diff --git a/src/secp256k1/src/modules/schnorr/main_impl.h b/src/secp256k1/src/modules/schnorr/main_impl.h index 80fcff8ba..0c8267df9 100755 --- a/src/secp256k1/src/modules/schnorr/main_impl.h +++ b/src/secp256k1/src/modules/schnorr/main_impl.h @@ -1,69 +1,63 @@ /********************************************************************** * Copyright (c) 2017 Amaury Séchet * * Distributed under the MIT software license, see the accompanying * * file COPYING or http://www.opensource.org/licenses/mit-license.php.* **********************************************************************/ #ifndef SECP256K1_MODULE_SCHNORR_MAIN #define SECP256K1_MODULE_SCHNORR_MAIN #include "include/secp256k1_schnorr.h" #include "modules/schnorr/schnorr_impl.h" int secp256k1_schnorr_verify( const secp256k1_context* ctx, const unsigned char *sig64, const unsigned char *msg32, const secp256k1_pubkey *pubkey ) { secp256k1_ge q; VERIFY_CHECK(ctx != NULL); ARG_CHECK(secp256k1_ecmult_context_is_built(&ctx->ecmult_ctx)); ARG_CHECK(msg32 != NULL); ARG_CHECK(sig64 != NULL); ARG_CHECK(pubkey != NULL); secp256k1_pubkey_load(ctx, &q, pubkey); return secp256k1_schnorr_sig_verify(&ctx->ecmult_ctx, sig64, &q, msg32); } int secp256k1_schnorr_sign( const secp256k1_context *ctx, unsigned char *sig64, const unsigned char *msg32, const unsigned char *seckey, secp256k1_nonce_function noncefp, const void *ndata ) { - secp256k1_scalar sec, non; + secp256k1_scalar sec; secp256k1_pubkey pubkey; secp256k1_ge p; int ret = 0; VERIFY_CHECK(ctx != NULL); ARG_CHECK(secp256k1_ecmult_gen_context_is_built(&ctx->ecmult_gen_ctx)); ARG_CHECK(msg32 != NULL); ARG_CHECK(sig64 != NULL); ARG_CHECK(seckey != NULL); if (!secp256k1_ec_pubkey_create(ctx, &pubkey, seckey)) { return 0; } - if (!secp256k1_schnorr_sig_generate_k(&non, msg32, seckey, noncefp, ndata)) { - secp256k1_scalar_clear(&non); - return 0; - } - secp256k1_pubkey_load(ctx, &p, &pubkey); secp256k1_scalar_set_b32(&sec, seckey, NULL); - ret = secp256k1_schnorr_sig_sign(&ctx->ecmult_gen_ctx, sig64, &sec, &p, &non, msg32); + ret = secp256k1_schnorr_sig_sign(&ctx->ecmult_gen_ctx, sig64, msg32, &sec, &p, noncefp, ndata); if (!ret) { memset(sig64, 0, 64); } - secp256k1_scalar_clear(&non); secp256k1_scalar_clear(&sec); return ret; } #endif diff --git a/src/secp256k1/src/modules/schnorr/schnorr.h b/src/secp256k1/src/modules/schnorr/schnorr.h index 94243961e..5c70dc1ef 100644 --- a/src/secp256k1/src/modules/schnorr/schnorr.h +++ b/src/secp256k1/src/modules/schnorr/schnorr.h @@ -1,44 +1,64 @@ /*********************************************************************** * Copyright (c) 2017 Amaury SÉCHET * * Distributed under the MIT software license, see the accompanying * * file COPYING or http://www.opensource.org/licenses/mit-license.php. * ***********************************************************************/ #ifndef _SECP256K1_MODULE_SCHNORR_H_ #define _SECP256K1_MODULE_SCHNORR_H_ #include "scalar.h" #include "group.h" static int secp256k1_schnorr_sig_verify( const secp256k1_ecmult_context* ctx, const unsigned char *sig64, secp256k1_ge *pubkey, const unsigned char *msg32 ); static int secp256k1_schnorr_compute_e( secp256k1_scalar* res, const unsigned char *r, secp256k1_ge *pubkey, const unsigned char *msg32 ); static int secp256k1_schnorr_sig_sign( const secp256k1_ecmult_gen_context* ctx, unsigned char *sig64, + const unsigned char *msg32, const secp256k1_scalar *privkey, secp256k1_ge *pubkey, - const secp256k1_scalar *nonce, - const unsigned char *msg32 + secp256k1_nonce_function noncefp, + const void *ndata +); + +static int secp256k1_schnorr_compute_k_R( + const secp256k1_ecmult_gen_context* ctx, + secp256k1_scalar *k, + secp256k1_ge *R, + const unsigned char *msg32, + const secp256k1_scalar *privkey, + secp256k1_nonce_function noncefp, + const void *ndata +); + +static int secp256k1_schnorr_compute_sig( + unsigned char *sig64, + const unsigned char *msg32, + secp256k1_scalar *k, + secp256k1_ge *R, + const secp256k1_scalar *privkey, + secp256k1_ge *pubkey ); static int secp256k1_schnorr_sig_generate_k( secp256k1_scalar *k, const unsigned char *msg32, - const unsigned char *seckey, + const secp256k1_scalar *privkey, secp256k1_nonce_function noncefp, const void *ndata ); #endif diff --git a/src/secp256k1/src/modules/schnorr/schnorr_impl.h b/src/secp256k1/src/modules/schnorr/schnorr_impl.h index 5e609e517..30a41d6b5 100644 --- a/src/secp256k1/src/modules/schnorr/schnorr_impl.h +++ b/src/secp256k1/src/modules/schnorr/schnorr_impl.h @@ -1,204 +1,252 @@ /*********************************************************************** * Copyright (c) 2017 Amaury SÉCHET * * Distributed under the MIT software license, see the accompanying * * file COPYING or http://www.opensource.org/licenses/mit-license.php. * ***********************************************************************/ #ifndef _SECP256K1_SCHNORR_IMPL_H_ #define _SECP256K1_SCHNORR_IMPL_H_ #include #include "schnorr.h" #include "field.h" #include "group.h" #include "hash.h" #include "ecmult.h" #include "ecmult_gen.h" /** * Custom Schnorr-based signature scheme. * * Signing: * Inputs: * 32-byte message m, * 32-byte scalar key x (!=0) * public key point P, * 32-byte scalar nonce k (!=0) * * Compute point R = k * G. Negate nonce if R.y is not a quadratic residue. * Compute scalar e = Hash(R.x || compressed(P) || m) mod n. * Compute scalar s = k + e * x. * The signature is (R.x, s). * * Verification: * Inputs: * 32-byte message m, * public key point P, * signature: (32-byte r, scalar s) * * Signature is invalid if s >= n or r >= p. * Compute scalar e = Hash(r || compressed(P) || m) mod n. * Option 1 (faster for single verification): * Compute point R = s * G - e * P. * Reject if R is infinity or R.y is not a quadratic residue. * Signature is valid if the serialization of R.x equals r. * Option 2 (allows batch validation): * Decompress x coordinate r into point R, with R.y a quadratic residue. * Reject if R is not on the curve. * Signature is valid if R + e * P - s * G == 0. */ static int secp256k1_schnorr_sig_verify( const secp256k1_ecmult_context* ctx, const unsigned char *sig64, secp256k1_ge *pubkey, const unsigned char *msg32 ) { secp256k1_gej Pj, Rj; secp256k1_fe Rx; secp256k1_scalar e, s; int overflow; if (secp256k1_ge_is_infinity(pubkey)) { return 0; } /* Extract s */ overflow = 0; secp256k1_scalar_set_b32(&s, sig64 + 32, &overflow); if (overflow) { return 0; } /* Extract R.x */ if (!secp256k1_fe_set_b32(&Rx, sig64)) { return 0; } /* Compute e */ secp256k1_schnorr_compute_e(&e, sig64, pubkey, msg32); /* Verify the signature */ secp256k1_scalar_negate(&e, &e); secp256k1_gej_set_ge(&Pj, pubkey); secp256k1_ecmult(ctx, &Rj, &Pj, &e, &s); if (secp256k1_gej_is_infinity(&Rj)) { return 0; } /* Check that R.x is what we expect */ if (!secp256k1_gej_eq_x_var(&Rx, &Rj)) { return 0; } /* Check that jacobi(R.y) is 1 */ if (!secp256k1_gej_has_quad_y_var(&Rj)) { return 0; } /* All good, we have a valid signature. */ return 1; } static int secp256k1_schnorr_compute_e( secp256k1_scalar* e, const unsigned char *r, secp256k1_ge *p, const unsigned char *msg32 ) { int overflow = 0; size_t size; secp256k1_sha256 sha; unsigned char buf[33]; secp256k1_sha256_initialize(&sha); /* R.x */ secp256k1_sha256_write(&sha, r, 32); /* compressed P */ secp256k1_eckey_pubkey_serialize(p, buf, &size, 1); VERIFY_CHECK(size == 33); secp256k1_sha256_write(&sha, buf, 33); /* msg */ secp256k1_sha256_write(&sha, msg32, 32); /* compute e */ secp256k1_sha256_finalize(&sha, buf); secp256k1_scalar_set_b32(e, buf, &overflow); return !overflow & !secp256k1_scalar_is_zero(e); } static int secp256k1_schnorr_sig_sign( const secp256k1_ecmult_gen_context* ctx, unsigned char *sig64, + const unsigned char *msg32, const secp256k1_scalar *privkey, secp256k1_ge *pubkey, - const secp256k1_scalar *nonce, - const unsigned char *msg32 + secp256k1_nonce_function noncefp, + const void *ndata +) { + secp256k1_ge R; + secp256k1_scalar k; + int ret; + + if (secp256k1_scalar_is_zero(privkey)) { + return 0; + } + + if (!secp256k1_schnorr_compute_k_R(ctx, &k, &R, msg32, privkey, noncefp, ndata)) { + return 0; + } + + ret = secp256k1_schnorr_compute_sig(sig64, msg32, &k, &R, privkey, pubkey); + secp256k1_scalar_clear(&k); + return ret; +} + +static int secp256k1_schnorr_compute_k_R( + const secp256k1_ecmult_gen_context* ctx, + secp256k1_scalar *k, + secp256k1_ge *R, + const unsigned char *msg32, + const secp256k1_scalar *privkey, + secp256k1_nonce_function noncefp, + const void *ndata ) { secp256k1_gej Rj; - secp256k1_ge Ra; - secp256k1_scalar e, s, k; - if (secp256k1_scalar_is_zero(privkey) || secp256k1_scalar_is_zero(nonce)) { + if (!secp256k1_schnorr_sig_generate_k(k, msg32, privkey, noncefp, ndata)) { return 0; } - k = *nonce; - secp256k1_ecmult_gen(ctx, &Rj, &k); - secp256k1_ge_set_gej(&Ra, &Rj); - if (!secp256k1_fe_is_quad_var(&Ra.y)) { + secp256k1_ecmult_gen(ctx, &Rj, k); + secp256k1_ge_set_gej(R, &Rj); + return 1; +} + +static int secp256k1_schnorr_compute_sig( + unsigned char *sig64, + const unsigned char *msg32, + secp256k1_scalar *k, + secp256k1_ge *R, + const secp256k1_scalar *privkey, + secp256k1_ge *pubkey +) { + secp256k1_scalar e, s; + + if (secp256k1_scalar_is_zero(privkey) || secp256k1_scalar_is_zero(k)) { + return 0; + } + + if (secp256k1_ge_is_infinity(pubkey)) { + return 0; + } + + if (!secp256k1_fe_is_quad_var(&R->y)) { /** * R's y coordinate is not a quadratic residue, which is not allowed. * Negate the nonce to ensure it is. */ - secp256k1_scalar_negate(&k, &k); + secp256k1_scalar_negate(k, k); } - secp256k1_fe_normalize(&Ra.x); - secp256k1_fe_get_b32(sig64, &Ra.x); + secp256k1_fe_normalize(&R->x); + secp256k1_fe_get_b32(sig64, &R->x); secp256k1_schnorr_compute_e(&e, sig64, pubkey, msg32); secp256k1_scalar_mul(&s, &e, privkey); - secp256k1_scalar_add(&s, &s, &k); - secp256k1_scalar_clear(&k); + secp256k1_scalar_add(&s, &s, k); secp256k1_scalar_get_b32(sig64 + 32, &s); return 1; } static int secp256k1_schnorr_sig_generate_k( secp256k1_scalar *k, const unsigned char *msg32, - const unsigned char *seckey, + const secp256k1_scalar *privkey, secp256k1_nonce_function noncefp, const void *ndata ) { int overflow = 0; int ret = 0; unsigned int count = 0; - unsigned char nonce32[32]; + unsigned char nonce32[32], seckey[32]; /* Seed used to make sure we generate different values of k for schnorr */ const unsigned char secp256k1_schnorr_algo16[17] = "Schnorr+SHA256 "; if (noncefp == NULL) { noncefp = secp256k1_nonce_function_default; } + secp256k1_scalar_get_b32(seckey, privkey); while (1) { ret = noncefp(nonce32, msg32, seckey, secp256k1_schnorr_algo16, (void*)ndata, count++); if (!ret) { break; } secp256k1_scalar_set_b32(k, nonce32, &overflow); if (!overflow && !secp256k1_scalar_is_zero(k)) { break; } + + secp256k1_scalar_clear(k); } + memset(seckey, 0, 32); memset(nonce32, 0, 32); return ret; } #endif diff --git a/src/secp256k1/src/modules/schnorr/tests_impl.h b/src/secp256k1/src/modules/schnorr/tests_impl.h index f4f03d02e..389eeb363 100644 --- a/src/secp256k1/src/modules/schnorr/tests_impl.h +++ b/src/secp256k1/src/modules/schnorr/tests_impl.h @@ -1,521 +1,522 @@ /********************************************************************** * Copyright (c) 2017 Amaury SÉCHET * * Distributed under the MIT software license, see the accompanying * * file COPYING or http://www.opensource.org/licenses/mit-license.php.* **********************************************************************/ #ifndef SECP256K1_MODULE_SCHNORR_TESTS #define SECP256K1_MODULE_SCHNORR_TESTS #include "include/secp256k1_schnorr.h" void test_schnorr_end_to_end(void) { unsigned char privkey[32]; unsigned char message[32]; unsigned char schnorr_signature[64]; secp256k1_pubkey pubkey; /* Generate a random key and message. */ { secp256k1_scalar key; random_scalar_order_test(&key); secp256k1_scalar_get_b32(privkey, &key); secp256k1_rand256_test(message); } /* Construct and verify corresponding public key. */ CHECK(secp256k1_ec_seckey_verify(ctx, privkey) == 1); CHECK(secp256k1_ec_pubkey_create(ctx, &pubkey, privkey) == 1); /* Schnorr sign. */ CHECK(secp256k1_schnorr_sign(ctx, schnorr_signature, message, privkey, NULL, NULL) == 1); CHECK(secp256k1_schnorr_verify(ctx, schnorr_signature, message, &pubkey) == 1); /* Destroy signature and verify again. */ schnorr_signature[secp256k1_rand_bits(6)] += 1 + secp256k1_rand_int(255); CHECK(secp256k1_schnorr_verify(ctx, schnorr_signature, message, &pubkey) == 0); } #define SIG_COUNT 32 void test_schnorr_sign_verify(void) { unsigned char msg32[32]; unsigned char sig64[SIG_COUNT][64]; + unsigned char ndata[SIG_COUNT][32]; secp256k1_gej pubkeyj[SIG_COUNT]; secp256k1_ge pubkey[SIG_COUNT]; - secp256k1_scalar nonce[SIG_COUNT], key[SIG_COUNT]; + secp256k1_scalar key[SIG_COUNT]; int i, j; secp256k1_rand256_test(msg32); for (i = 0; i < SIG_COUNT; i++) { random_scalar_order_test(&key[i]); secp256k1_ecmult_gen(&ctx->ecmult_gen_ctx, &pubkeyj[i], &key[i]); secp256k1_ge_set_gej_var(&pubkey[i], &pubkeyj[i]); secp256k1_fe_normalize(&pubkey[i].x); secp256k1_fe_normalize(&pubkey[i].y); do { - random_scalar_order_test(&nonce[i]); - if (secp256k1_schnorr_sig_sign(&ctx->ecmult_gen_ctx, sig64[i], &key[i], &pubkey[i], &nonce[i], msg32)) { + secp256k1_rand256_test(ndata[i]); + if (secp256k1_schnorr_sig_sign(&ctx->ecmult_gen_ctx, sig64[i], msg32, &key[i], &pubkey[i], NULL, &ndata[i])) { break; } } while(1); CHECK(secp256k1_schnorr_sig_verify(&ctx->ecmult_ctx, sig64[i], &pubkey[i], msg32)); /* Apply several random modifications to the sig and check that it * doesn't verify anymore. */ for (j = 0; j < count; j++) { int pos = secp256k1_rand_bits(6); int mod = 1 + secp256k1_rand_int(255); sig64[i][pos] ^= mod; CHECK(secp256k1_schnorr_sig_verify(&ctx->ecmult_ctx, sig64[i], &pubkey[i], msg32) == 0); sig64[i][pos] ^= mod; } } } #undef SIG_COUNT void run_schnorr_compact_test(void) { { /* Test vector 1 */ static const unsigned char pkbuf[33] = { 0x02, 0x79, 0xBE, 0x66, 0x7E, 0xF9, 0xDC, 0xBB, 0xAC, 0x55, 0xA0, 0x62, 0x95, 0xCE, 0x87, 0x0B, 0x07, 0x02, 0x9B, 0xFC, 0xDB, 0x2D, 0xCE, 0x28, 0xD9, 0x59, 0xF2, 0x81, 0x5B, 0x16, 0xF8, 0x17, 0x98, }; static const unsigned char msg[32] = { 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, }; static const unsigned char sig[64] = { 0x78, 0x7A, 0x84, 0x8E, 0x71, 0x04, 0x3D, 0x28, 0x0C, 0x50, 0x47, 0x0E, 0x8E, 0x15, 0x32, 0xB2, 0xDD, 0x5D, 0x20, 0xEE, 0x91, 0x2A, 0x45, 0xDB, 0xDD, 0x2B, 0xD1, 0xDF, 0xBF, 0x18, 0x7E, 0xF6, 0x70, 0x31, 0xA9, 0x88, 0x31, 0x85, 0x9D, 0xC3, 0x4D, 0xFF, 0xEE, 0xDD, 0xA8, 0x68, 0x31, 0x84, 0x2C, 0xCD, 0x00, 0x79, 0xE1, 0xF9, 0x2A, 0xF1, 0x77, 0xF7, 0xF2, 0x2C, 0xC1, 0xDC, 0xED, 0x05, }; secp256k1_pubkey pubkey; CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, pkbuf, 33)); CHECK(secp256k1_schnorr_verify(ctx, sig, msg, &pubkey)); } { /* Test vector 2 */ static const unsigned char pkbuf[33] = { 0x02, 0xDF, 0xF1, 0xD7, 0x7F, 0x2A, 0x67, 0x1C, 0x5F, 0x36, 0x18, 0x37, 0x26, 0xDB, 0x23, 0x41, 0xBE, 0x58, 0xFE, 0xAE, 0x1D, 0xA2, 0xDE, 0xCE, 0xD8, 0x43, 0x24, 0x0F, 0x7B, 0x50, 0x2B, 0xA6, 0x59, }; static const unsigned char msg[32] = { 0x24, 0x3F, 0x6A, 0x88, 0x85, 0xA3, 0x08, 0xD3, 0x13, 0x19, 0x8A, 0x2E, 0x03, 0x70, 0x73, 0x44, 0xA4, 0x09, 0x38, 0x22, 0x29, 0x9F, 0x31, 0xD0, 0x08, 0x2E, 0xFA, 0x98, 0xEC, 0x4E, 0x6C, 0x89, }; static const unsigned char sig[64] = { 0x2A, 0x29, 0x8D, 0xAC, 0xAE, 0x57, 0x39, 0x5A, 0x15, 0xD0, 0x79, 0x5D, 0xDB, 0xFD, 0x1D, 0xCB, 0x56, 0x4D, 0xA8, 0x2B, 0x0F, 0x26, 0x9B, 0xC7, 0x0A, 0x74, 0xF8, 0x22, 0x04, 0x29, 0xBA, 0x1D, 0x1E, 0x51, 0xA2, 0x2C, 0xCE, 0xC3, 0x55, 0x99, 0xB8, 0xF2, 0x66, 0x91, 0x22, 0x81, 0xF8, 0x36, 0x5F, 0xFC, 0x2D, 0x03, 0x5A, 0x23, 0x04, 0x34, 0xA1, 0xA6, 0x4D, 0xC5, 0x9F, 0x70, 0x13, 0xFD, }; secp256k1_pubkey pubkey; CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, pkbuf, 33)); CHECK(secp256k1_schnorr_verify(ctx, sig, msg, &pubkey)); } { /* Test vector 3 */ static const unsigned char pkbuf[33] = { 0x03, 0xFA, 0xC2, 0x11, 0x4C, 0x2F, 0xBB, 0x09, 0x15, 0x27, 0xEB, 0x7C, 0x64, 0xEC, 0xB1, 0x1F, 0x80, 0x21, 0xCB, 0x45, 0xE8, 0xE7, 0x80, 0x9D, 0x3C, 0x09, 0x38, 0xE4, 0xB8, 0xC0, 0xE5, 0xF8, 0x4B, }; static const unsigned char msg[32] = { 0x5E, 0x2D, 0x58, 0xD8, 0xB3, 0xBC, 0xDF, 0x1A, 0xBA, 0xDE, 0xC7, 0x82, 0x90, 0x54, 0xF9, 0x0D, 0xDA, 0x98, 0x05, 0xAA, 0xB5, 0x6C, 0x77, 0x33, 0x30, 0x24, 0xB9, 0xD0, 0xA5, 0x08, 0xB7, 0x5C, }; static const unsigned char sig[64] = { 0x00, 0xDA, 0x9B, 0x08, 0x17, 0x2A, 0x9B, 0x6F, 0x04, 0x66, 0xA2, 0xDE, 0xFD, 0x81, 0x7F, 0x2D, 0x7A, 0xB4, 0x37, 0xE0, 0xD2, 0x53, 0xCB, 0x53, 0x95, 0xA9, 0x63, 0x86, 0x6B, 0x35, 0x74, 0xBE, 0x00, 0x88, 0x03, 0x71, 0xD0, 0x17, 0x66, 0x93, 0x5B, 0x92, 0xD2, 0xAB, 0x4C, 0xD5, 0xC8, 0xA2, 0xA5, 0x83, 0x7E, 0xC5, 0x7F, 0xED, 0x76, 0x60, 0x77, 0x3A, 0x05, 0xF0, 0xDE, 0x14, 0x23, 0x80, }; secp256k1_pubkey pubkey; CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, pkbuf, 33)); CHECK(secp256k1_schnorr_verify(ctx, sig, msg, &pubkey)); } { /* Test vector 4 */ static const unsigned char pkbuf[33] = { 0x03, 0xDE, 0xFD, 0xEA, 0x4C, 0xDB, 0x67, 0x77, 0x50, 0xA4, 0x20, 0xFE, 0xE8, 0x07, 0xEA, 0xCF, 0x21, 0xEB, 0x98, 0x98, 0xAE, 0x79, 0xB9, 0x76, 0x87, 0x66, 0xE4, 0xFA, 0xA0, 0x4A, 0x2D, 0x4A, 0x34, }; static const unsigned char msg[32] = { 0x4D, 0xF3, 0xC3, 0xF6, 0x8F, 0xCC, 0x83, 0xB2, 0x7E, 0x9D, 0x42, 0xC9, 0x04, 0x31, 0xA7, 0x24, 0x99, 0xF1, 0x78, 0x75, 0xC8, 0x1A, 0x59, 0x9B, 0x56, 0x6C, 0x98, 0x89, 0xB9, 0x69, 0x67, 0x03, }; static const unsigned char sig[64] = { 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x3B, 0x78, 0xCE, 0x56, 0x3F, 0x89, 0xA0, 0xED, 0x94, 0x14, 0xF5, 0xAA, 0x28, 0xAD, 0x0D, 0x96, 0xD6, 0x79, 0x5F, 0x9C, 0x63, 0x02, 0xA8, 0xDC, 0x32, 0xE6, 0x4E, 0x86, 0xA3, 0x33, 0xF2, 0x0E, 0xF5, 0x6E, 0xAC, 0x9B, 0xA3, 0x0B, 0x72, 0x46, 0xD6, 0xD2, 0x5E, 0x22, 0xAD, 0xB8, 0xC6, 0xBE, 0x1A, 0xEB, 0x08, 0xD4, 0x9D, }; secp256k1_pubkey pubkey; CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, pkbuf, 33)); CHECK(secp256k1_schnorr_verify(ctx, sig, msg, &pubkey)); } { /* Test vector 4b */ static const unsigned char pkbuf[33] = { 0x03, 0x1B, 0x84, 0xC5, 0x56, 0x7B, 0x12, 0x64, 0x40, 0x99, 0x5D, 0x3E, 0xD5, 0xAA, 0xBA, 0x05, 0x65, 0xD7, 0x1E, 0x18, 0x34, 0x60, 0x48, 0x19, 0xFF, 0x9C, 0x17, 0xF5, 0xE9, 0xD5, 0xDD, 0x07, 0x8F, }; static const unsigned char msg[32] = { 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, }; static const unsigned char sig[64] = { 0x52, 0x81, 0x85, 0x79, 0xAC, 0xA5, 0x97, 0x67, 0xE3, 0x29, 0x1D, 0x91, 0xB7, 0x6B, 0x63, 0x7B, 0xEF, 0x06, 0x20, 0x83, 0x28, 0x49, 0x92, 0xF2, 0xD9, 0x5F, 0x56, 0x4C, 0xA6, 0xCB, 0x4E, 0x35, 0x30, 0xB1, 0xDA, 0x84, 0x9C, 0x8E, 0x83, 0x04, 0xAD, 0xC0, 0xCF, 0xE8, 0x70, 0x66, 0x03, 0x34, 0xB3, 0xCF, 0xC1, 0x8E, 0x82, 0x5E, 0xF1, 0xDB, 0x34, 0xCF, 0xAE, 0x3D, 0xFC, 0x5D, 0x81, 0x87, }; secp256k1_pubkey pubkey; CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, pkbuf, 33)); CHECK(secp256k1_schnorr_verify(ctx, sig, msg, &pubkey)); } { /* Test vector 6: R.y is not a quadratic residue */ static const unsigned char pkbuf[33] = { 0x02, 0xDF, 0xF1, 0xD7, 0x7F, 0x2A, 0x67, 0x1C, 0x5F, 0x36, 0x18, 0x37, 0x26, 0xDB, 0x23, 0x41, 0xBE, 0x58, 0xFE, 0xAE, 0x1D, 0xA2, 0xDE, 0xCE, 0xD8, 0x43, 0x24, 0x0F, 0x7B, 0x50, 0x2B, 0xA6, 0x59, }; static const unsigned char msg[32] = { 0x24, 0x3F, 0x6A, 0x88, 0x85, 0xA3, 0x08, 0xD3, 0x13, 0x19, 0x8A, 0x2E, 0x03, 0x70, 0x73, 0x44, 0xA4, 0x09, 0x38, 0x22, 0x29, 0x9F, 0x31, 0xD0, 0x08, 0x2E, 0xFA, 0x98, 0xEC, 0x4E, 0x6C, 0x89, }; static const unsigned char sig[64] = { 0x2A, 0x29, 0x8D, 0xAC, 0xAE, 0x57, 0x39, 0x5A, 0x15, 0xD0, 0x79, 0x5D, 0xDB, 0xFD, 0x1D, 0xCB, 0x56, 0x4D, 0xA8, 0x2B, 0x0F, 0x26, 0x9B, 0xC7, 0x0A, 0x74, 0xF8, 0x22, 0x04, 0x29, 0xBA, 0x1D, 0xFA, 0x16, 0xAE, 0xE0, 0x66, 0x09, 0x28, 0x0A, 0x19, 0xB6, 0x7A, 0x24, 0xE1, 0x97, 0x7E, 0x46, 0x97, 0x71, 0x2B, 0x5F, 0xD2, 0x94, 0x39, 0x14, 0xEC, 0xD5, 0xF7, 0x30, 0x90, 0x1B, 0x4A, 0xB7, }; secp256k1_pubkey pubkey; CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, pkbuf, 33)); CHECK(secp256k1_schnorr_verify(ctx, sig, msg, &pubkey) == 0); } { /* Test vector 7: Negated message hash, R.x mismatch */ static const unsigned char pkbuf[33] = { 0x03, 0xFA, 0xC2, 0x11, 0x4C, 0x2F, 0xBB, 0x09, 0x15, 0x27, 0xEB, 0x7C, 0x64, 0xEC, 0xB1, 0x1F, 0x80, 0x21, 0xCB, 0x45, 0xE8, 0xE7, 0x80, 0x9D, 0x3C, 0x09, 0x38, 0xE4, 0xB8, 0xC0, 0xE5, 0xF8, 0x4B, }; static const unsigned char msg[32] = { 0x5E, 0x2D, 0x58, 0xD8, 0xB3, 0xBC, 0xDF, 0x1A, 0xBA, 0xDE, 0xC7, 0x82, 0x90, 0x54, 0xF9, 0x0D, 0xDA, 0x98, 0x05, 0xAA, 0xB5, 0x6C, 0x77, 0x33, 0x30, 0x24, 0xB9, 0xD0, 0xA5, 0x08, 0xB7, 0x5C, }; static const unsigned char sig[64] = { 0x00, 0xDA, 0x9B, 0x08, 0x17, 0x2A, 0x9B, 0x6F, 0x04, 0x66, 0xA2, 0xDE, 0xFD, 0x81, 0x7F, 0x2D, 0x7A, 0xB4, 0x37, 0xE0, 0xD2, 0x53, 0xCB, 0x53, 0x95, 0xA9, 0x63, 0x86, 0x6B, 0x35, 0x74, 0xBE, 0xD0, 0x92, 0xF9, 0xD8, 0x60, 0xF1, 0x77, 0x6A, 0x1F, 0x74, 0x12, 0xAD, 0x8A, 0x1E, 0xB5, 0x0D, 0xAC, 0xCC, 0x22, 0x2B, 0xC8, 0xC0, 0xE2, 0x6B, 0x20, 0x56, 0xDF, 0x2F, 0x27, 0x3E, 0xFD, 0xEC, }; secp256k1_pubkey pubkey; CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, pkbuf, 33)); CHECK(secp256k1_schnorr_verify(ctx, sig, msg, &pubkey) == 0); } { /* Test vector 8: Negated s, R.x mismatch */ static const unsigned char pkbuf[33] = { 0x02, 0x79, 0xBE, 0x66, 0x7E, 0xF9, 0xDC, 0xBB, 0xAC, 0x55, 0xA0, 0x62, 0x95, 0xCE, 0x87, 0x0B, 0x07, 0x02, 0x9B, 0xFC, 0xDB, 0x2D, 0xCE, 0x28, 0xD9, 0x59, 0xF2, 0x81, 0x5B, 0x16, 0xF8, 0x17, 0x98, }; static const unsigned char msg[32] = { 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, }; static const unsigned char sig[64] = { 0x78, 0x7A, 0x84, 0x8E, 0x71, 0x04, 0x3D, 0x28, 0x0C, 0x50, 0x47, 0x0E, 0x8E, 0x15, 0x32, 0xB2, 0xDD, 0x5D, 0x20, 0xEE, 0x91, 0x2A, 0x45, 0xDB, 0xDD, 0x2B, 0xD1, 0xDF, 0xBF, 0x18, 0x7E, 0xF6, 0x8F, 0xCE, 0x56, 0x77, 0xCE, 0x7A, 0x62, 0x3C, 0xB2, 0x00, 0x11, 0x22, 0x57, 0x97, 0xCE, 0x7A, 0x8D, 0xE1, 0xDC, 0x6C, 0xCD, 0x4F, 0x75, 0x4A, 0x47, 0xDA, 0x6C, 0x60, 0x0E, 0x59, 0x54, 0x3C, }; secp256k1_pubkey pubkey; CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, pkbuf, 33)); CHECK(secp256k1_schnorr_verify(ctx, sig, msg, &pubkey) == 0); } { /* Test vector 9: Negated P, R.x mismatch */ static const unsigned char pkbuf[33] = { 0x03, 0xDF, 0xF1, 0xD7, 0x7F, 0x2A, 0x67, 0x1C, 0x5F, 0x36, 0x18, 0x37, 0x26, 0xDB, 0x23, 0x41, 0xBE, 0x58, 0xFE, 0xAE, 0x1D, 0xA2, 0xDE, 0xCE, 0xD8, 0x43, 0x24, 0x0F, 0x7B, 0x50, 0x2B, 0xA6, 0x59, }; static const unsigned char msg[32] = { 0x24, 0x3F, 0x6A, 0x88, 0x85, 0xA3, 0x08, 0xD3, 0x13, 0x19, 0x8A, 0x2E, 0x03, 0x70, 0x73, 0x44, 0xA4, 0x09, 0x38, 0x22, 0x29, 0x9F, 0x31, 0xD0, 0x08, 0x2E, 0xFA, 0x98, 0xEC, 0x4E, 0x6C, 0x89, }; static const unsigned char sig[64] = { 0x2A, 0x29, 0x8D, 0xAC, 0xAE, 0x57, 0x39, 0x5A, 0x15, 0xD0, 0x79, 0x5D, 0xDB, 0xFD, 0x1D, 0xCB, 0x56, 0x4D, 0xA8, 0x2B, 0x0F, 0x26, 0x9B, 0xC7, 0x0A, 0x74, 0xF8, 0x22, 0x04, 0x29, 0xBA, 0x1D, 0x1E, 0x51, 0xA2, 0x2C, 0xCE, 0xC3, 0x55, 0x99, 0xB8, 0xF2, 0x66, 0x91, 0x22, 0x81, 0xF8, 0x36, 0x5F, 0xFC, 0x2D, 0x03, 0x5A, 0x23, 0x04, 0x34, 0xA1, 0xA6, 0x4D, 0xC5, 0x9F, 0x70, 0x13, 0xFD, }; secp256k1_pubkey pubkey; CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, pkbuf, 33)); CHECK(secp256k1_schnorr_verify(ctx, sig, msg, &pubkey) == 0); } { /* Test vector 10: s * G = e * P, R = 0 */ static const unsigned char pkbuf[33] = { 0x02, 0xDF, 0xF1, 0xD7, 0x7F, 0x2A, 0x67, 0x1C, 0x5F, 0x36, 0x18, 0x37, 0x26, 0xDB, 0x23, 0x41, 0xBE, 0x58, 0xFE, 0xAE, 0x1D, 0xA2, 0xDE, 0xCE, 0xD8, 0x43, 0x24, 0x0F, 0x7B, 0x50, 0x2B, 0xA6, 0x59, }; static const unsigned char msg[32] = { 0x24, 0x3F, 0x6A, 0x88, 0x85, 0xA3, 0x08, 0xD3, 0x13, 0x19, 0x8A, 0x2E, 0x03, 0x70, 0x73, 0x44, 0xA4, 0x09, 0x38, 0x22, 0x29, 0x9F, 0x31, 0xD0, 0x08, 0x2E, 0xFA, 0x98, 0xEC, 0x4E, 0x6C, 0x89, }; static const unsigned char sig[64] = { 0x2A, 0x29, 0x8D, 0xAC, 0xAE, 0x57, 0x39, 0x5A, 0x15, 0xD0, 0x79, 0x5D, 0xDB, 0xFD, 0x1D, 0xCB, 0x56, 0x4D, 0xA8, 0x2B, 0x0F, 0x26, 0x9B, 0xC7, 0x0A, 0x74, 0xF8, 0x22, 0x04, 0x29, 0xBA, 0x1D, 0x8C, 0x34, 0x28, 0x86, 0x9A, 0x66, 0x3E, 0xD1, 0xE9, 0x54, 0x70, 0x5B, 0x02, 0x0C, 0xBB, 0x3E, 0x7B, 0xB6, 0xAC, 0x31, 0x96, 0x5B, 0x9E, 0xA4, 0xC7, 0x3E, 0x22, 0x7B, 0x17, 0xC5, 0xAF, 0x5A, }; secp256k1_pubkey pubkey; CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, pkbuf, 33)); CHECK(secp256k1_schnorr_verify(ctx, sig, msg, &pubkey) == 0); } { /* Test vector 11: R.x not on the curve, R.x mismatch */ static const unsigned char pkbuf[33] = { 0x02, 0xDF, 0xF1, 0xD7, 0x7F, 0x2A, 0x67, 0x1C, 0x5F, 0x36, 0x18, 0x37, 0x26, 0xDB, 0x23, 0x41, 0xBE, 0x58, 0xFE, 0xAE, 0x1D, 0xA2, 0xDE, 0xCE, 0xD8, 0x43, 0x24, 0x0F, 0x7B, 0x50, 0x2B, 0xA6, 0x59, }; static const unsigned char msg[32] = { 0x24, 0x3F, 0x6A, 0x88, 0x85, 0xA3, 0x08, 0xD3, 0x13, 0x19, 0x8A, 0x2E, 0x03, 0x70, 0x73, 0x44, 0xA4, 0x09, 0x38, 0x22, 0x29, 0x9F, 0x31, 0xD0, 0x08, 0x2E, 0xFA, 0x98, 0xEC, 0x4E, 0x6C, 0x89, }; static const unsigned char sig[64] = { 0x4A, 0x29, 0x8D, 0xAC, 0xAE, 0x57, 0x39, 0x5A, 0x15, 0xD0, 0x79, 0x5D, 0xDB, 0xFD, 0x1D, 0xCB, 0x56, 0x4D, 0xA8, 0x2B, 0x0F, 0x26, 0x9B, 0xC7, 0x0A, 0x74, 0xF8, 0x22, 0x04, 0x29, 0xBA, 0x1D, 0x1E, 0x51, 0xA2, 0x2C, 0xCE, 0xC3, 0x55, 0x99, 0xB8, 0xF2, 0x66, 0x91, 0x22, 0x81, 0xF8, 0x36, 0x5F, 0xFC, 0x2D, 0x03, 0x5A, 0x23, 0x04, 0x34, 0xA1, 0xA6, 0x4D, 0xC5, 0x9F, 0x70, 0x13, 0xFD, }; secp256k1_pubkey pubkey; CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, pkbuf, 33)); CHECK(secp256k1_schnorr_verify(ctx, sig, msg, &pubkey) == 0); } { /* Test vector 12: r = p */ static const unsigned char pkbuf[33] = { 0x02, 0xDF, 0xF1, 0xD7, 0x7F, 0x2A, 0x67, 0x1C, 0x5F, 0x36, 0x18, 0x37, 0x26, 0xDB, 0x23, 0x41, 0xBE, 0x58, 0xFE, 0xAE, 0x1D, 0xA2, 0xDE, 0xCE, 0xD8, 0x43, 0x24, 0x0F, 0x7B, 0x50, 0x2B, 0xA6, 0x59, }; static const unsigned char msg[32] = { 0x24, 0x3F, 0x6A, 0x88, 0x85, 0xA3, 0x08, 0xD3, 0x13, 0x19, 0x8A, 0x2E, 0x03, 0x70, 0x73, 0x44, 0xA4, 0x09, 0x38, 0x22, 0x29, 0x9F, 0x31, 0xD0, 0x08, 0x2E, 0xFA, 0x98, 0xEC, 0x4E, 0x6C, 0x89, }; static const unsigned char sig[64] = { 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFC, 0x2F, 0x1E, 0x51, 0xA2, 0x2C, 0xCE, 0xC3, 0x55, 0x99, 0xB8, 0xF2, 0x66, 0x91, 0x22, 0x81, 0xF8, 0x36, 0x5F, 0xFC, 0x2D, 0x03, 0x5A, 0x23, 0x04, 0x34, 0xA1, 0xA6, 0x4D, 0xC5, 0x9F, 0x70, 0x13, 0xFD, }; secp256k1_pubkey pubkey; CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, pkbuf, 33)); CHECK(secp256k1_schnorr_verify(ctx, sig, msg, &pubkey) == 0); } { /* Test vector 13: s = n */ static const unsigned char pkbuf[33] = { 0x02, 0xDF, 0xF1, 0xD7, 0x7F, 0x2A, 0x67, 0x1C, 0x5F, 0x36, 0x18, 0x37, 0x26, 0xDB, 0x23, 0x41, 0xBE, 0x58, 0xFE, 0xAE, 0x1D, 0xA2, 0xDE, 0xCE, 0xD8, 0x43, 0x24, 0x0F, 0x7B, 0x50, 0x2B, 0xA6, 0x59, }; static const unsigned char msg[32] = { 0x24, 0x3F, 0x6A, 0x88, 0x85, 0xA3, 0x08, 0xD3, 0x13, 0x19, 0x8A, 0x2E, 0x03, 0x70, 0x73, 0x44, 0xA4, 0x09, 0x38, 0x22, 0x29, 0x9F, 0x31, 0xD0, 0x08, 0x2E, 0xFA, 0x98, 0xEC, 0x4E, 0x6C, 0x89, }; static const unsigned char sig[64] = { 0x2A, 0x29, 0x8D, 0xAC, 0xAE, 0x57, 0x39, 0x5A, 0x15, 0xD0, 0x79, 0x5D, 0xDB, 0xFD, 0x1D, 0xCB, 0x56, 0x4D, 0xA8, 0x2B, 0x0F, 0x26, 0x9B, 0xC7, 0x0A, 0x74, 0xF8, 0x22, 0x04, 0x29, 0xBA, 0x1D, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE, 0xBA, 0xAE, 0xDC, 0xE6, 0xAF, 0x48, 0xA0, 0x3B, 0xBF, 0xD2, 0x5E, 0x8C, 0xD0, 0x36, 0x41, 0x41, }; secp256k1_pubkey pubkey; CHECK(secp256k1_ec_pubkey_parse(ctx, &pubkey, pkbuf, 33)); CHECK(secp256k1_schnorr_verify(ctx, sig, msg, &pubkey) == 0); } } void run_schnorr_tests(void) { int i; for (i = 0; i < 32 * count; i++) { test_schnorr_end_to_end(); } test_schnorr_sign_verify(); run_schnorr_compact_test(); } #endif