 0x4D, 0x29, 0x36, 0xEF, 0xE5 ),
4282 BYTES_TO_T_UINT_8( 0xE1, 0xD6, 0x41, 0xC7, 0x99, 0xAD, 0x50, 0x53 ),
4283 BYTES_TO_T_UINT_8( 0x99, 0xAC, 0x41, 0x9F, 0xFB, 0x4C, 0x86, 0xF1 ),
4284 BYTES_TO_T_UINT_8( 0x8B, 0xBB, 0xE6, 0x25, 0x28, 0xAA, 0xEB, 0x1E ),
4285 BYTES_TO_T_UINT_8( 0x92, 0x04, 0xA2, 0xC3, 0xAA, 0x08, 0x8A, 0xCC ),
4286 BYTES_TO_T_UINT_8( 0x5A, 0x2B, 0x5B, 0xE2, 0x8D, 0x76, 0xEA, 0x34 ),
4287 BYTES_TO_T_UINT_8( 0xB3, 0x33, 0xD2, 0x21, 0x4D, 0x62, 0xE3, 0x8E ),
4288};
4289static const mbedtls_mpi_uint brainpoolP512r1_T_21_X[] = {
4290 BYTES_TO_T_UINT_8( 0xF6, 0x06, 0x8B, 0x2B, 0xC2, 0xC4, 0xB1, 0xD2 ),
4291 BYTES_TO_T_UINT_8( 0xFA, 0xF5, 0xA1, 0xC0, 0x03, 0x6A, 0x29, 0x12 ),
4292 BYTES_TO_T_UINT_8( 0xF5, 0xA9, 0xEF, 0x55, 0xB6, 0x1A, 0x9F, 0x6B ),
4293 BYTES_TO_T_UINT_8( 0x9B, 0x54, 0x32, 0xBE, 0x06, 0x43, 0xB5, 0xFD ),
4294 BYTES_TO_T_UINT_8( 0xF7, 0xD6, 0xD9, 0x20, 0x89, 0xBE, 0xD4, 0x1B ),
4295 BYTES_TO_T_UINT_8( 0xE8, 0x26, 0x95, 0x10, 0xCE, 0xB4, 0x88, 0x79 ),
4296 BYTES_TO_T_UINT_8( 0xE6, 0xA6, 0x27, 0xAC, 0x32, 0xBA, 0xBD, 0xC7 ),
4297 BYTES_TO_T_UINT_8( 0xA3, 0xA6, 0xAE, 0x9C, 0x7B, 0xBE, 0xA1, 0x63 ),
4298};
4299static const mbedtls_mpi_uint brainpoolP512r1_T_21_Y[] = {
4300 BYTES_TO_T_UINT_8( 0x8B, 0xCD, 0x4D, 0x3D, 0xDF, 0x96, 0xBB, 0x7D ),
4301 BYTES_TO_T_UINT_8( 0x77, 0xA7, 0x11, 0x06, 0xCC, 0x0E, 0x31, 0x81 ),
4302 BYTES_TO_T_UINT_8( 0x20, 0xE4, 0xF4, 0xAD, 0x7B, 0x5F, 0xF1, 0xEF ),
4303 BYTES_TO_T_UINT_8( 0xE4, 0x54, 0xBE, 0xF4, 0x8A, 0x03, 0x47, 0xDF ),
4304 BYTES_TO_T_UINT_8( 0xB4, 0x53, 0x00, 0x7F, 0xB0, 0x8A, 0x68, 0xA6 ),
4305 BYTES_TO_T_UINT_8( 0xA0, 0x16, 0xB1, 0x73, 0x6F, 0x5B, 0x0E, 0xC3 ),
4306 BYTES_TO_T_UINT_8( 0x2A, 0x32, 0xE3, 0x43, 0x64, 0x75, 0xFB, 0xFB ),
4307 BYTES_TO_T_UINT_8( 0xA0, 0x18, 0x55, 0x8A, 0x4E, 0x6E, 0x35, 0x54 ),
4308};
4309static const mbedtls_mpi_uint brainpoolP512r1_T_22_X[] = {
4310 BYTES_TO_T_UINT_8( 0x80, 0x97, 0x15, 0x1E, 0xCB, 0xF2, 0x9C, 0xA5 ),
4311 BYTES_TO_T_UINT_8( 0x2B, 0xD1, 0xBB, 0xF3, 0x70, 0xAD, 0x13, 0xAD ),
4312 BYTES_TO_T_UINT_8( 0xD8, 0x96, 0xA4, 0xC5, 0x5E, 0xDA, 0xD5, 0x57 ),
4313 BYTES_TO_T_UINT_8( 0x07, 0x81, 0xE9, 0x65, 0x66, 0x76, 0x47, 0x45 ),
4314 BYTES_TO_T_UINT_8( 0xC9, 0x35, 0x87, 0x06, 0x73, 0xCF, 0x34, 0xD2 ),
4315 BYTES_TO_T_UINT_8( 0x5A, 0x81, 0x15, 0x42, 0xA2, 0x79, 0x5B, 0x42 ),
4316 BYTES_TO_T_UINT_8( 0x08, 0xA2, 0x7D, 0x09, 0x14, 0x64, 0xC6, 0xAE ),
4317 BYTES_TO_T_UINT_8( 0x5E, 0x6D, 0xC4, 0xED, 0xF1, 0xD6, 0xE9, 0x24 ),
4318};
4319static const mbedtls_mpi_uint brainpoolP512r1_T_22_Y[] = {
4320 BYTES_TO_T_UINT_8( 0xB4, 0xD5, 0xBB, 0x25, 0xA3, 0xDD, 0xA3, 0x88 ),
4321 BYTES_TO_T_UINT_8( 0x46, 0xF2, 0x68, 0x67, 0x39, 0x8F, 0x73, 0x93 ),
4322 BYTES_TO_T_UINT_8( 0xF0, 0x76, 0x28, 0x89, 0xAD, 0x32, 0xE0, 0xDF ),
4323 BYTES_TO_T_UINT_8( 0xF8, 0x90, 0xCC, 0x57, 0x58, 0xAA, 0xC9, 0x75 ),
4324 BYTES_TO_T_UINT_8( 0x5E, 0xD7, 0x43, 0xD2, 0xCE, 0x5E, 0xA0, 0x08 ),
4325 BYTES_TO_T_UINT_8( 0x33, 0xB0, 0xB8, 0xA4, 0x9E, 0x96, 0x26, 0x86 ),
4326 BYTES_TO_T_UINT_8( 0x94, 0x61, 0x1D, 0xF3, 0x65, 0x5E, 0x60, 0xCA ),
4327 BYTES_TO_T_UINT_8( 0xC7, 0x1E, 0x65, 0xED, 0xCF, 0x07, 0x60, 0x20 ),
4328};
4329static const mbedtls_mpi_uint brainpoolP512r1_T_23_X[] = {
4330 BYTES_TO_T_UINT_8( 0xA4, 0x30, 0x17, 0x8A, 0x91, 0x88, 0x0A, 0xA4 ),
4331 BYTES_TO_T_UINT_8( 0x05, 0x7D, 0x18, 0xA4, 0xAC, 0x59, 0xFC, 0x5F ),
4332 BYTES_TO_T_UINT_8( 0xA4, 0x31, 0x8B, 0x25, 0x65, 0x39, 0x9A, 0xDC ),
4333 BYTES_TO_T_UINT_8( 0x15, 0x16, 0x4B, 0x68, 0xBA, 0x59, 0x13, 0x2F ),
4334 BYTES_TO_T_UINT_8( 0x8D, 0xFD, 0xD3, 0xC5, 0x56, 0xC9, 0x8C, 0x5E ),
4335 BYTES_TO_T_UINT_8( 0xBC, 0xC6, 0x9F, 0xF4, 0xE6, 0xF7, 0xB4, 0x01 ),
4336 BYTES_TO_T_UINT_8( 0x2D, 0x7C, 0x03, 0x00, 0x26, 0x9F, 0xD8, 0x7B ),
4337 BYTES_TO_T_UINT_8( 0x24, 0x1D, 0x6E, 0x00, 0xB9, 0x00, 0x6E, 0x93 ),
4338};
4339static const mbedtls_mpi_uint brainpoolP512r1_T_23_Y[] = {
4340 BYTES_TO_T_UINT_8( 0x75, 0x63, 0xDA, 0x03, 0x2B, 0xD5, 0x0B, 0xFE ),
4341 BYTES_TO_T_UINT_8( 0x46, 0xFC, 0xE2, 0xC8, 0x47, 0xF0, 0xAE, 0xF2 ),
4342 BYTES_TO_T_UINT_8( 0x51, 0x4C, 0xF7, 0x50, 0x0C, 0x48, 0x06, 0x2A ),
4343 BYTES_TO_T_UINT_8( 0xDF, 0x2B, 0x32, 0x98, 0x0E, 0x7E, 0x61, 0x41 ),
4344 BYTES_TO_T_UINT_8( 0x5D, 0x02, 0x27, 0xFE, 0x75, 0x86, 0xDF, 0x24 ),
4345 BYTES_TO_T_UINT_8( 0x2B, 0x30, 0xB1, 0x22, 0x32, 0x1B, 0xFE, 0x24 ),
4346 BYTES_TO_T_UINT_8( 0xC2, 0x27, 0xF7, 0x78, 0x6F, 0xD7, 0xFD, 0xE4 ),
4347 BYTES_TO_T_UINT_8( 0xA0, 0x78, 0xCC, 0xEA, 0xC0, 0x50, 0x24, 0x44 ),
4348};
4349static const mbedtls_mpi_uint brainpoolP512r1_T_24_X[] = {
4350 BYTES_TO_T_UINT_8( 0x37, 0x2B, 0x4F, 0x7F, 0x58, 0xE6, 0xC2, 0x70 ),
4351 BYTES_TO_T_UINT_8( 0x37, 0x43, 0xD5, 0xA7, 0x35, 0x3C, 0x80, 0xB8 ),
4352 BYTES_TO_T_UINT_8( 0x1A, 0x6D, 0x4B, 0x12, 0x00, 0x7B, 0xE6, 0xA6 ),
4353 BYTES_TO_T_UINT_8( 0x37, 0x15, 0xBD, 0xD0, 0x9B, 0xCA, 0xAA, 0x81 ),
4354 BYTES_TO_T_UINT_8( 0xCF, 0xCE, 0x9C, 0xE3, 0x8B, 0x60, 0x7A, 0x53 ),
4355 BYTES_TO_T_UINT_8( 0x0C, 0xDA, 0x4B, 0x03, 0xA7, 0x8D, 0x43, 0x22 ),
4356 BYTES_TO_T_UINT_8( 0x57, 0xAF, 0x00, 0x2B, 0x32, 0xF0, 0x22, 0x68 ),
4357 BYTES_TO_T_UINT_8( 0xDC, 0xD9, 0x99, 0x99, 0xBE, 0x43, 0x99, 0x3E ),
4358};
4359static const mbedtls_mpi_uint brainpoolP512r1_T_24_Y[] = {
4360 BYTES_TO_T_UINT_8( 0x1F, 0x71, 0x41, 0xF4, 0xB5, 0xFD, 0xDD, 0x36 ),
4361 BYTES_TO_T_UINT_8( 0x9D, 0xE2, 0x20, 0x4C, 0xD1, 0x2E, 0x1F, 0x06 ),
4362 BYTES_TO_T_UINT_8( 0x96, 0x43, 0x48, 0x76, 0x8A, 0x49, 0xAC, 0x87 ),
4363 BYTES_TO_T_UINT_8( 0x0C, 0x1A, 0x55, 0xA8, 0xA3, 0xD4, 0x57, 0x75 ),
4364 BYTES_TO_T_UINT_8( 0x7C, 0xA6, 0x84, 0x39, 0xC9, 0x13, 0xBB, 0x60 ),
4365 BYTES_TO_T_UINT_8( 0xD9, 0xFA, 0xA9, 0x70, 0xDE, 0x83, 0xDD, 0xC9 ),
4366 BYTES_TO_T_UINT_8( 0xEC, 0xC9, 0xD9, 0x3E, 0x44, 0x91, 0x68, 0x7B ),
4367 BYTES_TO_T_UINT_8( 0xB6, 0x9F, 0x85, 0x6D, 0xF7, 0x54, 0x36, 0x82 ),
4368};
4369static const mbedtls_mpi_uint brainpoolP512r1_T_25_X[] = {
4370 BYTES_TO_T_UINT_8( 0x68, 0x6B, 0xA6, 0xA3, 0xE5, 0xD4, 0x46, 0xDB ),
4371 BYTES_TO_T_UINT_8( 0x23, 0x3E, 0xDC, 0x84, 0x7C, 0x7B, 0x24, 0x34 ),
4372 BYTES_TO_T_UINT_8( 0x14, 0xED, 0x7F, 0x86, 0x07, 0x6C, 0x57, 0xCA ),
4373 BYTES_TO_T_UINT_8( 0x95, 0x06, 0xFE, 0x52, 0x12, 0x79, 0x69, 0x56 ),
4374 BYTES_TO_T_UINT_8( 0x84, 0xD1, 0x44, 0x5F, 0x21, 0x3A, 0xC3, 0x84 ),
4375 BYTES_TO_T_UINT_8( 0x5E, 0xD9, 0x4A, 0xC0, 0x75, 0xAB, 0x17, 0xAC ),
4376 BYTES_TO_T_UINT_8( 0xFF, 0x81, 0x94, 0xB6, 0x80, 0x6B, 0x6F, 0xC3 ),
4377 BYTES_TO_T_UINT_8( 0x07, 0xBE, 0x8E, 0xA5, 0xAA, 0xBC, 0x1E, 0x3E ),
4378};
4379static const mbedtls_mpi_uint brainpoolP512r1_T_25_Y[] = {
4380 BYTES_TO_T_UINT_8( 0x89, 0xC7, 0x85, 0xA6, 0x59, 0x9B, 0xB1, 0x52 ),
4381 BYTES_TO_T_UINT_8( 0x1C, 0xCE, 0x40, 0xD1, 0xFB, 0xDF, 0x94, 0xF7 ),
4382 BYTES_TO_T_UINT_8( 0x18, 0xB8, 0x5E, 0xBF, 0x45, 0xA8, 0x2D, 0x2D ),
4383 BYTES_TO_T_UINT_8( 0x98, 0x9C, 0x06, 0x1B, 0xA9, 0x57, 0xB9, 0x79 ),
4384 BYTES_TO_T_UINT_8( 0x53, 0xE9, 0xCE, 0xA2, 0xD3, 0x74, 0xA1, 0x3C ),
4385 BYTES_TO_T_UINT_8( 0xAA, 0x5F, 0x34, 0x78, 0xDB, 0xAE, 0x3A, 0x14 ),
4386 BYTES_TO_T_UINT_8( 0x7D, 0x32, 0x84, 0x3E, 0x68, 0x6A, 0x43, 0x0F ),
4387 BYTES_TO_T_UINT_8( 0x8C, 0xBC, 0x39, 0x36, 0xA4, 0xC5, 0xBB, 0x11 ),
4388};
4389static const mbedtls_mpi_uint brainpoolP512r1_T_26_X[] = {
4390 BYTES_TO_T_UINT_8( 0x8C, 0x07, 0xA2, 0xB5, 0xC9, 0x0F, 0x4D, 0x0F ),
4391 BYTES_TO_T_UINT_8( 0xE3, 0x1D, 0x67, 0xE6, 0xF1, 0x46, 0xEB, 0x71 ),
4392 BYTES_TO_T_UINT_8( 0xD7, 0x41, 0x23, 0x95, 0xE7, 0xE0, 0x10, 0xDD ),
4393 BYTES_TO_T_UINT_8( 0xBE, 0x69, 0xFE, 0x68, 0x8C, 0xC6, 0x5F, 0xB6 ),
4394 BYTES_TO_T_UINT_8( 0xE3, 0xB9, 0x2B, 0x3D, 0xD2, 0x4F, 0xD8, 0x1A ),
4395 BYTES_TO_T_UINT_8( 0xA3, 0x09, 0xF5, 0x5F, 0xCF, 0xF6, 0x91, 0x57 ),
4396 BYTES_TO_T_UINT_8( 0x65, 0x15, 0x42, 0x6B, 0x6D, 0xB5, 0xF3, 0xB6 ),
4397 BYTES_TO_T_UINT_8( 0xBF, 0x56, 0x9D, 0xC5, 0xFF, 0xCA, 0x13, 0x9B ),
4398};
4399static const mbedtls_mpi_uint brainpoolP512r1_T_26_Y[] = {
4400 BYTES_TO_T_UINT_8( 0x4D, 0x38, 0xE6, 0x23, 0x63, 0x48, 0x3C, 0xCA ),
4401 BYTES_TO_T_UINT_8( 0xD2, 0x68, 0x3C, 0xD1, 0x3B, 0xE9, 0x3B, 0x82 ),
4402 BYTES_TO_T_UINT_8( 0xB5, 0x08, 0x54, 0x49, 0xD1, 0x46, 0x45, 0x13 ),
4403 BYTES_TO_T_UINT_8( 0x07, 0x70, 0x52, 0x6E, 0x79, 0xC4, 0x5E, 0x95 ),
4404 BYTES_TO_T_UINT_8( 0x36, 0xDF, 0xE8, 0x5A, 0x32, 0x81, 0xDA, 0xD3 ),
4405 BYTES_TO_T_UINT_8( 0x3C, 0x2D, 0x94, 0x5B, 0xB5, 0x35, 0x9F, 0x0A ),
4406 BYTES_TO_T_UINT_8( 0x2A, 0x12, 0x8D, 0xC3, 0x36, 0x36, 0xB2, 0x2A ),
4407 BYTES_TO_T_UINT_8( 0x39, 0x2F, 0x22, 0x38, 0x5B, 0x18, 0x4C, 0x35 ),
4408};
4409static const mbedtls_mpi_uint brainpoolP512r1_T_27_X[] = {
4410 BYTES_TO_T_UINT_8( 0x10, 0xC1, 0x22, 0x0E, 0xF0, 0x73, 0x11, 0x05 ),
4411 BYTES_TO_T_UINT_8( 0xB2, 0xAE, 0xA4, 0x56, 0x18, 0x61, 0x66, 0x12 ),
4412 BYTES_TO_T_UINT_8( 0x79, 0xFB, 0x72, 0x08, 0x84, 0x38, 0x51, 0xB0 ),
4413 BYTES_TO_T_UINT_8( 0xDA, 0x86, 0xA8, 0xB9, 0x31, 0x99, 0x29, 0xC3 ),
4414 BYTES_TO_T_UINT_8( 0x8A, 0xFB, 0xC3, 0x42, 0xB3, 0xC7, 0x6F, 0x3A ),
4415 BYTES_TO_T_UINT_8( 0xD8, 0xF8, 0xE1, 0x09, 0xBE, 0x75, 0xB0, 0x22 ),
4416 BYTES_TO_T_UINT_8( 0x5A, 0x7D, 0xFF, 0xF4, 0x99, 0xFC, 0x13, 0xAB ),
4417 BYTES_TO_T_UINT_8( 0xE6, 0x1B, 0x84, 0x81, 0x42, 0x22, 0xC6, 0x3D ),
4418};
4419static const mbedtls_mpi_uint brainpoolP512r1_T_27_Y[] = {
4420 BYTES_TO_T_UINT_8( 0x21, 0xE0, 0x37, 0xA4, 0xA0, 0x2F, 0x38, 0x7F ),
4421 BYTES_TO_T_UINT_8( 0xD0, 0x3D, 0xB7, 0x40, 0x2F, 0x39, 0x3C, 0x7A ),
4422 BYTES_TO_T_UINT_8( 0x7A, 0x3B, 0x8A, 0x51, 0xAE, 0x40, 0x49, 0x7A ),
4423 BYTES_TO_T_UINT_8( 0x36, 0x20, 0x9F, 0xDD, 0xA9, 0xD0, 0x77, 0xC7 ),
4424 BYTES_TO_T_UINT_8( 0x78, 0x1D, 0x64, 0xDA, 0xA0, 0x53, 0xC7, 0x7D ),
4425 BYTES_TO_T_UINT_8( 0x37, 0x7B, 0x66, 0x55, 0x94, 0xD1, 0x51, 0x44 ),
4426 BYTES_TO_T_UINT_8( 0x0E, 0xA9, 0xB5, 0x5B, 0x38, 0x35, 0x40, 0xC0 ),
4427 BYTES_TO_T_UINT_8( 0xC8, 0xC9, 0x0F, 0xF0, 0x73, 0x79, 0x43, 0x61 ),
4428};
4429static const mbedtls_mpi_uint brainpoolP512r1_T_28_X[] = {
4430 BYTES_TO_T_UINT_8( 0x10, 0x47, 0x45, 0x69, 0x80, 0x72, 0x72, 0x42 ),
4431 BYTES_TO_T_UINT_8( 0x70, 0x11, 0x99, 0x59, 0xDB, 0x48, 0x80, 0x39 ),
4432 BYTES_TO_T_UINT_8( 0x75, 0x6E, 0x3D, 0xFC, 0x37, 0x15, 0xF4, 0xBF ),
4433 BYTES_TO_T_UINT_8( 0x17, 0xBB, 0x5B, 0xA6, 0x35, 0x8D, 0x28, 0x20 ),
4434 BYTES_TO_T_UINT_8( 0xAB, 0x1A, 0x3B, 0x2C, 0x8F, 0xD3, 0xAA, 0x2D ),
4435 BYTES_TO_T_UINT_8( 0x55, 0x1C, 0x1A, 0xF8, 0x02, 0xD9, 0x7B, 0x41 ),
4436 BYTES_TO_T_UINT_8( 0xAF, 0x69, 0xAC, 0xF8, 0x54, 0x31, 0x14, 0xA1 ),
4437 BYTES_TO_T_UINT_8( 0x41, 0x8A, 0xE6, 0xDE, 0x58, 0xB9, 0xC4, 0x7A ),
4438};
4439static const mbedtls_mpi_uint brainpoolP512r1_T_28_Y[] = {
4440 BYTES_TO_T_UINT_8( 0x57, 0x83, 0x52, 0xFE, 0xF9, 0x7B, 0xE9, 0x1F ),
4441 BYTES_TO_T_UINT_8( 0x07, 0xA2, 0x55, 0x46, 0x15, 0x49, 0xC1, 0x3A ),
4442 BYTES_TO_T_UINT_8( 0x1D, 0xBC, 0x5C, 0x91, 0xBD, 0xB9, 0x9C, 0xF4 ),
4443 BYTES_TO_T_UINT_8( 0xBB, 0xFD, 0xB1, 0x4E, 0x5F, 0x74, 0xEE, 0x53 ),
4444 BYTES_TO_T_UINT_8( 0xB1, 0x8B, 0xD8, 0x8B, 0x17, 0x73, 0x1B, 0x96 ),
4445 BYTES_TO_T_UINT_8( 0x22, 0x92, 0xD7, 0x67, 0x06, 0xAD, 0x25, 0xCD ),
4446 BYTES_TO_T_UINT_8( 0x01, 0x0F, 0x80, 0x24, 0xE2, 0x27, 0x5F, 0x8B ),
4447 BYTES_TO_T_UINT_8( 0x61, 0x1C, 0xCE, 0xD0, 0x67, 0xCA, 0xD4, 0x0B ),
4448};
4449static const mbedtls_mpi_uint brainpoolP512r1_T_29_X[] = {
4450 BYTES_TO_T_UINT_8( 0x87, 0xF1, 0xDD, 0x33, 0x66, 0xF9, 0x05, 0xD6 ),
4451 BYTES_TO_T_UINT_8( 0x1D, 0xE5, 0x6B, 0x79, 0xBD, 0x48, 0x42, 0xAA ),
4452 BYTES_TO_T_UINT_8( 0xD1, 0x14, 0x52, 0xE3, 0x53, 0xB4, 0x50, 0xD4 ),
4453 BYTES_TO_T_UINT_8( 0x32, 0x84, 0x6C, 0xCF, 0xDA, 0xB2, 0x20, 0x0A ),
4454 BYTES_TO_T_UINT_8( 0x70, 0xD6, 0x1A, 0xE5, 0xE2, 0x29, 0x70, 0xCE ),
4455 BYTES_TO_T_UINT_8( 0xD5, 0x61, 0xFE, 0xBB, 0x21, 0x82, 0xD1, 0xFE ),
4456 BYTES_TO_T_UINT_8( 0x2C, 0xF0, 0x9C, 0x8B, 0x1A, 0x42, 0x30, 0x06 ),
4457 BYTES_TO_T_UINT_8( 0x43, 0xD6, 0x49, 0x81, 0x92, 0xF1, 0xD0, 0x90 ),
4458};
4459static const mbedtls_mpi_uint brainpoolP512r1_T_29_Y[] = {
4460 BYTES_TO_T_UINT_8( 0xC9, 0x91, 0x93, 0x6A, 0xA6, 0x22, 0xE9, 0xD6 ),
4461 BYTES_TO_T_UINT_8( 0x09, 0xDC, 0xC3, 0x69, 0x11, 0x95, 0x7D, 0xEC ),
4462 BYTES_TO_T_UINT_8( 0x1C, 0xA3, 0x9D, 0x87, 0x5E, 0x64, 0x41, 0xA2 ),
4463 BYTES_TO_T_UINT_8( 0xBE, 0x87, 0x5A, 0x15, 0xBD, 0x6E, 0x3C, 0x8D ),
4464 BYTES_TO_T_UINT_8( 0xD0, 0x8D, 0x50, 0xCC, 0xCF, 0xB7, 0x8F, 0x0B ),
4465 BYTES_TO_T_UINT_8( 0x38, 0x65, 0xCD, 0x31, 0x30, 0xF1, 0x68, 0x13 ),
4466 BYTES_TO_T_UINT_8( 0x10, 0x5C, 0x66, 0x67, 0x92, 0x30, 0x57, 0x95 ),
4467 BYTES_TO_T_UINT_8( 0x23, 0x9B, 0x01, 0x3D, 0x20, 0x8B, 0xD1, 0x0D ),
4468};
4469static const mbedtls_mpi_uint brainpoolP512r1_T_30_X[] = {
4470 BYTES_TO_T_UINT_8( 0xAB, 0xC0, 0xE6, 0x4F, 0xDE, 0x62, 0xAB, 0xB3 ),
4471 BYTES_TO_T_UINT_8( 0xA4, 0x48, 0xB3, 0x1C, 0x0F, 0x16, 0x93, 0x45 ),
4472 BYTES_TO_T_UINT_8( 0x77, 0x63, 0xBD, 0x1F, 0x16, 0x50, 0x56, 0x98 ),
4473 BYTES_TO_T_UINT_8( 0x5D, 0x06, 0xBC, 0xE9, 0x27, 0x1C, 0x9A, 0x7B ),
4474 BYTES_TO_T_UINT_8( 0xF8, 0xFE, 0x21, 0xC5, 0x39, 0x55, 0xE1, 0xFD ),
4475 BYTES_TO_T_UINT_8( 0xF6, 0xA8, 0xD0, 0x96, 0x0E, 0xB5, 0xB2, 0x84 ),
4476 BYTES_TO_T_UINT_8( 0x3D, 0xE7, 0x4B, 0xF3, 0x11, 0x0C, 0xC9, 0x5B ),
4477 BYTES_TO_T_UINT_8( 0x43, 0x3A, 0xC4, 0x87, 0x71, 0xEE, 0xFA, 0x18 ),
4478};
4479static const mbedtls_mpi_uint brainpoolP512r1_T_30_Y[] = {
4480 BYTES_TO_T_UINT_8( 0xA7, 0x77, 0xEE, 0x81, 0x5E, 0x96, 0xEA, 0x4B ),
4481 BYTES_TO_T_UINT_8( 0xEE, 0xDF, 0xA9, 0xF4, 0x4F, 0x7C, 0xB2, 0x43 ),
4482 BYTES_TO_T_UINT_8( 0x9F, 0xD4, 0xDF, 0x35, 0x63, 0x47, 0x25, 0x8A ),
4483 BYTES_TO_T_UINT_8( 0xA5, 0x3D, 0xFF, 0xA4, 0x02, 0xC3, 0x95, 0x11 ),
4484 BYTES_TO_T_UINT_8( 0xD5, 0x10, 0x78, 0xD1, 0x2B, 0xB7, 0xBE, 0x0E ),
4485 BYTES_TO_T_UINT_8( 0x0A, 0xE9, 0x57, 0xF9, 0xE0, 0xD8, 0xFC, 0xBC ),
4486 BYTES_TO_T_UINT_8( 0xF3, 0xC4, 0x01, 0xD6, 0xB4, 0xE7, 0x78, 0xE2 ),
4487 BYTES_TO_T_UINT_8( 0x02, 0x6C, 0xB9, 0x13, 0xA4, 0xE8, 0x6D, 0x6F ),
4488};
4489static const mbedtls_mpi_uint brainpoolP512r1_T_31_X[] = {
4490 BYTES_TO_T_UINT_8( 0xE8, 0xB0, 0xC9, 0xCD, 0xBF, 0xA2, 0x1E, 0x63 ),
4491 BYTES_TO_T_UINT_8( 0xDD, 0x4F, 0x86, 0x22, 0x9B, 0xEA, 0xE8, 0xBB ),
4492 BYTES_TO_T_UINT_8( 0x50, 0x46, 0xDF, 0x43, 0xB9, 0x82, 0x2D, 0x0A ),
4493 BYTES_TO_T_UINT_8( 0x07, 0x32, 0xF1, 0x4E, 0x95, 0x41, 0xAE, 0x8E ),
4494 BYTES_TO_T_UINT_8( 0x52, 0x93, 0x26, 0xFC, 0xD3, 0x90, 0xDC, 0xEB ),
4495 BYTES_TO_T_UINT_8( 0x04, 0x05, 0x45, 0xCA, 0xF9, 0x5A, 0x89, 0x93 ),
4496 BYTES_TO_T_UINT_8( 0xC5, 0x82, 0x63, 0x4E, 0x55, 0x1D, 0x3A, 0x08 ),
4497 BYTES_TO_T_UINT_8( 0x7C, 0x69, 0x52, 0x49, 0xE9, 0xED, 0x57, 0x34 ),
4498};
4499static const mbedtls_mpi_uint brainpoolP512r1_T_31_Y[] = {
4500 BYTES_TO_T_UINT_8( 0x70, 0x64, 0xE9, 0xAC, 0x4C, 0x4A, 0xEA, 0x25 ),
4501 BYTES_TO_T_UINT_8( 0xE9, 0xE9, 0x0B, 0x99, 0xE7, 0xF9, 0xA9, 0x2C ),
4502 BYTES_TO_T_UINT_8( 0x24, 0x0C, 0xC1, 0xF4, 0x8D, 0x07, 0xB6, 0xB1 ),
4503 BYTES_TO_T_UINT_8( 0xAD, 0x68, 0xFA, 0x35, 0xE4, 0x9E, 0xAE, 0xD9 ),
4504 BYTES_TO_T_UINT_8( 0xF0, 0x2D, 0x1A, 0x13, 0x8E, 0x02, 0xE2, 0x63 ),
4505 BYTES_TO_T_UINT_8( 0x27, 0x38, 0x28, 0x86, 0x46, 0x7B, 0x3A, 0xE1 ),
4506 BYTES_TO_T_UINT_8( 0x3F, 0x4C, 0x64, 0x59, 0x0A, 0xF9, 0x02, 0xC4 ),
4507 BYTES_TO_T_UINT_8( 0x41, 0x4F, 0x23, 0xA2, 0xC3, 0xD5, 0xEF, 0x42 ),
4508};
4509static const mbedtls_ecp_point brainpoolP512r1_T[32] = {
4510 ECP_POINT_INIT_XY_Z1(brainpoolP512r1_T_0_X, brainpoolP512r1_T_0_Y),
4511 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_1_X, brainpoolP512r1_T_1_Y),
4512 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_2_X, brainpoolP512r1_T_2_Y),
4513 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_3_X, brainpoolP512r1_T_3_Y),
4514 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_4_X, brainpoolP512r1_T_4_Y),
4515 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_5_X, brainpoolP512r1_T_5_Y),
4516 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_6_X, brainpoolP512r1_T_6_Y),
4517 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_7_X, brainpoolP512r1_T_7_Y),
4518 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_8_X, brainpoolP512r1_T_8_Y),
4519 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_9_X, brainpoolP512r1_T_9_Y),
4520 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_10_X, brainpoolP512r1_T_10_Y),
4521 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_11_X, brainpoolP512r1_T_11_Y),
4522 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_12_X, brainpoolP512r1_T_12_Y),
4523 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_13_X, brainpoolP512r1_T_13_Y),
4524 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_14_X, brainpoolP512r1_T_14_Y),
4525 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_15_X, brainpoolP512r1_T_15_Y),
4526 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_16_X, brainpoolP512r1_T_16_Y),
4527 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_17_X, brainpoolP512r1_T_17_Y),
4528 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_18_X, brainpoolP512r1_T_18_Y),
4529 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_19_X, brainpoolP512r1_T_19_Y),
4530 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_20_X, brainpoolP512r1_T_20_Y),
4531 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_21_X, brainpoolP512r1_T_21_Y),
4532 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_22_X, brainpoolP512r1_T_22_Y),
4533 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_23_X, brainpoolP512r1_T_23_Y),
4534 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_24_X, brainpoolP512r1_T_24_Y),
4535 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_25_X, brainpoolP512r1_T_25_Y),
4536 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_26_X, brainpoolP512r1_T_26_Y),
4537 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_27_X, brainpoolP512r1_T_27_Y),
4538 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_28_X, brainpoolP512r1_T_28_Y),
4539 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_29_X, brainpoolP512r1_T_29_Y),
4540 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_30_X, brainpoolP512r1_T_30_Y),
4541 ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_31_X, brainpoolP512r1_T_31_Y),
4542};
4543#else
4544#define brainpoolP512r1_T NULL
Gilles Peskineaa9493a2018-09-12 14:44:03 +02004545#endif
kXuanba9cb762021-04-08 14:32:06 +08004546#endif /* MBEDTLS_ECP_DP_BP512R1_ENABLED */
Gilles Peskineaa9493a2018-09-12 14:44:03 +02004547
4548#if defined(ECP_LOAD_GROUP)
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004549/*
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01004550 * Create an MPI from embedded constants
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004551 * (assumes len is an exact multiple of sizeof mbedtls_mpi_uint)
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004552 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004553static inline void ecp_mpi_load( mbedtls_mpi *X, const mbedtls_mpi_uint *p, size_t len )
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01004554{
4555 X->s = 1;
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004556 X->n = len / sizeof( mbedtls_mpi_uint );
4557 X->p = (mbedtls_mpi_uint *) p;
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01004558}
4559
4560/*
Manuel Pégourié-Gonnard73cc01d2013-12-06 12:41:30 +01004561 * Set an MPI to static value 1
4562 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004563static inline void ecp_mpi_set1( mbedtls_mpi *X )
Manuel Pégourié-Gonnard73cc01d2013-12-06 12:41:30 +01004564{
Manuel Pégourié-Gonnard73cc01d2013-12-06 12:41:30 +01004565 X->s = 1;
4566 X->n = 1;
kXuanba9cb762021-04-08 14:32:06 +08004567 X->p = mpi_one;
Manuel Pégourié-Gonnard73cc01d2013-12-06 12:41:30 +01004568}
4569
4570/*
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01004571 * Make group available from embedded constants
4572 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004573static int ecp_group_load( mbedtls_ecp_group *grp,
4574 const mbedtls_mpi_uint *p, size_t plen,
4575 const mbedtls_mpi_uint *a, size_t alen,
4576 const mbedtls_mpi_uint *b, size_t blen,
4577 const mbedtls_mpi_uint *gx, size_t gxlen,
4578 const mbedtls_mpi_uint *gy, size_t gylen,
kXuanba9cb762021-04-08 14:32:06 +08004579 const mbedtls_mpi_uint *n, size_t nlen,
4580 const mbedtls_ecp_point *T)
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004581{
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01004582 ecp_mpi_load( &grp->P, p, plen );
Manuel Pégourié-Gonnard9854fe92013-12-02 16:30:43 +01004583 if( a != NULL )
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01004584 ecp_mpi_load( &grp->A, a, alen );
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01004585 ecp_mpi_load( &grp->B, b, blen );
4586 ecp_mpi_load( &grp->N, n, nlen );
Manuel Pégourié-Gonnard9854fe92013-12-02 16:30:43 +01004587
Manuel Pégourié-Gonnard731d08b2013-12-06 12:16:10 +01004588 ecp_mpi_load( &grp->G.X, gx, gxlen );
4589 ecp_mpi_load( &grp->G.Y, gy, gylen );
Manuel Pégourié-Gonnard73cc01d2013-12-06 12:41:30 +01004590 ecp_mpi_set1( &grp->G.Z );
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004591
Manuel Pégourié-Gonnardc0696c22015-06-18 16:47:17 +02004592 grp->pbits = mbedtls_mpi_bitlen( &grp->P );
4593 grp->nbits = mbedtls_mpi_bitlen( &grp->N );
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004594
Manuel Pégourié-Gonnard1f82b042013-12-06 12:51:50 +01004595 grp->h = 1;
4596
kXuanba9cb762021-04-08 14:32:06 +08004597 grp->T = (mbedtls_ecp_point *) T;
4598 /*
4599 * Set T_size to 0 to prevent T free by mbedtls_ecp_group_free.
4600 */
4601 grp->T_size = 0;
4602
Manuel Pégourié-Gonnard73cc01d2013-12-06 12:41:30 +01004603 return( 0 );
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004604}
Gilles Peskineaa9493a2018-09-12 14:44:03 +02004605#endif /* ECP_LOAD_GROUP */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004606
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004607#if defined(MBEDTLS_ECP_NIST_OPTIM)
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004608/* Forward declarations */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004609#if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED)
4610static int ecp_mod_p192( mbedtls_mpi * );
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01004611#endif
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004612#if defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED)
4613static int ecp_mod_p224( mbedtls_mpi * );
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01004614#endif
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004615#if defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED)
4616static int ecp_mod_p256( mbedtls_mpi * );
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01004617#endif
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004618#if defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
4619static int ecp_mod_p384( mbedtls_mpi * );
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01004620#endif
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004621#if defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED)
4622static int ecp_mod_p521( mbedtls_mpi * );
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01004623#endif
Manuel Pégourié-Gonnard3ee90002013-12-02 17:14:48 +01004624
4625#define NIST_MODP( P ) grp->modp = ecp_mod_ ## P;
4626#else
4627#define NIST_MODP( P )
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004628#endif /* MBEDTLS_ECP_NIST_OPTIM */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004629
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01004630/* Additional forward declarations */
Manuel Pégourié-Gonnard07894332015-06-23 00:18:41 +02004631#if defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED)
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004632static int ecp_mod_p255( mbedtls_mpi * );
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01004633#endif
Nicholas Wilson08f3ef12015-11-10 13:10:01 +00004634#if defined(MBEDTLS_ECP_DP_CURVE448_ENABLED)
4635static int ecp_mod_p448( mbedtls_mpi * );
4636#endif
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004637#if defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED)
4638static int ecp_mod_p192k1( mbedtls_mpi * );
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01004639#endif
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004640#if defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
4641static int ecp_mod_p224k1( mbedtls_mpi * );
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01004642#endif
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004643#if defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
4644static int ecp_mod_p256k1( mbedtls_mpi * );
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01004645#endif
4646
Gilles Peskineaa9493a2018-09-12 14:44:03 +02004647#if defined(ECP_LOAD_GROUP)
Manuel Pégourié-Gonnard81e1b102013-12-06 13:28:05 +01004648#define LOAD_GROUP_A( G ) ecp_group_load( grp, \
4649 G ## _p, sizeof( G ## _p ), \
4650 G ## _a, sizeof( G ## _a ), \
4651 G ## _b, sizeof( G ## _b ), \
4652 G ## _gx, sizeof( G ## _gx ), \
4653 G ## _gy, sizeof( G ## _gy ), \
kXuanba9cb762021-04-08 14:32:06 +08004654 G ## _n, sizeof( G ## _n ), \
4655 G ## _T \
4656 )
Manuel Pégourié-Gonnard81e1b102013-12-06 13:28:05 +01004657
4658#define LOAD_GROUP( G ) ecp_group_load( grp, \
4659 G ## _p, sizeof( G ## _p ), \
4660 NULL, 0, \
4661 G ## _b, sizeof( G ## _b ), \
4662 G ## _gx, sizeof( G ## _gx ), \
4663 G ## _gy, sizeof( G ## _gy ), \
kXuanba9cb762021-04-08 14:32:06 +08004664 G ## _n, sizeof( G ## _n ), \
4665 G ## _T \
4666 )
Gilles Peskineaa9493a2018-09-12 14:44:03 +02004667#endif /* ECP_LOAD_GROUP */
Manuel Pégourié-Gonnard81e1b102013-12-06 13:28:05 +01004668
Manuel Pégourié-Gonnard07894332015-06-23 00:18:41 +02004669#if defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED)
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004670/*
Manuel Pégourié-Gonnard66153662013-12-03 14:12:26 +01004671 * Specialized function for creating the Curve25519 group
4672 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004673static int ecp_use_curve25519( mbedtls_ecp_group *grp )
Manuel Pégourié-Gonnard66153662013-12-03 14:12:26 +01004674{
Janos Follath24eed8d2019-11-22 13:21:35 +00004675 int ret = MBEDTLS_ERR_ERROR_CORRUPTION_DETECTED;
Manuel Pégourié-Gonnard66153662013-12-03 14:12:26 +01004676
4677 /* Actually ( A + 2 ) / 4 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004678 MBEDTLS_MPI_CHK( mbedtls_mpi_read_string( &grp->A, 16, "01DB42" ) );
Manuel Pégourié-Gonnard66153662013-12-03 14:12:26 +01004679
4680 /* P = 2^255 - 19 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004681 MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &grp->P, 1 ) );
4682 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_l( &grp->P, 255 ) );
4683 MBEDTLS_MPI_CHK( mbedtls_mpi_sub_int( &grp->P, &grp->P, 19 ) );
Manuel Pégourié-Gonnardc0696c22015-06-18 16:47:17 +02004684 grp->pbits = mbedtls_mpi_bitlen( &grp->P );
Manuel Pégourié-Gonnard66153662013-12-03 14:12:26 +01004685
Nicholas Wilson54fc34e2016-05-16 15:15:45 +01004686 /* N = 2^252 + 27742317777372353535851937790883648493 */
4687 MBEDTLS_MPI_CHK( mbedtls_mpi_read_string( &grp->N, 16,
4688 "14DEF9DEA2F79CD65812631A5CF5D3ED" ) );
4689 MBEDTLS_MPI_CHK( mbedtls_mpi_set_bit( &grp->N, 252, 1 ) );
4690
Manuel Pégourié-Gonnard18b78432018-03-28 11:14:06 +02004691 /* Y intentionally not set, since we use x/z coordinates.
Manuel Pégourié-Gonnard312d2e82013-12-04 11:08:01 +01004692 * This is used as a marker to identify Montgomery curves! */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004693 MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &grp->G.X, 9 ) );
4694 MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &grp->G.Z, 1 ) );
4695 mbedtls_mpi_free( &grp->G.Y );
Manuel Pégourié-Gonnard312d2e82013-12-04 11:08:01 +01004696
Manuel Pégourié-Gonnard66153662013-12-03 14:12:26 +01004697 /* Actually, the required msb for private keys */
4698 grp->nbits = 254;
4699
4700cleanup:
4701 if( ret != 0 )
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004702 mbedtls_ecp_group_free( grp );
Manuel Pégourié-Gonnard66153662013-12-03 14:12:26 +01004703
4704 return( ret );
4705}
Manuel Pégourié-Gonnard07894332015-06-23 00:18:41 +02004706#endif /* MBEDTLS_ECP_DP_CURVE25519_ENABLED */
Manuel Pégourié-Gonnard66153662013-12-03 14:12:26 +01004707
Nicholas Wilson08f3ef12015-11-10 13:10:01 +00004708#if defined(MBEDTLS_ECP_DP_CURVE448_ENABLED)
4709/*
4710 * Specialized function for creating the Curve448 group
4711 */
4712static int ecp_use_curve448( mbedtls_ecp_group *grp )
4713{
4714 mbedtls_mpi Ns;
Janos Follath24eed8d2019-11-22 13:21:35 +00004715 int ret = MBEDTLS_ERR_ERROR_CORRUPTION_DETECTED;
Nicholas Wilson08f3ef12015-11-10 13:10:01 +00004716
4717 mbedtls_mpi_init( &Ns );
4718
4719 /* Actually ( A + 2 ) / 4 */
4720 MBEDTLS_MPI_CHK( mbedtls_mpi_read_string( &grp->A, 16, "98AA" ) );
4721
4722 /* P = 2^448 - 2^224 - 1 */
4723 MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &grp->P, 1 ) );
4724 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_l( &grp->P, 224 ) );
4725 MBEDTLS_MPI_CHK( mbedtls_mpi_sub_int( &grp->P, &grp->P, 1 ) );
4726 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_l( &grp->P, 224 ) );
4727 MBEDTLS_MPI_CHK( mbedtls_mpi_sub_int( &grp->P, &grp->P, 1 ) );
4728 grp->pbits = mbedtls_mpi_bitlen( &grp->P );
4729
4730 /* Y intentionally not set, since we use x/z coordinates.
4731 * This is used as a marker to identify Montgomery curves! */
4732 MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &grp->G.X, 5 ) );
4733 MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &grp->G.Z, 1 ) );
4734 mbedtls_mpi_free( &grp->G.Y );
4735
4736 /* N = 2^446 - 13818066809895115352007386748515426880336692474882178609894547503885 */
4737 MBEDTLS_MPI_CHK( mbedtls_mpi_set_bit( &grp->N, 446, 1 ) );
4738 MBEDTLS_MPI_CHK( mbedtls_mpi_read_string( &Ns, 16,
4739 "8335DC163BB124B65129C96FDE933D8D723A70AADC873D6D54A7BB0D" ) );
4740 MBEDTLS_MPI_CHK( mbedtls_mpi_sub_mpi( &grp->N, &grp->N, &Ns ) );
4741
4742 /* Actually, the required msb for private keys */
4743 grp->nbits = 447;
4744
4745cleanup:
4746 mbedtls_mpi_free( &Ns );
4747 if( ret != 0 )
4748 mbedtls_ecp_group_free( grp );
4749
4750 return( ret );
4751}
4752#endif /* MBEDTLS_ECP_DP_CURVE448_ENABLED */
4753
Manuel Pégourié-Gonnard66153662013-12-03 14:12:26 +01004754/*
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004755 * Set a group using well-known domain parameters
4756 */
Manuel Pégourié-Gonnarde3a062b2015-05-11 18:46:47 +02004757int mbedtls_ecp_group_load( mbedtls_ecp_group *grp, mbedtls_ecp_group_id id )
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004758{
Hanno Becker4f8e8e52018-12-14 15:08:03 +00004759 ECP_VALIDATE_RET( grp != NULL );
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004760 mbedtls_ecp_group_free( grp );
Manuel Pégourié-Gonnard66153662013-12-03 14:12:26 +01004761
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004762 grp->id = id;
4763
4764 switch( id )
4765 {
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004766#if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED)
4767 case MBEDTLS_ECP_DP_SECP192R1:
Manuel Pégourié-Gonnard3ee90002013-12-02 17:14:48 +01004768 NIST_MODP( p192 );
Manuel Pégourié-Gonnard9854fe92013-12-02 16:30:43 +01004769 return( LOAD_GROUP( secp192r1 ) );
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004770#endif /* MBEDTLS_ECP_DP_SECP192R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004771
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004772#if defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED)
4773 case MBEDTLS_ECP_DP_SECP224R1:
Manuel Pégourié-Gonnard3ee90002013-12-02 17:14:48 +01004774 NIST_MODP( p224 );
Manuel Pégourié-Gonnard9854fe92013-12-02 16:30:43 +01004775 return( LOAD_GROUP( secp224r1 ) );
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004776#endif /* MBEDTLS_ECP_DP_SECP224R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004777
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004778#if defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED)
4779 case MBEDTLS_ECP_DP_SECP256R1:
Manuel Pégourié-Gonnard3ee90002013-12-02 17:14:48 +01004780 NIST_MODP( p256 );
Manuel Pégourié-Gonnard9854fe92013-12-02 16:30:43 +01004781 return( LOAD_GROUP( secp256r1 ) );
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004782#endif /* MBEDTLS_ECP_DP_SECP256R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004783
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004784#if defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
4785 case MBEDTLS_ECP_DP_SECP384R1:
Manuel Pégourié-Gonnard3ee90002013-12-02 17:14:48 +01004786 NIST_MODP( p384 );
Manuel Pégourié-Gonnard9854fe92013-12-02 16:30:43 +01004787 return( LOAD_GROUP( secp384r1 ) );
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004788#endif /* MBEDTLS_ECP_DP_SECP384R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004789
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004790#if defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED)
4791 case MBEDTLS_ECP_DP_SECP521R1:
Manuel Pégourié-Gonnard3ee90002013-12-02 17:14:48 +01004792 NIST_MODP( p521 );
Manuel Pégourié-Gonnard9854fe92013-12-02 16:30:43 +01004793 return( LOAD_GROUP( secp521r1 ) );
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004794#endif /* MBEDTLS_ECP_DP_SECP521R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004795
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004796#if defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED)
4797 case MBEDTLS_ECP_DP_SECP192K1:
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01004798 grp->modp = ecp_mod_p192k1;
Manuel Pégourié-Gonnardea499a72014-01-11 15:58:47 +01004799 return( LOAD_GROUP_A( secp192k1 ) );
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004800#endif /* MBEDTLS_ECP_DP_SECP192K1_ENABLED */
Manuel Pégourié-Gonnardea499a72014-01-11 15:58:47 +01004801
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004802#if defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
4803 case MBEDTLS_ECP_DP_SECP224K1:
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01004804 grp->modp = ecp_mod_p224k1;
Manuel Pégourié-Gonnard18e3ec92014-01-11 15:22:07 +01004805 return( LOAD_GROUP_A( secp224k1 ) );
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004806#endif /* MBEDTLS_ECP_DP_SECP224K1_ENABLED */
Manuel Pégourié-Gonnard18e3ec92014-01-11 15:22:07 +01004807
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004808#if defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
4809 case MBEDTLS_ECP_DP_SECP256K1:
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01004810 grp->modp = ecp_mod_p256k1;
Manuel Pégourié-Gonnardf51c8fc2014-01-10 18:17:18 +01004811 return( LOAD_GROUP_A( secp256k1 ) );
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004812#endif /* MBEDTLS_ECP_DP_SECP256K1_ENABLED */
Manuel Pégourié-Gonnardf51c8fc2014-01-10 18:17:18 +01004813
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004814#if defined(MBEDTLS_ECP_DP_BP256R1_ENABLED)
4815 case MBEDTLS_ECP_DP_BP256R1:
Manuel Pégourié-Gonnard81e1b102013-12-06 13:28:05 +01004816 return( LOAD_GROUP_A( brainpoolP256r1 ) );
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004817#endif /* MBEDTLS_ECP_DP_BP256R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004818
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004819#if defined(MBEDTLS_ECP_DP_BP384R1_ENABLED)
4820 case MBEDTLS_ECP_DP_BP384R1:
Manuel Pégourié-Gonnard81e1b102013-12-06 13:28:05 +01004821 return( LOAD_GROUP_A( brainpoolP384r1 ) );
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004822#endif /* MBEDTLS_ECP_DP_BP384R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004823
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004824#if defined(MBEDTLS_ECP_DP_BP512R1_ENABLED)
4825 case MBEDTLS_ECP_DP_BP512R1:
Manuel Pégourié-Gonnard81e1b102013-12-06 13:28:05 +01004826 return( LOAD_GROUP_A( brainpoolP512r1 ) );
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004827#endif /* MBEDTLS_ECP_DP_BP512R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004828
Manuel Pégourié-Gonnard07894332015-06-23 00:18:41 +02004829#if defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED)
4830 case MBEDTLS_ECP_DP_CURVE25519:
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01004831 grp->modp = ecp_mod_p255;
Manuel Pégourié-Gonnard66153662013-12-03 14:12:26 +01004832 return( ecp_use_curve25519( grp ) );
Manuel Pégourié-Gonnard07894332015-06-23 00:18:41 +02004833#endif /* MBEDTLS_ECP_DP_CURVE25519_ENABLED */
Manuel Pégourié-Gonnard66153662013-12-03 14:12:26 +01004834
Nicholas Wilson08f3ef12015-11-10 13:10:01 +00004835#if defined(MBEDTLS_ECP_DP_CURVE448_ENABLED)
4836 case MBEDTLS_ECP_DP_CURVE448:
4837 grp->modp = ecp_mod_p448;
4838 return( ecp_use_curve448( grp ) );
4839#endif /* MBEDTLS_ECP_DP_CURVE448_ENABLED */
4840
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004841 default:
Alexander K56a74cd2019-09-10 17:58:20 +03004842 grp->id = MBEDTLS_ECP_DP_NONE;
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004843 return( MBEDTLS_ERR_ECP_FEATURE_UNAVAILABLE );
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004844 }
4845}
4846
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004847#if defined(MBEDTLS_ECP_NIST_OPTIM)
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004848/*
4849 * Fast reduction modulo the primes used by the NIST curves.
4850 *
4851 * These functions are critical for speed, but not needed for correct
4852 * operations. So, we make the choice to heavily rely on the internals of our
4853 * bignum library, which creates a tight coupling between these functions and
4854 * our MPI implementation. However, the coupling between the ECP module and
4855 * MPI remains loose, since these functions can be deactivated at will.
4856 */
4857
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004858#if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED)
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004859/*
4860 * Compared to the way things are presented in FIPS 186-3 D.2,
4861 * we proceed in columns, from right (least significant chunk) to left,
4862 * adding chunks to N in place, and keeping a carry for the next chunk.
4863 * This avoids moving things around in memory, and uselessly adding zeros,
4864 * compared to the more straightforward, line-oriented approach.
4865 *
4866 * For this prime we need to handle data in chunks of 64 bits.
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004867 * Since this is always a multiple of our basic mbedtls_mpi_uint, we can
4868 * use a mbedtls_mpi_uint * to designate such a chunk, and small loops to handle it.
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004869 */
4870
4871/* Add 64-bit chunks (dst += src) and update carry */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004872static inline void add64( mbedtls_mpi_uint *dst, mbedtls_mpi_uint *src, mbedtls_mpi_uint *carry )
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004873{
4874 unsigned char i;
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004875 mbedtls_mpi_uint c = 0;
4876 for( i = 0; i < 8 / sizeof( mbedtls_mpi_uint ); i++, dst++, src++ )
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004877 {
4878 *dst += c; c = ( *dst < c );
4879 *dst += *src; c += ( *dst < *src );
4880 }
4881 *carry += c;
4882}
4883
4884/* Add carry to a 64-bit chunk and update carry */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004885static inline void carry64( mbedtls_mpi_uint *dst, mbedtls_mpi_uint *carry )
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004886{
4887 unsigned char i;
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004888 for( i = 0; i < 8 / sizeof( mbedtls_mpi_uint ); i++, dst++ )
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004889 {
4890 *dst += *carry;
4891 *carry = ( *dst < *carry );
4892 }
4893}
4894
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004895#define WIDTH 8 / sizeof( mbedtls_mpi_uint )
Hanno Becker1eeca412018-10-15 12:01:35 +01004896#define A( i ) N->p + (i) * WIDTH
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004897#define ADD( i ) add64( p, A( i ), &c )
4898#define NEXT p += WIDTH; carry64( p, &c )
4899#define LAST p += WIDTH; *p = c; while( ++p < end ) *p = 0
4900
4901/*
4902 * Fast quasi-reduction modulo p192 (FIPS 186-3 D.2.1)
4903 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004904static int ecp_mod_p192( mbedtls_mpi *N )
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004905{
Janos Follath24eed8d2019-11-22 13:21:35 +00004906 int ret = MBEDTLS_ERR_ERROR_CORRUPTION_DETECTED;
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004907 mbedtls_mpi_uint c = 0;
4908 mbedtls_mpi_uint *p, *end;
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004909
4910 /* Make sure we have enough blocks so that A(5) is legal */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004911 MBEDTLS_MPI_CHK( mbedtls_mpi_grow( N, 6 * WIDTH ) );
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004912
4913 p = N->p;
4914 end = p + N->n;
4915
4916 ADD( 3 ); ADD( 5 ); NEXT; // A0 += A3 + A5
4917 ADD( 3 ); ADD( 4 ); ADD( 5 ); NEXT; // A1 += A3 + A4 + A5
4918 ADD( 4 ); ADD( 5 ); LAST; // A2 += A4 + A5
4919
4920cleanup:
4921 return( ret );
4922}
4923
4924#undef WIDTH
4925#undef A
4926#undef ADD
4927#undef NEXT
4928#undef LAST
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004929#endif /* MBEDTLS_ECP_DP_SECP192R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004930
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004931#if defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED) || \
4932 defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED) || \
4933 defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004934/*
4935 * The reader is advised to first understand ecp_mod_p192() since the same
4936 * general structure is used here, but with additional complications:
4937 * (1) chunks of 32 bits, and (2) subtractions.
4938 */
4939
4940/*
4941 * For these primes, we need to handle data in chunks of 32 bits.
4942 * This makes it more complicated if we use 64 bits limbs in MPI,
4943 * which prevents us from using a uniform access method as for p192.
4944 *
4945 * So, we define a mini abstraction layer to access 32 bit chunks,
4946 * load them in 'cur' for work, and store them back from 'cur' when done.
4947 *
4948 * While at it, also define the size of N in terms of 32-bit chunks.
4949 */
4950#define LOAD32 cur = A( i );
4951
Manuel Pégourié-Gonnard7b538892015-04-09 17:00:17 +02004952#if defined(MBEDTLS_HAVE_INT32) /* 32 bit */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004953
4954#define MAX32 N->n
4955#define A( j ) N->p[j]
4956#define STORE32 N->p[i] = cur;
4957
4958#else /* 64-bit */
4959
4960#define MAX32 N->n * 2
Hanno Becker1eeca412018-10-15 12:01:35 +01004961#define A( j ) (j) % 2 ? (uint32_t)( N->p[(j)/2] >> 32 ) : \
4962 (uint32_t)( N->p[(j)/2] )
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004963#define STORE32 \
4964 if( i % 2 ) { \
4965 N->p[i/2] &= 0x00000000FFFFFFFF; \
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004966 N->p[i/2] |= ((mbedtls_mpi_uint) cur) << 32; \
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004967 } else { \
4968 N->p[i/2] &= 0xFFFFFFFF00000000; \
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004969 N->p[i/2] |= (mbedtls_mpi_uint) cur; \
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004970 }
4971
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02004972#endif /* sizeof( mbedtls_mpi_uint ) */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004973
4974/*
4975 * Helpers for addition and subtraction of chunks, with signed carry.
4976 */
4977static inline void add32( uint32_t *dst, uint32_t src, signed char *carry )
4978{
4979 *dst += src;
4980 *carry += ( *dst < src );
4981}
4982
4983static inline void sub32( uint32_t *dst, uint32_t src, signed char *carry )
4984{
4985 *carry -= ( *dst < src );
4986 *dst -= src;
4987}
4988
4989#define ADD( j ) add32( &cur, A( j ), &c );
4990#define SUB( j ) sub32( &cur, A( j ), &c );
4991
Gilles Peskined10e8fa2020-07-22 19:58:28 +02004992#define ciL (sizeof(mbedtls_mpi_uint)) /* chars in limb */
Gilles Peskineb76517b2021-03-10 23:44:28 +01004993#define biL (ciL << 3) /* bits in limb */
Gilles Peskined10e8fa2020-07-22 19:58:28 +02004994
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004995/*
4996 * Helpers for the main 'loop'
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01004997 */
Hanno Becker1eeca412018-10-15 12:01:35 +01004998#define INIT( b ) \
Gilles Peskined10e8fa2020-07-22 19:58:28 +02004999 int ret = MBEDTLS_ERR_ERROR_CORRUPTION_DETECTED; \
Hanno Becker1eeca412018-10-15 12:01:35 +01005000 signed char c = 0, cc; \
5001 uint32_t cur; \
5002 size_t i = 0, bits = (b); \
Gilles Peskined10e8fa2020-07-22 19:58:28 +02005003 /* N is the size of the product of two b-bit numbers, plus one */ \
5004 /* limb for fix_negative */ \
5005 MBEDTLS_MPI_CHK( mbedtls_mpi_grow( N, ( b ) * 2 / biL + 1 ) ); \
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005006 LOAD32;
5007
5008#define NEXT \
5009 STORE32; i++; LOAD32; \
5010 cc = c; c = 0; \
5011 if( cc < 0 ) \
5012 sub32( &cur, -cc, &c ); \
5013 else \
5014 add32( &cur, cc, &c ); \
5015
5016#define LAST \
5017 STORE32; i++; \
5018 cur = c > 0 ? c : 0; STORE32; \
5019 cur = 0; while( ++i < MAX32 ) { STORE32; } \
Gilles Peskine618be2e2021-04-03 21:47:53 +02005020 if( c < 0 ) mbedtls_ecp_fix_negative( N, c, bits );
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005021
5022/*
5023 * If the result is negative, we get it in the form
Gilles Peskine349b3722021-04-03 21:40:11 +02005024 * c * 2^bits + N, with c negative and N positive shorter than 'bits'
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005025 */
Gilles Peskine618be2e2021-04-03 21:47:53 +02005026MBEDTLS_STATIC_TESTABLE
5027void mbedtls_ecp_fix_negative( mbedtls_mpi *N, signed char c, size_t bits )
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005028{
Gilles Peskined10e8fa2020-07-22 19:58:28 +02005029 size_t i;
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005030
Gilles Peskineff6a32d2021-04-03 20:21:43 +02005031 /* Set N := 2^bits - 1 - N. We know that 0 <= N < 2^bits, so
5032 * set the absolute value to 0xfff...fff - N. There is no carry
5033 * since we're subtracting from all-bits-one. */
Gilles Peskined10e8fa2020-07-22 19:58:28 +02005034 for( i = 0; i <= bits / 8 / sizeof( mbedtls_mpi_uint ); i++ )
5035 {
5036 N->p[i] = ~(mbedtls_mpi_uint)0 - N->p[i];
5037 }
Gilles Peskineff6a32d2021-04-03 20:21:43 +02005038 /* Add 1, taking care of the carry. */
5039 i = 0;
5040 do
5041 ++N->p[i];
5042 while( N->p[i++] == 0 && i <= bits / 8 / sizeof( mbedtls_mpi_uint ) );
5043 /* Invert the sign.
5044 * Now N = N0 - 2^bits where N0 is the initial value of N. */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005045 N->s = -1;
5046
Gilles Peskine349b3722021-04-03 21:40:11 +02005047 /* Add |c| * 2^bits to the absolute value. Since c and N are
5048 * negative, this adds c * 2^bits. */
Gilles Peskined10e8fa2020-07-22 19:58:28 +02005049 mbedtls_mpi_uint msw = (mbedtls_mpi_uint) -c;
5050#if defined(MBEDTLS_HAVE_INT64)
5051 if( bits == 224 )
5052 msw <<= 32;
5053#endif
5054 N->p[bits / 8 / sizeof( mbedtls_mpi_uint)] += msw;
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005055}
5056
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005057#if defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED)
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005058/*
5059 * Fast quasi-reduction modulo p224 (FIPS 186-3 D.2.2)
5060 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005061static int ecp_mod_p224( mbedtls_mpi *N )
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005062{
5063 INIT( 224 );
5064
5065 SUB( 7 ); SUB( 11 ); NEXT; // A0 += -A7 - A11
5066 SUB( 8 ); SUB( 12 ); NEXT; // A1 += -A8 - A12
5067 SUB( 9 ); SUB( 13 ); NEXT; // A2 += -A9 - A13
5068 SUB( 10 ); ADD( 7 ); ADD( 11 ); NEXT; // A3 += -A10 + A7 + A11
5069 SUB( 11 ); ADD( 8 ); ADD( 12 ); NEXT; // A4 += -A11 + A8 + A12
5070 SUB( 12 ); ADD( 9 ); ADD( 13 ); NEXT; // A5 += -A12 + A9 + A13
5071 SUB( 13 ); ADD( 10 ); LAST; // A6 += -A13 + A10
5072
5073cleanup:
5074 return( ret );
5075}
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005076#endif /* MBEDTLS_ECP_DP_SECP224R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005077
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005078#if defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED)
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005079/*
5080 * Fast quasi-reduction modulo p256 (FIPS 186-3 D.2.3)
5081 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005082static int ecp_mod_p256( mbedtls_mpi *N )
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005083{
5084 INIT( 256 );
5085
5086 ADD( 8 ); ADD( 9 );
5087 SUB( 11 ); SUB( 12 ); SUB( 13 ); SUB( 14 ); NEXT; // A0
5088
5089 ADD( 9 ); ADD( 10 );
5090 SUB( 12 ); SUB( 13 ); SUB( 14 ); SUB( 15 ); NEXT; // A1
5091
5092 ADD( 10 ); ADD( 11 );
5093 SUB( 13 ); SUB( 14 ); SUB( 15 ); NEXT; // A2
5094
5095 ADD( 11 ); ADD( 11 ); ADD( 12 ); ADD( 12 ); ADD( 13 );
5096 SUB( 15 ); SUB( 8 ); SUB( 9 ); NEXT; // A3
5097
5098 ADD( 12 ); ADD( 12 ); ADD( 13 ); ADD( 13 ); ADD( 14 );
5099 SUB( 9 ); SUB( 10 ); NEXT; // A4
5100
5101 ADD( 13 ); ADD( 13 ); ADD( 14 ); ADD( 14 ); ADD( 15 );
5102 SUB( 10 ); SUB( 11 ); NEXT; // A5
5103
5104 ADD( 14 ); ADD( 14 ); ADD( 15 ); ADD( 15 ); ADD( 14 ); ADD( 13 );
5105 SUB( 8 ); SUB( 9 ); NEXT; // A6
5106
5107 ADD( 15 ); ADD( 15 ); ADD( 15 ); ADD( 8 );
5108 SUB( 10 ); SUB( 11 ); SUB( 12 ); SUB( 13 ); LAST; // A7
5109
5110cleanup:
5111 return( ret );
5112}
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005113#endif /* MBEDTLS_ECP_DP_SECP256R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005114
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005115#if defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005116/*
5117 * Fast quasi-reduction modulo p384 (FIPS 186-3 D.2.4)
5118 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005119static int ecp_mod_p384( mbedtls_mpi *N )
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005120{
5121 INIT( 384 );
5122
5123 ADD( 12 ); ADD( 21 ); ADD( 20 );
5124 SUB( 23 ); NEXT; // A0
5125
5126 ADD( 13 ); ADD( 22 ); ADD( 23 );
5127 SUB( 12 ); SUB( 20 ); NEXT; // A2
5128
5129 ADD( 14 ); ADD( 23 );
5130 SUB( 13 ); SUB( 21 ); NEXT; // A2
5131
5132 ADD( 15 ); ADD( 12 ); ADD( 20 ); ADD( 21 );
5133 SUB( 14 ); SUB( 22 ); SUB( 23 ); NEXT; // A3
5134
5135 ADD( 21 ); ADD( 21 ); ADD( 16 ); ADD( 13 ); ADD( 12 ); ADD( 20 ); ADD( 22 );
5136 SUB( 15 ); SUB( 23 ); SUB( 23 ); NEXT; // A4
5137
5138 ADD( 22 ); ADD( 22 ); ADD( 17 ); ADD( 14 ); ADD( 13 ); ADD( 21 ); ADD( 23 );
5139 SUB( 16 ); NEXT; // A5
5140
5141 ADD( 23 ); ADD( 23 ); ADD( 18 ); ADD( 15 ); ADD( 14 ); ADD( 22 );
5142 SUB( 17 ); NEXT; // A6
5143
5144 ADD( 19 ); ADD( 16 ); ADD( 15 ); ADD( 23 );
5145 SUB( 18 ); NEXT; // A7
5146
5147 ADD( 20 ); ADD( 17 ); ADD( 16 );
5148 SUB( 19 ); NEXT; // A8
5149
5150 ADD( 21 ); ADD( 18 ); ADD( 17 );
5151 SUB( 20 ); NEXT; // A9
5152
5153 ADD( 22 ); ADD( 19 ); ADD( 18 );
5154 SUB( 21 ); NEXT; // A10
5155
5156 ADD( 23 ); ADD( 20 ); ADD( 19 );
5157 SUB( 22 ); LAST; // A11
5158
5159cleanup:
5160 return( ret );
5161}
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005162#endif /* MBEDTLS_ECP_DP_SECP384R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005163
5164#undef A
5165#undef LOAD32
5166#undef STORE32
5167#undef MAX32
5168#undef INIT
5169#undef NEXT
5170#undef LAST
5171
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005172#endif /* MBEDTLS_ECP_DP_SECP224R1_ENABLED ||
5173 MBEDTLS_ECP_DP_SECP256R1_ENABLED ||
5174 MBEDTLS_ECP_DP_SECP384R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005175
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005176#if defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED)
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005177/*
5178 * Here we have an actual Mersenne prime, so things are more straightforward.
5179 * However, chunks are aligned on a 'weird' boundary (521 bits).
5180 */
5181
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005182/* Size of p521 in terms of mbedtls_mpi_uint */
5183#define P521_WIDTH ( 521 / 8 / sizeof( mbedtls_mpi_uint ) + 1 )
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005184
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005185/* Bits to keep in the most significant mbedtls_mpi_uint */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005186#define P521_MASK 0x01FF
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005187
5188/*
5189 * Fast quasi-reduction modulo p521 (FIPS 186-3 D.2.5)
5190 * Write N as A1 + 2^521 A0, return A0 + A1
5191 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005192static int ecp_mod_p521( mbedtls_mpi *N )
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005193{
Janos Follath24eed8d2019-11-22 13:21:35 +00005194 int ret = MBEDTLS_ERR_ERROR_CORRUPTION_DETECTED;
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005195 size_t i;
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005196 mbedtls_mpi M;
5197 mbedtls_mpi_uint Mp[P521_WIDTH + 1];
5198 /* Worst case for the size of M is when mbedtls_mpi_uint is 16 bits:
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005199 * we need to hold bits 513 to 1056, which is 34 limbs, that is
5200 * P521_WIDTH + 1. Otherwise P521_WIDTH is enough. */
5201
5202 if( N->n < P521_WIDTH )
5203 return( 0 );
5204
5205 /* M = A1 */
5206 M.s = 1;
5207 M.n = N->n - ( P521_WIDTH - 1 );
5208 if( M.n > P521_WIDTH + 1 )
5209 M.n = P521_WIDTH + 1;
5210 M.p = Mp;
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005211 memcpy( Mp, N->p + P521_WIDTH - 1, M.n * sizeof( mbedtls_mpi_uint ) );
5212 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &M, 521 % ( 8 * sizeof( mbedtls_mpi_uint ) ) ) );
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005213
5214 /* N = A0 */
5215 N->p[P521_WIDTH - 1] &= P521_MASK;
5216 for( i = P521_WIDTH; i < N->n; i++ )
5217 N->p[i] = 0;
5218
5219 /* N = A0 + A1 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005220 MBEDTLS_MPI_CHK( mbedtls_mpi_add_abs( N, N, &M ) );
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005221
5222cleanup:
5223 return( ret );
5224}
5225
5226#undef P521_WIDTH
5227#undef P521_MASK
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005228#endif /* MBEDTLS_ECP_DP_SECP521R1_ENABLED */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005229
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005230#endif /* MBEDTLS_ECP_NIST_OPTIM */
Manuel Pégourié-Gonnard32b04c12013-12-02 15:49:09 +01005231
Manuel Pégourié-Gonnard07894332015-06-23 00:18:41 +02005232#if defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED)
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01005233
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005234/* Size of p255 in terms of mbedtls_mpi_uint */
5235#define P255_WIDTH ( 255 / 8 / sizeof( mbedtls_mpi_uint ) + 1 )
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01005236
5237/*
5238 * Fast quasi-reduction modulo p255 = 2^255 - 19
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005239 * Write N as A0 + 2^255 A1, return A0 + 19 * A1
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01005240 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005241static int ecp_mod_p255( mbedtls_mpi *N )
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01005242{
Janos Follath24eed8d2019-11-22 13:21:35 +00005243 int ret = MBEDTLS_ERR_ERROR_CORRUPTION_DETECTED;
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01005244 size_t i;
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005245 mbedtls_mpi M;
5246 mbedtls_mpi_uint Mp[P255_WIDTH + 2];
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01005247
5248 if( N->n < P255_WIDTH )
5249 return( 0 );
5250
5251 /* M = A1 */
5252 M.s = 1;
5253 M.n = N->n - ( P255_WIDTH - 1 );
5254 if( M.n > P255_WIDTH + 1 )
Nicholas Wilson08f3ef12015-11-10 13:10:01 +00005255 return( MBEDTLS_ERR_ECP_BAD_INPUT_DATA );
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01005256 M.p = Mp;
5257 memset( Mp, 0, sizeof Mp );
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005258 memcpy( Mp, N->p + P255_WIDTH - 1, M.n * sizeof( mbedtls_mpi_uint ) );
5259 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &M, 255 % ( 8 * sizeof( mbedtls_mpi_uint ) ) ) );
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01005260 M.n++; /* Make room for multiplication by 19 */
5261
5262 /* N = A0 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005263 MBEDTLS_MPI_CHK( mbedtls_mpi_set_bit( N, 255, 0 ) );
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01005264 for( i = P255_WIDTH; i < N->n; i++ )
5265 N->p[i] = 0;
5266
5267 /* N = A0 + 19 * A1 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005268 MBEDTLS_MPI_CHK( mbedtls_mpi_mul_int( &M, &M, 19 ) );
5269 MBEDTLS_MPI_CHK( mbedtls_mpi_add_abs( N, N, &M ) );
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01005270
5271cleanup:
5272 return( ret );
5273}
Manuel Pégourié-Gonnard07894332015-06-23 00:18:41 +02005274#endif /* MBEDTLS_ECP_DP_CURVE25519_ENABLED */
Manuel Pégourié-Gonnard3d7053a2013-12-04 20:51:13 +01005275
Nicholas Wilson08f3ef12015-11-10 13:10:01 +00005276#if defined(MBEDTLS_ECP_DP_CURVE448_ENABLED)
5277
5278/* Size of p448 in terms of mbedtls_mpi_uint */
5279#define P448_WIDTH ( 448 / 8 / sizeof( mbedtls_mpi_uint ) )
5280
5281/* Number of limbs fully occupied by 2^224 (max), and limbs used by it (min) */
5282#define DIV_ROUND_UP( X, Y ) ( ( ( X ) + ( Y ) - 1 ) / ( Y ) )
5283#define P224_WIDTH_MIN ( 28 / sizeof( mbedtls_mpi_uint ) )
5284#define P224_WIDTH_MAX DIV_ROUND_UP( 28, sizeof( mbedtls_mpi_uint ) )
5285#define P224_UNUSED_BITS ( ( P224_WIDTH_MAX * sizeof( mbedtls_mpi_uint ) * 8 ) - 224 )
5286
5287/*
5288 * Fast quasi-reduction modulo p448 = 2^448 - 2^224 - 1
5289 * Write N as A0 + 2^448 A1 and A1 as B0 + 2^224 B1, and return
5290 * A0 + A1 + B1 + (B0 + B1) * 2^224. This is different to the reference
5291 * implementation of Curve448, which uses its own special 56-bit limbs rather
5292 * than a generic bignum library. We could squeeze some extra speed out on
5293 * 32-bit machines by splitting N up into 32-bit limbs and doing the
5294 * arithmetic using the limbs directly as we do for the NIST primes above,
5295 * but for 64-bit targets it should use half the number of operations if we do
5296 * the reduction with 224-bit limbs, since mpi_add_mpi will then use 64-bit adds.
5297 */
5298static int ecp_mod_p448( mbedtls_mpi *N )
5299{
Janos Follath24eed8d2019-11-22 13:21:35 +00005300 int ret = MBEDTLS_ERR_ERROR_CORRUPTION_DETECTED;
Nicholas Wilson08f3ef12015-11-10 13:10:01 +00005301 size_t i;
5302 mbedtls_mpi M, Q;
5303 mbedtls_mpi_uint Mp[P448_WIDTH + 1], Qp[P448_WIDTH];
5304
5305 if( N->n <= P448_WIDTH )
5306 return( 0 );
5307
5308 /* M = A1 */
5309 M.s = 1;
5310 M.n = N->n - ( P448_WIDTH );
5311 if( M.n > P448_WIDTH )
5312 /* Shouldn't be called with N larger than 2^896! */
5313 return( MBEDTLS_ERR_ECP_BAD_INPUT_DATA );
5314 M.p = Mp;
5315 memset( Mp, 0, sizeof( Mp ) );
5316 memcpy( Mp, N->p + P448_WIDTH, M.n * sizeof( mbedtls_mpi_uint ) );
5317
5318 /* N = A0 */
5319 for( i = P448_WIDTH; i < N->n; i++ )
5320 N->p[i] = 0;
5321
5322 /* N += A1 */
5323 MBEDTLS_MPI_CHK( mbedtls_mpi_add_mpi( N, N, &M ) );
5324
5325 /* Q = B1, N += B1 */
5326 Q = M;
5327 Q.p = Qp;
5328 memcpy( Qp, Mp, sizeof( Qp ) );
5329 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &Q, 224 ) );
5330 MBEDTLS_MPI_CHK( mbedtls_mpi_add_mpi( N, N, &Q ) );
5331
5332 /* M = (B0 + B1) * 2^224, N += M */
5333 if( sizeof( mbedtls_mpi_uint ) > 4 )
5334 Mp[P224_WIDTH_MIN] &= ( (mbedtls_mpi_uint)-1 ) >> ( P224_UNUSED_BITS );
5335 for( i = P224_WIDTH_MAX; i < M.n; ++i )
5336 Mp[i] = 0;
5337 MBEDTLS_MPI_CHK( mbedtls_mpi_add_mpi( &M, &M, &Q ) );
5338 M.n = P448_WIDTH + 1; /* Make room for shifted carry bit from the addition */
5339 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_l( &M, 224 ) );
5340 MBEDTLS_MPI_CHK( mbedtls_mpi_add_mpi( N, N, &M ) );
5341
5342cleanup:
5343 return( ret );
5344}
5345#endif /* MBEDTLS_ECP_DP_CURVE448_ENABLED */
5346
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005347#if defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED) || \
5348 defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED) || \
5349 defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005350/*
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005351 * Fast quasi-reduction modulo P = 2^s - R,
5352 * with R about 33 bits, used by the Koblitz curves.
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005353 *
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005354 * Write N as A0 + 2^224 A1, return A0 + R * A1.
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005355 * Actually do two passes, since R is big.
5356 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005357#define P_KOBLITZ_MAX ( 256 / 8 / sizeof( mbedtls_mpi_uint ) ) // Max limbs in P
5358#define P_KOBLITZ_R ( 8 / sizeof( mbedtls_mpi_uint ) ) // Limbs in R
5359static inline int ecp_mod_koblitz( mbedtls_mpi *N, mbedtls_mpi_uint *Rp, size_t p_limbs,
5360 size_t adjust, size_t shift, mbedtls_mpi_uint mask )
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005361{
Janos Follath24eed8d2019-11-22 13:21:35 +00005362 int ret = MBEDTLS_ERR_ERROR_CORRUPTION_DETECTED;
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005363 size_t i;
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005364 mbedtls_mpi M, R;
Janos Follath7dadc2f2017-01-27 16:05:20 +00005365 mbedtls_mpi_uint Mp[P_KOBLITZ_MAX + P_KOBLITZ_R + 1];
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005366
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005367 if( N->n < p_limbs )
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005368 return( 0 );
5369
5370 /* Init R */
5371 R.s = 1;
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005372 R.p = Rp;
5373 R.n = P_KOBLITZ_R;
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005374
5375 /* Common setup for M */
5376 M.s = 1;
5377 M.p = Mp;
5378
5379 /* M = A1 */
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005380 M.n = N->n - ( p_limbs - adjust );
5381 if( M.n > p_limbs + adjust )
5382 M.n = p_limbs + adjust;
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005383 memset( Mp, 0, sizeof Mp );
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005384 memcpy( Mp, N->p + p_limbs - adjust, M.n * sizeof( mbedtls_mpi_uint ) );
Paul Bakker66d5d072014-06-17 16:39:18 +02005385 if( shift != 0 )
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005386 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &M, shift ) );
Janos Follath7dadc2f2017-01-27 16:05:20 +00005387 M.n += R.n; /* Make room for multiplication by R */
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005388
5389 /* N = A0 */
Paul Bakker66d5d072014-06-17 16:39:18 +02005390 if( mask != 0 )
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005391 N->p[p_limbs - 1] &= mask;
5392 for( i = p_limbs; i < N->n; i++ )
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005393 N->p[i] = 0;
5394
5395 /* N = A0 + R * A1 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005396 MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( &M, &M, &R ) );
5397 MBEDTLS_MPI_CHK( mbedtls_mpi_add_abs( N, N, &M ) );
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005398
5399 /* Second pass */
5400
5401 /* M = A1 */
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005402 M.n = N->n - ( p_limbs - adjust );
5403 if( M.n > p_limbs + adjust )
5404 M.n = p_limbs + adjust;
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005405 memset( Mp, 0, sizeof Mp );
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005406 memcpy( Mp, N->p + p_limbs - adjust, M.n * sizeof( mbedtls_mpi_uint ) );
Paul Bakker66d5d072014-06-17 16:39:18 +02005407 if( shift != 0 )
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005408 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &M, shift ) );
Janos Follath7dadc2f2017-01-27 16:05:20 +00005409 M.n += R.n; /* Make room for multiplication by R */
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005410
5411 /* N = A0 */
Paul Bakker66d5d072014-06-17 16:39:18 +02005412 if( mask != 0 )
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005413 N->p[p_limbs - 1] &= mask;
5414 for( i = p_limbs; i < N->n; i++ )
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005415 N->p[i] = 0;
5416
5417 /* N = A0 + R * A1 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005418 MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( &M, &M, &R ) );
5419 MBEDTLS_MPI_CHK( mbedtls_mpi_add_abs( N, N, &M ) );
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005420
5421cleanup:
5422 return( ret );
5423}
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005424#endif /* MBEDTLS_ECP_DP_SECP192K1_ENABLED) ||
5425 MBEDTLS_ECP_DP_SECP224K1_ENABLED) ||
5426 MBEDTLS_ECP_DP_SECP256K1_ENABLED) */
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005427
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005428#if defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED)
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005429/*
5430 * Fast quasi-reduction modulo p192k1 = 2^192 - R,
5431 * with R = 2^32 + 2^12 + 2^8 + 2^7 + 2^6 + 2^3 + 1 = 0x0100001119
5432 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005433static int ecp_mod_p192k1( mbedtls_mpi *N )
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005434{
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005435 static mbedtls_mpi_uint Rp[] = {
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005436 BYTES_TO_T_UINT_8( 0xC9, 0x11, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00 ) };
5437
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005438 return( ecp_mod_koblitz( N, Rp, 192 / 8 / sizeof( mbedtls_mpi_uint ), 0, 0, 0 ) );
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005439}
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005440#endif /* MBEDTLS_ECP_DP_SECP192K1_ENABLED */
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005441
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005442#if defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005443/*
5444 * Fast quasi-reduction modulo p224k1 = 2^224 - R,
5445 * with R = 2^32 + 2^12 + 2^11 + 2^9 + 2^7 + 2^4 + 2 + 1 = 0x0100001A93
5446 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005447static int ecp_mod_p224k1( mbedtls_mpi *N )
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005448{
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005449 static mbedtls_mpi_uint Rp[] = {
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005450 BYTES_TO_T_UINT_8( 0x93, 0x1A, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00 ) };
5451
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005452#if defined(MBEDTLS_HAVE_INT64)
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005453 return( ecp_mod_koblitz( N, Rp, 4, 1, 32, 0xFFFFFFFF ) );
5454#else
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005455 return( ecp_mod_koblitz( N, Rp, 224 / 8 / sizeof( mbedtls_mpi_uint ), 0, 0, 0 ) );
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005456#endif
5457}
5458
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005459#endif /* MBEDTLS_ECP_DP_SECP224K1_ENABLED */
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005460
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005461#if defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005462/*
5463 * Fast quasi-reduction modulo p256k1 = 2^256 - R,
5464 * with R = 2^32 + 2^9 + 2^8 + 2^7 + 2^6 + 2^4 + 1 = 0x01000003D1
5465 */
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005466static int ecp_mod_p256k1( mbedtls_mpi *N )
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005467{
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005468 static mbedtls_mpi_uint Rp[] = {
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005469 BYTES_TO_T_UINT_8( 0xD1, 0x03, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00 ) };
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005470 return( ecp_mod_koblitz( N, Rp, 256 / 8 / sizeof( mbedtls_mpi_uint ), 0, 0, 0 ) );
Manuel Pégourié-Gonnard9af7d3a2014-01-18 17:28:59 +01005471}
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005472#endif /* MBEDTLS_ECP_DP_SECP256K1_ENABLED */
Manuel Pégourié-Gonnard8887d8d2014-01-17 23:17:10 +01005473
Janos Follathb0697532016-08-18 12:38:46 +01005474#endif /* !MBEDTLS_ECP_ALT */
5475
Manuel Pégourié-Gonnard2cf5a7c2015-04-08 12:49:31 +02005476#endif /* MBEDTLS_ECP_C */