コード例 #1
0
ファイル: ec_cvt.c プロジェクト: 2trill2spill/nextgen
EC_GROUP *
EC_GROUP_new_curve_GF2m(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b,
    BN_CTX *ctx)
{
	const EC_METHOD *meth;
	EC_GROUP *ret;

	meth = EC_GF2m_simple_method();

	ret = EC_GROUP_new(meth);
	if (ret == NULL)
		return NULL;

	if (!EC_GROUP_set_curve_GF2m(ret, p, a, b, ctx)) {
		EC_GROUP_clear_free(ret);
		return NULL;
	}
	return ret;
}
コード例 #2
0
ファイル: ec_cvt.c プロジェクト: Orav/kbengine
EC_GROUP *EC_GROUP_new_curve_GF2m(const BIGNUM *p, const BIGNUM *a,
                                  const BIGNUM *b, BN_CTX *ctx)
{
    const EC_METHOD *meth;
    EC_GROUP *ret;

# ifdef OPENSSL_FIPS
    if (FIPS_mode())
        return FIPS_ec_group_new_curve_gf2m(p, a, b, ctx);
# endif
    meth = EC_GF2m_simple_method();

    ret = EC_GROUP_new(meth);
    if (ret == NULL)
        return NULL;

    if (!EC_GROUP_set_curve_GF2m(ret, p, a, b, ctx)) {
        EC_GROUP_clear_free(ret);
        return NULL;
    }

    return ret;
}
コード例 #3
0
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);

	}