/*
* NIST SP800-56A co-factor ECDH tests.
* KATs taken from NIST documents with parameters:
*
* - (QCAVSx,QCAVSy) is the public key for CAVS.
* - dIUT is the private key for IUT.
* - (QIUTx,QIUTy) is the public key for IUT.
* - ZIUT is the shared secret KAT.
*
* CAVS: Cryptographic Algorithm Validation System
* IUT: Implementation Under Test
*
* This function tests two things:
*
* 1. dIUT * G = (QIUTx,QIUTy)
* i.e. public key for IUT computes correctly.
* 2. x-coord of cofactor * dIUT * (QCAVSx,QCAVSy) = ZIUT
* i.e. co-factor ECDH key computes correctly.
*
* returns zero on failure or unsupported curve. One otherwise.
*/
static int ecdh_cavs_kat(BIO *out, const ecdh_cavs_kat_t *kat)
{
int rv = 0, is_char_two = 0;
EC_KEY *key1 = NULL;
EC_POINT *pub = NULL;
const EC_GROUP *group = NULL;
BIGNUM *bnz = NULL, *x = NULL, *y = NULL;
unsigned char *Ztmp = NULL, *Z = NULL;
size_t Ztmplen, Zlen;
BIO_puts(out, "Testing ECC CDH Primitive SP800-56A with ");
BIO_puts(out, OBJ_nid2sn(kat->nid));
/* dIUT is IUT's private key */
if ((key1 = mk_eckey(kat->nid, kat->dIUT)) == NULL)
goto err;
/* these are cofactor ECDH KATs */
EC_KEY_set_flags(key1, EC_FLAG_COFACTOR_ECDH);
if ((group = EC_KEY_get0_group(key1)) == NULL)
goto err;
if ((pub = EC_POINT_new(group)) == NULL)
goto err;
if (EC_METHOD_get_field_type(EC_GROUP_method_of(group)) == NID_X9_62_characteristic_two_field)
is_char_two = 1;
/* (QIUTx, QIUTy) is IUT's public key */
if(!BN_hex2bn(&x, kat->QIUTx))
goto err;
if(!BN_hex2bn(&y, kat->QIUTy))
goto err;
if (is_char_two) {
#ifdef OPENSSL_NO_EC2M
goto err;
#else
if (!EC_POINT_set_affine_coordinates_GF2m(group, pub, x, y, NULL))
goto err;
#endif
}
else {
if (!EC_POINT_set_affine_coordinates_GFp(group, pub, x, y, NULL))
goto err;
}
/* dIUT * G = (QIUTx, QIUTy) should hold */
if (EC_POINT_cmp(group, EC_KEY_get0_public_key(key1), pub, NULL))
goto err;
/* (QCAVSx, QCAVSy) is CAVS's public key */
if(!BN_hex2bn(&x, kat->QCAVSx))
goto err;
if(!BN_hex2bn(&y, kat->QCAVSy))
goto err;
if (is_char_two) {
#ifdef OPENSSL_NO_EC2M
goto err;
#else
if (!EC_POINT_set_affine_coordinates_GF2m(group, pub, x, y, NULL))
goto err;
#endif
}
else {
if (!EC_POINT_set_affine_coordinates_GFp(group, pub, x, y, NULL))
goto err;
}
/* ZIUT is the shared secret */
if(!BN_hex2bn(&bnz, kat->ZIUT))
goto err;
Ztmplen = (EC_GROUP_get_degree(EC_KEY_get0_group(key1)) + 7) / 8;
Zlen = BN_num_bytes(bnz);
if (Zlen > Ztmplen)
goto err;
if((Ztmp = OPENSSL_zalloc(Ztmplen)) == NULL)
goto err;
if((Z = OPENSSL_zalloc(Ztmplen)) == NULL)
goto err;
if(!BN_bn2binpad(bnz, Z, Ztmplen))
goto err;
if (!ECDH_compute_key(Ztmp, Ztmplen, pub, key1, 0))
goto err;
/* shared secrets should be identical */
if (memcmp(Ztmp, Z, Ztmplen))
goto err;
rv = 1;
err:
EC_KEY_free(key1);
EC_POINT_free(pub);
BN_free(bnz);
BN_free(x);
BN_free(y);
OPENSSL_free(Ztmp);
OPENSSL_free(Z);
if (rv) {
BIO_puts(out, " ok\n");
}
else {
fprintf(stderr, "Error in ECC CDH routines\n");
ERR_print_errors_fp(stderr);
}
return rv;
}
int EC_KEY_set_public_key_affine_coordinates(EC_KEY *key, BIGNUM *x,
BIGNUM *y)
{
BN_CTX *ctx = NULL;
BIGNUM *tx, *ty;
EC_POINT *point = NULL;
int ok = 0;
#ifndef OPENSSL_NO_EC2M
int tmp_nid, is_char_two = 0;
#endif
if (key == NULL || key->group == NULL || x == NULL || y == NULL) {
ECerr(EC_F_EC_KEY_SET_PUBLIC_KEY_AFFINE_COORDINATES,
ERR_R_PASSED_NULL_PARAMETER);
return 0;
}
ctx = BN_CTX_new();
if (ctx == NULL)
return 0;
BN_CTX_start(ctx);
point = EC_POINT_new(key->group);
if (point == NULL)
goto err;
tx = BN_CTX_get(ctx);
ty = BN_CTX_get(ctx);
if (ty == NULL)
goto err;
#ifndef OPENSSL_NO_EC2M
tmp_nid = EC_METHOD_get_field_type(EC_GROUP_method_of(key->group));
if (tmp_nid == NID_X9_62_characteristic_two_field)
is_char_two = 1;
if (is_char_two) {
if (!EC_POINT_set_affine_coordinates_GF2m(key->group, point,
x, y, ctx))
goto err;
if (!EC_POINT_get_affine_coordinates_GF2m(key->group, point,
tx, ty, ctx))
goto err;
} else
#endif
{
if (!EC_POINT_set_affine_coordinates_GFp(key->group, point,
x, y, ctx))
goto err;
if (!EC_POINT_get_affine_coordinates_GFp(key->group, point,
tx, ty, ctx))
goto err;
}
/*
* Check if retrieved coordinates match originals and are less than field
* order: if not values are out of range.
*/
if (BN_cmp(x, tx) || BN_cmp(y, ty)
|| (BN_cmp(x, key->group->field) >= 0)
|| (BN_cmp(y, key->group->field) >= 0)) {
ECerr(EC_F_EC_KEY_SET_PUBLIC_KEY_AFFINE_COORDINATES,
EC_R_COORDINATES_OUT_OF_RANGE);
goto err;
}
if (!EC_KEY_set_public_key(key, point))
goto err;
if (EC_KEY_check_key(key) == 0)
goto err;
ok = 1;
err:
BN_CTX_end(ctx);
BN_CTX_free(ctx);
EC_POINT_free(point);
return ok;
}
/* Computes a + b and stores the result in r. r could be a or b, a could be b.
* Uses algorithm A.10.2 of IEEE P1363.
*/
int ec_GF2m_simple_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx)
{
BN_CTX *new_ctx = NULL;
BIGNUM *x0, *y0, *x1, *y1, *x2, *y2, *s, *t;
int ret = 0;
if (EC_POINT_is_at_infinity(group, a))
{
if (!EC_POINT_copy(r, b)) return 0;
return 1;
}
if (EC_POINT_is_at_infinity(group, b))
{
if (!EC_POINT_copy(r, a)) return 0;
return 1;
}
if (ctx == NULL)
{
ctx = new_ctx = BN_CTX_new();
if (ctx == NULL)
return 0;
}
BN_CTX_start(ctx);
x0 = BN_CTX_get(ctx);
y0 = BN_CTX_get(ctx);
x1 = BN_CTX_get(ctx);
y1 = BN_CTX_get(ctx);
x2 = BN_CTX_get(ctx);
y2 = BN_CTX_get(ctx);
s = BN_CTX_get(ctx);
t = BN_CTX_get(ctx);
if (t == NULL) goto err;
if (a->Z_is_one)
{
if (!BN_copy(x0, &a->X)) goto err;
if (!BN_copy(y0, &a->Y)) goto err;
}
else
{
if (!EC_POINT_get_affine_coordinates_GF2m(group, a, x0, y0, ctx)) goto err;
}
if (b->Z_is_one)
{
if (!BN_copy(x1, &b->X)) goto err;
if (!BN_copy(y1, &b->Y)) goto err;
}
else
{
if (!EC_POINT_get_affine_coordinates_GF2m(group, b, x1, y1, ctx)) goto err;
}
if (BN_GF2m_cmp(x0, x1))
{
if (!BN_GF2m_add(t, x0, x1)) goto err;
if (!BN_GF2m_add(s, y0, y1)) goto err;
if (!group->meth->field_div(group, s, s, t, ctx)) goto err;
if (!group->meth->field_sqr(group, x2, s, ctx)) goto err;
if (!BN_GF2m_add(x2, x2, &group->a)) goto err;
if (!BN_GF2m_add(x2, x2, s)) goto err;
if (!BN_GF2m_add(x2, x2, t)) goto err;
}
else
{
if (BN_GF2m_cmp(y0, y1) || BN_is_zero(x1))
{
if (!EC_POINT_set_to_infinity(group, r)) goto err;
ret = 1;
goto err;
}
if (!group->meth->field_div(group, s, y1, x1, ctx)) goto err;
if (!BN_GF2m_add(s, s, x1)) goto err;
if (!group->meth->field_sqr(group, x2, s, ctx)) goto err;
if (!BN_GF2m_add(x2, x2, s)) goto err;
if (!BN_GF2m_add(x2, x2, &group->a)) goto err;
}
if (!BN_GF2m_add(y2, x1, x2)) goto err;
if (!group->meth->field_mul(group, y2, y2, s, ctx)) goto err;
if (!BN_GF2m_add(y2, y2, x2)) goto err;
if (!BN_GF2m_add(y2, y2, y1)) goto err;
if (!EC_POINT_set_affine_coordinates_GF2m(group, r, x2, y2, ctx)) goto err;
ret = 1;
err:
BN_CTX_end(ctx);
if (new_ctx != NULL)
BN_CTX_free(new_ctx);
return ret;
}
void char2_field_tests()
{
BN_CTX *ctx = NULL;
BIGNUM *p, *a, *b;
EC_GROUP *group;
EC_GROUP *C2_K163 = NULL, *C2_K233 = NULL, *C2_K283 = NULL, *C2_K409 = NULL, *C2_K571 = NULL;
EC_GROUP *C2_B163 = NULL, *C2_B233 = NULL, *C2_B283 = NULL, *C2_B409 = NULL, *C2_B571 = NULL;
EC_POINT *P, *Q, *R;
BIGNUM *x, *y, *z, *cof;
unsigned char buf[100];
size_t i, len;
int k;
#if 1 /* optional */
ctx = BN_CTX_new();
if (!ctx) ABORT;
#endif
p = BN_new();
a = BN_new();
b = BN_new();
if (!p || !a || !b) ABORT;
if (!BN_hex2bn(&p, "13")) ABORT;
if (!BN_hex2bn(&a, "3")) ABORT;
if (!BN_hex2bn(&b, "1")) ABORT;
group = EC_GROUP_new(EC_GF2m_simple_method()); /* applications should use EC_GROUP_new_curve_GF2m
* so that the library gets to choose the EC_METHOD */
if (!group) ABORT;
if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) ABORT;
{
EC_GROUP *tmp;
tmp = EC_GROUP_new(EC_GROUP_method_of(group));
if (!tmp) ABORT;
if (!EC_GROUP_copy(tmp, group)) ABORT;
EC_GROUP_free(group);
group = tmp;
}
if (!EC_GROUP_get_curve_GF2m(group, p, a, b, ctx)) ABORT;
fprintf(stdout, "Curve defined by Weierstrass equation\n y^2 + x*y = x^3 + a*x^2 + b (mod 0x");
BN_print_fp(stdout, p);
fprintf(stdout, ")\n a = 0x");
BN_print_fp(stdout, a);
fprintf(stdout, "\n b = 0x");
BN_print_fp(stdout, b);
fprintf(stdout, "\n(0x... means binary polynomial)\n");
P = EC_POINT_new(group);
Q = EC_POINT_new(group);
R = EC_POINT_new(group);
if (!P || !Q || !R) ABORT;
if (!EC_POINT_set_to_infinity(group, P)) ABORT;
if (!EC_POINT_is_at_infinity(group, P)) ABORT;
buf[0] = 0;
if (!EC_POINT_oct2point(group, Q, buf, 1, ctx)) ABORT;
if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
if (!EC_POINT_is_at_infinity(group, P)) ABORT;
x = BN_new();
y = BN_new();
z = BN_new();
cof = BN_new();
if (!x || !y || !z || !cof) ABORT;
if (!BN_hex2bn(&x, "6")) ABORT;
/* Change test based on whether binary point compression is enabled or not. */
#ifdef OPENSSL_EC_BIN_PT_COMP
if (!EC_POINT_set_compressed_coordinates_GF2m(group, Q, x, 1, ctx)) ABORT;
#else
if (!BN_hex2bn(&y, "8")) ABORT;
if (!EC_POINT_set_affine_coordinates_GF2m(group, Q, x, y, ctx)) ABORT;
#endif
if (!EC_POINT_is_on_curve(group, Q, ctx))
{
/* Change test based on whether binary point compression is enabled or not. */
#ifdef OPENSSL_EC_BIN_PT_COMP
if (!EC_POINT_get_affine_coordinates_GF2m(group, Q, x, y, ctx)) ABORT;
#endif
fprintf(stderr, "Point is not on curve: x = 0x");
BN_print_fp(stderr, x);
fprintf(stderr, ", y = 0x");
BN_print_fp(stderr, y);
fprintf(stderr, "\n");
ABORT;
}
fprintf(stdout, "A cyclic subgroup:\n");
k = 100;
do
{
if (k-- == 0) ABORT;
if (EC_POINT_is_at_infinity(group, P))
fprintf(stdout, " point at infinity\n");
else
{
if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT;
fprintf(stdout, " x = 0x");
BN_print_fp(stdout, x);
fprintf(stdout, ", y = 0x");
BN_print_fp(stdout, y);
fprintf(stdout, "\n");
}
if (!EC_POINT_copy(R, P)) ABORT;
if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
}
while (!EC_POINT_is_at_infinity(group, P));
if (!EC_POINT_add(group, P, Q, R, ctx)) ABORT;
if (!EC_POINT_is_at_infinity(group, P)) ABORT;
/* Change test based on whether binary point compression is enabled or not. */
#ifdef OPENSSL_EC_BIN_PT_COMP
len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, sizeof buf, ctx);
if (len == 0) ABORT;
if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
fprintf(stdout, "Generator as octet string, compressed form:\n ");
for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
#endif
len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, sizeof buf, ctx);
if (len == 0) ABORT;
if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n ");
for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
/* Change test based on whether binary point compression is enabled or not. */
#ifdef OPENSSL_EC_BIN_PT_COMP
len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf, ctx);
if (len == 0) ABORT;
if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
fprintf(stdout, "\nGenerator as octet string, hybrid form:\n ");
for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
#endif
fprintf(stdout, "\n");
if (!EC_POINT_invert(group, P, ctx)) ABORT;
if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
/* Curve K-163 (FIPS PUB 186-2, App. 6) */
CHAR2_CURVE_TEST
(
"NIST curve K-163",
"0800000000000000000000000000000000000000C9",
"1",
"1",
"02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8",
"0289070FB05D38FF58321F2E800536D538CCDAA3D9",
1,
"04000000000000000000020108A2E0CC0D99F8A5EF",
"2",
163,
C2_K163
);
/* Curve B-163 (FIPS PUB 186-2, App. 6) */
CHAR2_CURVE_TEST
(
"NIST curve B-163",
"0800000000000000000000000000000000000000C9",
"1",
"020A601907B8C953CA1481EB10512F78744A3205FD",
"03F0EBA16286A2D57EA0991168D4994637E8343E36",
"00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1",
1,
"040000000000000000000292FE77E70C12A4234C33",
"2",
163,
C2_B163
);
/* Curve K-233 (FIPS PUB 186-2, App. 6) */
CHAR2_CURVE_TEST
(
"NIST curve K-233",
"020000000000000000000000000000000000000004000000000000000001",
"0",
"1",
"017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126",
"01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3",
0,
"008000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF",
"4",
233,
C2_K233
);
/* Curve B-233 (FIPS PUB 186-2, App. 6) */
CHAR2_CURVE_TEST
(
"NIST curve B-233",
"020000000000000000000000000000000000000004000000000000000001",
"000000000000000000000000000000000000000000000000000000000001",
"0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD",
"00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B",
"01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052",
1,
"01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7",
"2",
233,
C2_B233
);
/* Curve K-283 (FIPS PUB 186-2, App. 6) */
CHAR2_CURVE_TEST
(
"NIST curve K-283",
"0800000000000000000000000000000000000000000000000000000000000000000010A1",
"0",
"1",
"0503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2458492836",
"01CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259",
0,
"01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61",
"4",
283,
C2_K283
);
/* Curve B-283 (FIPS PUB 186-2, App. 6) */
CHAR2_CURVE_TEST
(
"NIST curve B-283",
"0800000000000000000000000000000000000000000000000000000000000000000010A1",
"000000000000000000000000000000000000000000000000000000000000000000000001",
"027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5",
"05F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B12053",
"03676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4",
1,
"03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307",
"2",
283,
C2_B283
);
/* Curve K-409 (FIPS PUB 186-2, App. 6) */
CHAR2_CURVE_TEST
(
"NIST curve K-409",
"02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001",
"0",
"1",
"0060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE9023746",
"01E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B",
1,
"007FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF",
"4",
409,
C2_K409
);
/* Curve B-409 (FIPS PUB 186-2, App. 6) */
CHAR2_CURVE_TEST
(
"NIST curve B-409",
"02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001",
"00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
"0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F",
"015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A7",
"0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706",
1,
"010000000000000000000000000000000000000000000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173",
"2",
409,
C2_B409
);
/* Curve K-571 (FIPS PUB 186-2, App. 6) */
CHAR2_CURVE_TEST
(
"NIST curve K-571",
"80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425",
"0",
"1",
"026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C8972",
"0349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3",
0,
"020000000000000000000000000000000000000000000000000000000000000000000000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001",
"4",
571,
C2_K571
);
/* Curve B-571 (FIPS PUB 186-2, App. 6) */
CHAR2_CURVE_TEST
(
"NIST curve B-571",
"80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425",
"000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
"02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A",
"0303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19",
"037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B",
1,
"03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47",
"2",
571,
C2_B571
);
/* more tests using the last curve */
if (!EC_POINT_copy(Q, P)) ABORT;
if (EC_POINT_is_at_infinity(group, Q)) ABORT;
if (!EC_POINT_dbl(group, P, P, ctx)) ABORT;
if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
if (!EC_POINT_invert(group, Q, ctx)) ABORT; /* P = -2Q */
if (!EC_POINT_add(group, R, P, Q, ctx)) ABORT;
if (!EC_POINT_add(group, R, R, Q, ctx)) ABORT;
if (!EC_POINT_is_at_infinity(group, R)) ABORT; /* R = P + 2Q */
{
const EC_POINT *points[3];
const BIGNUM *scalars[3];
if (EC_POINT_is_at_infinity(group, Q)) ABORT;
points[0] = Q;
points[1] = Q;
points[2] = Q;
if (!BN_add(y, z, BN_value_one())) ABORT;
if (BN_is_odd(y)) ABORT;
if (!BN_rshift1(y, y)) ABORT;
scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */
scalars[1] = y;
fprintf(stdout, "combined multiplication ...");
fflush(stdout);
/* z is still the group order */
if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) ABORT;
if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
if (0 != EC_POINT_cmp(group, R, Q, ctx)) ABORT;
fprintf(stdout, ".");
fflush(stdout);
if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0)) ABORT;
if (!BN_add(z, z, y)) ABORT;
BN_set_negative(z, 1);
scalars[0] = y;
scalars[1] = z; /* z = -(order + y) */
if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
if (!EC_POINT_is_at_infinity(group, P)) ABORT;
fprintf(stdout, ".");
fflush(stdout);
if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0)) ABORT;
if (!BN_add(z, x, y)) ABORT;
BN_set_negative(z, 1);
scalars[0] = x;
scalars[1] = y;
scalars[2] = z; /* z = -(x+y) */
if (!EC_POINTs_mul(group, P, NULL, 3, points, scalars, ctx)) ABORT;
if (!EC_POINT_is_at_infinity(group, P)) ABORT;
fprintf(stdout, " ok\n\n");
}
#if 0
timings(C2_K163, TIMING_BASE_PT, ctx);
timings(C2_K163, TIMING_RAND_PT, ctx);
timings(C2_K163, TIMING_SIMUL, ctx);
timings(C2_B163, TIMING_BASE_PT, ctx);
timings(C2_B163, TIMING_RAND_PT, ctx);
timings(C2_B163, TIMING_SIMUL, ctx);
timings(C2_K233, TIMING_BASE_PT, ctx);
timings(C2_K233, TIMING_RAND_PT, ctx);
timings(C2_K233, TIMING_SIMUL, ctx);
timings(C2_B233, TIMING_BASE_PT, ctx);
timings(C2_B233, TIMING_RAND_PT, ctx);
timings(C2_B233, TIMING_SIMUL, ctx);
timings(C2_K283, TIMING_BASE_PT, ctx);
timings(C2_K283, TIMING_RAND_PT, ctx);
timings(C2_K283, TIMING_SIMUL, ctx);
timings(C2_B283, TIMING_BASE_PT, ctx);
timings(C2_B283, TIMING_RAND_PT, ctx);
timings(C2_B283, TIMING_SIMUL, ctx);
timings(C2_K409, TIMING_BASE_PT, ctx);
timings(C2_K409, TIMING_RAND_PT, ctx);
timings(C2_K409, TIMING_SIMUL, ctx);
timings(C2_B409, TIMING_BASE_PT, ctx);
timings(C2_B409, TIMING_RAND_PT, ctx);
timings(C2_B409, TIMING_SIMUL, ctx);
timings(C2_K571, TIMING_BASE_PT, ctx);
timings(C2_K571, TIMING_RAND_PT, ctx);
timings(C2_K571, TIMING_SIMUL, ctx);
timings(C2_B571, TIMING_BASE_PT, ctx);
timings(C2_B571, TIMING_RAND_PT, ctx);
timings(C2_B571, TIMING_SIMUL, ctx);
#endif
if (ctx)
BN_CTX_free(ctx);
BN_free(p); BN_free(a); BN_free(b);
EC_GROUP_free(group);
EC_POINT_free(P);
EC_POINT_free(Q);
EC_POINT_free(R);
BN_free(x); BN_free(y); BN_free(z); BN_free(cof);
if (C2_K163) EC_GROUP_free(C2_K163);
if (C2_B163) EC_GROUP_free(C2_B163);
if (C2_K233) EC_GROUP_free(C2_K233);
if (C2_B233) EC_GROUP_free(C2_B233);
if (C2_K283) EC_GROUP_free(C2_K283);
if (C2_B283) EC_GROUP_free(C2_B283);
if (C2_K409) EC_GROUP_free(C2_K409);
if (C2_B409) EC_GROUP_free(C2_B409);
if (C2_K571) EC_GROUP_free(C2_K571);
if (C2_B571) EC_GROUP_free(C2_B571);
}
static EC_GROUP *ec_group_new_from_data(const EC_CURVE_DATA *data)
{
EC_GROUP *group=NULL;
EC_POINT *P=NULL;
BN_CTX *ctx=NULL;
BIGNUM *p=NULL, *a=NULL, *b=NULL, *x=NULL, *y=NULL, *order=NULL;
int ok=0;
if ((ctx = BN_CTX_new()) == NULL)
{
ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_MALLOC_FAILURE);
goto err;
}
if ((p = BN_new()) == NULL || (a = BN_new()) == NULL ||
(b = BN_new()) == NULL || (x = BN_new()) == NULL ||
(y = BN_new()) == NULL || (order = BN_new()) == NULL)
{
ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_MALLOC_FAILURE);
goto err;
}
if (!BN_hex2bn(&p, data->p) || !BN_hex2bn(&a, data->a)
|| !BN_hex2bn(&b, data->b))
{
ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_BN_LIB);
goto err;
}
if (data->field_type == NID_X9_62_prime_field)
{
if ((group = EC_GROUP_new_curve_GFp(p, a, b, ctx)) == NULL)
{
ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB);
goto err;
}
}
else
{ /* field_type == NID_X9_62_characteristic_two_field */
if ((group = EC_GROUP_new_curve_GF2m(p, a, b, ctx)) == NULL)
{
ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB);
goto err;
}
}
if ((P = EC_POINT_new(group)) == NULL)
{
ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB);
goto err;
}
if (!BN_hex2bn(&x, data->x) || !BN_hex2bn(&y, data->y))
{
ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_BN_LIB);
goto err;
}
if (!EC_POINT_set_affine_coordinates_GF2m(group, P, x, y, ctx))
{
ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB);
goto err;
}
if (!BN_hex2bn(&order, data->order) || !BN_set_word(x, data->cofactor))
{
ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_BN_LIB);
goto err;
}
if (!EC_GROUP_set_generator(group, P, order, x))
{
ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB);
goto err;
}
if (data->seed)
{
if (!EC_GROUP_set_seed(group, data->seed, data->seed_len))
{
ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB);
goto err;
}
}
ok=1;
err:
if (!ok)
{
EC_GROUP_free(group);
group = NULL;
}
if (P)
EC_POINT_free(P);
if (ctx)
BN_CTX_free(ctx);
if (p)
BN_free(p);
if (a)
BN_free(a);
if (b)
BN_free(b);
if (order)
BN_free(order);
if (x)
BN_free(x);
if (y)
BN_free(y);
return group;
}
int SM2_do_decrypt(const EVP_MD *md, const SM2CiphertextValue *cv,
unsigned char *out, size_t *outlen, EC_KEY *ec_key)
{
int ret = 0;
const EC_GROUP *group;
const BIGNUM *pri_key;
KDF_FUNC kdf;
EC_POINT *point = NULL;
EC_POINT *tmp_point = NULL;
BIGNUM *n = NULL;
BIGNUM *h = NULL;
BN_CTX *bn_ctx = NULL;
EVP_MD_CTX *md_ctx = NULL;
unsigned char buf[(OPENSSL_ECC_MAX_FIELD_BITS + 7)/4 + 1];
unsigned char mac[EVP_MAX_MD_SIZE];
unsigned int maclen = sizeof(mac);
int nbytes, len, i;
/* check arguments */
if (!md || !cv || !outlen || !ec_key) {
SM2err(SM2_F_SM2_DO_DECRYPT, ERR_R_PASSED_NULL_PARAMETER);
return 0;
}
if (!(kdf = KDF_get_x9_63(md))) {
SM2err(SM2_F_SM2_DO_DECRYPT, SM2_R_INVALID_DIGEST_ALGOR);
return 0;
}
if (!cv->xCoordinate || !cv->yCoordinate || !cv->hash || !cv->ciphertext) {
SM2err(SM2_F_SM2_DO_DECRYPT, SM2_R_INVALID_CIPHERTEXT);
return 0;
}
if (cv->hash->length != EVP_MD_size(md)) {
SM2err(SM2_F_SM2_DO_DECRYPT, SM2_R_INVALID_CIPHERTEXT);
return 0;
}
if (cv->ciphertext->length < SM2_MIN_PLAINTEXT_LENGTH
|| cv->ciphertext->length > SM2_MAX_PLAINTEXT_LENGTH) {
SM2err(SM2_F_SM2_DO_DECRYPT, SM2_R_INVALID_CIPHERTEXT);
return 0;
}
if (!(group = EC_KEY_get0_group(ec_key))
|| !(pri_key = EC_KEY_get0_private_key(ec_key))) {
SM2err(SM2_F_SM2_DO_DECRYPT, SM2_R_INVALID_EC_KEY);
return 0;
}
if (!out) {
*outlen = cv->ciphertext->length;
return 1;
}
if (*outlen < cv->ciphertext->length) {
SM2err(SM2_F_SM2_DO_DECRYPT, SM2_R_BUFFER_TOO_SMALL);
return 0;
}
/* malloc */
point = EC_POINT_new(group);
tmp_point = EC_POINT_new(group);
n = BN_new();
h = BN_new();
bn_ctx = BN_CTX_new();
md_ctx = EVP_MD_CTX_new();
if (!point || !n || !h || !bn_ctx || !md_ctx) {
SM2err(SM2_F_SM2_DO_DECRYPT, ERR_R_MALLOC_FAILURE);
goto end;
}
/* init ec domain parameters */
if (!EC_GROUP_get_order(group, n, bn_ctx)) {
SM2err(SM2_F_SM2_DO_DECRYPT, ERR_R_EC_LIB);
goto end;
}
if (!EC_GROUP_get_cofactor(group, h, bn_ctx)) {
SM2err(SM2_F_SM2_DO_DECRYPT, ERR_R_EC_LIB);
goto end;
}
nbytes = (EC_GROUP_get_degree(group) + 7) / 8;
/* get x/yCoordinates as C1 = (x1, y1) */
if (EC_METHOD_get_field_type(EC_GROUP_method_of(group)) == NID_X9_62_prime_field) {
if (!EC_POINT_set_affine_coordinates_GFp(group, point,
cv->xCoordinate, cv->yCoordinate, bn_ctx)) {
SM2err(SM2_F_SM2_DO_DECRYPT, SM2_R_INVALID_CIPHERTEXT);
goto end;
}
} else {
if (!EC_POINT_set_affine_coordinates_GF2m(group, point,
cv->xCoordinate, cv->yCoordinate, bn_ctx)) {
SM2err(SM2_F_SM2_DO_DECRYPT, SM2_R_INVALID_CIPHERTEXT);
goto end;
}
}
/* check [h]C1 != O */
if (!EC_POINT_mul(group, tmp_point, NULL, point, h, bn_ctx)) {
SM2err(SM2_F_SM2_DO_DECRYPT, ERR_R_EC_LIB);
goto end;
}
if (EC_POINT_is_at_infinity(group, tmp_point)) {
SM2err(SM2_F_SM2_DO_DECRYPT, SM2_R_INVALID_CIPHERTEXT);
goto end;
}
/* compute ECDH [d]C1 = (x2, y2) */
if (!EC_POINT_mul(group, point, NULL, point, pri_key, bn_ctx)) {
SM2err(SM2_F_SM2_DO_DECRYPT, ERR_R_EC_LIB);
goto end;
}
if (!(len = EC_POINT_point2oct(group, point,
POINT_CONVERSION_UNCOMPRESSED, buf, sizeof(buf), bn_ctx))) {
SM2err(SM2_F_SM2_DO_DECRYPT, ERR_R_EC_LIB);
goto end;
}
/* compute t = KDF(x2 || y2, clen) */
*outlen = cv->ciphertext->length;
kdf(buf + 1, len - 1, out, outlen);
/* compute M = C2 xor t */
for (i = 0; i < cv->ciphertext->length; i++) {
out[i] ^= cv->ciphertext->data[i];
}
/* check hash == Hash(x2 || M || y2) */
if (!EVP_DigestInit_ex(md_ctx, md, NULL)
|| !EVP_DigestUpdate(md_ctx, buf + 1, nbytes)
|| !EVP_DigestUpdate(md_ctx, out, *outlen)
|| !EVP_DigestUpdate(md_ctx, buf + 1 + nbytes, nbytes)
|| !EVP_DigestFinal_ex(md_ctx, mac, &maclen)) {
SM2err(SM2_F_SM2_DO_DECRYPT, ERR_R_EVP_LIB);
goto end;
}
if (OPENSSL_memcmp(cv->hash->data, mac, maclen) != 0) {
SM2err(SM2_F_SM2_DO_DECRYPT, SM2_R_INVALID_CIPHERTEXT);
goto end;
}
ret = 1;
end:
EC_POINT_free(point);
EC_POINT_free(tmp_point);
BN_free(n);
BN_free(h);
BN_CTX_free(bn_ctx);
EVP_MD_CTX_free(md_ctx);
return ret;
}
