From 7eb18f1237f517d7072c6d5d4602b68c8e0a1a21 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Bodo=20M=C3=B6ller?= Date: Thu, 15 Aug 2002 09:21:31 +0000 Subject: Simplify handling of named curves: get rid of EC_GROUP_new_by_name(), EC_GROUP_new_by_nid() should be enough. This avoids a lot of redundancy. Submitted by: Nils Larsch --- crypto/ec/Makefile.ssl | 11 +- crypto/ec/ec.h | 234 ++---- crypto/ec/ec_asn1.c | 2 +- crypto/ec/ec_curve.c | 1849 +++++++++++++++++++++++++++------------------- crypto/ec/ec_err.c | 17 +- crypto/ecdh/ecdhtest.c | 32 +- crypto/ecdsa/ecdsatest.c | 36 +- 7 files changed, 1221 insertions(+), 960 deletions(-) (limited to 'crypto') diff --git a/crypto/ec/Makefile.ssl b/crypto/ec/Makefile.ssl index d183f679c4..431a14c8a6 100644 --- a/crypto/ec/Makefile.ssl +++ b/crypto/ec/Makefile.ssl @@ -118,12 +118,11 @@ ec_check.o: ../../include/openssl/obj_mac.h ../../include/openssl/opensslconf.h ec_check.o: ../../include/openssl/opensslv.h ../../include/openssl/ossl_typ.h ec_check.o: ../../include/openssl/safestack.h ../../include/openssl/stack.h ec_check.o: ../../include/openssl/symhacks.h ec_check.c ec_lcl.h -ec_curve.o: ../../include/openssl/asn1.h ../../include/openssl/asn1t.h -ec_curve.o: ../../include/openssl/bio.h ../../include/openssl/bn.h -ec_curve.o: ../../include/openssl/crypto.h ../../include/openssl/e_os2.h -ec_curve.o: ../../include/openssl/ec.h ../../include/openssl/err.h -ec_curve.o: ../../include/openssl/lhash.h ../../include/openssl/obj_mac.h -ec_curve.o: ../../include/openssl/opensslconf.h +ec_curve.o: ../../include/openssl/asn1.h ../../include/openssl/bio.h +ec_curve.o: ../../include/openssl/bn.h ../../include/openssl/crypto.h +ec_curve.o: ../../include/openssl/e_os2.h ../../include/openssl/ec.h +ec_curve.o: ../../include/openssl/err.h ../../include/openssl/lhash.h +ec_curve.o: ../../include/openssl/obj_mac.h ../../include/openssl/opensslconf.h ec_curve.o: ../../include/openssl/opensslv.h ../../include/openssl/ossl_typ.h ec_curve.o: ../../include/openssl/safestack.h ../../include/openssl/stack.h ec_curve.o: ../../include/openssl/symhacks.h ec_curve.c ec_lcl.h diff --git a/crypto/ec/ec.h b/crypto/ec/ec.h index 17083f23a2..4eb4ad678c 100644 --- a/crypto/ec/ec.h +++ b/crypto/ec/ec.h @@ -182,94 +182,15 @@ int EC_GROUP_check_discriminant(const EC_GROUP *, BN_CTX *); EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *); EC_GROUP *EC_GROUP_new_curve_GF2m(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *); -/* EC_GROUP_new_by_nid() and EC_GROUP_new_by_name() also set - * generator and order */ +/* EC_GROUP_new_by_nid() creates a EC_GROUP structure specified by a NID */ EC_GROUP *EC_GROUP_new_by_nid(int nid); -EC_GROUP *EC_GROUP_new_by_name(int name); -/* Currently valid arguments to EC_GROUP_new_by_name() */ -#define EC_GROUP_NO_CURVE 0 -#define EC_GROUP_NIST_PRIME_192 NID_X9_62_prime192v1 -#define EC_GROUP_NIST_PRIME_224 NID_secp224r1 -#define EC_GROUP_NIST_PRIME_256 NID_X9_62_prime256v1 -#define EC_GROUP_NIST_PRIME_384 NID_secp384r1 -#define EC_GROUP_NIST_PRIME_521 NID_secp521r1 -#define EC_GROUP_X9_62_PRIME_192V1 NID_X9_62_prime192v1 -#define EC_GROUP_X9_62_PRIME_192V2 NID_X9_62_prime192v2 -#define EC_GROUP_X9_62_PRIME_192V3 NID_X9_62_prime192v3 -#define EC_GROUP_X9_62_PRIME_239V1 NID_X9_62_prime239v1 -#define EC_GROUP_X9_62_PRIME_239V2 NID_X9_62_prime239v2 -#define EC_GROUP_X9_62_PRIME_239V3 NID_X9_62_prime239v3 -#define EC_GROUP_X9_62_PRIME_256V1 NID_X9_62_prime256v1 -#define EC_GROUP_SECG_PRIME_112R1 NID_secp112r1 -#define EC_GROUP_SECG_PRIME_112R2 NID_secp112r2 -#define EC_GROUP_SECG_PRIME_128R1 NID_secp128r1 -#define EC_GROUP_SECG_PRIME_128R2 NID_secp128r2 -#define EC_GROUP_SECG_PRIME_160K1 NID_secp160k1 -#define EC_GROUP_SECG_PRIME_160R1 NID_secp160r1 -#define EC_GROUP_SECG_PRIME_160R2 NID_secp160r2 -#define EC_GROUP_SECG_PRIME_192K1 NID_secp192k1 -#define EC_GROUP_SECG_PRIME_192R1 NID_X9_62_prime192v1 -#define EC_GROUP_SECG_PRIME_224K1 NID_secp224k1 -#define EC_GROUP_SECG_PRIME_224R1 NID_secp224r1 -#define EC_GROUP_SECG_PRIME_256K1 NID_secp256k1 -#define EC_GROUP_SECG_PRIME_256R1 NID_X9_62_prime256v1 -#define EC_GROUP_SECG_PRIME_384R1 NID_secp384r1 -#define EC_GROUP_SECG_PRIME_521R1 NID_secp521r1 -#define EC_GROUP_WTLS_6 NID_wap_wsg_idm_ecid_wtls6 -#define EC_GROUP_WTLS_7 NID_wap_wsg_idm_ecid_wtls7 -#define EC_GROUP_WTLS_8 NID_wap_wsg_idm_ecid_wtls8 -#define EC_GROUP_WTLS_9 NID_wap_wsg_idm_ecid_wtls9 -#define EC_GROUP_WTLS_12 NID_wap_wsg_idm_ecid_wtls12 -#define EC_GROUP_NIST_CHAR2_K163 NID_sect163k1 -#define EC_GROUP_NIST_CHAR2_B163 NID_sect163r2 -#define EC_GROUP_NIST_CHAR2_K233 NID_sect233k1 -#define EC_GROUP_NIST_CHAR2_B233 NID_sect233r1 -#define EC_GROUP_NIST_CHAR2_K283 NID_sect283k1 -#define EC_GROUP_NIST_CHAR2_B283 NID_sect283r1 -#define EC_GROUP_NIST_CHAR2_K409 NID_sect409k1 -#define EC_GROUP_NIST_CHAR2_B409 NID_sect409r1 -#define EC_GROUP_NIST_CHAR2_K571 NID_sect571k1 -#define EC_GROUP_NIST_CHAR2_B571 NID_sect571r1 -#define EC_GROUP_X9_62_CHAR2_163V1 NID_X9_62_c2pnb163v1 -#define EC_GROUP_X9_62_CHAR2_163V2 NID_X9_62_c2pnb163v2 -#define EC_GROUP_X9_62_CHAR2_163V3 NID_X9_62_c2pnb163v3 -#define EC_GROUP_X9_62_CHAR2_176V1 NID_X9_62_c2pnb176v1 -#define EC_GROUP_X9_62_CHAR2_191V1 NID_X9_62_c2tnb191v1 -#define EC_GROUP_X9_62_CHAR2_191V2 NID_X9_62_c2tnb191v2 -#define EC_GROUP_X9_62_CHAR2_191V3 NID_X9_62_c2tnb191v3 -#define EC_GROUP_X9_62_CHAR2_208W1 NID_X9_62_c2pnb208w1 -#define EC_GROUP_X9_62_CHAR2_239V1 NID_X9_62_c2tnb239v1 -#define EC_GROUP_X9_62_CHAR2_239V2 NID_X9_62_c2tnb239v2 -#define EC_GROUP_X9_62_CHAR2_239V3 NID_X9_62_c2tnb239v3 -#define EC_GROUP_X9_62_CHAR2_272W1 NID_X9_62_c2pnb272w1 -#define EC_GROUP_X9_62_CHAR2_304W1 NID_X9_62_c2pnb304w1 -#define EC_GROUP_X9_62_CHAR2_359V1 NID_X9_62_c2tnb359v1 -#define EC_GROUP_X9_62_CHAR2_368W1 NID_X9_62_c2pnb368w1 -#define EC_GROUP_X9_62_CHAR2_431R1 NID_X9_62_c2tnb431r1 -#define EC_GROUP_SECG_CHAR2_113R1 NID_sect113r1 -#define EC_GROUP_SECG_CHAR2_113R2 NID_sect113r2 -#define EC_GROUP_SECG_CHAR2_131R1 NID_sect131r1 -#define EC_GROUP_SECG_CHAR2_131R2 NID_sect131r2 -#define EC_GROUP_SECG_CHAR2_163K1 NID_sect163k1 -#define EC_GROUP_SECG_CHAR2_163R1 NID_sect163r1 -#define EC_GROUP_SECG_CHAR2_163R2 NID_sect163r2 -#define EC_GROUP_SECG_CHAR2_193R1 NID_sect193r1 -#define EC_GROUP_SECG_CHAR2_193R2 NID_sect193r2 -#define EC_GROUP_SECG_CHAR2_233K1 NID_sect233k1 -#define EC_GROUP_SECG_CHAR2_233R1 NID_sect233r1 -#define EC_GROUP_SECG_CHAR2_239K1 NID_sect239k1 -#define EC_GROUP_SECG_CHAR2_283K1 NID_sect283k1 -#define EC_GROUP_SECG_CHAR2_283R1 NID_sect283r1 -#define EC_GROUP_SECG_CHAR2_409K1 NID_sect409k1 -#define EC_GROUP_SECG_CHAR2_409R1 NID_sect409r1 -#define EC_GROUP_SECG_CHAR2_571K1 NID_sect571k1 -#define EC_GROUP_SECG_CHAR2_571R1 NID_sect571r1 -#define EC_GROUP_WTLS_1 NID_wap_wsg_idm_ecid_wtls1 -#define EC_GROUP_WTLS_3 NID_wap_wsg_idm_ecid_wtls3 -#define EC_GROUP_WTLS_4 NID_wap_wsg_idm_ecid_wtls4 -#define EC_GROUP_WTLS_5 NID_wap_wsg_idm_ecid_wtls5 -#define EC_GROUP_WTLS_10 NID_wap_wsg_idm_ecid_wtls10 -#define EC_GROUP_WTLS_11 NID_wap_wsg_idm_ecid_wtls11 +/* EC_GROUP_get0_comment() returns a pointer to the 'comment' field of + * ec_curve_data_st structure */ +const char *EC_GROUP_get0_comment(int nid); +/* internal function : ec_group_index2nid() returns the NID of curve + * with the given index i from the internal curve list */ +int ec_group_index2nid(int i); + EC_POINT *EC_POINT_new(const EC_GROUP *); void EC_POINT_free(EC_POINT *); @@ -426,111 +347,109 @@ void ERR_load_EC_strings(void); /* Function codes. */ #define EC_F_COMPUTE_WNAF 143 -#define EC_F_D2I_ECPARAMETERS 155 -#define EC_F_D2I_ECPKPARAMETERS 161 -#define EC_F_D2I_ECPRIVATEKEY 168 -#define EC_F_ECPARAMETERS_PRINT 173 -#define EC_F_ECPARAMETERS_PRINT_FP 174 -#define EC_F_ECPKPARAMETERS_PRINT 166 -#define EC_F_ECPKPARAMETERS_PRINT_FP 167 -#define EC_F_ECPUBLICKEY_GET_OCTET 170 -#define EC_F_ECPUBLICKEY_SET_OCTET 171 -#define EC_F_EC_ASN1_GROUP2CURVE 159 -#define EC_F_EC_ASN1_GROUP2FIELDID 156 -#define EC_F_EC_ASN1_GROUP2PARAMETERS 160 -#define EC_F_EC_ASN1_GROUP2PKPARAMETERS 162 +#define EC_F_D2I_ECPARAMETERS 144 +#define EC_F_D2I_ECPKPARAMETERS 145 +#define EC_F_D2I_ECPRIVATEKEY 146 +#define EC_F_ECPARAMETERS_PRINT 147 +#define EC_F_ECPARAMETERS_PRINT_FP 148 +#define EC_F_ECPKPARAMETERS_PRINT 149 +#define EC_F_ECPKPARAMETERS_PRINT_FP 150 +#define EC_F_ECPUBLICKEY_GET_OCTET 151 +#define EC_F_ECPUBLICKEY_SET_OCTET 152 +#define EC_F_EC_ASN1_GROUP2CURVE 153 +#define EC_F_EC_ASN1_GROUP2FIELDID 154 +#define EC_F_EC_ASN1_GROUP2PARAMETERS 155 +#define EC_F_EC_ASN1_GROUP2PKPARAMETERS 156 #define EC_F_EC_ASN1_PARAMETERS2GROUP 157 -#define EC_F_EC_ASN1_PKPARAMETERS2GROUP 163 -#define EC_F_EC_GF2M_SIMPLE_GROUP_CHECK_DISCRIMINANT 168 -#define EC_F_EC_GF2M_SIMPLE_OCT2POINT 169 -#define EC_F_EC_GF2M_SIMPLE_POINT2OCT 170 -#define EC_F_EC_GF2M_SIMPLE_POINT_GET_AFFINE_COORDINATES 171 -#define EC_F_EC_GF2M_SIMPLE_POINT_SET_AFFINE_COORDINATES 172 -#define EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES 182 +#define EC_F_EC_ASN1_PKPARAMETERS2GROUP 158 +#define EC_F_EC_GF2M_SIMPLE_GROUP_CHECK_DISCRIMINANT 159 +#define EC_F_EC_GF2M_SIMPLE_OCT2POINT 160 +#define EC_F_EC_GF2M_SIMPLE_POINT2OCT 161 +#define EC_F_EC_GF2M_SIMPLE_POINT_GET_AFFINE_COORDINATES 162 +#define EC_F_EC_GF2M_SIMPLE_POINT_SET_AFFINE_COORDINATES 163 +#define EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES 164 #define EC_F_EC_GFP_MONT_FIELD_DECODE 133 #define EC_F_EC_GFP_MONT_FIELD_ENCODE 134 #define EC_F_EC_GFP_MONT_FIELD_MUL 131 #define EC_F_EC_GFP_MONT_FIELD_SQR 132 -#define EC_F_EC_GFP_SIMPLE_GROUP_CHECK_DISCRIMINANT 152 -#define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE 100 +#define EC_F_EC_GFP_SIMPLE_GROUP_CHECK_DISCRIMINANT 165 +#define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE 166 +#define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE_GFP 100 #define EC_F_EC_GFP_SIMPLE_GROUP_SET_GENERATOR 101 #define EC_F_EC_GFP_SIMPLE_MAKE_AFFINE 102 #define EC_F_EC_GFP_SIMPLE_OCT2POINT 103 #define EC_F_EC_GFP_SIMPLE_POINT2OCT 104 #define EC_F_EC_GFP_SIMPLE_POINTS_MAKE_AFFINE 137 -#define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES 105 -#define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES 128 -#define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES 129 -#define EC_F_EC_GROUP_CHECK 150 -#define EC_F_EC_GROUP_CHECK_DISCRIMINANT 153 +#define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES 167 +#define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES_GFP 105 +#define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES 168 +#define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES_GFP 128 +#define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES 169 +#define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP 129 +#define EC_F_EC_GROUP_CHECK 170 +#define EC_F_EC_GROUP_CHECK_DISCRIMINANT 171 #define EC_F_EC_GROUP_COPY 106 #define EC_F_EC_GROUP_GET0_GENERATOR 139 #define EC_F_EC_GROUP_GET_COFACTOR 140 -#define EC_F_EC_GROUP_GET_CURVE_GF2M 173 +#define EC_F_EC_GROUP_GET_CURVE_GF2M 172 #define EC_F_EC_GROUP_GET_CURVE_GFP 130 -#define EC_F_EC_GROUP_GET_DEGREE 174 +#define EC_F_EC_GROUP_GET_DEGREE 173 #define EC_F_EC_GROUP_GET_EXTRA_DATA 107 #define EC_F_EC_GROUP_GET_ORDER 141 #define EC_F_EC_GROUP_GROUP2NID 147 #define EC_F_EC_GROUP_NEW 108 -#define EC_F_EC_GROUP_NEW_BY_NAME 144 -#define EC_F_EC_GROUP_NEW_BY_NID 146 -#define EC_F_EC_GROUP_NEW_GF2M_FROM_HEX 175 -#define EC_F_EC_GROUP_NEW_GFP_FROM_HEX 148 +#define EC_F_EC_GROUP_NEW_BY_NID 174 +#define EC_F_EC_GROUP_NEW_FROM_DATA 175 #define EC_F_EC_GROUP_PRECOMPUTE_MULT 142 #define EC_F_EC_GROUP_SET_CURVE_GF2M 176 #define EC_F_EC_GROUP_SET_CURVE_GFP 109 #define EC_F_EC_GROUP_SET_EXTRA_DATA 110 #define EC_F_EC_GROUP_SET_GENERATOR 111 -#define EC_F_EC_KEY_CHECK_KEY 184 -#define EC_F_EC_KEY_COPY 186 -#define EC_F_EC_KEY_GENERATE_KEY 185 -#define EC_F_EC_KEY_PRINT 175 -#define EC_F_EC_KEY_PRINT_FP 176 -#define EC_F_EC_NEW 172 +#define EC_F_EC_KEY_CHECK_KEY 177 +#define EC_F_EC_KEY_COPY 178 +#define EC_F_EC_KEY_GENERATE_KEY 179 +#define EC_F_EC_KEY_PRINT 180 +#define EC_F_EC_KEY_PRINT_FP 181 +#define EC_F_EC_NEW 182 #define EC_F_EC_POINTS_MAKE_AFFINE 136 #define EC_F_EC_POINTS_MUL 138 #define EC_F_EC_POINT_ADD 112 #define EC_F_EC_POINT_CMP 113 #define EC_F_EC_POINT_COPY 114 #define EC_F_EC_POINT_DBL 115 -#define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M 177 +#define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M 183 #define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP 116 #define EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP 117 #define EC_F_EC_POINT_IS_AT_INFINITY 118 #define EC_F_EC_POINT_IS_ON_CURVE 119 #define EC_F_EC_POINT_MAKE_AFFINE 120 -#define EC_F_EC_POINT_MUL 179 +#define EC_F_EC_POINT_MUL 184 #define EC_F_EC_POINT_NEW 121 #define EC_F_EC_POINT_OCT2POINT 122 #define EC_F_EC_POINT_POINT2OCT 123 -#define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M 180 +#define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M 185 #define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP 124 -#define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M 181 +#define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M 186 #define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP 125 #define EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP 126 #define EC_F_EC_POINT_SET_TO_INFINITY 127 -#define EC_F_EC_WNAF_MUL 183 -#define EC_F_EC_WNAF_PRECOMPUTE_MULT 178 -#define EC_F_GFP_MONT_GROUP_SET_CURVE 135 -#define EC_F_I2D_ECDSAPARAMETERS 158 -#define EC_F_I2D_ECPARAMETERS 164 -#define EC_F_I2D_ECPKPARAMETERS 165 -#define EC_F_I2D_ECPRIVATEKEY 169 +#define EC_F_EC_WNAF_MUL 187 +#define EC_F_EC_WNAF_PRECOMPUTE_MULT 188 +#define EC_F_GFP_MONT_GROUP_SET_CURVE 189 +#define EC_F_GFP_MONT_GROUP_SET_CURVE_GFP 135 +#define EC_F_I2D_ECPARAMETERS 190 +#define EC_F_I2D_ECPKPARAMETERS 191 +#define EC_F_I2D_ECPRIVATEKEY 192 /* Reason codes. */ -#define EC_R_ASN1_ERROR 130 -#define EC_R_ASN1_UNKNOWN_FIELD 131 +#define EC_R_ASN1_ERROR 115 +#define EC_R_ASN1_UNKNOWN_FIELD 116 #define EC_R_BUFFER_TOO_SMALL 100 -#define EC_R_D2I_ECPARAMETERS_FAILURE 132 -#define EC_R_D2I_ECPKPARAMETERS_FAILURE 133 -#define EC_R_D2I_EC_PARAMETERS_FAILURE 123 +#define EC_R_D2I_ECPKPARAMETERS_FAILURE 117 #define EC_R_DISCRIMINANT_IS_ZERO 118 -#define EC_R_EC_GROUP_NEW_BY_NAME_FAILURE 124 -#define EC_R_GROUP2PARAMETERS_FAILURE 125 -#define EC_R_GROUP2PKPARAMETERS_FAILURE 134 -#define EC_R_I2D_ECPKPARAMETERS_FAILURE 135 -#define EC_R_I2D_EC_PARAMETERS_FAILURE 126 +#define EC_R_EC_GROUP_NEW_BY_NAME_FAILURE 119 +#define EC_R_GROUP2PKPARAMETERS_FAILURE 120 +#define EC_R_I2D_ECPKPARAMETERS_FAILURE 121 #define EC_R_INCOMPATIBLE_OBJECTS 101 #define EC_R_INVALID_ARGUMENT 112 #define EC_R_INVALID_COMPRESSED_POINT 110 @@ -538,25 +457,22 @@ void ERR_load_EC_strings(void); #define EC_R_INVALID_ENCODING 102 #define EC_R_INVALID_FIELD 103 #define EC_R_INVALID_FORM 104 -#define EC_R_INVALID_GROUP_ORDER 119 -#define EC_R_INVALID_PRIVATE_KEY 139 -#define EC_R_MISSING_PARAMETERS 127 -#define EC_R_MISSING_PRIVATE_KEY 138 -#define EC_R_NOT_IMPLEMENTED 136 +#define EC_R_INVALID_GROUP_ORDER 122 +#define EC_R_INVALID_PRIVATE_KEY 123 +#define EC_R_MISSING_PARAMETERS 124 +#define EC_R_MISSING_PRIVATE_KEY 125 +#define EC_R_NOT_IMPLEMENTED 126 #define EC_R_NOT_INITIALIZED 111 #define EC_R_NO_SUCH_EXTRA_DATA 105 -#define EC_R_PARAMETERS2GROUP_FAILURE 128 -#define EC_R_PKPARAMETERS2GROUP_FAILURE 137 +#define EC_R_PKPARAMETERS2GROUP_FAILURE 127 #define EC_R_POINT_AT_INFINITY 106 #define EC_R_POINT_IS_NOT_ON_CURVE 107 #define EC_R_SLOT_FULL 108 #define EC_R_UNDEFINED_GENERATOR 113 -#define EC_R_UNDEFINED_ORDER 122 -#define EC_R_UNKNOWN_GROUP 116 -#define EC_R_UNKNOWN_NID 117 +#define EC_R_UNDEFINED_ORDER 128 +#define EC_R_UNKNOWN_GROUP 129 #define EC_R_UNKNOWN_ORDER 114 -#define EC_R_UNKNOWN_PARAMETERS_TYPE 129 -#define EC_R_WRONG_ORDER 140 +#define EC_R_WRONG_ORDER 130 #ifdef __cplusplus } diff --git a/crypto/ec/ec_asn1.c b/crypto/ec/ec_asn1.c index c1879dc510..8aa07c4dce 100644 --- a/crypto/ec/ec_asn1.c +++ b/crypto/ec/ec_asn1.c @@ -770,7 +770,7 @@ EC_GROUP *EC_ASN1_pkparameters2group(const ECPKPARAMETERS *params) if (params->type == 0) { /* the curve is given by an OID */ tmp = OBJ_obj2nid(params->value.named_curve); - if ((ret = EC_GROUP_new_by_name(tmp)) == NULL) + if ((ret = EC_GROUP_new_by_nid(tmp)) == NULL) { ECerr(EC_F_EC_ASN1_PKPARAMETERS2GROUP, EC_R_EC_GROUP_NEW_BY_NAME_FAILURE); diff --git a/crypto/ec/ec_curve.c b/crypto/ec/ec_curve.c index 55ce45d8cf..93f775d556 100644 --- a/crypto/ec/ec_curve.c +++ b/crypto/ec/ec_curve.c @@ -1,4 +1,7 @@ /* crypto/ec/ec_curve.c */ +/* + * Written by Nils Larsch for the OpenSSL project. + */ /* ==================================================================== * Copyright (c) 1998-2002 The OpenSSL Project. All rights reserved. * @@ -82,793 +85,1141 @@ #include "ec_lcl.h" #include #include -#include -#include -/* #define _EC_GROUP_EXAMPLE_PRIME_CURVE \ - * "the prime number p", "a", "b", "the compressed base point", "y-bit", "order", "cofactor" - */ +typedef struct ec_curve_data_st { + int field_type; /* either NID_X9_62_prime_field or + * NID_X9_62_characteristic_two_field */ + const char *p; /* either a prime number or a polynomial */ + const char *a; + const char *b; + const char *x; /* the x coordinate of the generator */ + const char *y; /* the y coordinate of the generator */ + const char *order; /* the order of the group generated by the + * generator */ + const BN_ULONG cofactor;/* the cofactor */ + const unsigned char *seed;/* the seed (optional) */ + size_t seed_len; + const char *comment; /* a short (less than 80 characters) + * description of the curve */ +} EC_CURVE_DATA; + /* the nist prime curves */ -#define _EC_GROUP_NIST_PRIME_192 \ - "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF",\ - "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC",\ - "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1",\ - "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012",1,\ - "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831",1 -#define _EC_GROUP_NIST_PRIME_224 \ - "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001",\ - "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE",\ - "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4",\ - "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21",0,\ - "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D",1 -#define _EC_GROUP_NIST_PRIME_384 \ - "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF",\ - "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC",\ - "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF",\ - "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B9859F741E082542A385502F25DBF55296C3A545E3872760AB7",1,\ - "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973",1 -#define _EC_GROUP_NIST_PRIME_521 \ - "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"\ - "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF",\ - "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"\ - "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC",\ - "051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B"\ - "315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573DF883D2C34F1EF451FD46B503F00",\ - "C6858E06B70404E9CD9E3ECB662395B4429C648139053F"\ - "B521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B3C1856A429BF97E7E31C2E5BD66",0,\ - "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"\ - "FFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5C9B8899C47AEBB6FB71E91386409",1 +static const unsigned char _EC_NIST_PRIME_192_SEED[] = { + 0x30,0x45,0xAE,0x6F,0xC8,0x42,0x2F,0x64,0xED,0x57, + 0x95,0x28,0xD3,0x81,0x20,0xEA,0xE1,0x21,0x96,0xD5}; +static const EC_CURVE_DATA _EC_NIST_PRIME_192 = { + NID_X9_62_prime_field, + "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF", + "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC", + "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1", + "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012", + "07192b95ffc8da78631011ed6b24cdd573f977a11e794811", + "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831",1, + _EC_NIST_PRIME_192_SEED, 20, + "192 bit prime curve from the X9.62 draft" + }; + +static const unsigned char _EC_NIST_PRIME_224_SEED[] = { + 0xBD,0x71,0x34,0x47,0x99,0xD5,0xC7,0xFC,0xDC,0x45, + 0xB5,0x9F,0xA3,0xB9,0xAB,0x8F,0x6A,0x94,0x8B,0xC5}; +static const EC_CURVE_DATA _EC_NIST_PRIME_224 = { + NID_X9_62_prime_field, + "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001", + "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE", + "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4", + "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21", + "bd376388b5f723fb4c22dfe6cd4375a05a07476444d5819985007e34", + "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D",1, + _EC_NIST_PRIME_224_SEED, 20, + "SECG/NIST recommended curve over a 224 bit prime field" + }; + +static const unsigned char _EC_NIST_PRIME_384_SEED[] = { + 0xA3,0x35,0x92,0x6A,0xA3,0x19,0xA2,0x7A,0x1D,0x00, + 0x89,0x6A,0x67,0x73,0xA4,0x82,0x7A,0xCD,0xAC,0x73}; +static const EC_CURVE_DATA _EC_NIST_PRIME_384 = { + NID_X9_62_prime_field, + "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFF" + "FFF0000000000000000FFFFFFFF", + "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFF" + "FFF0000000000000000FFFFFFFC", + "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141120314088F5013875AC6563" + "98D8A2ED19D2A85C8EDD3EC2AEF", + "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B9859F741E082542A385502F" + "25DBF55296C3A545E3872760AB7", + "3617de4a96262c6f5d9e98bf9292dc29f8f41dbd289a147ce9da3113b5f0b8c00a60b" + "1ce1d7e819d7a431d7c90ea0e5f", + "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC7634D81F4372DDF581A0" + "DB248B0A77AECEC196ACCC52973",1, + _EC_NIST_PRIME_384_SEED, 20, + "SECG/NIST recommended curve over a 384 bit prime field" + }; + +static const unsigned char _EC_NIST_PRIME_521_SEED[] = { + 0xD0,0x9E,0x88,0x00,0x29,0x1C,0xB8,0x53,0x96,0xCC, + 0x67,0x17,0x39,0x32,0x84,0xAA,0xA0,0xDA,0x64,0xBA}; +static const EC_CURVE_DATA _EC_NIST_PRIME_521 = { + NID_X9_62_prime_field, + "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" + "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", + "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" + "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC", + "051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B315F3B8B489918EF109E156" + "193951EC7E937B1652C0BD3BB1BF073573DF883D2C34F1EF451FD46B503F00", + "C6858E06B70404E9CD9E3ECB662395B4429C648139053FB521F828AF606B4D3DBAA14" + "B5E77EFE75928FE1DC127A2FFA8DE3348B3C1856A429BF97E7E31C2E5BD66", + "011839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c9" + "7ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650", + "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFA51" + "868783BF2F966B7FCC0148F709A5D03BB5C9B8899C47AEBB6FB71E91386409",1, + _EC_NIST_PRIME_521_SEED, 20, + "SECG/NIST recommended curve over a 521 bit prime field" + }; /* the x9.62 prime curves (minus the nist prime curves) */ -#define _EC_GROUP_X9_62_PRIME_192V2 \ - "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF",\ - "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC",\ - "CC22D6DFB95C6B25E49C0D6364A4E5980C393AA21668D953",\ - "EEA2BAE7E1497842F2DE7769CFE9C989C072AD696F48034A",1,\ - "FFFFFFFFFFFFFFFFFFFFFFFE5FB1A724DC80418648D8DD31",1 -#define _EC_GROUP_X9_62_PRIME_192V3 \ - "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF",\ - "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC",\ - "22123DC2395A05CAA7423DAECCC94760A7D462256BD56916",\ - "7D29778100C65A1DA1783716588DCE2B8B4AEE8E228F1896",0,\ - "FFFFFFFFFFFFFFFFFFFFFFFF7A62D031C83F4294F640EC13",1 -#define _EC_GROUP_X9_62_PRIME_239V1 \ - "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF",\ - "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC",\ - "6B016C3BDCF18941D0D654921475CA71A9DB2FB27D1D37796185C2942C0A",\ - "0FFA963CDCA8816CCC33B8642BEDF905C3D358573D3F27FBBD3B3CB9AAAF",0,\ - "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFF9E5E9A9F5D9071FBD1522688909D0B",1 -#define _EC_GROUP_X9_62_PRIME_239V2 \ - "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF",\ - "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC",\ - "617FAB6832576CBBFED50D99F0249C3FEE58B94BA0038C7AE84C8C832F2C",\ - "38AF09D98727705120C921BB5E9E26296A3CDCF2F35757A0EAFD87B830E7",0,\ - "7FFFFFFFFFFFFFFFFFFFFFFF800000CFA7E8594377D414C03821BC582063",1 -#define _EC_GROUP_X9_62_PRIME_239V3 \ - "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF",\ - "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC",\ - "255705FA2A306654B1F4CB03D6A750A30C250102D4988717D9BA15AB6D3E",\ - "6768AE8E18BB92CFCF005C949AA2C6D94853D0E660BBF854B1C9505FE95A",1,\ - "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFF975DEB41B3A6057C3C432146526551",1 -#define _EC_GROUP_X9_62_PRIME_256V1 \ - "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF",\ - "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC",\ - "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B",\ - "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296",1,\ - "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551",1 +static const unsigned char _EC_X9_62_PRIME_192V2_SEED[] = { + 0x31,0xA9,0x2E,0xE2,0x02,0x9F,0xD1,0x0D,0x90,0x1B, + 0x11,0x3E,0x99,0x07,0x10,0xF0,0xD2,0x1A,0xC6,0xB6}; +static const EC_CURVE_DATA _EC_X9_62_PRIME_192V2 = { + NID_X9_62_prime_field, + "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF", + "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC", + "CC22D6DFB95C6B25E49C0D6364A4E5980C393AA21668D953", + "EEA2BAE7E1497842F2DE7769CFE9C989C072AD696F48034A", + "6574d11d69b6ec7a672bb82a083df2f2b0847de970b2de15", + "FFFFFFFFFFFFFFFFFFFFFFFE5FB1A724DC80418648D8DD31",1, + _EC_X9_62_PRIME_192V2_SEED, 20, + "192 bit prime curve from the X9.62 draft" + }; + +static const unsigned char _EC_X9_62_PRIME_192V3_SEED[] = { + 0xC4,0x69,0x68,0x44,0x35,0xDE,0xB3,0x78,0xC4,0xB6, + 0x5C,0xA9,0x59,0x1E,0x2A,0x57,0x63,0x05,0x9A,0x2E}; +static const EC_CURVE_DATA _EC_X9_62_PRIME_192V3 = { + NID_X9_62_prime_field, + "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF", + "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC", + "22123DC2395A05CAA7423DAECCC94760A7D462256BD56916", + "7D29778100C65A1DA1783716588DCE2B8B4AEE8E228F1896", + "38a90f22637337334b49dcb66a6dc8f9978aca7648a943b0", + "FFFFFFFFFFFFFFFFFFFFFFFF7A62D031C83F4294F640EC13",1, + _EC_X9_62_PRIME_192V3_SEED, 20, + "192 bit prime curve from the X9.62 draft" + }; + +static const unsigned char _EC_X9_62_PRIME_239V1_SEED[] = { + 0xE4,0x3B,0xB4,0x60,0xF0,0xB8,0x0C,0xC0,0xC0,0xB0, + 0x75,0x79,0x8E,0x94,0x80,0x60,0xF8,0x32,0x1B,0x7D}; +static const EC_CURVE_DATA _EC_X9_62_PRIME_239V1 = { + NID_X9_62_prime_field, + "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF", + "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC", + "6B016C3BDCF18941D0D654921475CA71A9DB2FB27D1D37796185C2942C0A", + "0FFA963CDCA8816CCC33B8642BEDF905C3D358573D3F27FBBD3B3CB9AAAF", + "7debe8e4e90a5dae6e4054ca530ba04654b36818ce226b39fccb7b02f1ae", + "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFF9E5E9A9F5D9071FBD1522688909D0B",1, + _EC_X9_62_PRIME_239V1_SEED, 20, + "239 bit prime curve from the X9.62 draft" + }; + +static const unsigned char _EC_X9_62_PRIME_239V2_SEED[] = { + 0xE8,0xB4,0x01,0x16,0x04,0x09,0x53,0x03,0xCA,0x3B, + 0x80,0x99,0x98,0x2B,0xE0,0x9F,0xCB,0x9A,0xE6,0x16}; +static const EC_CURVE_DATA _EC_X9_62_PRIME_239V2 = { + NID_X9_62_prime_field, + "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF", + "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC", + "617FAB6832576CBBFED50D99F0249C3FEE58B94BA0038C7AE84C8C832F2C", + "38AF09D98727705120C921BB5E9E26296A3CDCF2F35757A0EAFD87B830E7", + "5b0125e4dbea0ec7206da0fc01d9b081329fb555de6ef460237dff8be4ba", + "7FFFFFFFFFFFFFFFFFFFFFFF800000CFA7E8594377D414C03821BC582063",1, + _EC_X9_62_PRIME_239V2_SEED, 20, + "239 bit prime curve from the X9.62 draft" + }; + +static const unsigned char _EC_X9_62_PRIME_239V3_SEED[] = { + 0x7D,0x73,0x74,0x16,0x8F,0xFE,0x34,0x71,0xB6,0x0A, + 0x85,0x76,0x86,0xA1,0x94,0x75,0xD3,0xBF,0xA2,0xFF}; +static const EC_CURVE_DATA _EC_X9_62_PRIME_239V3 = { + NID_X9_62_prime_field, + "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF", + "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC", + "255705FA2A306654B1F4CB03D6A750A30C250102D4988717D9BA15AB6D3E", + "6768AE8E18BB92CFCF005C949AA2C6D94853D0E660BBF854B1C9505FE95A", + "1607e6898f390c06bc1d552bad226f3b6fcfe48b6e818499af18e3ed6cf3", + "7FFFFFFFFFFFFFFFFFFFFFFF7FFFFF975DEB41B3A6057C3C432146526551",1, + _EC_X9_62_PRIME_239V3_SEED, 20, + "239 bit prime curve from the X9.62 draft" + }; + +static const unsigned char _EC_X9_62_PRIME_256V1_SEED[] = { + 0xC4,0x9D,0x36,0x08,0x86,0xE7,0x04,0x93,0x6A,0x66, + 0x78,0xE1,0x13,0x9D,0x26,0xB7,0x81,0x9F,0x7E,0x90}; +static const EC_CURVE_DATA _EC_X9_62_PRIME_256V1 = { + NID_X9_62_prime_field, + "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF", + "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC", + "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B", + "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296", + "4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5", + "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551",1, + _EC_X9_62_PRIME_256V1_SEED, 20, + "256 bit prime curve from the X9.62 draft" + }; /* the secg prime curves (minus the nist and x9.62 prime curves) */ -#define _EC_GROUP_SECG_PRIME_112R1 \ - "DB7C2ABF62E35E668076BEAD208B",\ - "DB7C2ABF62E35E668076BEAD2088",\ - "659EF8BA043916EEDE8911702B22",\ - "09487239995A5EE76B55F9C2F098",0,\ - "DB7C2ABF62E35E7628DFAC6561C5",1 -#define _EC_GROUP_SECG_PRIME_112R2 \ - "DB7C2ABF62E35E668076BEAD208B",\ - "6127C24C05F38A0AAAF65C0EF02C",\ - "51DEF1815DB5ED74FCC34C85D709",\ - "4BA30AB5E892B4E1649DD0928643",1,\ - "36DF0AAFD8B8D7597CA10520D04B",4 -#define _EC_GROUP_SECG_PRIME_128R1 \ - "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF",\ - "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFC",\ - "E87579C11079F43DD824993C2CEE5ED3",\ - "161FF7528B899B2D0C28607CA52C5B86",1,\ - "FFFFFFFE0000000075A30D1B9038A115",1 -#define _EC_GROUP_SECG_PRIME_128R2 \ - "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF",\ - "D6031998D1B3BBFEBF59CC9BBFF9AEE1",\ - "5EEEFCA380D02919DC2C6558BB6D8A5D",\ - "7B6AA5D85E572983E6FB32A7CDEBC140",0,\ - "3FFFFFFF7FFFFFFFBE0024720613B5A3",4 -#define _EC_GROUP_SECG_PRIME_160K1 \ - "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73",\ - "0",\ - "7",\ - "3B4C382CE37AA192A4019E763036F4F5DD4D7EBB",0,\ - "0100000000000000000001B8FA16DFAB9ACA16B6B3",1 -#define _EC_GROUP_SECG_PRIME_160R1 \ - "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF",\ - "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC",\ - "1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45",\ - "4A96B5688EF573284664698968C38BB913CBFC82",0,\ - "0100000000000000000001F4C8F927AED3CA752257",1 -#define _EC_GROUP_SECG_PRIME_160R2 \ - "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73",\ - "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC70",\ - "B4E134D3FB59EB8BAB57274904664D5AF50388BA",\ - "52DCB034293A117E1F4FF11B30F7199D3144CE6D",0,\ - "0100000000000000000000351EE786A818F3A1A16B",1 -#define _EC_GROUP_SECG_PRIME_192K1 \ - "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFEE37",\ - "0",\ - "3",\ - "DB4FF10EC057E9AE26B07D0280B7F4341DA5D1B1EAE06C7D",1,\ - "FFFFFFFFFFFFFFFFFFFFFFFE26F2FC170F69466A74DEFD8D",1 -#define _EC_GROUP_SECG_PRIME_224K1 \ - "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFE56D",\ - "0",\ - "5",\ - "A1455B334DF099DF30FC28A169A467E9E47075A90F7E650EB6B7A45C",1,\ - "010000000000000000000000000001DCE8D2EC6184CAF0A971769FB1F7",1 -#define _EC_GROUP_SECG_PRIME_256K1 \ - "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F",\ - "0",\ - "7",\ - "79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798",0,\ - "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141",1 +static const unsigned char _EC_SECG_PRIME_112R1_SEED[] = { + 0x00,0xF5,0x0B,0x02,0x8E,0x4D,0x69,0x6E,0x67,0x68, + 0x75,0x61,0x51,0x75,0x29,0x04,0x72,0x78,0x3F,0xB1}; +static const EC_CURVE_DATA _EC_SECG_PRIME_112R1 = { + NID_X9_62_prime_field, + "DB7C2ABF62E35E668076BEAD208B", + "DB7C2ABF62E35E668076BEAD2088", + "659EF8BA043916EEDE8911702B22", + "09487239995A5EE76B55F9C2F098", + "a89ce5af8724c0a23e0e0ff77500", + "DB7C2ABF62E35E7628DFAC6561C5",1, + _EC_SECG_PRIME_112R1_SEED, 20, + "SECG/WTLS recommended curve over a 112 bit prime field" + }; + +static const unsigned char _EC_SECG_PRIME_112R2_SEED[] = { + 0x00,0x27,0x57,0xA1,0x11,0x4D,0x69,0x6E,0x67,0x68, + 0x75,0x61,0x51,0x75,0x53,0x16,0xC0,0x5E,0x0B,0xD4}; +static const EC_CURVE_DATA _EC_SECG_PRIME_112R2 = { + NID_X9_62_prime_field, + "DB7C2ABF62E35E668076BEAD208B", + "6127C24C05F38A0AAAF65C0EF02C", + "51DEF1815DB5ED74FCC34C85D709", + "4BA30AB5E892B4E1649DD0928643", + "adcd46f5882e3747def36e956e97", + "36DF0AAFD8B8D7597CA10520D04B",4, + _EC_SECG_PRIME_112R2_SEED, 20, + "SECG recommended curve over a 112 bit prime field" + }; + +static const unsigned char _EC_SECG_PRIME_128R1_SEED[] = { + 0x00,0x0E,0x0D,0x4D,0x69,0x6E,0x67,0x68,0x75,0x61, + 0x51,0x75,0x0C,0xC0,0x3A,0x44,0x73,0xD0,0x36,0x79}; +static const EC_CURVE_DATA _EC_SECG_PRIME_128R1 = { + NID_X9_62_prime_field, + "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF", + "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFC", + "E87579C11079F43DD824993C2CEE5ED3", + "161FF7528B899B2D0C28607CA52C5B86", + "cf5ac8395bafeb13c02da292dded7a83", + "FFFFFFFE0000000075A30D1B9038A115",1, + _EC_SECG_PRIME_128R1_SEED, 20, + "SECG recommended curve over a 128 bit prime field" + }; + +static const unsigned char _EC_SECG_PRIME_128R2_SEED[] = { + 0x00,0x4D,0x69,0x6E,0x67,0x68,0x75,0x61,0x51,0x75, + 0x12,0xD8,0xF0,0x34,0x31,0xFC,0xE6,0x3B,0x88,0xF4}; +static const EC_CURVE_DATA _EC_SECG_PRIME_128R2 = { + NID_X9_62_prime_field, + "FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF", + "D6031998D1B3BBFEBF59CC9BBFF9AEE1", + "5EEEFCA380D02919DC2C6558BB6D8A5D", + "7B6AA5D85E572983E6FB32A7CDEBC140", + "27b6916a894d3aee7106fe805fc34b44", + "3FFFFFFF7FFFFFFFBE0024720613B5A3",4, + _EC_SECG_PRIME_128R2_SEED, 20, + "SECG recommended curve over a 128 bit prime field" + }; + +static const EC_CURVE_DATA _EC_SECG_PRIME_160K1 = { + NID_X9_62_prime_field, + "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73", + "0", + "7", + "3B4C382CE37AA192A4019E763036F4F5DD4D7EBB", + "938cf935318fdced6bc28286531733c3f03c4fee", + "0100000000000000000001B8FA16DFAB9ACA16B6B3",1, + NULL, 0, + "SECG recommended curve over a 160 bit prime field" + }; + +static const unsigned char _EC_SECG_PRIME_160R1_SEED[] = { + 0x10,0x53,0xCD,0xE4,0x2C,0x14,0xD6,0x96,0xE6,0x76, + 0x87,0x56,0x15,0x17,0x53,0x3B,0xF3,0xF8,0x33,0x45}; +static const EC_CURVE_DATA _EC_SECG_PRIME_160R1 = { + NID_X9_62_prime_field, + "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF", + "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC", + "1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45", + "4A96B5688EF573284664698968C38BB913CBFC82", + "23a628553168947d59dcc912042351377ac5fb32", + "0100000000000000000001F4C8F927AED3CA752257",1, + _EC_SECG_PRIME_160R1_SEED, 20, + "SECG recommended curve over a 160 bit prime field" + }; + +static const unsigned char _EC_SECG_PRIME_160R2_SEED[] = { + 0xB9,0x9B,0x99,0xB0,0x99,0xB3,0x23,0xE0,0x27,0x09, + 0xA4,0xD6,0x96,0xE6,0x76,0x87,0x56,0x15,0x17,0x51}; +static const EC_CURVE_DATA _EC_SECG_PRIME_160R2 = { + NID_X9_62_prime_field, + "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73", + "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC70", + "B4E134D3FB59EB8BAB57274904664D5AF50388BA", + "52DCB034293A117E1F4FF11B30F7199D3144CE6D", + "feaffef2e331f296e071fa0df9982cfea7d43f2e", + "0100000000000000000000351EE786A818F3A1A16B",1, + _EC_SECG_PRIME_160R2_SEED, 20, + "SECG/WTLS recommended curve over a 160 bit prime field" + }; + +static const EC_CURVE_DATA _EC_SECG_PRIME_192K1 = { + NID_X9_62_prime_field, + "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFEE37", + "0", + "3", + "DB4FF10EC057E9AE26B07D0280B7F4341DA5D1B1EAE06C7D", + "9b2f2f6d9c5628a7844163d015be86344082aa88d95e2f9d", + "FFFFFFFFFFFFFFFFFFFFFFFE26F2FC170F69466A74DEFD8D",1, + NULL, 20, + "SECG recommended curve over a 192 bit prime field" + }; + +static const EC_CURVE_DATA _EC_SECG_PRIME_224K1 = { + NID_X9_62_prime_field, + "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFE56D", + "0", + "5", + "A1455B334DF099DF30FC28A169A467E9E47075A90F7E650EB6B7A45C", + "7e089fed7fba344282cafbd6f7e319f7c0b0bd59e2ca4bdb556d61a5", + "010000000000000000000000000001DCE8D2EC6184CAF0A971769FB1F7",1, + NULL, 20, + "SECG recommended curve over a 224 bit prime field" + }; + +static const EC_CURVE_DATA _EC_SECG_PRIME_256K1 = { + NID_X9_62_prime_field, + "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F", + "0", + "7", + "79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798", + "483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8", + "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141",1, + NULL, 20, + "SECG recommended curve over a 256 bit prime field" + }; + /* some wap/wtls curves */ -#define _EC_GROUP_WTLS_8 \ - "FFFFFFFFFFFFFFFFFFFFFFFFFDE7",\ - "0",\ - "3",\ - "1",0,\ - "0100000000000001ECEA551AD837E9",1 -#define _EC_GROUP_WTLS_9 \ - "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC808F",\ - "0",\ - "3",\ - "1",0,\ - "0100000000000000000001CDC98AE0E2DE574ABF33",1 -#define _EC_GROUP_WTLS_12 \ - "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001", \ - "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE", \ - "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4", \ - "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21", 0, \ - "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D", 1 - -/* #define _EC_GROUP_EXAMPLE_CHAR2_CURVE \ - * "prime polynomial", "a", "b", "base point x-coord", "base point y-coord", "order", "cofactor" - */ -#define _EC_GROUP_SECG_CHAR2_113R1 \ - "020000000000000000000000000201", \ - "003088250CA6E7C7FE649CE85820F7", \ - "00E8BEE4D3E2260744188BE0E9C723", \ - "009D73616F35F4AB1407D73562C10F", \ - "00A52830277958EE84D1315ED31886", \ - "0100000000000000D9CCEC8A39E56F", 2 -#define _EC_GROUP_SECG_CHAR2_113R2 \ - "020000000000000000000000000201", \ - "00689918DBEC7E5A0DD6DFC0AA55C7", \ - "0095E9A9EC9B297BD4BF36E059184F", \ - "01A57A6A7B26CA5EF52FCDB8164797", \ - "00B3ADC94ED1FE674C06E695BABA1D", \ - "010000000000000108789B2496AF93", 2 -#define _EC_GROUP_SECG_CHAR2_131R1 \ - "080000000000000000000000000000010D", \ - "07A11B09A76B562144418FF3FF8C2570B8", \ - "0217C05610884B63B9C6C7291678F9D341", \ - "0081BAF91FDF9833C40F9C181343638399", \ - "078C6E7EA38C001F73C8134B1B4EF9E150", \ - "0400000000000000023123953A9464B54D", 2 -#define _EC_GROUP_SECG_CHAR2_131R2 \ - "080000000000000000000000000000010D", \ - "03E5A88919D7CAFCBF415F07C2176573B2", \ - "04B8266A46C55657AC734CE38F018F2192", \ - "0356DCD8F2F95031AD652D23951BB366A8", \ - "0648F06D867940A5366D9E265DE9EB240F", \ - "0400000000000000016954A233049BA98F", 2 -#define _EC_GROUP_SECG_CHAR2_163K1 \ - "0800000000000000000000000000000000000000C9", \ - "1", \ - "1", \ - "02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8", \ - "0289070FB05D38FF58321F2E800536D538CCDAA3D9", \ - "04000000000000000000020108A2E0CC0D99F8A5EF", 2 -#define _EC_GROUP_SECG_CHAR2_163R1 \ - "0800000000000000000000000000000000000000C9", \ - "07B6882CAAEFA84F9554FF8428BD88E246D2782AE2", \ - "0713612DCDDCB40AAB946BDA29CA91F73AF958AFD9", \ - "0369979697AB43897789566789567F787A7876A654", \ - "00435EDB42EFAFB2989D51FEFCE3C80988F41FF883", \ - "03FFFFFFFFFFFFFFFFFFFF48AAB689C29CA710279B", 2 -#define _EC_GROUP_SECG_CHAR2_163R2 \ - "0800000000000000000000000000000000000000C9", \ - "1", \ - "020A601907B8C953CA1481EB10512F78744A3205FD", \ - "03F0EBA16286A2D57EA0991168D4994637E8343E36", \ - "00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1", \ - "040000000000000000000292FE77E70C12A4234C33", 2 -#define _EC_GROUP_SECG_CHAR2_193R1 \ - "02000000000000000000000000000000000000000000008001", \ - "0017858FEB7A98975169E171F77B4087DE098AC8A911DF7B01", \ - "00FDFB49BFE6C3A89FACADAA7A1E5BBC7CC1C2E5D831478814", \ - "01F481BC5F0FF84A74AD6CDF6FDEF4BF6179625372D8C0C5E1", \ - "0025E399F2903712CCF3EA9E3A1AD17FB0B3201B6AF7CE1B05", \ - "01000000000000000000000000C7F34A778F443ACC920EBA49", 2 -#define _EC_GROUP_SECG_CHAR2_193R2 \ - "02000000000000000000000000000000000000000000008001", \ - "0163F35A5137C2CE3EA6ED8667190B0BC43ECD69977702709B", \ - "00C9BB9E8927D4D64C377E2AB2856A5B16E3EFB7F61D4316AE", \ - "00D9B67D192E0367C803F39E1A7E82CA14A651350AAE617E8F", \ - "01CE94335607C304AC29E7DEFBD9CA01F596F927224CDECF6C", \ - "010000000000000000000000015AAB561B005413CCD4EE99D5", 2 -#define _EC_GROUP_SECG_CHAR2_233K1 \ - "020000000000000000000000000000000000000004000000000000000001", \ - "0", \ - "1", \ - "017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126", \ - "01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3", \ - "008000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF", 4 -#define _EC_GROUP_SECG_CHAR2_233R1 \ - "020000000000000000000000000000000000000004000000000000000001", \ - "000000000000000000000000000000000000000000000000000000000001", \ - "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD", \ - "00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B", \ - "01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052", \ - "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7", 2 -#define _EC_GROUP_SECG_CHAR2_239K1 \ - "800000000000000000004000000000000000000000000000000000000001", \ - "0", \ - "1", \ - "29A0B6A887A983E9730988A68727A8B2D126C44CC2CC7B2A6555193035DC", \ - "76310804F12E549BDB011C103089E73510ACB275FC312A5DC6B76553F0CA", \ - "2000000000000000000000000000005A79FEC67CB6E91F1C1DA800E478A5", 4 -#define _EC_GROUP_SECG_CHAR2_283K1 \ - "0800000000000000000000000000000000000000000000000000000000000000000010A1", \ - "0", \ - "1", \ - "0503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2458492836", \ - "01CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259", \ - "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61", 4 -#define _EC_GROUP_SECG_CHAR2_283R1 \ - "0800000000000000000000000000000000000000000000000000000000000000000010A1", \ - "000000000000000000000000000000000000000000000000000000000000000000000001", \ - "027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5", \ - "05F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B12053", \ - "03676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4", \ - "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307", 2 -#define _EC_GROUP_SECG_CHAR2_409K1 \ - "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001", \ - "0", \ - "1", \ - "0060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE9023746", \ - "01E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B", \ - "007FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF", 4 - -#define _EC_GROUP_SECG_CHAR2_409R1 \ - "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001", \ - "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001", \ - "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F", \ - "015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A7", \ - "0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706", \ - "010000000000000000000000000000000000000000000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173", 2 -#define _EC_GROUP_SECG_CHAR2_571K1 \ - "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425", \ - "0", \ - "1", \ - "026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C8972", \ - "0349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3", \ - "020000000000000000000000000000000000000000000000000000000000000000000000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001", 4 -#define _EC_GROUP_SECG_CHAR2_571R1 \ - "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425", \ - "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001", \ - "02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A", \ - "0303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19", \ - "037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B", \ - "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47", 2 - -#define _EC_GROUP_X9_62_CHAR2_163V1 \ - "0800000000000000000000000000000000000000C9", \ - "072546B5435234A422E0789675F432C89435DE5242", \ - "00C9517D06D5240D3CFF38C74B20B6CD4D6F9DD4D9", \ - "07AF69989546103D79329FCC3D74880F33BBE803CB", \ - "0190C402D65BCC2B845337BC52352774E879B94B0D", \ - "0400000000000000000001E60FC8821CC74DAEAFC1", 2 -#define _EC_GROUP_X9_62_CHAR2_163V2 \ - "0800000000000000000000000000000000000000C9", \ - "0108B39E77C4B108BED981ED0E890E117C511CF072", \ - "0667ACEB38AF4E488C407433FFAE4F1C811638DF20", \ - "0024266E4EB5106D0A964D92C4860E2671DB9B6CC5", \ - "01F64F1C0280E19A062003DBAECEAEDEC1CE141D41", \ - "03FFFFFFFFFFFFFFFFFFFDF64DE1151ADBB78F10A7", 2 -#define _EC_GROUP_X9_62_CHAR2_163V3 \ - "0800000000000000000000000000000000000000C9", \ - "07A526C63D3E25A256A007699F5447E32AE456B50E", \ - "03F7061798EB99E238FD6F1BF95B48FEEB4854252B", \ - "02F9F87B7C574D0BDECF8A22E6524775F98CDEBDCB", \ - "01D42417D750A363F61E455807D047059CA039ACFE", \ - "03FFFFFFFFFFFFFFFFFFFE1AEE140F110AFF961309", 2 -#define _EC_GROUP_X9_62_CHAR2_176V1 \ - "0100000000000000000000000000000000080000000007", \ - "E4E6DB2995065C407D9D39B8D0967B96704BA8E9C90B", \ - "5DDA470ABE6414DE8EC133AE28E9BBD7FCEC0AE0FFF2", \ - "8D16C2866798B600F9F08BB4A8E860F3298CE04A5798", \ - "6FA4539C2DADDDD6BAB5167D61B436E1D92BB16A562C", \ - "00010092537397ECA4F6145799D62B0A19CE06FE26AD", 0xFF6E -#define _EC_GROUP_X9_62_CHAR2_191V1 \ - "800000000000000000000000000000000000000000000201", \ - "2866537B676752636A68F56554E12640276B649EF7526267", \ - "2E45EF571F00786F67B0081B9495A3D95462F5DE0AA185EC", \ - "36B3DAF8A23206F9C4F299D7B21A9C369137F2C84AE1AA0D", \ - "765BE73433B3F95E332932E70EA245CA2418EA0EF98018FB", \ - "40000000000000000000000004A20E90C39067C893BBB9A5", 2 -#define _EC_GROUP_X9_62_CHAR2_191V2 \ - "800000000000000000000000000000000000000000000201", \ - "401028774D7777C7B7666D1366EA432071274F89FF01E718", \ - "0620048D28BCBD03B6249C99182B7C8CD19700C362C46A01", \ - "3809B2B7CC1B28CC5A87926AAD83FD28789E81E2C9E3BF10", \ - "17434386626D14F3DBF01760D9213A3E1CF37AEC437D668A", \ - "20000000000000000000000050508CB89F652824E06B8173", 4 -#define _EC_GROUP_X9_62_CHAR2_191V3 \ - "800000000000000000000000000000000000000000000201", \ - "6C01074756099122221056911C77D77E77A777E7E7E77FCB", \ - "71FE1AF926CF847989EFEF8DB459F66394D90F32AD3F15E8", \ - "375D4CE24FDE434489DE8746E71786015009E66E38A926DD", \ - "545A39176196575D985999366E6AD34CE0A77CD7127B06BE", \ - "155555555555555555555555610C0B196812BFB6288A3EA3", 6 -#define _EC_GROUP_X9_62_CHAR2_208W1 \ - "010000000000000000000000000000000800000000000000000007", \ - "0000000000000000000000000000000000000000000000000000", \ - "C8619ED45A62E6212E1160349E2BFA844439FAFC2A3FD1638F9E", \ - "89FDFBE4ABE193DF9559ECF07AC0CE78554E2784EB8C1ED1A57A", \ - "0F55B51A06E78E9AC38A035FF520D8B01781BEB1A6BB08617DE3", \ - "000101BAF95C9723C57B6C21DA2EFF2D5ED588BDD5717E212F9D", 0xFE48 -#define _EC_GROUP_X9_62_CHAR2_239V1 \ - "800000000000000000000000000000000000000000000000001000000001", \ - "32010857077C5431123A46B808906756F543423E8D27877578125778AC76", \ - "790408F2EEDAF392B012EDEFB3392F30F4327C0CA3F31FC383C422AA8C16", \ - "57927098FA932E7C0A96D3FD5B706EF7E5F5C156E16B7E7C86038552E91D", \ - "61D8EE5077C33FECF6F1A16B268DE469C3C7744EA9A971649FC7A9616305", \ - "2000000000000000000000000000000F4D42FFE1492A4993F1CAD666E447", 4 -#define _EC_GROUP_X9_62_CHAR2_239V2 \ - "800000000000000000000000000000000000000000000000001000000001", \ - "4230017757A767FAE42398569B746325D45313AF0766266479B75654E65F", \ - "5037EA654196CFF0CD82B2C14A2FCF2E3FF8775285B545722F03EACDB74B", \ - "28F9D04E900069C8DC47A08534FE76D2B900B7D7EF31F5709F200C4CA205", \ - "5667334C45AFF3B5A03BAD9DD75E2C71A99362567D5453F7FA6E227EC833", \ - "1555555555555555555555555555553C6F2885259C31E3FCDF154624522D", 6 -#define _EC_GROUP_X9_62_CHAR2_239V3 \ - "800000000000000000000000000000000000000000000000001000000001", \ - "01238774666A67766D6676F778E676B66999176666E687666D8766C66A9F", \ - "6A941977BA9F6A435199ACFC51067ED587F519C5ECB541B8E44111DE1D40", \ - "70F6E9D04D289C4E89913CE3530BFDE903977D42B146D539BF1BDE4E9C92", \ - "2E5A0EAF6E5E1305B9004DCE5C0ED7FE59A35608F33837C816D80B79F461", \ - "0CCCCCCCCCCCCCCCCCCCCCCCCCCCCCAC4912D2D9DF903EF9888B8A0E4CFF", 0xA -#define _EC_GROUP_X9_62_CHAR2_272W1 \ - "010000000000000000000000000000000000000000000000000000010000000000000B", \ - "91A091F03B5FBA4AB2CCF49C4EDD220FB028712D42BE752B2C40094DBACDB586FB20", \ - "7167EFC92BB2E3CE7C8AAAFF34E12A9C557003D7C73A6FAF003F99F6CC8482E540F7", \ - "6108BABB2CEEBCF787058A056CBE0CFE622D7723A289E08A07AE13EF0D10D171DD8D", \ - "10C7695716851EEF6BA7F6872E6142FBD241B830FF5EFCACECCAB05E02005DDE9D23", \ - "000100FAF51354E0E39E4892DF6E319C72C8161603FA45AA7B998A167B8F1E629521", 0xFF06 -#define _EC_GROUP_X9_62_CHAR2_304W1 \ - "010000000000000000000000000000000000000000000000000000000000000000000000000807", \ - "FD0D693149A118F651E6DCE6802085377E5F882D1B510B44160074C1288078365A0396C8E681", \ - "BDDB97E555A50A908E43B01C798EA5DAA6788F1EA2794EFCF57166B8C14039601E55827340BE", \ - "197B07845E9BE2D96ADB0F5F3C7F2CFFBD7A3EB8B6FEC35C7FD67F26DDF6285A644F740A2614", \ - "E19FBEB76E0DA171517ECF401B50289BF014103288527A9B416A105E80260B549FDC1B92C03B", \ - "000101D556572AABAC800101D556572AABAC8001022D5C91DD173F8FB561DA6899164443051D", 0xFE2E -#define _EC_GROUP_X9_62_CHAR2_359V1 \ - "800000000000000000000000000000000000000000000000000000000000000000000000100000000000000001", \ - "5667676A654B20754F356EA92017D946567C46675556F19556A04616B567D223A5E05656FB549016A96656A557", \ - "2472E2D0197C49363F1FE7F5B6DB075D52B6947D135D8CA445805D39BC345626089687742B6329E70680231988", \ - "3C258EF3047767E7EDE0F1FDAA79DAEE3841366A132E163ACED4ED2401DF9C6BDCDE98E8E707C07A2239B1B097", \ - "53D7E08529547048121E9C95F3791DD804963948F34FAE7BF44EA82365DC7868FE57E4AE2DE211305A407104BD", \ - "01AF286BCA1AF286BCA1AF286BCA1AF286BCA1AF286BC9FB8F6B85C556892C20A7EB964FE7719E74F490758D3B", 0x4C -#define _EC_GROUP_X9_62_CHAR2_368W1 \ - "0100000000000000000000000000000000000000000000000000000000000000000000002000000000000000000007", \ - "E0D2EE25095206F5E2A4F9ED229F1F256E79A0E2B455970D8D0D865BD94778C576D62F0AB7519CCD2A1A906AE30D", \ - "FC1217D4320A90452C760A58EDCD30C8DD069B3C34453837A34ED50CB54917E1C2112D84D164F444F8F74786046A", \ - "1085E2755381DCCCE3C1557AFA10C2F0C0C2825646C5B34A394CBCFA8BC16B22E7E789E927BE216F02E1FB136A5F", \ - "7B3EB1BDDCBA62D5D8B2059B525797FC73822C59059C623A45FF3843CEE8F87CD1855ADAA81E2A0750B80FDA2310", \ - "00010090512DA9AF72B08349D98A5DD4C7B0532ECA51CE03E2D10F3B7AC579BD87E909AE40A6F131E9CFCE5BD967", 0xFF70 -#define _EC_GROUP_X9_62_CHAR2_431R1 \ - "800000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000001", \ - "1A827EF00DD6FC0E234CAF046C6A5D8A85395B236CC4AD2CF32A0CADBDC9DDF620B0EB9906D0957F6C6FEACD615468DF104DE296CD8F", \ - "10D9B4A3D9047D8B154359ABFB1B7F5485B04CEB868237DDC9DEDA982A679A5A919B626D4E50A8DD731B107A9962381FB5D807BF2618", \ - "120FC05D3C67A99DE161D2F4092622FECA701BE4F50F4758714E8A87BBF2A658EF8C21E7C5EFE965361F6C2999C0C247B0DBD70CE6B7", \ - "20D0AF8903A96F8D5FA2C255745D3C451B302C9346D9B7E485E7BCE41F6B591F3E8F6ADDCBB0BC4C2F947A7DE1A89B625D6A598B3760", \ - "0340340340340340340340340340340340340340340340340340340323C313FAB50589703B5EC68D3587FEC60D161CC149C1AD4A91", 0x2760 - -#define _EC_GROUP_WTLS_1 \ - "020000000000000000000000000201", \ - "1", \ - "1", \ - "01667979A40BA497E5D5C270780617", \ - "00F44B4AF1ECC2630E08785CEBCC15", \ - "00FFFFFFFFFFFFFFFDBF91AF6DEA73", 2 - -static EC_GROUP *ec_group_new_GFp_from_hex(const char *prime_in, - const char *a_in, const char *b_in, - const char *x_in, const int y_bit, const char *order_in, const BN_ULONG cofac_in) - { - EC_GROUP *group=NULL; - EC_POINT *P=NULL; - BN_CTX *ctx=NULL; - BIGNUM *prime=NULL,*a=NULL,*b=NULL,*x=NULL,*order=NULL; - int ok=0; +static const EC_CURVE_DATA _EC_WTLS_8 = { + NID_X9_62_prime_field, + "FFFFFFFFFFFFFFFFFFFFFFFFFDE7", + "0", + "3", + "1", + "2", + "0100000000000001ECEA551AD837E9",1, + NULL, 20, + "112 bit prime curve from the WTLS standard" + }; - if ((ctx = BN_CTX_new()) == NULL) goto bn_err; - if ((prime = BN_new()) == NULL || (a = BN_new()) == NULL || (b = BN_new()) == NULL || - (x = BN_new()) == NULL || (order = BN_new()) == NULL) goto bn_err; - - if (!BN_hex2bn(&prime, prime_in)) goto bn_err; - if (!BN_hex2bn(&a, a_in)) goto bn_err; - if (!BN_hex2bn(&b, b_in)) goto bn_err; +static const EC_CURVE_DATA _EC_WTLS_9 = { + NID_X9_62_prime_field, + "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC808F", + "0", + "3", + "1", + "2", + "0100000000000000000001CDC98AE0E2DE574ABF33",1, + NULL, 20, + "160 bit prime curve from the WTLS standard" + }; - if ((group = EC_GROUP_new_curve_GFp(prime, a, b, ctx)) == NULL) goto err; - if ((P = EC_POINT_new(group)) == NULL) goto err; - - if (!BN_hex2bn(&x, x_in)) goto bn_err; - if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, y_bit, ctx)) goto err; - if (!BN_hex2bn(&order, order_in)) goto bn_err; - if (!BN_set_word(x, cofac_in)) goto bn_err; - if (!EC_GROUP_set_generator(group, P, order, x)) goto err; - ok=1; -bn_err: - if (!ok) - ECerr(EC_F_EC_GROUP_NEW_GFP_FROM_HEX, ERR_R_BN_LIB); -err: - if (!ok) - { - EC_GROUP_free(group); - group = NULL; - } - if (P) EC_POINT_free(P); - if (ctx) BN_CTX_free(ctx); - if (prime) BN_free(prime); - if (a) BN_free(a); - if (b) BN_free(b); - if (order) BN_free(order); - if (x) BN_free(x); - return(group); - } +static const EC_CURVE_DATA _EC_WTLS_12 = { + NID_X9_62_prime_field, + "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001", + "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE", + "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4", + "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21", + "bd376388b5f723fb4c22dfe6cd4375a05a07476444d5819985007e34", + "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D", 1, + NULL, 0, + "224 bit prime curve from the WTLS standard" + }; + +/* characteristic two curves */ +static const unsigned char _EC_SECG_CHAR2_113R1_SEED[] = { + 0x10,0xE7,0x23,0xAB,0x14,0xD6,0x96,0xE6,0x76,0x87, + 0x56,0x15,0x17,0x56,0xFE,0xBF,0x8F,0xCB,0x49,0xA9}; +static const EC_CURVE_DATA _EC_SECG_CHAR2_113R1 = { + NID_X9_62_characteristic_two_field, + "020000000000000000000000000201", + "003088250CA6E7C7FE649CE85820F7", + "00E8BEE4D3E2260744188BE0E9C723", + "009D73616F35F4AB1407D73562C10F", + "00A52830277958EE84D1315ED31886", + "0100000000000000D9CCEC8A39E56F", 2, + _EC_SECG_CHAR2_113R1_SEED, 20, + "SECG recommended curve over a 113 bit binary field" + }; + +static const unsigned char _EC_SECG_CHAR2_113R2_SEED[] = { + 0x10,0xC0,0xFB,0x15,0x76,0x08,0x60,0xDE,0xF1,0xEE, + 0xF4,0xD6,0x96,0xE6,0x76,0x87,0x56,0x15,0x17,0x5D}; +static const EC_CURVE_DATA _EC_SECG_CHAR2_113R2 = { + NID_X9_62_characteristic_two_field, + "020000000000000000000000000201", + "00689918DBEC7E5A0DD6DFC0AA55C7", + "0095E9A9EC9B297BD4BF36E059184F", + "01A57A6A7B26CA5EF52FCDB8164797", + "00B3ADC94ED1FE674C06E695BABA1D", + "010000000000000108789B2496AF93", 2, + _EC_SECG_CHAR2_113R2_SEED, 20, + "SECG recommended curve over a 113 bit binary field" + }; + +static const unsigned char _EC_SECG_CHAR2_131R1_SEED[] = { + 0x4D,0x69,0x6E,0x67,0x68,0x75,0x61,0x51,0x75,0x98, + 0x5B,0xD3,0xAD,0xBA,0xDA,0x21,0xB4,0x3A,0x97,0xE2}; +static const EC_CURVE_DATA _EC_SECG_CHAR2_131R1 = { + NID_X9_62_characteristic_two_field, + "080000000000000000000000000000010D", + "07A11B09A76B562144418FF3FF8C2570B8", + "0217C05610884B63B9C6C7291678F9D341", + "0081BAF91FDF9833C40F9C181343638399", + "078C6E7EA38C001F73C8134B1B4EF9E150", + "0400000000000000023123953A9464B54D", 2, + _EC_SECG_CHAR2_131R1_SEED, 20, + "SECG/WTLS recommended curve over a 131 bit binary field" + }; + +static const unsigned char _EC_SECG_CHAR2_131R2_SEED[] = { + 0x98,0x5B,0xD3,0xAD,0xBA,0xD4,0xD6,0x96,0xE6,0x76, + 0x87,0x56,0x15,0x17,0x5A,0x21,0xB4,0x3A,0x97,0xE3}; +static const EC_CURVE_DATA _EC_SECG_CHAR2_131R2 = { + NID_X9_62_characteristic_two_field, + "080000000000000000000000000000010D", + "03E5A88919D7CAFCBF415F07C2176573B2", + "04B8266A46C55657AC734CE38F018F2192", + "0356DCD8F2F95031AD652D23951BB366A8", + "0648F06D867940A5366D9E265DE9EB240F", + "0400000000000000016954A233049BA98F", 2, + _EC_SECG_CHAR2_131R2_SEED, 20, + "SECG recommended curve over a 131 bit binary field" + }; + +static const EC_CURVE_DATA _EC_SECG_CHAR2_163K1 = { + NID_X9_62_characteristic_two_field, + "0800000000000000000000000000000000000000C9", + "1", + "1", + "02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8", + "0289070FB05D38FF58321F2E800536D538CCDAA3D9", + "04000000000000000000020108A2E0CC0D99F8A5EF", 2, + NULL, 0, + "SECG/NIST/WTLS recommended curve over a 163 bit binary field" + }; + +static const unsigned char _EC_SECG_CHAR2_163R1_SEED[] = { + 0x24,0xB7,0xB1,0x37,0xC8,0xA1,0x4D,0x69,0x6E,0x67, + 0x68,0x75,0x61,0x51,0x75,0x6F,0xD0,0xDA,0x2E,0x5C}; +static const EC_CURVE_DATA _EC_SECG_CHAR2_163R1 = { + NID_X9_62_characteristic_two_field, + "0800000000000000000000000000000000000000C9", + "07B6882CAAEFA84F9554FF8428BD88E246D2782AE2", + "0713612DCDDCB40AAB946BDA29CA91F73AF958AFD9", + "0369979697AB43897789566789567F787A7876A654", + "00435EDB42EFAFB2989D51FEFCE3C80988F41FF883", + "03FFFFFFFFFFFFFFFFFFFF48AAB689C29CA710279B", 2, + _EC_SECG_CHAR2_163R1_SEED, 20, + "SECG recommended curve over a 163 bit binary field" + }; + +static const unsigned char _EC_SECG_CHAR2_163R2_SEED[] = { + 0x85,0xE2,0x5B,0xFE,0x5C,0x86,0x22,0x6C,0xDB,0x12, + 0x01,0x6F,0x75,0x53,0xF9,0xD0,0xE6,0x93,0xA2,0x68}; +static const EC_CURVE_DATA _EC_SECG_CHAR2_163R2 ={ + NID_X9_62_characteristic_two_field, + "0800000000000000000000000000000000000000C9", + "1", + "020A601907B8C953CA1481EB10512F78744A3205FD", + "03F0EBA16286A2D57EA0991168D4994637E8343E36", + "00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1", + "040000000000000000000292FE77E70C12A4234C33", 2, + _EC_SECG_CHAR2_163R2_SEED, 20, + "SECG/NIST recommended curve over a 163 bit binary field" + }; + +static const unsigned char _EC_SECG_CHAR2_193R1_SEED[] = { + 0x10,0x3F,0xAE,0xC7,0x4D,0x69,0x6E,0x67,0x68,0x75, + 0x61,0x51,0x75,0x77,0x7F,0xC5,0xB1,0x91,0xEF,0x30}; +static const EC_CURVE_DATA _EC_SECG_CHAR2_193R1 = { + NID_X9_62_characteristic_two_field, + "02000000000000000000000000000000000000000000008001", + "0017858FEB7A98975169E171F77B4087DE098AC8A911DF7B01", + "00FDFB49BFE6C3A89FACADAA7A1E5BBC7CC1C2E5D831478814", + "01F481BC5F0FF84A74AD6CDF6FDEF4BF6179625372D8C0C5E1", + "0025E399F2903712CCF3EA9E3A1AD17FB0B3201B6AF7CE1B05", + "01000000000000000000000000C7F34A778F443ACC920EBA49", 2, + _EC_SECG_CHAR2_193R1_SEED, 20, + "SECG recommended curve over a 193 bit binary field" + }; + +static const unsigned char _EC_SECG_CHAR2_193R2_SEED[] = { + 0x10,0xB7,0xB4,0xD6,0x96,0xE6,0x76,0x87,0x56,0x15, + 0x17,0x51,0x37,0xC8,0xA1,0x6F,0xD0,0xDA,0x22,0x11}; +static const EC_CURVE_DATA _EC_SECG_CHAR2_193R2 = { + NID_X9_62_characteristic_two_field, + "02000000000000000000000000000000000000000000008001", + "0163F35A5137C2CE3EA6ED8667190B0BC43ECD69977702709B", + "00C9BB9E8927D4D64C377E2AB2856A5B16E3EFB7F61D4316AE", + "00D9B67D192E0367C803F39E1A7E82CA14A651350AAE617E8F", + "01CE94335607C304AC29E7DEFBD9CA01F596F927224CDECF6C", + "010000000000000000000000015AAB561B005413CCD4EE99D5", 2, + _EC_SECG_CHAR2_193R2_SEED, 20, + "SECG recommended curve over a 193 bit binary field" + }; + +static const EC_CURVE_DATA _EC_SECG_CHAR2_233K1 = { + NID_X9_62_characteristic_two_field, + "020000000000000000000000000000000000000004000000000000000001", + "0", + "1", + "017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126", + "01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3", + "008000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF", 4, + NULL, 0, + "SECG/NIST/WTLS recommended curve over a 233 bit binary field" + }; + +static const unsigned char _EC_SECG_CHAR2_233R1_SEED[] = { + 0x74,0xD5,0x9F,0xF0,0x7F,0x6B,0x41,0x3D,0x0E,0xA1, + 0x4B,0x34,0x4B,0x20,0xA2,0xDB,0x04,0x9B,0x50,0xC3}; +static const EC_CURVE_DATA _EC_SECG_CHAR2_233R1 = { + NID_X9_62_characteristic_two_field, + "020000000000000000000000000000000000000004000000000000000001", + "000000000000000000000000000000000000000000000000000000000001", + "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD", + "00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B", + "01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052", + "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7", 2, + _EC_SECG_CHAR2_233R1_SEED, 20, + "SECG/NIST/WTLS recommended curve over a 233 bit binary field" + }; + +static const EC_CURVE_DATA _EC_SECG_CHAR2_239K1 = { + NID_X9_62_characteristic_two_field, + "800000000000000000004000000000000000000000000000000000000001", + "0", + "1", + "29A0B6A887A983E9730988A68727A8B2D126C44CC2CC7B2A6555193035DC", + "76310804F12E549BDB011C103089E73510ACB275FC312A5DC6B76553F0CA", + "2000000000000000000000000000005A79FEC67CB6E91F1C1DA800E478A5", 4, + NULL, 0, + "SECG recommended curve over a 239 bit binary field" + }; + +static const EC_CURVE_DATA _EC_SECG_CHAR2_283K1 = { + NID_X9_62_characteristic_two_field, + "080000000000000000000000000000000000000000000000000000000000000000001" + "0A1", + "0", + "1", + "0503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2458492" + "836", + "01CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2" + "259", + "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163" + "C61", 4, + NULL, 20, + "SECG/NIST recommended curve over a 283 bit binary field" + }; + +static const unsigned char _EC_SECG_CHAR2_283R1_SEED[] = { + 0x77,0xE2,0xB0,0x73,0x70,0xEB,0x0F,0x83,0x2A,0x6D, + 0xD5,0xB6,0x2D,0xFC,0x88,0xCD,0x06,0xBB,0x84,0xBE}; +static const EC_CURVE_DATA _EC_SECG_CHAR2_283R1 = { + NID_X9_62_characteristic_two_field, + "080000000000000000000000000000000000000000000000000000000000000000001" + "0A1", + "000000000000000000000000000000000000000000000000000000000000000000000" + "001", + "027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A" + "2F5", + "05F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B12" + "053", + "03676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE811" + "2F4", + "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB" + "307", 2, + _EC_SECG_CHAR2_283R1_SEED, 20, + "SECG/NIST recommended curve over a 283 bit binary field" + }; + +static const EC_CURVE_DATA _EC_SECG_CHAR2_409K1 = { + NID_X9_62_char