Пример #1
0
int EC_KEY_check_key(const EC_KEY *eckey) {
  int ok = 0;
  BN_CTX *ctx = NULL;
  EC_POINT *point = NULL;

  if (!eckey || !eckey->group || !eckey->pub_key) {
    OPENSSL_PUT_ERROR(EC, ERR_R_PASSED_NULL_PARAMETER);
    return 0;
  }

  if (EC_POINT_is_at_infinity(eckey->group, eckey->pub_key)) {
    OPENSSL_PUT_ERROR(EC, EC_R_POINT_AT_INFINITY);
    goto err;
  }

  ctx = BN_CTX_new();

  if (ctx == NULL) {
    goto err;
  }

  /* testing whether the pub_key is on the elliptic curve */
  if (!EC_POINT_is_on_curve(eckey->group, eckey->pub_key, ctx)) {
    OPENSSL_PUT_ERROR(EC, EC_R_POINT_IS_NOT_ON_CURVE);
    goto err;
  }

  /* BoringSSL has a check here that pub_key * order is the point at infinity.
   * That check isn't needed for the curves *ring* supports because all of the
   * curves *ring* supports have cofactor 1 and prime order; see section A.3 of
   * the NSA's "Suite B Implementer's Guide to FIPS 186-3 (ECDSA)". */

  /* in case the priv_key is present :
   * check if generator * priv_key == pub_key
   */
  if (eckey->priv_key) {
    /* XXX: |BN_cmp| is not constant time. */
    if (BN_cmp(eckey->priv_key, &eckey->group->order) >= 0) {
      OPENSSL_PUT_ERROR(EC, EC_R_WRONG_ORDER);
      goto err;
    }
    point = EC_POINT_new(eckey->group);
    if (point == NULL ||
        !eckey->group->meth->mul_private(eckey->group, point, eckey->priv_key,
                                         NULL, NULL, ctx)) {
      OPENSSL_PUT_ERROR(EC, ERR_R_EC_LIB);
      goto err;
    }
    if (EC_POINT_cmp(eckey->group, point, eckey->pub_key, ctx) != 0) {
      OPENSSL_PUT_ERROR(EC, EC_R_INVALID_PRIVATE_KEY);
      goto err;
    }
  }
  ok = 1;

err:
  BN_CTX_free(ctx);
  EC_POINT_free(point);
  return ok;
}
Пример #2
0
int EC_GROUP_check(const EC_GROUP *group, BN_CTX *ctx)
{
    int ret = 0;
    BIGNUM *order;
    BN_CTX *new_ctx = NULL;
    EC_POINT *point = NULL;

    if (ctx == NULL) {
        ctx = new_ctx = BN_CTX_new();
        if (ctx == NULL) {
            ECerr(EC_F_EC_GROUP_CHECK, ERR_R_MALLOC_FAILURE);
            goto err;
        }
    }
    BN_CTX_start(ctx);
    if ((order = BN_CTX_get(ctx)) == NULL)
        goto err;

    /* check the discriminant */
    if (!EC_GROUP_check_discriminant(group, ctx)) {
        ECerr(EC_F_EC_GROUP_CHECK, EC_R_DISCRIMINANT_IS_ZERO);
        goto err;
    }

    /* check the generator */
    if (group->generator == NULL) {
        ECerr(EC_F_EC_GROUP_CHECK, EC_R_UNDEFINED_GENERATOR);
        goto err;
    }
    if (!EC_POINT_is_on_curve(group, group->generator, ctx)) {
        ECerr(EC_F_EC_GROUP_CHECK, EC_R_POINT_IS_NOT_ON_CURVE);
        goto err;
    }

    /* check the order of the generator */
    if ((point = EC_POINT_new(group)) == NULL)
        goto err;
    if (!EC_GROUP_get_order(group, order, ctx))
        goto err;
    if (BN_is_zero(order)) {
        ECerr(EC_F_EC_GROUP_CHECK, EC_R_UNDEFINED_ORDER);
        goto err;
    }

    if (!EC_POINT_mul(group, point, order, NULL, NULL, ctx))
        goto err;
    if (!EC_POINT_is_at_infinity(group, point)) {
        ECerr(EC_F_EC_GROUP_CHECK, EC_R_INVALID_GROUP_ORDER);
        goto err;
    }

    ret = 1;

 err:
    if (ctx != NULL)
        BN_CTX_end(ctx);
    BN_CTX_free(new_ctx);
    EC_POINT_free(point);
    return ret;
}
Пример #3
0
int verify_x962_octets_are_on_p256(const unsigned char* octets, size_t len) {
  assert(octets);
  assert(len);

  EC_GROUP* p256group = EC_GROUP_new_by_curve_name(NID_X9_62_prime256v1);
  if (!p256group) {
    fprintf(stderr, "error: EC_GROUP_new_by_curve_name() failed.\n");
    return 4;
  }

  EC_POINT* point = EC_POINT_new(p256group);
  if (!point) {
    fprintf(stderr, "error: EC_POINT_new() failed.\n");
    EC_GROUP_free(p256group);
    return 4;
  }

  if (0 == EC_POINT_oct2point(p256group, point, octets, len, NULL)) {
    fprintf(stderr, "error: EC_POINT_oct2point() failed.\n");
    EC_POINT_free(point);
    EC_GROUP_free(p256group);
    return 4;
  }

  if (0 == EC_POINT_is_on_curve(p256group, point, NULL)) {
    fprintf(stderr, "error: Public key point isn't on P-256 curve.\n");
    EC_POINT_free(point);
    EC_GROUP_free(p256group);
    return 4;
  }

  EC_POINT_free(point);
  EC_GROUP_free(p256group);
  return 0;
}
Пример #4
0
Файл: conv.c Проект: tiran/tang
int
conv_os2point(const EC_GROUP *grp, const ASN1_OCTET_STRING *os, EC_POINT *p,
              BN_CTX *ctx)
{
    if (EC_POINT_oct2point(grp, p, os->data, os->length, ctx) <= 0)
        return ENOMEM;

    if (EC_POINT_is_on_curve(grp, p, ctx) == 0)
        return EINVAL;

    if (EC_POINT_is_at_infinity(grp, p))
        return EINVAL;

    return 0;
}
Пример #5
0
int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group, EC_POINT *point,
                                        const BIGNUM *x, const BIGNUM *y,
                                        BN_CTX *ctx) {
  if (group->meth != point->meth) {
    OPENSSL_PUT_ERROR(EC, EC_R_INCOMPATIBLE_OBJECTS);
    return 0;
  }
  if (!ec_GFp_simple_point_set_affine_coordinates(group, point, x, y, ctx)) {
    return 0;
  }

  if (!EC_POINT_is_on_curve(group, point, ctx)) {
    OPENSSL_PUT_ERROR(EC, EC_R_POINT_IS_NOT_ON_CURVE);
    return 0;
  }

  return 1;
}
Пример #6
0
int EC_POINT_set_affine_coordinates(const EC_GROUP *group, EC_POINT *point,
                                    const BIGNUM *x, const BIGNUM *y,
                                    BN_CTX *ctx)
{
    if (group->meth->point_set_affine_coordinates == NULL) {
        ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES,
              ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
        return 0;
    }
    if (!ec_point_is_compat(point, group)) {
        ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES, EC_R_INCOMPATIBLE_OBJECTS);
        return 0;
    }
    if (!group->meth->point_set_affine_coordinates(group, point, x, y, ctx))
        return 0;

    if (EC_POINT_is_on_curve(group, point, ctx) <= 0) {
        ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES, EC_R_POINT_IS_NOT_ON_CURVE);
        return 0;
    }
    return 1;
}
Пример #7
0
int
compute_password_element (pwd_session_t *sess, uint16_t grp_num,
			  char *password, int password_len,
			  char *id_server, int id_server_len,
			  char *id_peer, int id_peer_len,
			  uint32_t *token)
{
    BIGNUM *x_candidate = NULL, *rnd = NULL, *cofactor = NULL;
    HMAC_CTX ctx;
    uint8_t pwe_digest[SHA256_DIGEST_LENGTH], *prfbuf = NULL, ctr;
    int nid, is_odd, primebitlen, primebytelen, ret = 0;

    switch (grp_num) { /* from IANA registry for IKE D-H groups */
	case 19:
	    nid = NID_X9_62_prime256v1;
	    break;
	case 20:
	    nid = NID_secp384r1;
	    break;
	case 21:
	    nid = NID_secp521r1;
	    break;
	case 25:
	    nid = NID_X9_62_prime192v1;
	    break;
	case 26:
	    nid = NID_secp224r1;
	    break;
	default:
	    DEBUG("unknown group %d", grp_num);
	    goto fail;
    }

    sess->pwe = NULL;
    sess->order = NULL;
    sess->prime = NULL;

    if ((sess->group = EC_GROUP_new_by_curve_name(nid)) == NULL) {
	DEBUG("unable to create EC_GROUP");
	goto fail;
    }

    if (((rnd = BN_new()) == NULL) ||
	((cofactor = BN_new()) == NULL) ||
	((sess->pwe = EC_POINT_new(sess->group)) == NULL) ||
	((sess->order = BN_new()) == NULL) ||
	((sess->prime = BN_new()) == NULL) ||
	((x_candidate = BN_new()) == NULL)) {
	DEBUG("unable to create bignums");
	goto fail;
    }

    if (!EC_GROUP_get_curve_GFp(sess->group, sess->prime, NULL, NULL, NULL))
    {
	DEBUG("unable to get prime for GFp curve");
	goto fail;
    }
    if (!EC_GROUP_get_order(sess->group, sess->order, NULL)) {
	DEBUG("unable to get order for curve");
	goto fail;
    }
    if (!EC_GROUP_get_cofactor(sess->group, cofactor, NULL)) {
	DEBUG("unable to get cofactor for curve");
	goto fail;
    }
    primebitlen = BN_num_bits(sess->prime);
    primebytelen = BN_num_bytes(sess->prime);
    if ((prfbuf = talloc_zero_array(sess, uint8_t, primebytelen)) == NULL) {
	DEBUG("unable to alloc space for prf buffer");
	goto fail;
    }
    ctr = 0;
    while (1) {
	if (ctr > 10) {
	    DEBUG("unable to find random point on curve for group %d, something's fishy", grp_num);
	    goto fail;
	}
	ctr++;

	/*
	 * compute counter-mode password value and stretch to prime
	 *    pwd-seed = H(token | peer-id | server-id | password |
	 *		   counter)
	 */
	H_Init(&ctx);
	H_Update(&ctx, (uint8_t *)token, sizeof(*token));
	H_Update(&ctx, (uint8_t *)id_peer, id_peer_len);
	H_Update(&ctx, (uint8_t *)id_server, id_server_len);
	H_Update(&ctx, (uint8_t *)password, password_len);
	H_Update(&ctx, (uint8_t *)&ctr, sizeof(ctr));
	H_Final(&ctx, pwe_digest);

	BN_bin2bn(pwe_digest, SHA256_DIGEST_LENGTH, rnd);
	eap_pwd_kdf(pwe_digest, SHA256_DIGEST_LENGTH,
		    "EAP-pwd Hunting And Pecking",
		    strlen("EAP-pwd Hunting And Pecking"),
		    prfbuf, primebitlen);

	BN_bin2bn(prfbuf, primebytelen, x_candidate);
	/*
	 * eap_pwd_kdf() returns a string of bits 0..primebitlen but
	 * BN_bin2bn will treat that string of bits as a big endian
	 * number. If the primebitlen is not an even multiple of 8
	 * then excessive bits-- those _after_ primebitlen-- so now
	 * we have to shift right the amount we masked off.
	 */
	if (primebitlen % 8) {
	    BN_rshift(x_candidate, x_candidate, (8 - (primebitlen % 8)));
	}
	if (BN_ucmp(x_candidate, sess->prime) >= 0) {
	    continue;
	}
	/*
	 * need to unambiguously identify the solution, if there is
	 * one...
	 */
	if (BN_is_odd(rnd)) {
	    is_odd = 1;
	} else {
	    is_odd = 0;
	}
	/*
	 * solve the quadratic equation, if it's not solvable then we
	 * don't have a point
	 */
	if (!EC_POINT_set_compressed_coordinates_GFp(sess->group,
						     sess->pwe,
						     x_candidate,
						     is_odd, NULL)) {
	    continue;
	}
	/*
	 * If there's a solution to the equation then the point must be
	 * on the curve so why check again explicitly? OpenSSL code
	 * says this is required by X9.62. We're not X9.62 but it can't
	 * hurt just to be sure.
	 */
	if (!EC_POINT_is_on_curve(sess->group, sess->pwe, NULL)) {
	    DEBUG("EAP-pwd: point is not on curve");
	    continue;
	}

	if (BN_cmp(cofactor, BN_value_one())) {
	    /* make sure the point is not in a small sub-group */
	    if (!EC_POINT_mul(sess->group, sess->pwe, NULL, sess->pwe,
			      cofactor, NULL)) {
		DEBUG("EAP-pwd: cannot multiply generator by order");
		continue;
	    }
	    if (EC_POINT_is_at_infinity(sess->group, sess->pwe)) {
		DEBUG("EAP-pwd: point is at infinity");
		continue;
	    }
	}
	/* if we got here then we have a new generator. */
	break;
    }
    sess->group_num = grp_num;
    if (0) {
fail:				/* DON'T free sess, it's in handler->opaque */
	ret = -1;
    }
    /* cleanliness and order.... */
    BN_free(cofactor);
    BN_free(x_candidate);
    BN_free(rnd);
    talloc_free(prfbuf);

    return ret;
}
Пример #8
0
/*
 * Converts an octet string representation to an EC_POINT. Note that the
 * simple implementation only uses affine coordinates.
 */
int ec_GF2m_simple_oct2point(const EC_GROUP *group, EC_POINT *point,
                             const unsigned char *buf, size_t len,
                             BN_CTX *ctx)
{
    point_conversion_form_t form;
    int y_bit;
    BN_CTX *new_ctx = NULL;
    BIGNUM *x, *y, *yxi;
    size_t field_len, enc_len;
    int ret = 0;

    if (len == 0) {
        ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_BUFFER_TOO_SMALL);
        return 0;
    }
    form = buf[0];
    y_bit = form & 1;
    form = form & ~1U;
    if ((form != 0) && (form != POINT_CONVERSION_COMPRESSED)
        && (form != POINT_CONVERSION_UNCOMPRESSED)
        && (form != POINT_CONVERSION_HYBRID)) {
        ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
        return 0;
    }
    if ((form == 0 || form == POINT_CONVERSION_UNCOMPRESSED) && y_bit) {
        ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
        return 0;
    }

    if (form == 0) {
        if (len != 1) {
            ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
            return 0;
        }

        return EC_POINT_set_to_infinity(group, point);
    }

    field_len = (EC_GROUP_get_degree(group) + 7) / 8;
    enc_len =
        (form ==
         POINT_CONVERSION_COMPRESSED) ? 1 + field_len : 1 + 2 * field_len;

    if (len != enc_len) {
        ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
        return 0;
    }

    if (ctx == NULL) {
        ctx = new_ctx = BN_CTX_new();
        if (ctx == NULL)
            return 0;
    }

    BN_CTX_start(ctx);
    x = BN_CTX_get(ctx);
    y = BN_CTX_get(ctx);
    yxi = BN_CTX_get(ctx);
    if (yxi == NULL)
        goto err;

    if (!BN_bin2bn(buf + 1, field_len, x))
        goto err;
    if (BN_ucmp(x, &group->field) >= 0) {
        ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
        goto err;
    }

    if (form == POINT_CONVERSION_COMPRESSED) {
        if (!EC_POINT_set_compressed_coordinates_GF2m
            (group, point, x, y_bit, ctx))
            goto err;
    } else {
        if (!BN_bin2bn(buf + 1 + field_len, field_len, y))
            goto err;
        if (BN_ucmp(y, &group->field) >= 0) {
            ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
            goto err;
        }
        if (form == POINT_CONVERSION_HYBRID) {
            if (!group->meth->field_div(group, yxi, y, x, ctx))
                goto err;
            if (y_bit != BN_is_odd(yxi)) {
                ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
                goto err;
            }
        }

        if (!EC_POINT_set_affine_coordinates_GF2m(group, point, x, y, ctx))
            goto err;
    }

    /* test required by X9.62 */
    if (EC_POINT_is_on_curve(group, point, ctx) <= 0) {
        ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_POINT_IS_NOT_ON_CURVE);
        goto err;
    }

    ret = 1;

 err:
    BN_CTX_end(ctx);
    if (new_ctx != NULL)
        BN_CTX_free(new_ctx);
    return ret;
}
Пример #9
0
int ec_key_simple_check_key(const EC_KEY *eckey)
{
    int ok = 0;
    BN_CTX *ctx = NULL;
    const BIGNUM *order = NULL;
    EC_POINT *point = NULL;

    if (eckey == NULL || eckey->group == NULL || eckey->pub_key == NULL) {
        ECerr(EC_F_EC_KEY_SIMPLE_CHECK_KEY, ERR_R_PASSED_NULL_PARAMETER);
        return 0;
    }

    if (EC_POINT_is_at_infinity(eckey->group, eckey->pub_key)) {
        ECerr(EC_F_EC_KEY_SIMPLE_CHECK_KEY, EC_R_POINT_AT_INFINITY);
        goto err;
    }

    if ((ctx = BN_CTX_new()) == NULL)
        goto err;
    if ((point = EC_POINT_new(eckey->group)) == NULL)
        goto err;

    /* testing whether the pub_key is on the elliptic curve */
    if (EC_POINT_is_on_curve(eckey->group, eckey->pub_key, ctx) <= 0) {
        ECerr(EC_F_EC_KEY_SIMPLE_CHECK_KEY, EC_R_POINT_IS_NOT_ON_CURVE);
        goto err;
    }
    /* testing whether pub_key * order is the point at infinity */
    order = eckey->group->order;
    if (BN_is_zero(order)) {
        ECerr(EC_F_EC_KEY_SIMPLE_CHECK_KEY, EC_R_INVALID_GROUP_ORDER);
        goto err;
    }
    if (!EC_POINT_mul(eckey->group, point, NULL, eckey->pub_key, order, ctx)) {
        ECerr(EC_F_EC_KEY_SIMPLE_CHECK_KEY, ERR_R_EC_LIB);
        goto err;
    }
    if (!EC_POINT_is_at_infinity(eckey->group, point)) {
        ECerr(EC_F_EC_KEY_SIMPLE_CHECK_KEY, EC_R_WRONG_ORDER);
        goto err;
    }
    /*
     * in case the priv_key is present : check if generator * priv_key ==
     * pub_key
     */
    if (eckey->priv_key != NULL) {
        if (BN_cmp(eckey->priv_key, order) >= 0) {
            ECerr(EC_F_EC_KEY_SIMPLE_CHECK_KEY, EC_R_WRONG_ORDER);
            goto err;
        }
        if (!EC_POINT_mul(eckey->group, point, eckey->priv_key,
                          NULL, NULL, ctx)) {
            ECerr(EC_F_EC_KEY_SIMPLE_CHECK_KEY, ERR_R_EC_LIB);
            goto err;
        }
        if (EC_POINT_cmp(eckey->group, point, eckey->pub_key, ctx) != 0) {
            ECerr(EC_F_EC_KEY_SIMPLE_CHECK_KEY, EC_R_INVALID_PRIVATE_KEY);
            goto err;
        }
    }
    ok = 1;
 err:
    BN_CTX_free(ctx);
    EC_POINT_free(point);
    return ok;
}
Пример #10
0
int PKI_X509_KEYPAIR_get_curve ( PKI_X509_KEYPAIR *kp )
{
#ifdef ENABLE_ECDSA
	PKI_X509_KEYPAIR_VALUE *pVal = NULL;
	const EC_GROUP *gr;
	EC_GROUP *gr2;
	EC_KEY *ec = NULL;
	EC_POINT *point = NULL;
	BN_CTX *ctx = NULL;
	int ret = PKI_ID_UNKNOWN;

	EC_builtin_curve *curves = NULL;
	size_t num_curves = 0;
	int i;

	BIGNUM *order;

	unsigned long long keyBits = 0;
	unsigned long long curveBits = 0;

	pVal = kp->value;
	if (!pVal ) return PKI_ID_UNKNOWN;

	ctx = BN_CTX_new();

	switch (EVP_PKEY_type(pVal->type))
	{
		case EVP_PKEY_EC:
			ec = pVal->pkey.ec;
			break;

		default:
			return PKI_ID_UNKNOWN;
			break;
	};

	if (!ec) {
		return PKI_ID_UNKNOWN;
	};

	if((gr = EC_KEY_get0_group(ec)) == NULL) {
		return PKI_ID_UNKNOWN;
	};

	order = BN_new();
	if (EC_GROUP_get_order(gr, order, NULL)) {
		keyBits = (unsigned long long) BN_num_bits(order);
	}
	BN_free( order );
	order = NULL;

	if((point = EC_POINT_new( gr )) == NULL ) {
		PKI_log_err("Can not generate a new point in Key's Group");
		return PKI_ID_UNKNOWN;
	};

	/* Get the number of availabe ECDSA curves in OpenSSL */
	if ((num_curves = EC_get_builtin_curves(NULL, 0)) < 1 ) {
		/* No curves available! */
		return PKI_ID_UNKNOWN;
	}

	/* Alloc the needed memory */
	curves = OPENSSL_malloc(sizeof(EC_builtin_curve) * (int) num_curves);

	if (curves == NULL) {
		return PKI_ID_UNKNOWN;
	};

	/* Get the builtin curves */
	if (!EC_get_builtin_curves(curves, num_curves)) {
		if( curves ) free (curves);
		return PKI_ID_UNKNOWN;
	}

	order = BN_new();

	/* Cycle through the curves and display the names */
	for( i = 0; i < num_curves; i++ ) {
		int nid;

		nid = curves[i].nid;

		if(( gr2 = EC_GROUP_new_by_curve_name( nid )) == NULL) {
			PKI_log_err("Can not get default curve [%d]", i);
			break;
		};

		if (EC_GROUP_get_order(gr2, order, NULL)) {
			curveBits = (unsigned long long) BN_num_bits(order);
		};

		if ( curveBits == keyBits ) {
			if( EC_POINT_is_on_curve( gr2, point, ctx ) ) {
				ret = nid;
				break;
			};
		};

		if( gr2 ) EC_GROUP_free ( gr2 );
	};

	if ( order ) BN_free ( order );

	if( curves ) free ( curves );

	BN_CTX_free ( ctx );

	return ret;
#else
	return PKI_ID_UNKNOWN;
#endif
};
Пример #11
0
void prime_field_tests()
	{	
	BN_CTX *ctx = NULL;
	BIGNUM *p, *a, *b;
	EC_GROUP *group;
	EC_GROUP *P_160 = NULL, *P_192 = NULL, *P_224 = NULL, *P_256 = NULL, *P_384 = NULL, *P_521 = NULL;
	EC_POINT *P, *Q, *R;
	BIGNUM *x, *y, *z;
	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, "17")) ABORT;
	if (!BN_hex2bn(&a, "1")) ABORT;
	if (!BN_hex2bn(&b, "1")) ABORT;
	
	group = EC_GROUP_new(EC_GFp_mont_method()); /* applications should use EC_GROUP_new_curve_GFp
	                                             * so that the library gets to choose the EC_METHOD */
	if (!group) ABORT;

	if (!EC_GROUP_set_curve_GFp(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_GFp(group, p, a, b, ctx)) ABORT;

	fprintf(stdout, "Curve defined by Weierstrass equation\n     y^2 = x^3 + a*x + 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");

	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();
	if (!x || !y || !z) ABORT;

	if (!BN_hex2bn(&x, "D")) ABORT;
	if (!EC_POINT_set_compressed_coordinates_GFp(group, Q, x, 1, ctx)) ABORT;
	if (!EC_POINT_is_on_curve(group, Q, ctx))
		{
		if (!EC_POINT_get_affine_coordinates_GFp(group, Q, x, y, ctx)) ABORT;
		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_GFp(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;

#if 0 /* optional */
		{
			EC_POINT *points[3];
		
			points[0] = R;
			points[1] = Q;
			points[2] = P;
			if (!EC_POINTs_make_affine(group, 2, points, ctx)) ABORT;
		}
#endif

		}
	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;

	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 octect string, compressed form:\n     ");
	for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
	
	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 octect string, uncompressed form:\n     ");
	for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
	
	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 octect string, hybrid form:\n     ");
	for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
	
	if (!EC_POINT_get_Jprojective_coordinates_GFp(group, R, x, y, z, ctx)) ABORT;
	fprintf(stdout, "\nA representation of the inverse of that generator in\nJacobian projective coordinates:\n     X = 0x");
	BN_print_fp(stdout, x);
	fprintf(stdout, ", Y = 0x");
	BN_print_fp(stdout, y);
	fprintf(stdout, ", Z = 0x");
	BN_print_fp(stdout, z);
	fprintf(stdout, "\n");

	if (!EC_POINT_invert(group, P, ctx)) ABORT;
	if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;


	/* Curve secp160r1 (Certicom Research SEC 2 Version 1.0, section 2.4.2, 2000)
	 * -- not a NIST curve, but commonly used */
	
	if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF")) ABORT;
	if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
	if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC")) ABORT;
	if (!BN_hex2bn(&b, "1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45")) ABORT;
	if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;

	if (!BN_hex2bn(&x, "4A96B5688EF573284664698968C38BB913CBFC82")) ABORT;
	if (!BN_hex2bn(&y, "23a628553168947d59dcc912042351377ac5fb32")) ABORT;
	if (!EC_POINT_set_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
	if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
	if (!BN_hex2bn(&z, "0100000000000000000001F4C8F927AED3CA752257")) ABORT;
	if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;

	if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
	fprintf(stdout, "\nSEC2 curve secp160r1 -- Generator:\n     x = 0x");
	BN_print_fp(stdout, x);
	fprintf(stdout, "\n     y = 0x");
	BN_print_fp(stdout, y);
	fprintf(stdout, "\n");
	/* G_y value taken from the standard: */
	if (!BN_hex2bn(&z, "23a628553168947d59dcc912042351377ac5fb32")) ABORT;
	if (0 != BN_cmp(y, z)) ABORT;

	fprintf(stdout, "verify degree ...");
	if (EC_GROUP_get_degree(group) != 160) ABORT;
	fprintf(stdout, " ok\n");
	
	fprintf(stdout, "verify group order ...");
	fflush(stdout);
	if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
	if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
	if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
	fprintf(stdout, ".");
	fflush(stdout);
	if (!EC_GROUP_precompute_mult(group, ctx)) ABORT;
	if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
	if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
	fprintf(stdout, " ok\n");

	if (!(P_160 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
	if (!EC_GROUP_copy(P_160, group)) ABORT;


	/* Curve P-192 (FIPS PUB 186-2, App. 6) */
	
	if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF")) ABORT;
	if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
	if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC")) ABORT;
	if (!BN_hex2bn(&b, "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1")) ABORT;
	if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;

	if (!BN_hex2bn(&x, "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012")) ABORT;
	if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT;
	if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
	if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831")) ABORT;
	if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;

	if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
	fprintf(stdout, "\nNIST curve P-192 -- Generator:\n     x = 0x");
	BN_print_fp(stdout, x);
	fprintf(stdout, "\n     y = 0x");
	BN_print_fp(stdout, y);
	fprintf(stdout, "\n");
	/* G_y value taken from the standard: */
	if (!BN_hex2bn(&z, "07192B95FFC8DA78631011ED6B24CDD573F977A11E794811")) ABORT;
	if (0 != BN_cmp(y, z)) ABORT;

	fprintf(stdout, "verify degree ...");
	if (EC_GROUP_get_degree(group) != 192) ABORT;
	fprintf(stdout, " ok\n");
	
	fprintf(stdout, "verify group order ...");
	fflush(stdout);
	if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
	if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
	if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
	fprintf(stdout, ".");
	fflush(stdout);
#if 0
	if (!EC_GROUP_precompute_mult(group, ctx)) ABORT;
#endif
	if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
	if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
	fprintf(stdout, " ok\n");

	if (!(P_192 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
	if (!EC_GROUP_copy(P_192, group)) ABORT;


	/* Curve P-224 (FIPS PUB 186-2, App. 6) */
	
	if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001")) ABORT;
	if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
	if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE")) ABORT;
	if (!BN_hex2bn(&b, "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4")) ABORT;
	if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;

	if (!BN_hex2bn(&x, "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21")) ABORT;
	if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) ABORT;
	if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
	if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D")) ABORT;
	if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;

	if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
	fprintf(stdout, "\nNIST curve P-224 -- Generator:\n     x = 0x");
	BN_print_fp(stdout, x);
	fprintf(stdout, "\n     y = 0x");
	BN_print_fp(stdout, y);
	fprintf(stdout, "\n");
	/* G_y value taken from the standard: */
	if (!BN_hex2bn(&z, "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34")) ABORT;
	if (0 != BN_cmp(y, z)) ABORT;
	
	fprintf(stdout, "verify degree ...");
	if (EC_GROUP_get_degree(group) != 224) ABORT;
	fprintf(stdout, " ok\n");
	
	fprintf(stdout, "verify group order ...");
	fflush(stdout);
	if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
	if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
	if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
	fprintf(stdout, ".");
	fflush(stdout);
#if 0
	if (!EC_GROUP_precompute_mult(group, ctx)) ABORT;
#endif
	if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
	if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
	fprintf(stdout, " ok\n");

	if (!(P_224 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
	if (!EC_GROUP_copy(P_224, group)) ABORT;


	/* Curve P-256 (FIPS PUB 186-2, App. 6) */
	
	if (!BN_hex2bn(&p, "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF")) ABORT;
	if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
	if (!BN_hex2bn(&a, "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC")) ABORT;
	if (!BN_hex2bn(&b, "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B")) ABORT;
	if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;

	if (!BN_hex2bn(&x, "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296")) ABORT;
	if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT;
	if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
	if (!BN_hex2bn(&z, "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E"
		"84F3B9CAC2FC632551")) ABORT;
	if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;

	if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
	fprintf(stdout, "\nNIST curve P-256 -- Generator:\n     x = 0x");
	BN_print_fp(stdout, x);
	fprintf(stdout, "\n     y = 0x");
	BN_print_fp(stdout, y);
	fprintf(stdout, "\n");
	/* G_y value taken from the standard: */
	if (!BN_hex2bn(&z, "4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5")) ABORT;
	if (0 != BN_cmp(y, z)) ABORT;
	
	fprintf(stdout, "verify degree ...");
	if (EC_GROUP_get_degree(group) != 256) ABORT;
	fprintf(stdout, " ok\n");
	
	fprintf(stdout, "verify group order ...");
	fflush(stdout);
	if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
	if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
	if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
	fprintf(stdout, ".");
	fflush(stdout);
#if 0
	if (!EC_GROUP_precompute_mult(group, ctx)) ABORT;
#endif
	if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
	if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
	fprintf(stdout, " ok\n");

	if (!(P_256 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
	if (!EC_GROUP_copy(P_256, group)) ABORT;


	/* Curve P-384 (FIPS PUB 186-2, App. 6) */
	
	if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
		"FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF")) ABORT;
	if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
	if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
		"FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC")) ABORT;
	if (!BN_hex2bn(&b, "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141"
		"120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF")) ABORT;
	if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;

	if (!BN_hex2bn(&x, "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B"
		"9859F741E082542A385502F25DBF55296C3A545E3872760AB7")) ABORT;
	if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT;
	if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
	if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
		"FFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973")) ABORT;
	if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;

	if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
	fprintf(stdout, "\nNIST curve P-384 -- Generator:\n     x = 0x");
	BN_print_fp(stdout, x);
	fprintf(stdout, "\n     y = 0x");
	BN_print_fp(stdout, y);
	fprintf(stdout, "\n");
	/* G_y value taken from the standard: */
	if (!BN_hex2bn(&z, "3617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A14"
		"7CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F")) ABORT;
	if (0 != BN_cmp(y, z)) ABORT;
	
	fprintf(stdout, "verify degree ...");
	if (EC_GROUP_get_degree(group) != 384) ABORT;
	fprintf(stdout, " ok\n");
	
	fprintf(stdout, "verify group order ...");
	fflush(stdout);
	if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
	if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
	if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
	fprintf(stdout, ".");
	fflush(stdout);
#if 0
	if (!EC_GROUP_precompute_mult(group, ctx)) ABORT;
#endif
	if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
	if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
	fprintf(stdout, " ok\n");

	if (!(P_384 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
	if (!EC_GROUP_copy(P_384, group)) ABORT;


	/* Curve P-521 (FIPS PUB 186-2, App. 6) */
	
	if (!BN_hex2bn(&p, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
		"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
		"FFFFFFFFFFFFFFFFFFFFFFFFFFFF")) ABORT;
	if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
	if (!BN_hex2bn(&a, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
		"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
		"FFFFFFFFFFFFFFFFFFFFFFFFFFFC")) ABORT;
	if (!BN_hex2bn(&b, "051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B"
		"315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573"
		"DF883D2C34F1EF451FD46B503F00")) ABORT;
	if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;

	if (!BN_hex2bn(&x, "C6858E06B70404E9CD9E3ECB662395B4429C648139053F"
		"B521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B"
		"3C1856A429BF97E7E31C2E5BD66")) ABORT;
	if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) ABORT;
	if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
	if (!BN_hex2bn(&z, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
		"FFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5"
		"C9B8899C47AEBB6FB71E91386409")) ABORT;
	if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;

	if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
	fprintf(stdout, "\nNIST curve P-521 -- Generator:\n     x = 0x");
	BN_print_fp(stdout, x);
	fprintf(stdout, "\n     y = 0x");
	BN_print_fp(stdout, y);
	fprintf(stdout, "\n");
	/* G_y value taken from the standard: */
	if (!BN_hex2bn(&z, "11839296A789A3BC0045C8A5FB42C7D1BD998F54449579"
		"B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C"
		"7086A272C24088BE94769FD16650")) ABORT;
	if (0 != BN_cmp(y, z)) ABORT;
	
	fprintf(stdout, "verify degree ...");
	if (EC_GROUP_get_degree(group) != 521) ABORT;
	fprintf(stdout, " ok\n");
	
	fprintf(stdout, "verify group order ...");
	fflush(stdout);
	if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
	if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
	if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
	fprintf(stdout, ".");
	fflush(stdout);
#if 0
	if (!EC_GROUP_precompute_mult(group, ctx)) ABORT;
#endif
	if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
	if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
	fprintf(stdout, " ok\n");

	if (!(P_521 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
	if (!EC_GROUP_copy(P_521, group)) ABORT;


	/* 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(P_160, TIMING_BASE_PT, ctx);
	timings(P_160, TIMING_RAND_PT, ctx);
	timings(P_160, TIMING_SIMUL, ctx);
	timings(P_192, TIMING_BASE_PT, ctx);
	timings(P_192, TIMING_RAND_PT, ctx);
	timings(P_192, TIMING_SIMUL, ctx);
	timings(P_224, TIMING_BASE_PT, ctx);
	timings(P_224, TIMING_RAND_PT, ctx);
	timings(P_224, TIMING_SIMUL, ctx);
	timings(P_256, TIMING_BASE_PT, ctx);
	timings(P_256, TIMING_RAND_PT, ctx);
	timings(P_256, TIMING_SIMUL, ctx);
	timings(P_384, TIMING_BASE_PT, ctx);
	timings(P_384, TIMING_RAND_PT, ctx);
	timings(P_384, TIMING_SIMUL, ctx);
	timings(P_521, TIMING_BASE_PT, ctx);
	timings(P_521, TIMING_RAND_PT, ctx);
	timings(P_521, 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);

	if (P_160) EC_GROUP_free(P_160);
	if (P_192) EC_GROUP_free(P_192);
	if (P_224) EC_GROUP_free(P_224);
	if (P_256) EC_GROUP_free(P_256);
	if (P_384) EC_GROUP_free(P_384);
	if (P_521) EC_GROUP_free(P_521);

	}
/*
 * compute a "random" secret point on an elliptic curve based
 * on the password and identities.
 */
int compute_password_element(EAP_PWD_group *grp, u16 num,
			     u8 *password, int password_len,
			     u8 *id_server, int id_server_len,
			     u8 *id_peer, int id_peer_len, u8 *token)
{
	BIGNUM *x_candidate = NULL, *rnd = NULL, *cofactor = NULL;
	struct crypto_hash *hash;
	unsigned char pwe_digest[SHA256_MAC_LEN], *prfbuf = NULL, ctr;
	int nid, is_odd, ret = 0;
	size_t primebytelen, primebitlen;

	switch (num) { /* from IANA registry for IKE D-H groups */
        case 19:
		nid = NID_X9_62_prime256v1;
		break;
        case 20:
		nid = NID_secp384r1;
		break;
        case 21:
		nid = NID_secp521r1;
		break;
        case 25:
		nid = NID_X9_62_prime192v1;
		break;
        case 26:
		nid = NID_secp224r1;
		break;
        default:
		wpa_printf(MSG_INFO, "EAP-pwd: unsupported group %d", num);
		return -1;
	}

	grp->pwe = NULL;
	grp->order = NULL;
	grp->prime = NULL;

	if ((grp->group = EC_GROUP_new_by_curve_name(nid)) == NULL) {
		wpa_printf(MSG_INFO, "EAP-pwd: unable to create EC_GROUP");
		goto fail;
	}

	if (((rnd = BN_new()) == NULL) ||
	    ((cofactor = BN_new()) == NULL) ||
	    ((grp->pwe = EC_POINT_new(grp->group)) == NULL) ||
	    ((grp->order = BN_new()) == NULL) ||
	    ((grp->prime = BN_new()) == NULL) ||
	    ((x_candidate = BN_new()) == NULL)) {
		wpa_printf(MSG_INFO, "EAP-pwd: unable to create bignums");
		goto fail;
	}

	if (!EC_GROUP_get_curve_GFp(grp->group, grp->prime, NULL, NULL, NULL))
	{
		wpa_printf(MSG_INFO, "EAP-pwd: unable to get prime for GFp "
			   "curve");
		goto fail;
	}
	if (!EC_GROUP_get_order(grp->group, grp->order, NULL)) {
		wpa_printf(MSG_INFO, "EAP-pwd: unable to get order for curve");
		goto fail;
	}
	if (!EC_GROUP_get_cofactor(grp->group, cofactor, NULL)) {
		wpa_printf(MSG_INFO, "EAP-pwd: unable to get cofactor for "
			   "curve");
		goto fail;
	}
	primebitlen = BN_num_bits(grp->prime);
	primebytelen = BN_num_bytes(grp->prime);
	if ((prfbuf = os_malloc(primebytelen)) == NULL) {
		wpa_printf(MSG_INFO, "EAP-pwd: unable to malloc space for prf "
			   "buffer");
		goto fail;
	}
	os_memset(prfbuf, 0, primebytelen);
	ctr = 0;
	while (1) {
		if (ctr > 30) {
			wpa_printf(MSG_INFO, "EAP-pwd: unable to find random "
				   "point on curve for group %d, something's "
				   "fishy", num);
			goto fail;
		}
		ctr++;

		/*
		 * compute counter-mode password value and stretch to prime
		 *    pwd-seed = H(token | peer-id | server-id | password |
		 *		   counter)
		 */
		hash = eap_pwd_h_init();
		if (hash == NULL)
			goto fail;
		eap_pwd_h_update(hash, token, sizeof(u32));
		eap_pwd_h_update(hash, id_peer, id_peer_len);
		eap_pwd_h_update(hash, id_server, id_server_len);
		eap_pwd_h_update(hash, password, password_len);
		eap_pwd_h_update(hash, &ctr, sizeof(ctr));
		eap_pwd_h_final(hash, pwe_digest);

		BN_bin2bn(pwe_digest, SHA256_MAC_LEN, rnd);

		if (eap_pwd_kdf(pwe_digest, SHA256_MAC_LEN,
				(u8 *) "EAP-pwd Hunting And Pecking",
				os_strlen("EAP-pwd Hunting And Pecking"),
				prfbuf, primebitlen) < 0)
			goto fail;

		BN_bin2bn(prfbuf, primebytelen, x_candidate);

		/*
		 * eap_pwd_kdf() returns a string of bits 0..primebitlen but
		 * BN_bin2bn will treat that string of bits as a big endian
		 * number. If the primebitlen is not an even multiple of 8
		 * then excessive bits-- those _after_ primebitlen-- so now
		 * we have to shift right the amount we masked off.
		 */
		if (primebitlen % 8)
			BN_rshift(x_candidate, x_candidate,
				  (8 - (primebitlen % 8)));

		if (BN_ucmp(x_candidate, grp->prime) >= 0)
			continue;

		wpa_hexdump(MSG_DEBUG, "EAP-pwd: x_candidate",
			    prfbuf, primebytelen);

		/*
		 * need to unambiguously identify the solution, if there is
		 * one...
		 */
		if (BN_is_odd(rnd))
			is_odd = 1;
		else
			is_odd = 0;

		/*
		 * solve the quadratic equation, if it's not solvable then we
		 * don't have a point
		 */
		if (!EC_POINT_set_compressed_coordinates_GFp(grp->group,
							     grp->pwe,
							     x_candidate,
							     is_odd, NULL))
			continue;
		/*
		 * If there's a solution to the equation then the point must be
		 * on the curve so why check again explicitly? OpenSSL code
		 * says this is required by X9.62. We're not X9.62 but it can't
		 * hurt just to be sure.
		 */
		if (!EC_POINT_is_on_curve(grp->group, grp->pwe, NULL)) {
			wpa_printf(MSG_INFO, "EAP-pwd: point is not on curve");
			continue;
		}

		if (BN_cmp(cofactor, BN_value_one())) {
			/* make sure the point is not in a small sub-group */
			if (!EC_POINT_mul(grp->group, grp->pwe, NULL, grp->pwe,
					  cofactor, NULL)) {
				wpa_printf(MSG_INFO, "EAP-pwd: cannot "
					   "multiply generator by order");
				continue;
			}
			if (EC_POINT_is_at_infinity(grp->group, grp->pwe)) {
				wpa_printf(MSG_INFO, "EAP-pwd: point is at "
					   "infinity");
				continue;
			}
		}
		/* if we got here then we have a new generator. */
		break;
	}
	wpa_printf(MSG_DEBUG, "EAP-pwd: found a PWE in %d tries", ctr);
	grp->group_num = num;
	if (0) {
 fail:
		EC_GROUP_free(grp->group);
		grp->group = NULL;
		EC_POINT_free(grp->pwe);
		grp->pwe = NULL;
		BN_free(grp->order);
		grp->order = NULL;
		BN_free(grp->prime);
		grp->prime = NULL;
		ret = 1;
	}
	/* cleanliness and order.... */
	BN_free(cofactor);
	BN_free(x_candidate);
	BN_free(rnd);
	os_free(prfbuf);

	return ret;
}
Пример #13
0
int process_peer_commit(REQUEST *request, pwd_session_t *session, uint8_t *in, size_t in_len, BN_CTX *bn_ctx)
{
	uint8_t		*ptr;
	size_t		data_len;
	BIGNUM		*x = NULL, *y = NULL, *cofactor = NULL;
	EC_POINT	*K = NULL, *point = NULL;
	int		ret = 1;

	MEM(session->peer_scalar = BN_new());
	MEM(session->k = BN_new());
	MEM(session->peer_element = EC_POINT_new(session->group));
	MEM(point = EC_POINT_new(session->group));
	MEM(K = EC_POINT_new(session->group));

	MEM(cofactor = BN_new());
	MEM(x = BN_new());
	MEM(y = BN_new());

	if (!EC_GROUP_get_cofactor(session->group, cofactor, NULL)) {
		REDEBUG("Unable to get group co-factor");
		goto finish;
	}

	/* element, x then y, followed by scalar */
	ptr = (uint8_t *)in;
	data_len = BN_num_bytes(session->prime);

	/*
	 *	Did the peer send enough data?
	 */
	if (in_len < (2 * data_len + BN_num_bytes(session->order))) {
		REDEBUG("Invalid commit packet");
		goto finish;
	}

	BN_bin2bn(ptr, data_len, x);
	ptr += data_len;
	BN_bin2bn(ptr, data_len, y);
	ptr += data_len;

	data_len = BN_num_bytes(session->order);
	BN_bin2bn(ptr, data_len, session->peer_scalar);

	/* validate received scalar */
	if (BN_is_zero(session->peer_scalar) ||
	    BN_is_one(session->peer_scalar) ||
	    BN_cmp(session->peer_scalar, session->order) >= 0) {
		REDEBUG("Peer's scalar is not within the allowed range");
		goto finish;
	}

	if (!EC_POINT_set_affine_coordinates_GFp(session->group, session->peer_element, x, y, bn_ctx)) {
		REDEBUG("Unable to get coordinates of peer's element");
		goto finish;
	}

	/* validate received element */
	if (!EC_POINT_is_on_curve(session->group, session->peer_element, bn_ctx) ||
	    EC_POINT_is_at_infinity(session->group, session->peer_element)) {
		REDEBUG("Peer's element is not a point on the elliptic curve");
		goto finish;
	}

	/* check to ensure peer's element is not in a small sub-group */
	if (BN_cmp(cofactor, BN_value_one())) {
		if (!EC_POINT_mul(session->group, point, NULL, session->peer_element, cofactor, NULL)) {
			REDEBUG("Unable to multiply element by co-factor");
			goto finish;
		}

		if (EC_POINT_is_at_infinity(session->group, point)) {
			REDEBUG("Peer's element is in small sub-group");
			goto finish;
		}
	}

	/* detect reflection attacks */
	if (BN_cmp(session->peer_scalar, session->my_scalar) == 0 ||
	    EC_POINT_cmp(session->group, session->peer_element, session->my_element, bn_ctx) == 0) {
		REDEBUG("Reflection attack detected");
		goto finish;
	}

	/* compute the shared key, k */
	if ((!EC_POINT_mul(session->group, K, NULL, session->pwe, session->peer_scalar, bn_ctx)) ||
	    (!EC_POINT_add(session->group, K, K, session->peer_element, bn_ctx)) ||
	    (!EC_POINT_mul(session->group, K, NULL, K, session->private_value, bn_ctx))) {
		REDEBUG("Unable to compute shared key, k");
		goto finish;
	}

	/* ensure that the shared key isn't in a small sub-group */
	if (BN_cmp(cofactor, BN_value_one())) {
		if (!EC_POINT_mul(session->group, K, NULL, K, cofactor, NULL)) {
			REDEBUG("Unable to multiply k by co-factor");
			goto finish;
		}
	}

	/*
	 * This check is strictly speaking just for the case above where
	 * co-factor > 1 but it was suggested that even though this is probably
	 * never going to happen it is a simple and safe check "just to be
	 * sure" so let's be safe.
	 */
	if (EC_POINT_is_at_infinity(session->group, K)) {
		REDEBUG("K is point-at-infinity");
		goto finish;
	}

	if (!EC_POINT_get_affine_coordinates_GFp(session->group, K, session->k, NULL, bn_ctx)) {
		REDEBUG("Unable to get shared secret from K");
		goto finish;
	}
	ret = 0;

finish:
	EC_POINT_clear_free(K);
	EC_POINT_clear_free(point);
	BN_clear_free(cofactor);
	BN_clear_free(x);
	BN_clear_free(y);

	return ret;
}
Пример #14
0
int GOST_KEY_check_key(const GOST_KEY *key)
{
    int ok = 0;
    BN_CTX *ctx = NULL;
    BIGNUM *order = NULL;
    EC_POINT *point = NULL;

    if (!key || !key->group || !key->pub_key) {
        GOSTerr(GOST_F_GOST_KEY_CHECK_KEY, ERR_R_PASSED_NULL_PARAMETER);
        return 0;
    }
    if (EC_POINT_is_at_infinity(key->group, key->pub_key)) {
        GOSTerr(GOST_F_GOST_KEY_CHECK_KEY, EC_R_POINT_AT_INFINITY);
        goto err;
    }
    if ((ctx = BN_CTX_new()) == NULL)
        goto err;
    if ((point = EC_POINT_new(key->group)) == NULL)
        goto err;

    /* testing whether the pub_key is on the elliptic curve */
    if (EC_POINT_is_on_curve(key->group, key->pub_key, ctx) <= 0) {
        GOSTerr(GOST_F_GOST_KEY_CHECK_KEY, EC_R_POINT_IS_NOT_ON_CURVE);
        goto err;
    }
    /* testing whether pub_key * order is the point at infinity */
    if ((order = BN_new()) == NULL)
        goto err;
    if (!EC_GROUP_get_order(key->group, order, ctx)) {
        GOSTerr(GOST_F_GOST_KEY_CHECK_KEY, EC_R_INVALID_GROUP_ORDER);
        goto err;
    }
    if (!EC_POINT_mul(key->group, point, NULL, key->pub_key, order, ctx)) {
        GOSTerr(GOST_F_GOST_KEY_CHECK_KEY, ERR_R_EC_LIB);
        goto err;
    }
    if (!EC_POINT_is_at_infinity(key->group, point)) {
        GOSTerr(GOST_F_GOST_KEY_CHECK_KEY, EC_R_WRONG_ORDER);
        goto err;
    }
    /*
     * in case the priv_key is present : check if generator * priv_key ==
     * pub_key
     */
    if (key->priv_key) {
        if (BN_cmp(key->priv_key, order) >= 0) {
            GOSTerr(GOST_F_GOST_KEY_CHECK_KEY, EC_R_WRONG_ORDER);
            goto err;
        }
        if (!EC_POINT_mul(key->group, point, key->priv_key, NULL, NULL, ctx)) {
            GOSTerr(GOST_F_GOST_KEY_CHECK_KEY, ERR_R_EC_LIB);
            goto err;
        }
        if (EC_POINT_cmp(key->group, point, key->pub_key, ctx) != 0) {
            GOSTerr(GOST_F_GOST_KEY_CHECK_KEY, EC_R_INVALID_PRIVATE_KEY);
            goto err;
        }
    }
    ok = 1;
err:
    BN_free(order);
    BN_CTX_free(ctx);
    EC_POINT_free(point);
    return (ok);
}
Пример #15
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);

	}
Пример #16
0
int EC_KEY_check_key(const EC_KEY *eckey)
	{
	int	ok   = 0;
	BN_CTX	*ctx = NULL;
	BIGNUM	*order  = NULL;
	EC_POINT *point = NULL;

	if (!eckey || !eckey->group || !eckey->pub_key)
		{
		ECerr(EC_F_EC_KEY_CHECK_KEY, ERR_R_PASSED_NULL_PARAMETER);
		return 0;
		}
	
	if ((ctx = BN_CTX_new()) == NULL)
		goto err;
	if ((order = BN_new()) == NULL)
		goto err;
	if ((point = EC_POINT_new(eckey->group)) == NULL)
		goto err;

	/* testing whether the pub_key is on the elliptic curve */
	if (!EC_POINT_is_on_curve(eckey->group, eckey->pub_key, ctx))
		{
		ECerr(EC_F_EC_KEY_CHECK_KEY, EC_R_POINT_IS_NOT_ON_CURVE);
		goto err;
		}
	/* testing whether pub_key * order is the point at infinity */
	if (!EC_GROUP_get_order(eckey->group, order, ctx))
		{
		ECerr(EC_F_EC_KEY_CHECK_KEY, EC_R_INVALID_GROUP_ORDER);
		goto err;
		}
	if (!EC_POINT_copy(point, eckey->pub_key))
		{
		ECerr(EC_F_EC_KEY_CHECK_KEY, ERR_R_EC_LIB);
		goto err;
		}
	if (!EC_POINT_mul(eckey->group, point, order, NULL, NULL, ctx))
		{
		ECerr(EC_F_EC_KEY_CHECK_KEY, ERR_R_EC_LIB);
		goto err;
		}
	if (!EC_POINT_is_at_infinity(eckey->group, point))
		{
		ECerr(EC_F_EC_KEY_CHECK_KEY, EC_R_WRONG_ORDER);
		goto err;
		}
	/* in case the priv_key is present : 
	 * check if generator * priv_key == pub_key 
	 */
	if (eckey->priv_key)
		{
		if (BN_cmp(eckey->priv_key, order) >= 0)
			{
			ECerr(EC_F_EC_KEY_CHECK_KEY, EC_R_WRONG_ORDER);
			goto err;
			}
		if (!EC_POINT_mul(eckey->group, point, eckey->priv_key,
			NULL, NULL, ctx))
			{
			ECerr(EC_F_EC_KEY_CHECK_KEY, ERR_R_EC_LIB);
			goto err;
			}
		if (EC_POINT_cmp(eckey->group, point, eckey->pub_key, 
			ctx) != 0)
			{
			ECerr(EC_F_EC_KEY_CHECK_KEY, EC_R_INVALID_PRIVATE_KEY);
			goto err;
			}
		}
	ok = 1;
err:
	if (ctx   != NULL)
		BN_CTX_free(ctx);
	if (order != NULL)
		BN_free(order);
	if (point != NULL)
		EC_POINT_free(point);
	return(ok);
	}
Пример #17
0
static int ec_GFp_simple_oct2point(const EC_GROUP *group, EC_POINT *point,
                                   const uint8_t *buf, size_t len,
                                   BN_CTX *ctx) {
  point_conversion_form_t form;
  int y_bit;
  BN_CTX *new_ctx = NULL;
  BIGNUM *x, *y;
  size_t field_len, enc_len;
  int ret = 0;

  if (len == 0) {
    OPENSSL_PUT_ERROR(EC, ec_GFp_simple_oct2point, EC_R_BUFFER_TOO_SMALL);
    return 0;
  }
  form = buf[0];
  y_bit = form & 1;
  form = form & ~1U;
  if ((form != 0) && (form != POINT_CONVERSION_COMPRESSED) &&
      (form != POINT_CONVERSION_UNCOMPRESSED) &&
      (form != POINT_CONVERSION_HYBRID)) {
    OPENSSL_PUT_ERROR(EC, ec_GFp_simple_oct2point, EC_R_INVALID_ENCODING);
    return 0;
  }
  if ((form == 0 || form == POINT_CONVERSION_UNCOMPRESSED) && y_bit) {
    OPENSSL_PUT_ERROR(EC, ec_GFp_simple_oct2point, EC_R_INVALID_ENCODING);
    return 0;
  }

  if (form == 0) {
    if (len != 1) {
      OPENSSL_PUT_ERROR(EC, ec_GFp_simple_oct2point, EC_R_INVALID_ENCODING);
      return 0;
    }

    return EC_POINT_set_to_infinity(group, point);
  }

  field_len = BN_num_bytes(&group->field);
  enc_len =
      (form == POINT_CONVERSION_COMPRESSED) ? 1 + field_len : 1 + 2 * field_len;

  if (len != enc_len) {
    OPENSSL_PUT_ERROR(EC, ec_GFp_simple_oct2point, EC_R_INVALID_ENCODING);
    return 0;
  }

  if (ctx == NULL) {
    ctx = new_ctx = BN_CTX_new();
    if (ctx == NULL)
      return 0;
  }

  BN_CTX_start(ctx);
  x = BN_CTX_get(ctx);
  y = BN_CTX_get(ctx);
  if (y == NULL)
    goto err;

  if (!BN_bin2bn(buf + 1, field_len, x))
    goto err;
  if (BN_ucmp(x, &group->field) >= 0) {
    OPENSSL_PUT_ERROR(EC, ec_GFp_simple_oct2point, EC_R_INVALID_ENCODING);
    goto err;
  }

  if (form == POINT_CONVERSION_COMPRESSED) {
    if (!EC_POINT_set_compressed_coordinates_GFp(group, point, x, y_bit, ctx))
      goto err;
  } else {
    if (!BN_bin2bn(buf + 1 + field_len, field_len, y))
      goto err;
    if (BN_ucmp(y, &group->field) >= 0) {
      OPENSSL_PUT_ERROR(EC, ec_GFp_simple_oct2point, EC_R_INVALID_ENCODING);
      goto err;
    }
    if (form == POINT_CONVERSION_HYBRID) {
      if (y_bit != BN_is_odd(y)) {
        OPENSSL_PUT_ERROR(EC, ec_GFp_simple_oct2point, EC_R_INVALID_ENCODING);
        goto err;
      }
    }

    if (!EC_POINT_set_affine_coordinates_GFp(group, point, x, y, ctx))
      goto err;
  }

  if (!EC_POINT_is_on_curve(group, point, ctx)) /* test required by X9.62 */
  {
    OPENSSL_PUT_ERROR(EC, ec_GFp_simple_oct2point, EC_R_POINT_IS_NOT_ON_CURVE);
    goto err;
  }

  ret = 1;

err:
  BN_CTX_end(ctx);
  if (new_ctx != NULL)
    BN_CTX_free(new_ctx);
  return ret;
}
Пример #18
0
static void CheckPublicKey(X509 *x509, struct tm tm_after)
{
	EVP_PKEY *pkey = X509_get_pubkey(x509);
	if (pkey == NULL)
	{
		SetError(ERR_UNKNOWN_PUBLIC_KEY_TYPE);
	}
	else if (EVP_PKEY_base_id(pkey) == EVP_PKEY_RSA)
	{
		RSA *rsa = EVP_PKEY_get1_RSA(pkey);

		if (rsa == NULL)
		{
			SetError(ERR_INVALID);
			RSA_free(rsa);
			return;
		}

		const BIGNUM *n, *e;
		RSA_get0_key(rsa, &n, &e, NULL);
		if (n == NULL || e == NULL)
		{
			SetError(ERR_INVALID);
			RSA_free(rsa);
			return;
		}
		if (!GetBit(errors, ERR_INVALID_TIME_FORMAT))
		{
			if (tm_after.tm_year >= 114 && BN_num_bits(n) < 2048)
			{
				SetError(ERR_RSA_SIZE_2048);
			}
		}
		if (BN_is_odd(e) == 0)
		{
			SetError(ERR_RSA_EXP_NOT_ODD);
		}
		BIGNUM *i = BN_new();
		BN_set_word(i, 3);
		if (BN_cmp(e, i) < 0)
		{
			SetError(ERR_RSA_EXP_3);
		}
		else
		{
			BN_set_word(i, 0x10001);
			if (BN_cmp(e, i) < 0)
			{
				SetWarning(WARN_RSA_EXP_RANGE);
			}
			BN_hex2bn(&i, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF");
			if (BN_cmp(e, i) > 0)
			{
				SetWarning(WARN_RSA_EXP_RANGE);
			}
		}
		BN_CTX *ctx = BN_CTX_new();
		if (BN_gcd(i, n, bn_factors, ctx) == 0 || !BN_is_one(i))
		{
			SetError(ERR_RSA_SMALL_FACTOR);
		}
		BN_free(i);
		BN_CTX_free(ctx);
		RSA_free(rsa);
	}
	else if (EVP_PKEY_base_id(pkey) == EVP_PKEY_EC)
	{
		EC_KEY *ec_key = EVP_PKEY_get1_EC_KEY(pkey);
		const EC_GROUP *group = EC_KEY_get0_group(ec_key);
		const EC_POINT *point = EC_KEY_get0_public_key(ec_key);
		BN_CTX *ctx = BN_CTX_new();
		BIGNUM *order = BN_new();
		EC_GROUP_get_order(group, order, ctx);
		if (EC_POINT_is_at_infinity(group, point))
		{
			SetError(ERR_EC_AT_INFINITY);
		}
		if (EC_POINT_is_on_curve(group, point, ctx) != 1)
		{
			SetError(ERR_EC_POINT_NOT_ON_CURVE);
		}
		EC_POINT *result = EC_POINT_new(group);
		if (BN_is_zero(order))
		{
			SetError(ERR_EC_INVALID_GROUP_ORDER);
		}
		EC_POINT_mul(group, result, NULL, point, order, ctx);
		if (!EC_POINT_is_at_infinity(group, result))
		{
			SetError(ERR_EC_INCORRECT_ORDER);
		}
		int nid = EC_GROUP_get_curve_name(group);
		if (nid != NID_X9_62_prime256v1 && nid != NID_secp384r1 && nid != NID_secp521r1)
		{
			SetError(ERR_EC_NON_ALLOWED_CURVE);
		}
		EC_POINT_free(result);
		BN_free(order);
		BN_CTX_free(ctx);
		EC_KEY_free(ec_key);
	}
	else
	{
		SetError(ERR_UNKNOWN_PUBLIC_KEY_TYPE);
	}

	if (pkey != NULL)
	{
		EVP_PKEY_free(pkey);
	}
}