p256 might be the only algorithm that we support
diff --git a/t/test.h b/t/test.h
index 5513ce4..e19f629 100644
--- a/t/test.h
+++ b/t/test.h
@@ -57,11 +57,12 @@
     "\xec\xe2\x46\x06\x39\xe8\xbc\x39\xcb\x7f\x70\x6a\x82\x6a\x77\x9b\x4c\xf9\x69\xb8\xa0\xe5\x39\xc7\xf6\x2f\xb3\xd3\x0a\xd6\xaa" \
     "\x8f\x80\xe3\x0f\x1d\x12\x8a\xaf\xd6\x8a\x2c\xe7\x2e\xa0\x00\x08\x00\x02\x00\x02\x00\x01\x00\x01\x40\x0b\x65\x78\x61\x6d\x70" \
     "\x6c\x65\x2e\x63\x6f\x6d\x00\x00"
-/* key from a third party (that we do not know the corresponding private key) */
+/* another config using different ID and public key */
 #define ECH_ALTERNATIVE_CONFIG_LIST                                                                                                \
-    "\x00\x46\xfe\x0d\x00\x42\xf4\x00\x20\x00\x20\x53\x85\xed\xda\xc8\x63\xe8\x02\x00\x05\x12\xcf\xc0\x45\xda\xda\x26\x37\x93\x17" \
-    "\xe5\xfe\xe8\x9f\x0e\x14\xb5\xad\x78\x4b\x99\x78\x00\x04\x00\x01\x00\x01\x00\x13\x63\x6c\x6f\x75\x64\x66\x6c\x61\x72\x65\x2d" \
-    "\x65\x73\x6e\x69\x2e\x63\x6f\x6d\x00\x00"
+    "\x00\x63\xfe\x0d\x00\x5f\x13\x00\x10\x00\x41\x04\x39\xd2\xc8\xfb\x6f\xcc\x79\x72\xb2\x28\x20\x33\xad\xc4\x97\x01\xff\xd6\x91" \
+    "\x76\xaa\x1a\x11\xd9\x36\x51\xb1\xb1\x29\xd9\x0e\xe0\x96\x1f\x75\xfa\x19\xff\xec\xe2\xd7\x91\xab\xf5\x29\x39\x35\x66\x90\xbf" \
+    "\xf3\x56\x73\xcf\xc1\x42\xc1\x6e\x99\x25\xd2\xab\xdb\xb6\x00\x08\x00\x02\x00\x02\x00\x01\x00\x01\x40\x0b\x65\x78\x61\x6d\x70" \
+    "\x6c\x65\x2e\x63\x6f\x6d\x00\x00"
 #define ECH_PRIVATE_KEY                                                                                                            \
     "-----BEGIN PRIVATE KEY-----\n"                                                                                                \
     "MIGHAgEAMBMGByqGSM49AgEGCCqGSM49AwEHBG0wawIBAQQg885/2uV+GjENh/Hr\n"                                                           \