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* [PATCH v2] crypto: ecc - Handle exceptional points in Shamir multiplication
@ 2026-09-26 20:43 Jérémy Jean
  2026-09-28 10:27 ` Ignat Korchagin
  2026-10-02 10:15 ` Herbert Xu
  0 siblings, 2 replies; 4+ messages in thread
From: Jérémy Jean @ 2026-09-26 20:43 UTC (permalink / raw)
  To: Lukas Wunner, Ignat Korchagin, Stefan Berger
  Cc: Herbert Xu, David S. Miller, linux-crypto, linux-kernel,
	Jérémy Jean, stable

Shamir multiplication mishandles equal points, opposite points and the
point at infinity. This rejects valid ECDSA signatures and can accept
invalid digest/signature tuples when the public key is G or -G. The
kernel incorrectly rejects 16 valid signatures from Wycheproof.

Handle doubling, cancellation and the point at infinity in precomputation
and accumulation. Add regression tests for P-256 ECDSA and 256/512-bit
EC-RDSA. The valid vectors are Wycheproof P1363 secp256r1/SHA-256 cases
60 and 210 converted to X9.62, two constructed ECDSA signatures for
Q = +/-G with k = 2, and six constructed EC-RDSA signatures for Q = G,
-G and -2G. Also add two invalid P-256 digest/signature tuples for
Q = +/-G that must return -EKEYREJECTED.

Fixes: 0d7a78643f69 ("crypto: ecrdsa - add EC-RDSA (GOST 34.10) algorithm")
Cc: stable@vger.kernel.org
Assisted-by: LLM
Signed-off-by: Jérémy Jean <Jeremy.Jean@oss.cyber.gouv.fr>
---
 crypto/ecc.c     |  33 ++++-
 crypto/testmgr.c |  11 +-
 crypto/testmgr.h | 327 ++++++++++++++++++++++++++++++++++++++++++++++-
 3 files changed, 363 insertions(+), 8 deletions(-)

diff --git a/crypto/ecc.c b/crypto/ecc.c
index 3250a464b852..c7366eb7ce1f 100644
--- a/crypto/ecc.c
+++ b/crypto/ecc.c
@@ -1423,9 +1423,22 @@ static void ecc_point_add(const struct ecc_point *result,
 	vli_set(result->x, q->x, ndigits);
 	vli_set(result->y, q->y, ndigits);
 	vli_mod_sub(z, result->x, p->x, curve->p, ndigits);
+	if (vli_is_zero(z, ndigits)) {
+		if (vli_cmp(p->y, q->y, ndigits)) {
+			/* P + (-P) is the point at infinity. */
+			vli_clear(result->x, ndigits);
+			vli_clear(result->y, ndigits);
+			return;
+		}
+		/* The co-Z addition formula does not handle P == Q. */
+		z[0] = 1;
+		ecc_point_double_jacobian(result->x, result->y, z, curve);
+		goto out;
+	}
 	vli_set(px, p->x, ndigits);
 	vli_set(py, p->y, ndigits);
 	xycz_add(px, py, result->x, result->y, curve);
+out:
 	vli_mod_inv(z, z, curve->p, ndigits);
 	apply_z(result->x, result->y, z, curve);
 }
@@ -1465,22 +1478,38 @@ void ecc_point_mult_shamir(const struct ecc_point *result,
 	vli_set(rx, point->x, ndigits);
 	vli_set(ry, point->y, ndigits);
 	vli_clear(z + 1, ndigits - 1);
-	z[0] = 1;
+	z[0] = !ecc_point_is_zero(point);
 
 	for (--i; i >= 0; i--) {
 		ecc_point_double_jacobian(rx, ry, z, curve);
 		idx = !!vli_test_bit(u1, i);
 		idx |= (!!vli_test_bit(u2, i)) << 1;
 		point = points[idx];
-		if (point) {
+		if (point && !ecc_point_is_zero(point)) {
 			u64 tx[ECC_MAX_DIGITS];
 			u64 ty[ECC_MAX_DIGITS];
 			u64 tz[ECC_MAX_DIGITS];
 
+			if (vli_is_zero(z, ndigits)) {
+				/* Adding to infinity starts a new accumulator. */
+				vli_set(rx, point->x, ndigits);
+				vli_set(ry, point->y, ndigits);
+				z[0] = 1;
+				continue;
+			}
 			vli_set(tx, point->x, ndigits);
 			vli_set(ty, point->y, ndigits);
 			apply_z(tx, ty, z, curve);
 			vli_mod_sub(tz, rx, tx, curve->p, ndigits);
+			if (vli_is_zero(tz, ndigits)) {
+				if (!vli_cmp(ry, ty, ndigits))
+					ecc_point_double_jacobian(rx, ry, z,
+								  curve);
+				else
+					/* Adding opposite points yields infinity. */
+					vli_clear(z, ndigits);
+				continue;
+			}
 			xycz_add(tx, ty, rx, ry, curve);
 			vli_mod_mult_fast(z, z, tz, curve);
 		}
diff --git a/crypto/testmgr.c b/crypto/testmgr.c
index 4958211fbfa9..9419d61d0602 100644
--- a/crypto/testmgr.c
+++ b/crypto/testmgr.c
@@ -3958,16 +3958,17 @@ static int test_sig_one(struct crypto_sig *tfm, const struct sig_testvec *vecs)
 	 */
 	err = crypto_sig_verify(tfm, vecs->c, vecs->c_size,
 				vecs->m, vecs->m_size);
-	if (err) {
-		pr_err("alg: sig: verify test failed: err %d\n", err);
-		return err;
+	if (err != vecs->verify_error) {
+		pr_err("alg: sig: verify test failed: expected %d, got %d\n",
+		       vecs->verify_error, err);
+		return err ?: -EINVAL;
 	}
 
 	/*
 	 * Don't invoke sign test (which requires a private key)
-	 * for vectors with only a public key.
+	 * for vectors with only a public key or an invalid signature.
 	 */
-	if (vecs->public_key_vec)
+	if (vecs->public_key_vec || vecs->verify_error)
 		return 0;
 
 	sig_size = crypto_sig_maxsize(tfm);
diff --git a/crypto/testmgr.h b/crypto/testmgr.h
index c4a15e714ecd..0ee15a8fae27 100644
--- a/crypto/testmgr.h
+++ b/crypto/testmgr.h
@@ -161,6 +161,7 @@ struct sig_testvec {
 	unsigned int param_len;
 	unsigned int m_size;
 	unsigned int c_size;
+	int verify_error;
 	bool public_key_vec;
 	enum OID algo;
 };
@@ -1443,6 +1444,140 @@ static const struct sig_testvec x962_ecdsa_nist_p192_tv_template[] = {
 };
 
 static const struct sig_testvec x962_ecdsa_nist_p256_tv_template[] = {
+	/* Invalid signature: Q = G, r = s, e = 3r mod n. */
+	{
+	.key =
+	"\x04\x6b\x17\xd1\xf2\xe1\x2c\x42\x47\xf8\xbc\xe6\xe5\x63\xa4\x40"
+	"\xf2\x77\x03\x7d\x81\x2d\xeb\x33\xa0\xf4\xa1\x39\x45\xd8\x98\xc2"
+	"\x96\x4f\xe3\x42\xe2\xfe\x1a\x7f\x9b\x8e\xe7\xeb\x4a\x7c\x0f\x9e"
+	"\x16\x2b\xce\x33\x57\x6b\x31\x5e\xce\xcb\xb6\x40\x68\x37\xbf\x51"
+	"\xf5",
+	.key_len = 65,
+	.m =
+	"\xb2\xc3\x09\x72\x03\x17\x9d\xaa\x5c\x4a\xd8\xff\x02\xfe\xcb\x15"
+	"\x21\x53\x81\x77\x45\xec\x45\x24\x3d\x68\x10\xb9\xf2\xa5\x88\x3a",
+	.m_size = 32,
+	.c =
+	"\x30\x46\x02\x21\x00\x90\xeb\xad\xd0\x56\x5d\x34\x8e\x74\x18\xf2"
+	"\xff\xab\xaa\x43\xb1\x9f\x68\xd4\x0c\x4f\x01\x4b\xe3\x10\x60\x9e"
+	"\x7e\xfa\x58\x39\xd9\x02\x21\x00\x90\xeb\xad\xd0\x56\x5d\x34\x8e"
+	"\x74\x18\xf2\xff\xab\xaa\x43\xb1\x9f\x68\xd4\x0c\x4f\x01\x4b\xe3"
+	"\x10\x60\x9e\x7e\xfa\x58\x39\xd9",
+	.c_size = 72,
+	.verify_error = -EKEYREJECTED,
+	.public_key_vec = true,
+	},
+	/* Invalid signature: Q = -G, r = s, e = 3r mod n. */
+	{
+	.key =
+	"\x04\x6b\x17\xd1\xf2\xe1\x2c\x42\x47\xf8\xbc\xe6\xe5\x63\xa4\x40"
+	"\xf2\x77\x03\x7d\x81\x2d\xeb\x33\xa0\xf4\xa1\x39\x45\xd8\x98\xc2"
+	"\x96\xb0\x1c\xbd\x1c\x01\xe5\x80\x65\x71\x18\x14\xb5\x83\xf0\x61"
+	"\xe9\xd4\x31\xcc\xa9\x94\xce\xa1\x31\x34\x49\xbf\x97\xc8\x40\xae"
+	"\x0a",
+	.key_len = 65,
+	.m =
+	"\xb2\xc3\x09\x72\x03\x17\x9d\xaa\x5c\x4a\xd8\xff\x02\xfe\xcb\x15"
+	"\x21\x53\x81\x77\x45\xec\x45\x24\x3d\x68\x10\xb9\xf2\xa5\x88\x3a",
+	.m_size = 32,
+	.c =
+	"\x30\x46\x02\x21\x00\x90\xeb\xad\xd0\x56\x5d\x34\x8e\x74\x18\xf2"
+	"\xff\xab\xaa\x43\xb1\x9f\x68\xd4\x0c\x4f\x01\x4b\xe3\x10\x60\x9e"
+	"\x7e\xfa\x58\x39\xd9\x02\x21\x00\x90\xeb\xad\xd0\x56\x5d\x34\x8e"
+	"\x74\x18\xf2\xff\xab\xaa\x43\xb1\x9f\x68\xd4\x0c\x4f\x01\x4b\xe3"
+	"\x10\x60\x9e\x7e\xfa\x58\x39\xd9",
+	.c_size = 72,
+	.verify_error = -EKEYREJECTED,
+	.public_key_vec = true,
+	},
+	/* Wycheproof secp256r1/SHA-256 tcId 60. */
+	{
+	.key =
+	"\x04\x29\x27\xb1\x05\x12\xba\xe3\xed\xdc\xfe\x46\x78\x28\x12\x8b"
+	"\xad\x29\x03\x26\x99\x19\xf7\x08\x60\x69\xc8\xc4\xdf\x6c\x73\x28"
+	"\x38\xc7\x78\x79\x64\xea\xac\x00\xe5\x92\x1f\xb1\x49\x8a\x60\xf4"
+	"\x60\x67\x66\xb3\xd9\x68\x50\x01\x55\x8d\x1a\x97\x4e\x73\x41\x51"
+	"\x3e",
+	.key_len = 65,
+	.m =
+	"\x70\x23\x9d\xd8\x77\xf7\xc9\x44\xc4\x22\xf4\x4d\xea\x4e\xd1\xa5"
+	"\x2f\x26\x27\x41\x6f\xaf\x2f\x07\x2f\xa5\x0c\x77\x2e\xd6\xf8\x07",
+	.m_size = 32,
+	.c =
+	"\x30\x44\x02\x20\x64\xa1\xaa\xb5\x00\x0d\x0e\x80\x4f\x3e\x2f\xc0"
+	"\x2b\xde\xe9\xbe\x8f\xf3\x12\x33\x4e\x2b\xa1\x6d\x11\x54\x7c\x97"
+	"\x71\x1c\x89\x8e\x02\x20\x6a\xf0\x15\x97\x1c\xc3\x0b\xe6\xd1\xa2"
+	"\x06\xd4\xe0\x13\xe0\x99\x77\x72\xa2\xf9\x1d\x73\x28\x6f\xfd\x68"
+	"\x3b\x9b\xb2\xcf\x4f\x1b",
+	.c_size = 70,
+	.public_key_vec = true,
+	},
+	/* Wycheproof secp256r1/SHA-256 tcId 210. */
+	{
+	.key =
+	"\x04\xc6\xa7\x71\x52\x70\x24\x22\x77\x92\x17\x0a\x6f\x8e\xee\x73"
+	"\x5b\xf3\x2b\x7f\x98\xaf\x66\x9e\xad\x29\x98\x02\xe3\x2d\x7c\x31"
+	"\x07\xbc\x3b\x4b\x5e\x65\xab\x88\x7b\xbd\x34\x35\x72\xb3\xe5\x61"
+	"\x92\x61\xfe\x3a\x07\x3e\x2f\xfd\x78\x41\x2f\x72\x68\x67\xdb\x58"
+	"\x9e",
+	.key_len = 65,
+	.m =
+	"\xbb\x5a\x52\xf4\x2f\x9c\x92\x61\xed\x43\x61\xf5\x94\x22\xa1\xe3"
+	"\x00\x36\xe7\xc3\x2b\x27\x0c\x88\x07\xa4\x19\xfe\xca\x60\x50\x23",
+	.m_size = 32,
+	.c =
+	"\x30\x45\x02\x20\x7c\xf2\x7b\x18\x8d\x03\x4f\x7e\x8a\x52\x38\x03"
+	"\x04\xb5\x1a\xc3\xc0\x89\x69\xe2\x77\xf2\x1b\x35\xa6\x0b\x48\xfc"
+	"\x47\x66\x99\x78\x02\x21\x00\xb6\xdb\x6d\xb6\x24\x92\x49\x25\x49"
+	"\x24\x92\x49\x24\x92\x49\x24\x62\x5b\xd7\xa0\x9b\xec\x4c\xa8\x1b"
+	"\xcd\xd9\xf8\xfd\x6b\x63\xcc",
+	.c_size = 71,
+	.public_key_vec = true,
+	},
+	/* Q = G, d = 1, k = 2. */
+	{
+	.key =
+	"\x04\x6b\x17\xd1\xf2\xe1\x2c\x42\x47\xf8\xbc\xe6\xe5\x63\xa4\x40"
+	"\xf2\x77\x03\x7d\x81\x2d\xeb\x33\xa0\xf4\xa1\x39\x45\xd8\x98\xc2"
+	"\x96\x4f\xe3\x42\xe2\xfe\x1a\x7f\x9b\x8e\xe7\xeb\x4a\x7c\x0f\x9e"
+	"\x16\x2b\xce\x33\x57\x6b\x31\x5e\xce\xcb\xb6\x40\x68\x37\xbf\x51"
+	"\xf5",
+	.key_len = 65,
+	.m =
+	"\x35\x9d\x17\x29\xb9\x1a\x52\xe9\x8b\xb5\x95\xc3\x86\x28\x3c\x10"
+	"\x30\x44\x95\x1a\xa1\x08\x20\xf0\xa0\x22\xc4\x18\xc2\x71\xa0\xcc",
+	.m_size = 32,
+	.c =
+	"\x30\x44\x02\x20\x7c\xf2\x7b\x18\x8d\x03\x4f\x7e\x8a\x52\x38\x03"
+	"\x04\xb5\x1a\xc3\xc0\x89\x69\xe2\x77\xf2\x1b\x35\xa6\x0b\x48\xfc"
+	"\x47\x66\x99\x78\x02\x20\x59\x47\xc9\x21\x23\x0e\xd1\x34\x0b\x03"
+	"\xe6\xe3\x45\x6e\xab\x69\xf8\x66\xff\x7e\x8c\x7d\x1e\x13\x23\x17"
+	"\x06\x8a\x84\xec\x1d\x22",
+	.c_size = 70,
+	.public_key_vec = true,
+	},
+	/* Q = -G, d = n - 1, k = 2. */
+	{
+	.key =
+	"\x04\x6b\x17\xd1\xf2\xe1\x2c\x42\x47\xf8\xbc\xe6\xe5\x63\xa4\x40"
+	"\xf2\x77\x03\x7d\x81\x2d\xeb\x33\xa0\xf4\xa1\x39\x45\xd8\x98\xc2"
+	"\x96\xb0\x1c\xbd\x1c\x01\xe5\x80\x65\x71\x18\x14\xb5\x83\xf0\x61"
+	"\xe9\xd4\x31\xcc\xa9\x94\xce\xa1\x31\x34\x49\xbf\x97\xc8\x40\xae"
+	"\x0a",
+	.key_len = 65,
+	.m =
+	"\x35\x9d\x17\x29\xb9\x1a\x52\xe9\x8b\xb5\x95\xc3\x86\x28\x3c\x10"
+	"\x30\x44\x95\x1a\xa1\x08\x20\xf0\xa0\x22\xc4\x18\xc2\x71\xa0\xcc",
+	.m_size = 32,
+	.c =
+	"\x30\x45\x02\x20\x7c\xf2\x7b\x18\x8d\x03\x4f\x7e\x8a\x52\x38\x03"
+	"\x04\xb5\x1a\xc3\xc0\x89\x69\xe2\x77\xf2\x1b\x35\xa6\x0b\x48\xfc"
+	"\x47\x66\x99\x78\x02\x21\x00\xdc\x55\x4e\x07\x96\x0b\x81\xb6\x80"
+	"\xb1\xae\xe0\x40\xb9\x90\xa5\xf4\xc4\x90\x49\xbb\xa2\xa1\x62\x70"
+	"\xc5\x88\x51\x39\xe8\xa8\xfb",
+	.c_size = 71,
+	.public_key_vec = true,
+	},
 	{
 	.key = /* secp256r1(sha1) */
 	"\x04\xb9\x7b\xbb\xd7\x17\x64\xd2\x7e\xfc\x81\x5d\x87\x06\x83\x41"
@@ -1827,7 +1962,8 @@ static const struct sig_testvec p1363_ecdsa_nist_p256_tv_template[] = {
 };
 
 /*
- * EC-RDSA test vectors are generated by gost-engine.
+ * EC-RDSA test vectors generated by gost-engine, followed by constructed
+ * exceptional-point regression vectors.
  */
 static const struct sig_testvec ecrdsa_tv_template[] = {
 	{
@@ -1973,6 +2109,195 @@ static const struct sig_testvec ecrdsa_tv_template[] = {
 	.m_size = 64,
 	.public_key_vec = true,
 	},
+	/*
+	 * Constructed EC-RDSA exceptional-point vectors.
+	 * With Q = dG, choose k = z1 + d*z2 (mod n), r = x(kG) mod n,
+	 * e = -r/z2 (mod n), and s = r*d + k*e (mod n).
+	 * The input digest is e, encoded little-endian.
+	 */
+	/* cp256a: Q=G, z1 = 3, z2 = 1. */
+	{
+	.key =
+	"\x04\x40\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00"
+	"\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00"
+	"\x00\x00\x14\x1e\x9f\x9e\x9c\xc9\xac\x22\xb1\xe3\x23\xdf\x2d\x4f"
+	"\x29\x35\x76\x2b\x3f\x45\x5a\x50\xdf\x27\xda\x9c\x98\xe0\x71\xe4"
+	"\x91\x8d",
+	.key_len = 66,
+	.params = /* OID_gostCPSignA */
+	"\x30\x13\x06\x07\x2a\x85\x03\x02\x02\x23\x01\x06\x08\x2a\x85\x03"
+	"\x07\x01\x01\x02\x02",
+	.param_len = 21,
+	.c =
+	"\x1a\xed\x44\xae\xd4\x4a\xed\x44\xae\xd4\x4a\xed\x44\xae\xd4\x49"
+	"\x32\x67\xe0\x26\x16\xfd\xb7\xaf\xa4\xd7\x3e\x61\xd4\xf9\x7b\x94"
+	"\xf7\x06\x3e\x70\x63\xe7\x06\x3e\x70\x63\xe7\x06\x3e\x70\x63\xe7"
+	"\x06\x3e\x70\x63\xe7\x06\x3e\x70\x63\xe7\x06\x3e\x70\x63\xe4\xb7",
+	.c_size = 64,
+	.m =
+	"\xdc\xd3\xfd\x46\xcb\x14\x9d\xe1\x8f\x92\x54\xb2\x0c\xa0\x22\x66"
+	"\x18\x9c\x8f\xc1\xf9\x18\x9c\x8f\xc1\xf9\x18\x9c\x8f\xc1\xf9\x08",
+	.m_size = 32,
+	.algo = OID_gost2012PKey256,
+	.public_key_vec = true,
+	},
+	/* cp256a: Q=-G, z1 = 7, z2 = 6. */
+	{
+	.key =
+	"\x04\x40\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00"
+	"\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00"
+	"\x00\x00\x83\xdf\x60\x61\x63\x36\x53\xdd\x4e\x1c\xdc\x20\xd2\xb0"
+	"\xd6\xca\x89\xd4\xc0\xba\xa5\xaf\x20\xd8\x25\x63\x67\x1f\x8e\x1b"
+	"\x6e\x72",
+	.key_len = 66,
+	.params = /* OID_gostCPSignA */
+	"\x30\x13\x06\x07\x2a\x85\x03\x02\x02\x23\x01\x06\x08\x2a\x85\x03"
+	"\x07\x01\x01\x02\x02",
+	.param_len = 21,
+	.c =
+	"\x2a\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa"
+	"\x92\x10\x2d\x68\x19\x8f\x22\xd5\x60\xeb\x59\xd6\xf3\xe5\x9e\xc2"
+	"\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00"
+	"\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x01",
+	.c_size = 64,
+	.m =
+	"\xc3\x9e\xe5\xf3\xd6\x59\xeb\x60\xd5\x22\x8f\x19\x68\x2d\x10\x92"
+	"\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\xaa\x2a",
+	.m_size = 32,
+	.algo = OID_gost2012PKey256,
+	.public_key_vec = true,
+	},
+	/* cp256a: Q=-2G, z1 = 5, z2 = 2. */
+	{
+	.key =
+	"\x04\x40\x95\xfd\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff"
+	"\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff"
+	"\xff\xff\x14\x1e\x9f\x9e\x9c\xc9\xac\x22\xb1\xe3\x23\xdf\x2d\x4f"
+	"\x29\x35\x76\x2b\x3f\x45\x5a\x50\xdf\x27\xda\x9c\x98\xe0\x71\xe4"
+	"\x91\x8d",
+	.key_len = 66,
+	.params = /* OID_gostCPSignA */
+	"\x30\x13\x06\x07\x2a\x85\x03\x02\x02\x23\x01\x06\x08\x2a\x85\x03"
+	"\x07\x01\x01\x02\x02",
+	.param_len = 21,
+	.c =
+	"\x7f\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff"
+	"\xb6\x30\x88\x38\x4c\xad\x68\x80\x22\xc2\x0d\x84\xdb\xb0\xdc\x47"
+	"\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00"
+	"\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x01",
+	.c_size = 64,
+	.m =
+	"\x49\xdc\xb0\xdb\x84\x0d\xc2\x22\x80\x68\xad\x4c\x38\x88\x30\xb6"
+	"\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\x7f",
+	.m_size = 32,
+	.algo = OID_gost2012PKey256,
+	.public_key_vec = true,
+	},
+	/* tc512a: Q=G, z1 = 3, z2 = 1. */
+	{
+	.key =
+	"\x04\x81\x80\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00"
+	"\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00"
+	"\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00"
+	"\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00"
+	"\x00\x00\x00\xa4\xf2\x15\x52\xcb\x89\xa5\x89\xb8\xf5\x35\xc2\x5f"
+	"\xfe\x28\x80\xe9\x41\x3a\x0e\xa5\xe6\x75\x3d\xe9\x36\xd0\x4f\xbe"
+	"\x26\x16\xdf\x21\xa9\xef\xcb\xfd\x64\x80\x77\xc1\xab\xf1\xac\x93"
+	"\x1c\x5e\xce\xe6\x50\x54\xe2\x16\x88\x1b\xa6\xe3\x6a\x83\x7a\xe8"
+	"\xcf\x03\x75",
+	.key_len = 131,
+	.params = /* OID_gostTC26Sign512A */
+	"\x30\x0b\x06\x09\x2a\x85\x03\x07\x01\x02\x01\x02\x01",
+	.param_len = 13,
+	.c =
+	"\xd8\xc0\xd7\xe3\xfb\xa6\xca\xff\x6a\xd1\xb4\xb4\x82\x1d\x15\x6f"
+	"\xa7\xc7\xbd\x63\x95\xb8\x29\x0d\xd4\xfa\xb1\x1c\x36\xbd\x32\x8d"
+	"\x1a\xba\xf1\x2e\xbc\x7b\xf2\x02\x96\xf8\xef\x2a\x5e\x72\x64\x86"
+	"\x67\x62\xfb\x62\x8e\x83\x53\x63\xb7\xe6\x78\x3c\x42\xd7\x0d\x1d"
+	"\xb7\xbf\xb8\x09\x56\xc8\x67\x00\x31\xba\x19\x19\x29\xf6\x4e\x30"
+	"\x1d\x68\x16\x34\x23\x6d\x47\xa6\x0e\x57\x1a\x4b\xed\xc0\xef\x25"
+	"\x74\x52\xef\x78\xb5\xb9\x8d\xbb\x3d\x9f\x31\x29\xd9\x34\x94\x33"
+	"\xce\x2a\x3a\x35\xcb\x51\x9c\x91\xe2\xd6\x33\xd7\xb3\x73\xae\x16",
+	.c_size = 128,
+	.m =
+	"\x5f\x04\x9d\x6b\x69\x7d\xf7\xe7\xcb\x1b\x81\x2f\x76\xfe\x20\xcd"
+	"\x2c\xcc\xd0\x74\x63\xfa\x52\x32\x56\xfb\xd3\x3e\xba\xa5\x93\xb3"
+	"\xd9\x10\x3f\x12\xb4\xe5\xa8\xf1\x59\xb8\x92\xdc\xcb\xe9\x97\xe2"
+	"\xcf\xb1\x09\xd6\xe6\xe6\x45\xce\xff\x98\x37\xa9\xf6\x47\x40\x48",
+	.m_size = 64,
+	.algo = OID_gost2012PKey512,
+	.public_key_vec = true,
+	},
+	/* tc512a: Q=-G, z1 = 7, z2 = 6. */
+	{
+	.key =
+	"\x04\x81\x80\x03\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00"
+	"\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00"
+	"\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00"
+	"\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00"
+	"\x00\x00\x00\x23\x0b\xea\xad\x34\x76\x5a\x76\x47\x0a\xca\x3d\xa0"
+	"\x01\xd7\x7f\x16\xbe\xc5\xf1\x5a\x19\x8a\xc2\x16\xc9\x2f\xb0\x41"
+	"\xd9\xe9\x20\xde\x56\x10\x34\x02\x9b\x7f\x88\x3e\x54\x0e\x53\x6c"
+	"\xe3\xa1\x31\x19\xaf\xab\x1d\xe9\x77\xe4\x59\x1c\x95\x7c\x85\x17"
+	"\x30\xfc\x8a",
+	.key_len = 131,
+	.params = /* OID_gostTC26Sign512A */
+	"\x30\x0b\x06\x09\x2a\x85\x03\x07\x01\x02\x01\x02\x01",
+	.param_len = 13,
+	.c =
+	"\x7f\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff"
+	"\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff"
+	"\x93\xf3\x4a\x99\x7a\x46\xc4\x88\xb7\xf9\x15\xc6\xa7\x02\xb0\x30"
+	"\x4d\xa5\x9c\x55\xfd\x69\x5c\x2e\xe5\x66\xd8\xa0\x8f\x88\x59\x37"
+	"\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00"
+	"\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00"
+	"\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00"
+	"\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x03",
+	.c_size = 128,
+	.m =
+	"\x3a\x59\x88\x8f\xa0\xd8\x66\xe5\x2e\x5c\x69\xfd\x55\x9c\xa5\x4d"
+	"\x30\xb0\x02\xa7\xc6\x15\xf9\xb7\x88\xc4\x46\x7a\x99\x4a\xf3\x93"
+	"\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff"
+	"\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\x7f",
+	.m_size = 64,
+	.algo = OID_gost2012PKey512,
+	.public_key_vec = true,
+	},
+	/* tc512a: Q=-2G, z1 = 5, z2 = 2. */
+	{
+	.key =
+	"\x04\x81\x80\x7c\x13\xea\xd2\xd9\xaf\x82\xb9\x1f\xb2\xfd\xe1\x8d"
+	"\xf4\x5b\x37\xe4\xf2\x04\x6a\x2a\x1d\x15\x16\x95\x2a\x5d\x40\xcd"
+	"\xbb\x34\x44\x2f\x2b\x13\x0a\x47\xb0\xf6\xe5\xa5\x58\x3a\xf4\x54"
+	"\x09\xb0\x1d\xf5\x5c\xf1\xbf\x9d\x86\xa5\x97\xab\x96\x29\x62\xfc"
+	"\xdc\x89\x3b\x76\x3d\x50\x6e\x8a\xcf\x02\x4c\x74\x0e\x6e\xe0\x1f"
+	"\x28\xab\x27\x9b\x20\x02\xc8\xc4\x12\xcb\x8a\xe3\xa4\x27\xce\x39"
+	"\x62\xdf\x35\x6d\xc1\x65\x7f\x7b\x48\x90\x11\x8f\x19\x7c\x1e\x67"
+	"\x91\x97\xeb\x90\x85\x25\xfc\x86\xb3\x88\x6e\x5c\x57\x1f\x1d\x1d"
+	"\x3b\xec\x37",
+	.key_len = 131,
+	.params = /* OID_gostTC26Sign512A */
+	"\x30\x0b\x06\x09\x2a\x85\x03\x07\x01\x02\x01\x02\x01",
+	.param_len = 13,
+	.c =
+	"\x7f\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff"
+	"\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff"
+	"\x93\xf3\x4a\x99\x7a\x46\xc4\x88\xb7\xf9\x15\xc6\xa7\x02\xb0\x30"
+	"\x4d\xa5\x9c\x55\xfd\x69\x5c\x2e\xe5\x66\xd8\xa0\x8f\x88\x59\x33"
+	"\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00"
+	"\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00"
+	"\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00"
+	"\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x03",
+	.c_size = 128,
+	.m =
+	"\x39\x59\x88\x8f\xa0\xd8\x66\xe5\x2e\x5c\x69\xfd\x55\x9c\xa5\x4d"
+	"\x30\xb0\x02\xa7\xc6\x15\xf9\xb7\x88\xc4\x46\x7a\x99\x4a\xf3\x93"
+	"\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff"
+	"\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\x7f",
+	.m_size = 64,
+	.algo = OID_gost2012PKey512,
+	.public_key_vec = true,
+	},
 };
 
 /*

base-commit: 165768bb70265b5c38cf0b73fafd75be235f8b14
-- 
2.47.3


^ permalink raw reply	[flat|nested] 4+ messages in thread
end of thread, other threads:[~2026-10-02 10:16 UTC | newest]

Thread overview: 4+ messages (download: mbox.gz / follow: Atom feed)
-- links below jump to the message on this page --
2026-09-26 20:43 [PATCH v2] crypto: ecc - Handle exceptional points in Shamir multiplication Jérémy Jean
2026-09-28 10:27 ` Ignat Korchagin
2026-10-01 18:44   ` Stefan Berger
2026-10-02 10:15 ` Herbert Xu

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