diff options
Diffstat (limited to 'lib')
| -rw-r--r-- | lib/crypto/c_src/crypto.c | 138 | ||||
| -rw-r--r-- | lib/crypto/doc/src/crypto.xml | 45 | ||||
| -rw-r--r-- | lib/crypto/src/Makefile | 1 | ||||
| -rw-r--r-- | lib/crypto/src/crypto.app.src | 1 | ||||
| -rw-r--r-- | lib/crypto/src/crypto.erl | 15 | ||||
| -rw-r--r-- | lib/crypto/src/crypto_ec_curves.erl | 1215 | ||||
| -rw-r--r-- | lib/crypto/test/crypto_SUITE.erl | 93 | ||||
| -rw-r--r-- | lib/public_key/asn1/Makefile | 5 | ||||
| -rw-r--r-- | lib/public_key/asn1/OTP-PUB-KEY.set.asn | 1 | ||||
| -rw-r--r-- | lib/public_key/asn1/RFC5639.asn1 | 27 | ||||
| -rw-r--r-- | lib/public_key/src/pubkey_cert_records.erl | 30 | ||||
| -rw-r--r-- | lib/ssl/src/tls_v1.erl | 28 |
12 files changed, 1450 insertions, 149 deletions
diff --git a/lib/crypto/c_src/crypto.c b/lib/crypto/c_src/crypto.c index 310a741b0b..925ad0c091 100644 --- a/lib/crypto/c_src/crypto.c +++ b/lib/crypto/c_src/crypto.c @@ -384,100 +384,6 @@ static ErlNifFunc nif_funcs[] = { {"ecdh_compute_key_nif", 3, ecdh_compute_key_nif} }; -#if defined(HAVE_EC) -struct nid_map { - char *name; - int nid; - ERL_NIF_TERM atom; -}; - -static struct nid_map ec_curves[] = { - /* prime field curves */ - /* secg curves */ - { "secp112r1", NID_secp112r1 }, - { "secp112r2", NID_secp112r2 }, - { "secp128r1", NID_secp128r1 }, - { "secp128r2", NID_secp128r2 }, - { "secp160k1", NID_secp160k1 }, - { "secp160r1", NID_secp160r1 }, - { "secp160r2", NID_secp160r2 }, - /* SECG secp192r1 is the same as X9.62 prime192v1 */ - { "secp192r1", NID_X9_62_prime192v1 }, - { "secp192k1", NID_secp192k1 }, - { "secp224k1", NID_secp224k1 }, - { "secp224r1", NID_secp224r1 }, - { "secp256k1", NID_secp256k1 }, - /* SECG secp256r1 is the same as X9.62 prime256v1 */ - { "secp256r1", NID_X9_62_prime256v1 }, - { "secp384r1", NID_secp384r1 }, - { "secp521r1", NID_secp521r1 }, - /* X9.62 curves */ - { "prime192v1", NID_X9_62_prime192v1 }, - { "prime192v2", NID_X9_62_prime192v2 }, - { "prime192v3", NID_X9_62_prime192v3 }, - { "prime239v1", NID_X9_62_prime239v1 }, - { "prime239v2", NID_X9_62_prime239v2 }, - { "prime239v3", NID_X9_62_prime239v3 }, - { "prime256v1", NID_X9_62_prime256v1 }, - /* characteristic two field curves */ - /* NIST/SECG curves */ - { "sect113r1", NID_sect113r1 }, - { "sect113r2", NID_sect113r2 }, - { "sect131r1", NID_sect131r1 }, - { "sect131r2", NID_sect131r2 }, - { "sect163k1", NID_sect163k1 }, - { "sect163r1", NID_sect163r1 }, - { "sect163r2", NID_sect163r2 }, - { "sect193r1", NID_sect193r1 }, - { "sect193r2", NID_sect193r2 }, - { "sect233k1", NID_sect233k1 }, - { "sect233r1", NID_sect233r1 }, - { "sect239k1", NID_sect239k1 }, - { "sect283k1", NID_sect283k1 }, - { "sect283r1", NID_sect283r1 }, - { "sect409k1", NID_sect409k1 }, - { "sect409r1", NID_sect409r1 }, - { "sect571k1", NID_sect571k1 }, - { "sect571r1", NID_sect571r1 }, - /* X9.62 curves */ - { "c2pnb163v1", NID_X9_62_c2pnb163v1 }, - { "c2pnb163v2", NID_X9_62_c2pnb163v2 }, - { "c2pnb163v3", NID_X9_62_c2pnb163v3 }, - { "c2pnb176v1", NID_X9_62_c2pnb176v1 }, - { "c2tnb191v1", NID_X9_62_c2tnb191v1 }, - { "c2tnb191v2", NID_X9_62_c2tnb191v2 }, - { "c2tnb191v3", NID_X9_62_c2tnb191v3 }, - { "c2pnb208w1", NID_X9_62_c2pnb208w1 }, - { "c2tnb239v1", NID_X9_62_c2tnb239v1 }, - { "c2tnb239v2", NID_X9_62_c2tnb239v2 }, - { "c2tnb239v3", NID_X9_62_c2tnb239v3 }, - { "c2pnb272w1", NID_X9_62_c2pnb272w1 }, - { "c2pnb304w1", NID_X9_62_c2pnb304w1 }, - { "c2tnb359v1", NID_X9_62_c2tnb359v1 }, - { "c2pnb368w1", NID_X9_62_c2pnb368w1 }, - { "c2tnb431r1", NID_X9_62_c2tnb431r1 }, - /* the WAP/WTLS curves - * [unlike SECG, spec has its own OIDs for curves from X9.62] */ - { "wtls1", NID_wap_wsg_idm_ecid_wtls1 }, - { "wtls3", NID_wap_wsg_idm_ecid_wtls3 }, - { "wtls4", NID_wap_wsg_idm_ecid_wtls4 }, - { "wtls5", NID_wap_wsg_idm_ecid_wtls5 }, - { "wtls6", NID_wap_wsg_idm_ecid_wtls6 }, - { "wtls7", NID_wap_wsg_idm_ecid_wtls7 }, - { "wtls8", NID_wap_wsg_idm_ecid_wtls8 }, - { "wtls9", NID_wap_wsg_idm_ecid_wtls9 }, - { "wtls10", NID_wap_wsg_idm_ecid_wtls10 }, - { "wtls11", NID_wap_wsg_idm_ecid_wtls11 }, - { "wtls12", NID_wap_wsg_idm_ecid_wtls12 }, - /* IPSec curves */ - { "ipsec3", NID_ipsec3 }, - { "ipsec4", NID_ipsec4 } -}; - -#define EC_CURVES_CNT (sizeof(ec_curves)/sizeof(struct nid_map)) - -#endif /* HAVE_EC */ - ERL_NIF_INIT(crypto,nif_funcs,load,NULL,upgrade,unload) @@ -632,12 +538,6 @@ static int init(ErlNifEnv* env, ERL_NIF_TERM load_info) atom_tpbasis = enif_make_atom(env,"tpbasis"); atom_ppbasis = enif_make_atom(env,"ppbasis"); atom_onbasis = enif_make_atom(env,"onbasis"); - - { - int i; - for (i = 0; i < EC_CURVES_CNT; i++) - ec_curves[i].atom = enif_make_atom(env,ec_curves[i].name); - } #endif init_digest_types(env); @@ -725,7 +625,7 @@ static void unload(ErlNifEnv* env, void* priv_data) static int algo_hash_cnt; static ERL_NIF_TERM algo_hash[8]; /* increase when extending the list */ static int algo_pubkey_cnt; -static ERL_NIF_TERM algo_pubkey[2]; /* increase when extending the list */ +static ERL_NIF_TERM algo_pubkey[3]; /* increase when extending the list */ static int algo_cipher_cnt; static ERL_NIF_TERM algo_cipher[2]; /* increase when extending the list */ @@ -751,6 +651,9 @@ static void init_algorithms_types(ErlNifEnv* env) algo_pubkey_cnt = 0; #if defined(HAVE_EC) +#if !defined(OPENSSL_NO_EC2M) + algo_pubkey[algo_pubkey_cnt++] = enif_make_atom(env,"ec_gf2m"); +#endif algo_pubkey[algo_pubkey_cnt++] = enif_make_atom(env,"ecdsa"); algo_pubkey[algo_pubkey_cnt++] = enif_make_atom(env,"ecdh"); #endif @@ -2962,21 +2865,9 @@ static ERL_NIF_TERM blowfish_ofb64_encrypt(ErlNifEnv* env, int argc, const ERL_N } #if defined(HAVE_EC) -static int term2curve_id(ERL_NIF_TERM nid) -{ - int i; - - for (i = 0; i < EC_CURVES_CNT; i++) - if (ec_curves[i].atom == nid) - return ec_curves[i].nid; - - return 0; -} - static EC_KEY* ec_key_new(ErlNifEnv* env, ERL_NIF_TERM curve_arg) { EC_KEY *key = NULL; - int nid = 0; int c_arity = -1; const ERL_NIF_TERM* curve; ErlNifBinary seed; @@ -2988,18 +2879,12 @@ static EC_KEY* ec_key_new(ErlNifEnv* env, ERL_NIF_TERM curve_arg) EC_GROUP *group = NULL; EC_POINT *point = NULL; - if (enif_is_atom(env, curve_arg)) { - nid = term2curve_id(curve_arg); - if (nid == 0) - return NULL; - key = EC_KEY_new_by_curve_name(nid); - } - else if (enif_is_tuple(env, curve_arg) - && enif_get_tuple(env,curve_arg,&c_arity,&curve) - && c_arity == 5 - && get_bn_from_bin(env, curve[3], &bn_order) - && (curve[4] != atom_none && get_bn_from_bin(env, curve[4], &cofactor))) { - /* {Field, Prime, Point, Order, CoFactor} = Curve */ + /* {Field, Prime, Point, Order, CoFactor} = Curve */ + if (enif_is_tuple(env, curve_arg) + && enif_get_tuple(env,curve_arg,&c_arity,&curve) + && c_arity == 5 + && get_bn_from_bin(env, curve[3], &bn_order) + && (curve[4] != atom_none && get_bn_from_bin(env, curve[4], &cofactor))) { int f_arity = -1; const ERL_NIF_TERM* field; @@ -3033,6 +2918,8 @@ static EC_KEY* ec_key_new(ErlNifEnv* env, ERL_NIF_TERM curve_arg) /* create the EC_GROUP structure */ group = EC_GROUP_new_curve_GFp(p, a, b, NULL); +#if !defined(OPENSSL_NO_EC2M) + } else if (f_arity == 3 && field[0] == atom_characteristic_two_field) { /* {characteristic_two_field, M, Basis} */ @@ -3091,6 +2978,7 @@ static EC_KEY* ec_key_new(ErlNifEnv* env, ERL_NIF_TERM curve_arg) goto out_err; group = EC_GROUP_new_curve_GF2m(p, a, b, NULL); +#endif } else goto out_err; diff --git a/lib/crypto/doc/src/crypto.xml b/lib/crypto/doc/src/crypto.xml index 406fd5e59a..aa60bba96a 100644 --- a/lib/crypto/doc/src/crypto.xml +++ b/lib/crypto/doc/src/crypto.xml @@ -99,7 +99,9 @@ <p><code>ecdh_private() = key_value() </code></p> - <p><code>ecdh_params() = ec_named_curve() | + <p><code>ecdh_params() = ec_named_curve() | ec_explicit_curve()</code></p> + + <p><code>ec_explicit_curve() = {ec_field(), Prime :: key_value(), Point :: key_value(), Order :: integer(), CoFactor :: none | integer()} </code></p> <p><code>ec_field() = {prime_field, Prime :: integer()} | @@ -114,7 +116,15 @@ secp192k1| secp160r2| secp128r2| secp128r1| sect233r1| sect233k1| sect193r2| sect193r1| sect131r2| sect131r1| sect283r1| sect283k1| sect163r2| secp256k1| secp160k1| secp160r1| secp112r2| secp112r1| sect113r2| sect113r1| sect239k1| sect163r1| sect163k1| secp256r1| - secp192r1 </code></p> + secp192r1| + brainpoolP160r1| brainpoolP160t1| brainpoolP192r1| brainpoolP192t1| brainpoolP224r1| + brainpoolP224t1| brainpoolP256r1| brainpoolP256t1| brainpoolP320r1| brainpoolP320t1| + brainpoolP384r1| brainpoolP384t1| brainpoolP512r1| brainpoolP512t1 + </code> + Note that the <em>sect</em> curves are GF2m (characteristic two) curves and are only supported if the + underlying OpenSSL has support for them. + See also <seealso marker="#supports-0">crypto:supports/0</seealso> + </p> <p><code>stream_cipher() = rc4 | aes_ctr </code></p> @@ -143,8 +153,11 @@ </p> <p><code> cipher_algorithms() = des_cbc | des_cfb | des3_cbc | des3_cbf | des_ede3 | blowfish_cbc | blowfish_cfb64 | aes_cbc128 | aes_cfb128| aes_cbc256 | aes_ige256 | rc2_cbc | aes_ctr| rc4 </code> </p> - <p><code> public_key_algorithms() = rsa |dss | ecdsa | dh | ecdh </code> </p> - + <p><code> public_key_algorithms() = rsa |dss | ecdsa | dh | ecdh | ec_gf2m</code> + Note that ec_gf2m is not strictly a public key algorithm, but a restriction on what curves are supported + with ecdsa and ecdh. + </p> + </section> <funcs> @@ -680,7 +693,29 @@ </desc> </func> - + <func> + <name>ec_curves() -> EllipticCurveList </name> + <fsummary>Provide a list of available named elliptic curves.</fsummary> + <type> + <v>EllipticCurveList = [ec_named_curve()]</v> + </type> + <desc> + <p>Can be used to determine which named elliptic curves are supported.</p> + </desc> + </func> + + <func> + <name>ec_curve(NamedCurve) -> EllipticCurve </name> + <fsummary>Get the defining parameters of a elliptic curve.</fsummary> + <type> + <v>NamedCurve = ec_named_curve()</v> + <v>EllipticCurve = ec_explicit_curve()</v> + </type> + <desc> + <p>Return the defining parameters of a elliptic curve.</p> + </desc> + </func> + <func> <name>verify(Algorithm, DigestType, Msg, Signature, Key) -> boolean()</name> <fsummary>Verifies a digital signature.</fsummary> diff --git a/lib/crypto/src/Makefile b/lib/crypto/src/Makefile index 574c2076f2..eabfd676c5 100644 --- a/lib/crypto/src/Makefile +++ b/lib/crypto/src/Makefile @@ -37,6 +37,7 @@ RELSYSDIR = $(RELEASE_PATH)/lib/crypto-$(VSN) MODULES= \ crypto_app \ crypto \ + crypto_ec_curves \ crypto_server \ crypto_sup diff --git a/lib/crypto/src/crypto.app.src b/lib/crypto/src/crypto.app.src index 5548b6a1b5..161ea7c9fe 100644 --- a/lib/crypto/src/crypto.app.src +++ b/lib/crypto/src/crypto.app.src @@ -20,6 +20,7 @@ [{description, "CRYPTO version 2"}, {vsn, "%VSN%"}, {modules, [crypto, + crypto_ec_curves, crypto_app, crypto_sup, crypto_server]}, diff --git a/lib/crypto/src/crypto.erl b/lib/crypto/src/crypto.erl index 12ff060bf9..d953bd3bca 100644 --- a/lib/crypto/src/crypto.erl +++ b/lib/crypto/src/crypto.erl @@ -34,6 +34,7 @@ -export([public_encrypt/4, private_decrypt/4]). -export([private_encrypt/4, public_decrypt/4]). -export([dh_generate_parameters/2, dh_check/1]). %% Testing see +-export([ec_curve/1, ec_curves/0]). %% DEPRECATED %% Replaced by hash_* @@ -557,7 +558,7 @@ generate_key(srp, {user, [Generator, Prime, Version]}, PrivateArg) user_srp_gen_key(Private, Generator, Prime); generate_key(ecdh, Curve, undefined) -> - ec_key_generate(Curve). + ec_key_generate(nif_curve_params(Curve)). compute_key(dh, OthersPublicKey, MyPrivateKey, DHParameters) -> @@ -1502,21 +1503,27 @@ ec_key_generate(_Key) -> ?nif_stub. ecdh_compute_key_nif(_Others, _Curve, _My) -> ?nif_stub. +ec_curves() -> + crypto_ec_curves:curves(). + +ec_curve(X) -> + crypto_ec_curves:curve(X). + %% %% EC %% term_to_nif_prime({prime_field, Prime}) -> - {prime_field, int_to_bin(Prime)}; + {prime_field, ensure_int_as_bin(Prime)}; term_to_nif_prime(PrimeField) -> PrimeField. term_to_nif_curve({A, B, Seed}) -> {ensure_int_as_bin(A), ensure_int_as_bin(B), Seed}. nif_curve_params({PrimeField, Curve, BasePoint, Order, CoFactor}) -> - {term_to_nif_prime(PrimeField), term_to_nif_curve(Curve), ensure_int_as_bin(BasePoint), int_to_bin(Order), int_to_bin(CoFactor)}; + {term_to_nif_prime(PrimeField), term_to_nif_curve(Curve), ensure_int_as_bin(BasePoint), ensure_int_as_bin(Order), ensure_int_as_bin(CoFactor)}; nif_curve_params(Curve) when is_atom(Curve) -> %% named curve - Curve. + crypto_ec_curves:curve(Curve). %% MISC -------------------------------------------------------------------- diff --git a/lib/crypto/src/crypto_ec_curves.erl b/lib/crypto/src/crypto_ec_curves.erl new file mode 100644 index 0000000000..fe17643d96 --- /dev/null +++ b/lib/crypto/src/crypto_ec_curves.erl @@ -0,0 +1,1215 @@ +-module(crypto_ec_curves). + +-export([curve/1, curves/0]). + +curves() -> + CryptoSupport = crypto:supports(), + HasGF2m = proplists:get_bool(ec_gf2m, proplists:get_value(public_keys, CryptoSupport)), + prime_curves() ++ characteristic_two_curves(HasGF2m). + + +prime_curves() -> + [secp112r1,secp112r2,secp128r1,secp128r2,secp160k1,secp160r1,secp160r2, + secp192r1,secp192k1,secp224k1,secp224r1,secp256k1,secp256r1,secp384r1, + secp521r1,prime192v1,prime192v2,prime192v3,prime239v1,prime239v2,prime239v3, + prime256v1,wtls6,wtls7,wtls8,wtls9,wtls12, + brainpoolP160r1,brainpoolP160t1,brainpoolP192r1,brainpoolP192t1, + brainpoolP224r1,brainpoolP224t1,brainpoolP256r1,brainpoolP256t1, + brainpoolP320r1,brainpoolP320t1,brainpoolP384r1,brainpoolP384t1, + brainpoolP512r1,brainpoolP512t1]. + +characteristic_two_curves(true) -> + [sect113r1,sect113r2,sect131r1,sect131r2,sect163k1,sect163r1, + sect163r2,sect193r1,sect193r2,sect233k1,sect233r1,sect239k1,sect283k1, + sect283r1,sect409k1,sect409r1,sect571k1,sect571r1,c2pnb163v1,c2pnb163v2, + c2pnb163v3,c2pnb176v1,c2tnb191v1,c2tnb191v2,c2tnb191v3,c2pnb208w1,c2tnb239v1, + c2tnb239v2,c2tnb239v3,c2pnb272w1,c2pnb304w1,c2tnb359v1,c2pnb368w1,c2tnb431r1, + wtls1,wtls3,wtls4,wtls5,wtls10,wtls11,ipsec3,ipsec4]; +characteristic_two_curves(_) -> + []. + +curve(secp112r1) -> + { + {prime_field, <<16#DB7C2ABF62E35E668076BEAD208B:112>>}, %% Prime + {<<16#DB7C2ABF62E35E668076BEAD2088:112>>, %% A + <<16#659EF8BA043916EEDE8911702B22:112>>, %% B + <<16#00F50B028E4D696E676875615175290472783FB1:160>>}, %% Seed + <<16#04:8, + 16#09487239995A5EE76B55F9C2F098:112, %% X(p0) + 16#A89CE5AF8724C0A23E0E0FF77500:112>>, %% Y(p0) + <<16#DB7C2ABF62E35E7628DFAC6561C5:112>>, %% Order + <<16#01:8>> %% CoFactor + }; + +curve(secp112r2) -> + { + {prime_field, <<16#DB7C2ABF62E35E668076BEAD208B:112>>}, %% Prime + {<<16#6127C24C05F38A0AAAF65C0EF02C:112>>, %% A + <<16#51DEF1815DB5ED74FCC34C85D709:112>>, %% B + <<16#002757A1114D696E6768756151755316C05E0BD4:160>>}, %% Seed + <<16#04:8, + 16#4BA30AB5E892B4E1649DD0928643:112, %% X(p0) + 16#ADCD46F5882E3747DEF36E956E97:112>>, %% Y(p0) + <<16#36DF0AAFD8B8D7597CA10520D04B:112>>, %% Order + <<16#04:8>> %% CoFactor + }; + +curve(secp128r1) -> + { + {prime_field, <<16#FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF:128>>}, %% Prime + {<<16#FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFC:128>>, %% A + <<16#E87579C11079F43DD824993C2CEE5ED3:128>>, %% B + <<16#000E0D4D696E6768756151750CC03A4473D03679:160>>}, %% Seed + <<16#04:8, + 16#161FF7528B899B2D0C28607CA52C5B86:128, %% X(p0) + 16#CF5AC8395BAFEB13C02DA292DDED7A83:128>>, %% Y(p0) + <<16#FFFFFFFE0000000075A30D1B9038A115:128>>, %% Order + <<16#01:8>> %% CoFactor + }; + +curve(secp128r2) -> + { + {prime_field, <<16#FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF:128>>}, %% Prime + {<<16#D6031998D1B3BBFEBF59CC9BBFF9AEE1:128>>, %% A + <<16#5EEEFCA380D02919DC2C6558BB6D8A5D:128>>, %% B + <<16#004D696E67687561517512D8F03431FCE63B88F4:160>>}, %% Seed + <<16#04:8, + 16#7B6AA5D85E572983E6FB32A7CDEBC140:128, %% X(p0) + 16#27B6916A894D3AEE7106FE805FC34B44:128>>, %% Y(p0) + <<16#3FFFFFFF7FFFFFFFBE0024720613B5A3:128>>, %% Order + <<16#04:8>> %% CoFactor + }; + +curve(secp160k1) -> + { + {prime_field, <<16#FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73:160>>}, %% Prime + {<<16#00:8>>, %% A + <<16#07:8>>, %% B + none}, %% Seed + <<16#04:8, + 16#3B4C382CE37AA192A4019E763036F4F5DD4D7EBB:160, %% X(p0) + 16#938CF935318FDCED6BC28286531733C3F03C4FEE:160>>, %% Y(p0) + <<16#0100000000000000000001B8FA16DFAB9ACA16B6B3:168>>, %% Order + <<16#01:8>> %% CoFactor + }; + +curve(secp160r1) -> + { + {prime_field, <<16#FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF:160>>}, %% Prime + {<<16#FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC:160>>, %% A + <<16#1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45:160>>, %% B + <<16#1053CDE42C14D696E67687561517533BF3F83345:160>>}, %% Seed + <<16#04:8, + 16#4A96B5688EF573284664698968C38BB913CBFC82:160, %% X(p0) + 16#23A628553168947D59DCC912042351377AC5FB32:160>>, %% Y(p0) + <<16#0100000000000000000001F4C8F927AED3CA752257:168>>, %% Order + <<16#01:8>> %% CoFactor + }; + +curve(secp160r2) -> + { + {prime_field, <<16#FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73:160>>}, %% Prime + {<<16#FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC70:160>>, %% A + <<16#B4E134D3FB59EB8BAB57274904664D5AF50388BA:160>>, %% B + <<16#B99B99B099B323E02709A4D696E6768756151751:160>>}, %% Seed + <<16#04:8, + 16#52DCB034293A117E1F4FF11B30F7199D3144CE6D:160, %% X(p0) + 16#FEAFFEF2E331F296E071FA0DF9982CFEA7D43F2E:160>>, %% Y(p0) + <<16#0100000000000000000000351EE786A818F3A1A16B:168>>, %% Order + <<16#01:8>> %% CoFactor + }; + +curve(secp192r1) -> + { + {prime_field, <<16#FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF:192>>}, %% Prime + {<<16#FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC:192>>, %% A + <<16#64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1:192>>, %% B + <<16#3045AE6FC8422F64ED579528D38120EAE12196D5:160>>}, %% Seed + <<16#04:8, + 16#188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012:192, %% X(p0) + 16#07192B95FFC8DA78631011ED6B24CDD573F977A11E794811:192>>, %% Y(p0) + <<16#FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831:192>>, %% Order + <<16#01:8>> %% CoFactor + }; + +curve(secp192k1) -> + { + {prime_field, <<16#FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFEE37:192>>}, %% Prime + {<<16#00:8>>, %% A + <<16#03:8>>, %% B + none}, %% Seed + <<16#04:8, + 16#DB4FF10EC057E9AE26B07D0280B7F4341DA5D1B1EAE06C7D:192, %% X(p0) + 16#9B2F2F6D9C5628A7844163D015BE86344082AA88D95E2F9D:192>>, %% Y(p0) + <<16#FFFFFFFFFFFFFFFFFFFFFFFE26F2FC170F69466A74DEFD8D:192>>, %% Order + <<16#01:8>> %% CoFactor + }; + +curve(secp224k1) -> + { + {prime_field, <<16#FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFE56D:224>>}, %% Prime + {<<16#00:8>>, %% A + <<16#05:8>>, %% B + none}, %% Seed + <<16#04:8, + 16#A1455B334DF099DF30FC28A169A467E9E47075A90F7E650EB6B7A45C:224, %% X(p0) + 16#7E089FED7FBA344282CAFBD6F7E319F7C0B0BD59E2CA4BDB556D61A5:224>>, %% Y(p0) + <<16#010000000000000000000000000001DCE8D2EC6184CAF0A971769FB1F7:232>>, %% Order + <<16#01:8>> %% CoFactor + }; + +curve(secp224r1) -> + { + {prime_field, <<16#FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001:224>>}, %% Prime + {<<16#FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE:224>>, %% A + <<16#B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4:224>>, %% B + <<16#BD71344799D5C7FCDC45B59FA3B9AB8F6A948BC5:160>>}, %% Seed + <<16#04:8, + 16#B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21:224, %% X(p0) + 16#BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34:224>>, %% Y(p0) + <<16#FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D:224>>, %% Order + <<16#01:8>> %% CoFactor + }; + +curve(secp256k1) -> + { + {prime_field, <<16#FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F:256>>}, %% Prime + {<<16#00:8>>, %% A + <<16#07:8>>, %% B + none}, %% Seed + <<16#04:8, + 16#79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798:256, %% X(p0) + 16#483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8:256>>, %% Y(p0) + <<16#FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141:256>>, %% Order + <<16#01:8>> %% CoFactor + }; + +curve(secp256r1) -> + { + {prime_field, <<16#FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF:256>>}, %% Prime + {<<16#FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC:256>>, %% A + <<16#5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B:256>>, %% B + <<16#C49D360886E704936A6678E1139D26B7819F7E90:160>>}, %% Seed + <<16#04:8, + 16#6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296:256, %% X(p0) + 16#4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5:256>>, %% Y(p0) + <<16#FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551:256>>, %% Order + <<16#01:8>> %% CoFactor + }; + +curve(secp384r1) -> + { + {prime_field, <<16#FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE:256, %% Prime + 16#FFFFFFFF0000000000000000FFFFFFFF:128>>}, + {<<16#FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE:256, %% A + 16#FFFFFFFF0000000000000000FFFFFFFC:128>>, + <<16#B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141120314088F5013875A:256, %% B + 16#C656398D8A2ED19D2A85C8EDD3EC2AEF:128>>, + <<16#A335926AA319A27A1D00896A6773A4827ACDAC73:160>>}, %% Seed + <<16#04:8, + 16#AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B9859F741E082542A38:256, %% X(p0) + 16#5502F25DBF55296C3A545E3872760AB7:128, + 16#3617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A147CE9DA3113B5F0B8C0:256, %% Y(p0) + 16#0A60B1CE1D7E819D7A431D7C90EA0E5F:128>>, + <<16#FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC7634D81F4372DDF:256, %% Order + 16#581A0DB248B0A77AECEC196ACCC52973:128>>, + <<16#01:8>> %% CoFactor + }; + +curve(secp521r1) -> + { + {prime_field, <<16#01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF:256, %% Prime + 16#FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF:256, + 16#FFFF:16>>}, + {<<16#01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF:256, %% A + 16#FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF:256, + 16#FFFC:16>>, + <<16#51953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B315F3B8B489918EF109:256, %% B + 16#E156193951EC7E937B1652C0BD3BB1BF073573DF883D2C34F1EF451FD46B503F:256, + 16#00:8>>, + <<16#D09E8800291CB85396CC6717393284AAA0DA64BA:160>>}, %% Seed + <<16#04:8, + 16#00C6858E06B70404E9CD9E3ECB662395B4429C648139053FB521F828AF606B4D:256, %% X(p0) + 16#3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B3C1856A429BF97E7E31C2E5:256, + 16#BD66:16, + 16#011839296A789A3BC0045C8A5FB42C7D1BD998F54449579B446817AFBD17273E:256, %% Y(p0) + 16#662C97EE72995EF42640C550B9013FAD0761353C7086A272C24088BE94769FD1:256, + 16#6650:16>>, + <<16#01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF:256, %% Order + 16#FFFA51868783BF2F966B7FCC0148F709A5D03BB5C9B8899C47AEBB6FB71E9138:256, + 16#6409:16>>, + <<16#01:8>> %% CoFactor + }; + +curve(prime192v1) -> + { + {prime_field, <<16#FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF:192>>}, %% Prime + {<<16#FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC:192>>, %% A + <<16#64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1:192>>, %% B + <<16#3045AE6FC8422F64ED579528D38120EAE12196D5:160>>}, %% Seed + <<16#04:8, + 16#188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012:192, %% X(p0) + 16#07192B95FFC8DA78631011ED6B24CDD573F977A11E794811:192>>, %% Y(p0) + <<16#FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831:192>>, %% Order + <<16#01:8>> %% CoFactor + }; + +curve(prime192v2) -> + { + {prime_field, <<16#FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF:192>>}, %% Prime + {<<16#FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC:192>>, %% A + <<16#CC22D6DFB95C6B25E49C0D6364A4E5980C393AA21668D953:192>>, %% B + <<16#31A92EE2029FD10D901B113E990710F0D21AC6B6:160>>}, %% Seed + <<16#04:8, + 16#EEA2BAE7E1497842F2DE7769CFE9C989C072AD696F48034A:192, %% X(p0) + 16#6574D11D69B6EC7A672BB82A083DF2F2B0847DE970B2DE15:192>>, %% Y(p0) + <<16#FFFFFFFFFFFFFFFFFFFFFFFE5FB1A724DC80418648D8DD31:192>>, %% Order + <<16#01:8>> %% CoFactor + }; + +curve(prime192v3) -> + { + {prime_field, <<16#FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF:192>>}, %% Prime + {<<16#FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC:192>>, %% A + <<16#22123DC2395A05CAA7423DAECCC94760A7D462256BD56916:192>>, %% B + <<16#C469684435DEB378C4B65CA9591E2A5763059A2E:160>>}, %% Seed + <<16#04:8, + 16#7D29778100C65A1DA1783716588DCE2B8B4AEE8E228F1896:192, %% X(p0) + 16#38A90F22637337334B49DCB66A6DC8F9978ACA7648A943B0:192>>, %% Y(p0) + <<16#FFFFFFFFFFFFFFFFFFFFFFFF7A62D031C83F4294F640EC13:192>>, %% Order + <<16#01:8>> %% CoFactor + }; + +curve(prime239v1) -> + { + {prime_field, <<16#7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF:240>>}, %% Prime + {<<16#7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC:240>>, %% A + <<16#6B016C3BDCF18941D0D654921475CA71A9DB2FB27D1D37796185C2942C0A:240>>, %% B + <<16#E43BB460F0B80CC0C0B075798E948060F8321B7D:160>>}, %% Seed + <<16#04:8, + 16#0FFA963CDCA8816CCC33B8642BEDF905C3D358573D3F27FBBD3B3CB9AAAF:240, %% X(p0) + 16#7DEBE8E4E90A5DAE6E4054CA530BA04654B36818CE226B39FCCB7B02F1AE:240>>, %% Y(p0) + <<16#7FFFFFFFFFFFFFFFFFFFFFFF7FFFFF9E5E9A9F5D9071FBD1522688909D0B:240>>, %% Order + <<16#01:8>> %% CoFactor + }; + +curve(prime239v2) -> + { + {prime_field, <<16#7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF:240>>}, %% Prime + {<<16#7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC:240>>, %% A + <<16#617FAB6832576CBBFED50D99F0249C3FEE58B94BA0038C7AE84C8C832F2C:240>>, %% B + <<16#E8B4011604095303CA3B8099982BE09FCB9AE616:160>>}, %% Seed + <<16#04:8, + 16#38AF09D98727705120C921BB5E9E26296A3CDCF2F35757A0EAFD87B830E7:240, %% X(p0) + 16#5B0125E4DBEA0EC7206DA0FC01D9B081329FB555DE6EF460237DFF8BE4BA:240>>, %% Y(p0) + <<16#7FFFFFFFFFFFFFFFFFFFFFFF800000CFA7E8594377D414C03821BC582063:240>>, %% Order + <<16#01:8>> %% CoFactor + }; + +curve(prime239v3) -> + { + {prime_field, <<16#7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFF:240>>}, %% Prime + {<<16#7FFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFFFFF8000000000007FFFFFFFFFFC:240>>, %% A + <<16#255705FA2A306654B1F4CB03D6A750A30C250102D4988717D9BA15AB6D3E:240>>, %% B + <<16#7D7374168FFE3471B60A857686A19475D3BFA2FF:160>>}, %% Seed + <<16#04:8, + 16#6768AE8E18BB92CFCF005C949AA2C6D94853D0E660BBF854B1C9505FE95A:240, %% X(p0) + 16#1607E6898F390C06BC1D552BAD226F3B6FCFE48B6E818499AF18E3ED6CF3:240>>, %% Y(p0) + <<16#7FFFFFFFFFFFFFFFFFFFFFFF7FFFFF975DEB41B3A6057C3C432146526551:240>>, %% Order + <<16#01:8>> %% CoFactor + }; + +curve(prime256v1) -> + { + {prime_field, <<16#FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF:256>>}, %% Prime + {<<16#FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC:256>>, %% A + <<16#5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B:256>>, %% B + <<16#C49D360886E704936A6678E1139D26B7819F7E90:160>>}, %% Seed + <<16#04:8, + 16#6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296:256, %% X(p0) + 16#4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5:256>>, %% Y(p0) + <<16#FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551:256>>, %% Order + <<16#01:8>> %% CoFactor + }; + +curve(sect113r1) -> + { + {characteristic_two_field, 113, {tpbasis,9}}, + {<<16#3088250CA6E7C7FE649CE85820F7:112>>, %% A + <<16#E8BEE4D3E2260744188BE0E9C723:112>>, %% B + <<16#10E723AB14D696E6768756151756FEBF8FCB49A9:160>>}, %% Seed + <<16#04:8, + 16#009D73616F35F4AB1407D73562C10F:120, %% X(p0) + 16#00A52830277958EE84D1315ED31886:120>>, %% Y(p0) + <<16#0100000000000000D9CCEC8A39E56F:120>>, %% Order + <<16#02:8>> %% CoFactor + }; + +curve(sect113r2) -> + { + {characteristic_two_field, 113, {tpbasis,9}}, + {<<16#689918DBEC7E5A0DD6DFC0AA55C7:112>>, %% A + <<16#95E9A9EC9B297BD4BF36E059184F:112>>, %% B + <<16#10C0FB15760860DEF1EEF4D696E676875615175D:160>>}, %% Seed + <<16#04:8, + 16#01A57A6A7B26CA5EF52FCDB8164797:120, %% X(p0) + 16#00B3ADC94ED1FE674C06E695BABA1D:120>>, %% Y(p0) + <<16#010000000000000108789B2496AF93:120>>, %% Order + <<16#02:8>> %% CoFactor + }; + +curve(sect131r1) -> + { + {characteristic_two_field, 131, {ppbasis,2,3,8}}, + {<<16#07A11B09A76B562144418FF3FF8C2570B8:136>>, %% A + <<16#0217C05610884B63B9C6C7291678F9D341:136>>, %% B + <<16#4D696E676875615175985BD3ADBADA21B43A97E2:160>>}, %% Seed + <<16#04:8, + 16#0081BAF91FDF9833C40F9C181343638399:136, %% X(p0) + 16#078C6E7EA38C001F73C8134B1B4EF9E150:136>>, %% Y(p0) + <<16#0400000000000000023123953A9464B54D:136>>, %% Order + <<16#02:8>> %% CoFactor + }; + +curve(sect131r2) -> + { + {characteristic_two_field, 131, {ppbasis,2,3,8}}, + {<<16#03E5A88919D7CAFCBF415F07C2176573B2:136>>, %% A + <<16#04B8266A46C55657AC734CE38F018F2192:136>>, %% B + <<16#985BD3ADBAD4D696E676875615175A21B43A97E3:160>>}, %% Seed + <<16#04:8, + 16#0356DCD8F2F95031AD652D23951BB366A8:136, %% X(p0) + 16#0648F06D867940A5366D9E265DE9EB240F:136>>, %% Y(p0) + <<16#0400000000000000016954A233049BA98F:136>>, %% Order + <<16#02:8>> %% CoFactor + }; + +curve(sect163k1) -> + { + {characteristic_two_field, 163, {ppbasis,3,6,7}}, + {<<16#01:8>>, %% A + <<16#01:8>>, %% B + none}, %% Seed + <<16#04:8, + 16#02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8:168, %% X(p0) + 16#0289070FB05D38FF58321F2E800536D538CCDAA3D9:168>>, %% Y(p0) + <<16#04000000000000000000020108A2E0CC0D99F8A5EF:168>>, %% Order + <<16#02:8>> %% CoFactor + }; + +curve(sect163r1) -> + { + {characteristic_two_field, 163, {ppbasis,3,6,7}}, + {<<16#07B6882CAAEFA84F9554FF8428BD88E246D2782AE2:168>>, %% A + <<16#0713612DCDDCB40AAB946BDA29CA91F73AF958AFD9:168>>, %% B + none}, %% Seed + <<16#04:8, + 16#0369979697AB43897789566789567F787A7876A654:168, %% X(p0) + 16#00435EDB42EFAFB2989D51FEFCE3C80988F41FF883:168>>, %% Y(p0) + <<16#03FFFFFFFFFFFFFFFFFFFF48AAB689C29CA710279B:168>>, %% Order + <<16#02:8>> %% CoFactor + }; + +curve(sect163r2) -> + { + {characteristic_two_field, 163, {ppbasis,3,6,7}}, + {<<16#01:8>>, %% A + <<16#020A601907B8C953CA1481EB10512F78744A3205FD:168>>, %% B + none}, %% Seed + <<16#04:8, + 16#03F0EBA16286A2D57EA0991168D4994637E8343E36:168, %% X(p0) + 16#00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1:168>>, %% Y(p0) + <<16#040000000000000000000292FE77E70C12A4234C33:168>>, %% Order + <<16#02:8>> %% CoFactor + }; + +curve(sect193r1) -> + { + {characteristic_two_field, 193, {tpbasis,15}}, + {<<16#17858FEB7A98975169E171F77B4087DE098AC8A911DF7B01:192>>, %% A + <<16#FDFB49BFE6C3A89FACADAA7A1E5BBC7CC1C2E5D831478814:192>>, %% B + <<16#103FAEC74D696E676875615175777FC5B191EF30:160>>}, %% Seed + <<16#04:8, + 16#01F481BC5F0FF84A74AD6CDF6FDEF4BF6179625372D8C0C5E1:200, %% X(p0) + 16#0025E399F2903712CCF3EA9E3A1AD17FB0B3201B6AF7CE1B05:200>>, %% Y(p0) + <<16#01000000000000000000000000C7F34A778F443ACC920EBA49:200>>, %% Order + <<16#02:8>> %% CoFactor + }; + +curve(sect193r2) -> + { + {characteristic_two_field, 193, {tpbasis,15}}, + {<<16#0163F35A5137C2CE3EA6ED8667190B0BC43ECD69977702709B:200>>, %% A + <<16#C9BB9E8927D4D64C377E2AB2856A5B16E3EFB7F61D4316AE:192>>, %% B + <<16#10B7B4D696E676875615175137C8A16FD0DA2211:160>>}, %% Seed + <<16#04:8, + 16#00D9B67D192E0367C803F39E1A7E82CA14A651350AAE617E8F:200, %% X(p0) + 16#01CE94335607C304AC29E7DEFBD9CA01F596F927224CDECF6C:200>>, %% Y(p0) + <<16#010000000000000000000000015AAB561B005413CCD4EE99D5:200>>, %% Order + <<16#02:8>> %% CoFactor + }; + +curve(sect233k1) -> + { + {characteristic_two_field, 233, {tpbasis,74}}, + {<<16#00:8>>, %% A + <<16#01:8>>, %% B + none}, %% Seed + <<16#04:8, + 16#017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126:240, %% X(p0) + 16#01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3:240>>, %% Y(p0) + <<16#8000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF:232>>, %% Order + <<16#04:8>> %% CoFactor + }; + +curve(sect233r1) -> + { + {characteristic_two_field, 233, {tpbasis,74}}, + {<<16#01:8>>, %% A + <<16#66647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD:232>>, %% B + <<16#74D59FF07F6B413D0EA14B344B20A2DB049B50C3:160>>}, %% Seed + <<16#04:8, + 16#00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B:240, %% X(p0) + 16#01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052:240>>, %% Y(p0) + <<16#01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7:240>>, %% Order + <<16#02:8>> %% CoFactor + }; + +curve(sect239k1) -> + { + {characteristic_two_field, 239, {tpbasis,158}}, + {<<16#00:8>>, %% A + <<16#01:8>>, %% B + none}, %% Seed + <<16#04:8, + 16#29A0B6A887A983E9730988A68727A8B2D126C44CC2CC7B2A6555193035DC:240, %% X(p0) + 16#76310804F12E549BDB011C103089E73510ACB275FC312A5DC6B76553F0CA:240>>, %% Y(p0) + <<16#2000000000000000000000000000005A79FEC67CB6E91F1C1DA800E478A5:240>>, %% Order + <<16#04:8>> %% CoFactor + }; + +curve(sect283k1) -> + { + {characteristic_two_field, 283, {ppbasis,5,7,12}}, + {<<16#00:8>>, %% A + <<16#01:8>>, %% B + none}, %% Seed + <<16#04:8, + 16#0503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC24:256, %% X(p0) + 16#58492836:32, + 16#01CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E341161:256, %% Y(p0) + 16#77DD2259:32>>, + <<16#01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E06:256, %% Order + 16#1E163C61:32>>, + <<16#04:8>> %% CoFactor + }; + +curve(sect283r1) -> + { + {characteristic_two_field, 283, {ppbasis,5,7,12}}, + {<<16#01:8>>, %% A + <<16#027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E31:256, %% B + 16#3B79A2F5:32>>, + <<16#77E2B07370EB0F832A6DD5B62DFC88CD06BB84BE:160>>}, %% Seed + <<16#04:8, + 16#05F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD:256, %% X(p0) + 16#86B12053:32, + 16#03676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45:256, %% Y(p0) + 16#BE8112F4:32>>, + <<16#03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7C:256, %% Order + 16#EFADB307:32>>, + <<16#02:8>> %% CoFactor + }; + +curve(sect409k1) -> + { + {characteristic_two_field, 409, {tpbasis,87}}, + {<<16#00:8>>, %% A + <<16#01:8>>, %% B + none}, %% Seed + <<16#04:8, + 16#0060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2:256, %% X(p0) + 16#C460189EB5AAAA62EE222EB1B35540CFE9023746:160, + 16#01E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3:256, %% Y(p0) + 16#DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B:160>>, + <<16#7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20:256, %% Order + 16#400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF:152>>, + <<16#04:8>> %% CoFactor + }; + +curve(sect409r1) -> + { + {characteristic_two_field, 409, {tpbasis,87}}, + {<<16#01:8>>, %% A + <<16#21A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9:256, %% B + 16#A197B272822F6CD57A55AA4F50AE317B13545F:152>>, + <<16#4099B5A457F9D69F79213D094C4BCD4D4262210B:160>>}, %% Seed + <<16#04:8, + 16#015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703:256, %% X(p0) + 16#DC255A868A1180515603AEAB60794E54BB7996A7:160, + 16#0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F:256, %% Y(p0) + 16#38514F1FDF4B4F40D2181B3681C364BA0273C706:160>>, + <<16#010000000000000000000000000000000000000000000000000001E2AAD6A612:256, %% Order + 16#F33307BE5FA47C3C9E052F838164CD37D9A21173:160>>, + <<16#02:8>> %% CoFactor + }; + +curve(sect571k1) -> + { + {characteristic_two_field, 571, {ppbasis,2,5,10}}, + {<<16#00:8>>, %% A + <<16#01:8>>, %% B + none}, %% Seed + <<16#04:8, + 16#026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA4:256, %% X(p0) + 16#4370958493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7:256, + 16#E2945283A01C8972:64, + 16#0349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C:256, %% Y(p0) + 16#9D4979C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F6:256, + 16#01CD4C143EF1C7A3:64>>, + <<16#0200000000000000000000000000000000000000000000000000000000000000:256, %% Order + 16#00000000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB4:256, + 16#5CFE778F637C1001:64>>, + <<16#04:8>> %% CoFactor + }; + +curve(sect571r1) -> + { + {characteristic_two_field, 571, {ppbasis,2,5,10}}, + {<<16#01:8>>, %% A + <<16#02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD:256, %% B + 16#84FFABBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C:256, + 16#7FFEFF7F2955727A:64>>, + <<16#2AA058F73A0E33AB486B0F610410C53A7F132310:160>>}, %% Seed + <<16#04:8, + 16#0303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABD:256, %% X(p0) + 16#BDE53950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927:256, + 16#E1E7769C8EEC2D19:64, + 16#037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A6:256, %% Y(p0) + 16#84423E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C:256, + 16#1A4827AF1B8AC15B:64>>, + <<16#03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF:256, %% Order + 16#FFFFFFFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E:256, + 16#8382E9BB2FE84E47:64>>, + <<16#02:8>> %% CoFactor + }; + +curve(c2pnb163v1) -> + { + {characteristic_two_field, 163, {ppbasis,1,2,8}}, + {<<16#072546B5435234A422E0789675F432C89435DE5242:168>>, %% A + <<16#C9517D06D5240D3CFF38C74B20B6CD4D6F9DD4D9:160>>, %% B + <<16#D2C0FB15760860DEF1EEF4D696E6768756151754:160>>}, %% Seed + <<16#04:8, + 16#07AF69989546103D79329FCC3D74880F33BBE803CB:168, %% X(p0) + 16#01EC23211B5966ADEA1D3F87F7EA5848AEF0B7CA9F:168>>, %% Y(p0) + <<16#0400000000000000000001E60FC8821CC74DAEAFC1:168>>, %% Order + <<16#02:8>> %% CoFactor + }; + +curve(c2pnb163v2) -> + { + {characteristic_two_field, 163, {ppbasis,1,2,8}}, + {<<16#0108B39E77C4B108BED981ED0E890E117C511CF072:168>>, %% A + <<16#0667ACEB38AF4E488C407433FFAE4F1C811638DF20:168>>, %% B + <<16#53814C050D44D696E67687561517580CA4E29FFD:160>>}, %% Seed + <<16#04:8, + 16#0024266E4EB5106D0A964D92C4860E2671DB9B6CC5:168, %% X(p0) + 16#079F684DDF6684C5CD258B3890021B2386DFD19FC5:168>>, %% Y(p0) + <<16#03FFFFFFFFFFFFFFFFFFFDF64DE1151ADBB78F10A7:168>>, %% Order + <<16#02:8>> %% CoFactor + }; + +curve(c2pnb163v3) -> + { + {characteristic_two_field, 163, {ppbasis,1,2,8}}, + {<<16#07A526C63D3E25A256A007699F5447E32AE456B50E:168>>, %% A + <<16#03F7061798EB99E238FD6F1BF95B48FEEB4854252B:168>>, %% B + <<16#50CBF1D95CA94D696E676875615175F16A36A3B8:160>>}, %% Seed + <<16#04:8, + 16#02F9F87B7C574D0BDECF8A22E6524775F98CDEBDCB:168, %% X(p0) + 16#05B935590C155E17EA48EB3FF3718B893DF59A05D0:168>>, %% Y(p0) + <<16#03FFFFFFFFFFFFFFFFFFFE1AEE140F110AFF961309:168>>, %% Order + <<16#02:8>> %% CoFactor + }; + +curve(c2pnb176v1) -> + { + {characteristic_two_field, 176, {ppbasis,1,2,43}}, + {<<16#E4E6DB2995065C407D9D39B8D0967B96704BA8E9C90B:176>>, %% A + <<16#5DDA470ABE6414DE8EC133AE28E9BBD7FCEC0AE0FFF2:176>>, %% B + none}, %% Seed + <<16#04:8, + 16#8D16C2866798B600F9F08BB4A8E860F3298CE04A5798:176, %% X(p0) + 16#6FA4539C2DADDDD6BAB5167D61B436E1D92BB16A562C:176>>, %% Y(p0) + <<16#010092537397ECA4F6145799D62B0A19CE06FE26AD:168>>, %% Order + <<16#FF6E:16>> %% CoFactor + }; + +curve(c2tnb191v1) -> + { + {characteristic_two_field, 191, {tpbasis,9}}, + {<<16#2866537B676752636A68F56554E12640276B649EF7526267:192>>, %% A + <<16#2E45EF571F00786F67B0081B9495A3D95462F5DE0AA185EC:192>>, %% B + <<16#4E13CA542744D696E67687561517552F279A8C84:160>>}, %% Seed + <<16#04:8, + 16#36B3DAF8A23206F9C4F299D7B21A9C369137F2C84AE1AA0D:192, %% X(p0) + 16#765BE73433B3F95E332932E70EA245CA2418EA0EF98018FB:192>>, %% Y(p0) + <<16#40000000000000000000000004A20E90C39067C893BBB9A5:192>>, %% Order + <<16#02:8>> %% CoFactor + }; + +curve(c2tnb191v2) -> + { + {characteristic_two_field, 191, {tpbasis,9}}, + {<<16#401028774D7777C7B7666D1366EA432071274F89FF01E718:192>>, %% A + <<16#0620048D28BCBD03B6249C99182B7C8CD19700C362C46A01:192>>, %% B + <<16#0871EF2FEF24D696E6768756151758BEE0D95C15:160>>}, %% Seed + <<16#04:8, + 16#3809B2B7CC1B28CC5A87926AAD83FD28789E81E2C9E3BF10:192, %% X(p0) + 16#17434386626D14F3DBF01760D9213A3E1CF37AEC437D668A:192>>, %% Y(p0) + <<16#20000000000000000000000050508CB89F652824E06B8173:192>>, %% Order + <<16#04:8>> %% CoFactor + }; + +curve(c2tnb191v3) -> + { + {characteristic_two_field, 191, {tpbasis,9}}, + {<<16#6C01074756099122221056911C77D77E77A777E7E7E77FCB:192>>, %% A + <<16#71FE1AF926CF847989EFEF8DB459F66394D90F32AD3F15E8:192>>, %% B + <<16#E053512DC684D696E676875615175067AE786D1F:160>>}, %% Seed + <<16#04:8, + 16#375D4CE24FDE434489DE8746E71786015009E66E38A926DD:192, %% X(p0) + 16#545A39176196575D985999366E6AD34CE0A77CD7127B06BE:192>>, %% Y(p0) + <<16#155555555555555555555555610C0B196812BFB6288A3EA3:192>>, %% Order + <<16#06:8>> %% CoFactor + }; + +curve(c2pnb208w1) -> + { + {characteristic_two_field, 208, {ppbasis,1,2,83}}, + {<<16#00:8>>, %% A + <<16#C8619ED45A62E6212E1160349E2BFA844439FAFC2A3FD1638F9E:208>>, %% B + none}, %% Seed + <<16#04:8, + 16#89FDFBE4ABE193DF9559ECF07AC0CE78554E2784EB8C1ED1A57A:208, %% X(p0) + 16#0F55B51A06E78E9AC38A035FF520D8B01781BEB1A6BB08617DE3:208>>, %% Y(p0) + <<16#0101BAF95C9723C57B6C21DA2EFF2D5ED588BDD5717E212F9D:200>>, %% Order + <<16#FE48:16>> %% CoFactor + }; + +curve(c2tnb239v1) -> + { + {characteristic_two_field, 239, {tpbasis,36}}, + {<<16#32010857077C5431123A46B808906756F543423E8D27877578125778AC76:240>>, %% A + <<16#790408F2EEDAF392B012EDEFB3392F30F4327C0CA3F31FC383C422AA8C16:240>>, %% B + <<16#D34B9A4D696E676875615175CA71B920BFEFB05D:160>>}, %% Seed + <<16#04:8, + 16#57927098FA932E7C0A96D3FD5B706EF7E5F5C156E16B7E7C86038552E91D:240, %% X(p0) + 16#61D8EE5077C33FECF6F1A16B268DE469C3C7744EA9A971649FC7A9616305:240>>, %% Y(p0) + <<16#2000000000000000000000000000000F4D42FFE1492A4993F1CAD666E447:240>>, %% Order + <<16#04:8>> %% CoFactor + }; + +curve(c2tnb239v2) -> + { + {characteristic_two_field, 239, {tpbasis,36}}, + {<<16#4230017757A767FAE42398569B746325D45313AF0766266479B75654E65F:240>>, %% A + <<16#5037EA654196CFF0CD82B2C14A2FCF2E3FF8775285B545722F03EACDB74B:240>>, %% B + <<16#2AA6982FDFA4D696E676875615175D266727277D:160>>}, %% Seed + <<16#04:8, + 16#28F9D04E900069C8DC47A08534FE76D2B900B7D7EF31F5709F200C4CA205:240, %% X(p0) + 16#5667334C45AFF3B5A03BAD9DD75E2C71A99362567D5453F7FA6E227EC833:240>>, %% Y(p0) + <<16#1555555555555555555555555555553C6F2885259C31E3FCDF154624522D:240>>, %% Order + <<16#06:8>> %% CoFactor + }; + +curve(c2tnb239v3) -> + { + {characteristic_two_field, 239, {tpbasis,36}}, + {<<16#01238774666A67766D6676F778E676B66999176666E687666D8766C66A9F:240>>, %% A + <<16#6A941977BA9F6A435199ACFC51067ED587F519C5ECB541B8E44111DE1D40:240>>, %% B + <<16#9E076F4D696E676875615175E11E9FDD77F92041:160>>}, %% Seed + <<16#04:8, + 16#70F6E9D04D289C4E89913CE3530BFDE903977D42B146D539BF1BDE4E9C92:240, %% X(p0) + 16#2E5A0EAF6E5E1305B9004DCE5C0ED7FE59A35608F33837C816D80B79F461:240>>, %% Y(p0) + <<16#0CCCCCCCCCCCCCCCCCCCCCCCCCCCCCAC4912D2D9DF903EF9888B8A0E4CFF:240>>, %% Order + <<16#0A:8>> %% CoFactor + }; + +curve(c2pnb272w1) -> + { + {characteristic_two_field, 272, {ppbasis,1,3,56}}, + {<<16#91A091F03B5FBA4AB2CCF49C4EDD220FB028712D42BE752B2C40094DBACDB586:256, %% A + 16#FB20:16>>, + <<16#7167EFC92BB2E3CE7C8AAAFF34E12A9C557003D7C73A6FAF003F99F6CC8482E5:256, %% B + 16#40F7:16>>, + none}, %% Seed + <<16#04:8, + 16#6108BABB2CEEBCF787058A056CBE0CFE622D7723A289E08A07AE13EF0D10D171:256, %% X(p0) + 16#DD8D:16, + 16#10C7695716851EEF6BA7F6872E6142FBD241B830FF5EFCACECCAB05E02005DDE:256, %% Y(p0) + 16#9D23:16>>, + <<16#0100FAF51354E0E39E4892DF6E319C72C8161603FA45AA7B998A167B8F1E6295:256, %% Order + 16#21:8>>, + <<16#FF06:16>> %% CoFactor + }; + +curve(c2pnb304w1) -> + { + {characteristic_two_field, 304, {ppbasis,1,2,11}}, + {<<16#FD0D693149A118F651E6DCE6802085377E5F882D1B510B44160074C128807836:256, %% A + 16#5A0396C8E681:48>>, + <<16#BDDB97E555A50A908E43B01C798EA5DAA6788F1EA2794EFCF57166B8C1403960:256, %% B + 16#1E55827340BE:48>>, + none}, %% Seed + <<16#04:8, + 16#197B07845E9BE2D96ADB0F5F3C7F2CFFBD7A3EB8B6FEC35C7FD67F26DDF6285A:256, %% X(p0) + 16#644F740A2614:48, + 16#E19FBEB76E0DA171517ECF401B50289BF014103288527A9B416A105E80260B54:256, %% Y(p0) + 16#9FDC1B92C03B:48>>, + <<16#0101D556572AABAC800101D556572AABAC8001022D5C91DD173F8FB561DA6899:256, %% Order + 16#164443051D:40>>, + <<16#FE2E:16>> %% CoFactor + }; + +curve(c2tnb359v1) -> + { + {characteristic_two_field, 359, {tpbasis,68}}, + {<<16#5667676A654B20754F356EA92017D946567C46675556F19556A04616B567D223:256, %% A + 16#A5E05656FB549016A96656A557:104>>, + <<16#2472E2D0197C49363F1FE7F5B6DB075D52B6947D135D8CA445805D39BC345626:256, %% B + 16#089687742B6329E70680231988:104>>, + <<16#2B354920B724D696E67687561517585BA1332DC6:160>>}, %% Seed + <<16#04:8, + 16#3C258EF3047767E7EDE0F1FDAA79DAEE3841366A132E163ACED4ED2401DF9C6B:256, %% X(p0) + 16#DCDE98E8E707C07A2239B1B097:104, + 16#53D7E08529547048121E9C95F3791DD804963948F34FAE7BF44EA82365DC7868:256, %% Y(p0) + 16#FE57E4AE2DE211305A407104BD:104>>, + <<16#01AF286BCA1AF286BCA1AF286BCA1AF286BCA1AF286BC9FB8F6B85C556892C20:256, %% Order + 16#A7EB964FE7719E74F490758D3B:104>>, + <<16#4C:8>> %% CoFactor + }; + +curve(c2pnb368w1) -> + { + {characteristic_two_field, 368, {ppbasis,1,2,85}}, + {<<16#E0D2EE25095206F5E2A4F9ED229F1F256E79A0E2B455970D8D0D865BD94778C5:256, %% A + 16#76D62F0AB7519CCD2A1A906AE30D:112>>, + <<16#FC1217D4320A90452C760A58EDCD30C8DD069B3C34453837A34ED50CB54917E1:256, %% B + 16#C2112D84D164F444F8F74786046A:112>>, + none}, %% Seed + <<16#04:8, + 16#1085E2755381DCCCE3C1557AFA10C2F0C0C2825646C5B34A394CBCFA8BC16B22:256, %% X(p0) + 16#E7E789E927BE216F02E1FB136A5F:112, + 16#7B3EB1BDDCBA62D5D8B2059B525797FC73822C59059C623A45FF3843CEE8F87C:256, %% Y(p0) + 16#D1855ADAA81E2A0750B80FDA2310:112>>, + <<16#010090512DA9AF72B08349D98A5DD4C7B0532ECA51CE03E2D10F3B7AC579BD87:256, %% Order + 16#E909AE40A6F131E9CFCE5BD967:104>>, + <<16#FF70:16>> %% CoFactor + }; + +curve(c2tnb431r1) -> + { + {characteristic_two_field, 431, {tpbasis,120}}, + {<<16#1A827EF00DD6FC0E234CAF046C6A5D8A85395B236CC4AD2CF32A0CADBDC9DDF6:256, %% A + 16#20B0EB9906D0957F6C6FEACD615468DF104DE296CD8F:176>>, + <<16#10D9B4A3D9047D8B154359ABFB1B7F5485B04CEB868237DDC9DEDA982A679A5A:256, %% B + 16#919B626D4E50A8DD731B107A9962381FB5D807BF2618:176>>, + none}, %% Seed + <<16#04:8, + 16#120FC05D3C67A99DE161D2F4092622FECA701BE4F50F4758714E8A87BBF2A658:256, %% X(p0) + 16#EF8C21E7C5EFE965361F6C2999C0C247B0DBD70CE6B7:176, + 16#20D0AF8903A96F8D5FA2C255745D3C451B302C9346D9B7E485E7BCE41F6B591F:256, %% Y(p0) + 16#3E8F6ADDCBB0BC4C2F947A7DE1A89B625D6A598B3760:176>>, + <<16#0340340340340340340340340340340340340340340340340340340323C313FA:256, %% Order + 16#B50589703B5EC68D3587FEC60D161CC149C1AD4A91:168>>, + <<16#2760:16>> %% CoFactor + }; + +curve(wtls1) -> + { + {characteristic_two_field, 113, {tpbasis,9}}, + {<<16#01:8>>, %% A + <<16#01:8>>, %% B + none}, %% Seed + <<16#04:8, + 16#01667979A40BA497E5D5C270780617:120, %% X(p0) + 16#00F44B4AF1ECC2630E08785CEBCC15:120>>, %% Y(p0) + <<16#FFFFFFFFFFFFFFFDBF91AF6DEA73:112>>, %% Order + <<16#02:8>> %% CoFactor + }; + +curve(wtls3) -> + { + {characteristic_two_field, 163, {ppbasis,3,6,7}}, + {<<16#01:8>>, %% A + <<16#01:8>>, %% B + none}, %% Seed + <<16#04:8, + 16#02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8:168, %% X(p0) + 16#0289070FB05D38FF58321F2E800536D538CCDAA3D9:168>>, %% Y(p0) + <<16#04000000000000000000020108A2E0CC0D99F8A5EF:168>>, %% Order + <<16#02:8>> %% CoFactor + }; + +curve(wtls4) -> + { + {characteristic_two_field, 113, {tpbasis,9}}, + {<<16#3088250CA6E7C7FE649CE85820F7:112>>, %% A + <<16#E8BEE4D3E2260744188BE0E9C723:112>>, %% B + <<16#10E723AB14D696E6768756151756FEBF8FCB49A9:160>>}, %% Seed + <<16#04:8, + 16#009D73616F35F4AB1407D73562C10F:120, %% X(p0) + 16#00A52830277958EE84D1315ED31886:120>>, %% Y(p0) + <<16#0100000000000000D9CCEC8A39E56F:120>>, %% Order + <<16#02:8>> %% CoFactor + }; + +curve(wtls5) -> + { + {characteristic_two_field, 163, {ppbasis,1,2,8}}, + {<<16#072546B5435234A422E0789675F432C89435DE5242:168>>, %% A + <<16#C9517D06D5240D3CFF38C74B20B6CD4D6F9DD4D9:160>>, %% B + <<16#D2C0FB15760860DEF1EEF4D696E6768756151754:160>>}, %% Seed + <<16#04:8, + 16#07AF69989546103D79329FCC3D74880F33BBE803CB:168, %% X(p0) + 16#01EC23211B5966ADEA1D3F87F7EA5848AEF0B7CA9F:168>>, %% Y(p0) + <<16#0400000000000000000001E60FC8821CC74DAEAFC1:168>>, %% Order + <<16#02:8>> %% CoFactor + }; + +curve(wtls6) -> + { + {prime_field, <<16#DB7C2ABF62E35E668076BEAD208B:112>>}, %% Prime + {<<16#DB7C2ABF62E35E668076BEAD2088:112>>, %% A + <<16#659EF8BA043916EEDE8911702B22:112>>, %% B + <<16#00F50B028E4D696E676875615175290472783FB1:160>>}, %% Seed + <<16#04:8, + 16#09487239995A5EE76B55F9C2F098:112, %% X(p0) + 16#A89CE5AF8724C0A23E0E0FF77500:112>>, %% Y(p0) + <<16#DB7C2ABF62E35E7628DFAC6561C5:112>>, %% Order + <<16#01:8>> %% CoFactor + }; + +curve(wtls7) -> + { + {prime_field, <<16#FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73:160>>}, %% Prime + {<<16#FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC70:160>>, %% A + <<16#B4E134D3FB59EB8BAB57274904664D5AF50388BA:160>>, %% B + <<16#B99B99B099B323E02709A4D696E6768756151751:160>>}, %% Seed + <<16#04:8, + 16#52DCB034293A117E1F4FF11B30F7199D3144CE6D:160, %% X(p0) + 16#FEAFFEF2E331F296E071FA0DF9982CFEA7D43F2E:160>>, %% Y(p0) + <<16#0100000000000000000000351EE786A818F3A1A16B:168>>, %% Order + <<16#01:8>> %% CoFactor + }; + +curve(wtls8) -> + { + {prime_field, <<16#FFFFFFFFFFFFFFFFFFFFFFFFFDE7:112>>}, %% Prime + {<<16#00:8>>, %% A + <<16#03:8>>, %% B + none}, %% Seed + <<16#04:8, + 16#0000000000000000000000000001:112, %% X(p0) + 16#0000000000000000000000000002:112>>, %% Y(p0) + <<16#0100000000000001ECEA551AD837E9:120>>, %% Order + <<16#01:8>> %% CoFactor + }; + +curve(wtls9) -> + { + {prime_field, <<16#FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC808F:160>>}, %% Prime + {<<16#00:8>>, %% A + <<16#03:8>>, %% B + none}, %% Seed + <<16#04:8, + 16#0000000000000000000000000000000000000001:160, %% X(p0) + 16#0000000000000000000000000000000000000002:160>>, %% Y(p0) + <<16#0100000000000000000001CDC98AE0E2DE574ABF33:168>>, %% Order + <<16#01:8>> %% CoFactor + }; + +curve(wtls10) -> + { + {characteristic_two_field, 233, {tpbasis,74}}, + {<<16#00:8>>, %% A + <<16#01:8>>, %% B + none}, %% Seed + <<16#04:8, + 16#017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126:240, %% X(p0) + 16#01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3:240>>, %% Y(p0) + <<16#8000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF:232>>, %% Order + <<16#04:8>> %% CoFactor + }; + +curve(wtls11) -> + { + {characteristic_two_field, 233, {tpbasis,74}}, + {<<16#01:8>>, %% A + <<16#66647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD:232>>, %% B + <<16#74D59FF07F6B413D0EA14B344B20A2DB049B50C3:160>>}, %% Seed + <<16#04:8, + 16#00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B:240, %% X(p0) + 16#01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052:240>>, %% Y(p0) + <<16#01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7:240>>, %% Order + <<16#02:8>> %% CoFactor + }; + +curve(wtls12) -> + { + {prime_field, <<16#FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001:224>>}, %% Prime + {<<16#FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE:224>>, %% A + <<16#B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4:224>>, %% B + none}, %% Seed + <<16#04:8, + 16#B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21:224, %% X(p0) + 16#BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34:224>>, %% Y(p0) + <<16#FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D:224>>, %% Order + <<16#01:8>> %% CoFactor + }; + +curve(ipsec3) -> + { + {characteristic_two_field, 155, {tpbasis,62}}, + {<<16#00:8>>, %% A + <<16#07338F:24>>, %% B + none}, %% Seed + <<16#04:8, + 16#000000000000000000000000000000000000007B:160, %% X(p0) + 16#00000000000000000000000000000000000001C8:160>>, %% Y(p0) + <<16#02AAAAAAAAAAAAAAAAAAC7F3C7881BD0868FA86C:160>>, %% Order + <<16#03:8>> %% CoFactor + }; + +curve(ipsec4) -> + { + {characteristic_two_field, 185, {tpbasis,69}}, + {<<16#00:8>>, %% A + <<16#1EE9:16>>, %% B + none}, %% Seed + <<16#04:8, + 16#000000000000000000000000000000000000000000000018:192, %% X(p0) + 16#00000000000000000000000000000000000000000000000D:192>>, %% Y(p0) + <<16#FFFFFFFFFFFFFFFFFFFFFFEDF97C44DB9F2420BAFCA75E:184>>, %% Order + <<16#02:8>> %% CoFactor + }; + +curve(brainpoolP160r1) -> + { + {prime_field, <<16#E95E4A5F737059DC60DFC7AD95B3D8139515620F:160>>}, %% Prime + {<<16#340E7BE2A280EB74E2BE61BADA745D97E8F7C300:160>>, %% A + <<16#1E589A8595423412134FAA2DBDEC95C8D8675E58:160>>, %% B + none}, %% Seed + <<16#04:8, + 16#BED5AF16EA3F6A4F62938C4631EB5AF7BDBCDBC3:160, %% X(p0) + 16#1667CB477A1A8EC338F94741669C976316DA6321:160>>, %% Y(p0) + <<16#E95E4A5F737059DC60DF5991D45029409E60FC09:160>>, %% Order + <<16#01:8>> %% CoFactor + }; + +curve(brainpoolP160t1) -> + { + {prime_field, <<16#E95E4A5F737059DC60DFC7AD95B3D8139515620F:160>>}, %% Prime + {<<16#E95E4A5F737059DC60DFC7AD95B3D8139515620C:160>>, %% A + <<16#7A556B6DAE535B7B51ED2C4D7DAA7A0B5C55F380:160>>, %% B + none}, %% Seed + <<16#04:8, + 16#B199B13B9B34EFC1397E64BAEB05ACC265FF2378:160, %% X(p0) + 16#ADD6718B7C7C1961F0991B842443772152C9E0AD:160>>, %% Y(p0) + <<16#E95E4A5F737059DC60DF5991D45029409E60FC09:160>>, %% Order + <<16#01:8>> %% CoFactor + }; + +curve(brainpoolP192r1) -> + { + {prime_field, <<16#C302F41D932A36CDA7A3463093D18DB78FCE476DE1A86297:192>>}, %% Prime + {<<16#6A91174076B1E0E19C39C031FE8685C1CAE040E5C69A28EF:192>>, %% A + <<16#469A28EF7C28CCA3DC721D044F4496BCCA7EF4146FBF25C9:192>>, %% B + none}, %% Seed + <<16#04:8, + 16#C0A0647EAAB6A48753B033C56CB0F0900A2F5C4853375FD6:192, %% X(p0) + 16#14B690866ABD5BB88B5F4828C1490002E6773FA2FA299B8F:192>>, %% Y(p0) + <<16#C302F41D932A36CDA7A3462F9E9E916B5BE8F1029AC4ACC1:192>>, %% Order + <<16#01:8>> %% CoFactor + }; + +curve(brainpoolP192t1) -> + { + {prime_field, <<16#C302F41D932A36CDA7A3463093D18DB78FCE476DE1A86297:192>>}, %% Prime + {<<16#C302F41D932A36CDA7A3463093D18DB78FCE476DE1A86294:192>>, %% A + <<16#13D56FFAEC78681E68F9DEB43B35BEC2FB68542E27897B79:192>>, %% B + none}, %% Seed + <<16#04:8, + 16#3AE9E58C82F63C30282E1FE7BBF43FA72C446AF6F4618129:192, %% X(p0) + 16#097E2C5667C2223A902AB5CA449D0084B7E5B3DE7CCC01C9:192>>, %% Y(p0) + <<16#C302F41D932A36CDA7A3462F9E9E916B5BE8F1029AC4ACC1:192>>, %% Order + <<16#01:8>> %% CoFactor + }; + +curve(brainpoolP224r1) -> + { + {prime_field, <<16#D7C134AA264366862A18302575D1D787B09F075797DA89F57EC8C0FF:224>>}, %% Prime + {<<16#68A5E62CA9CE6C1C299803A6C1530B514E182AD8B0042A59CAD29F43:224>>, %% A + <<16#2580F63CCFE44138870713B1A92369E33E2135D266DBB372386C400B:224>>, %% B + none}, %% Seed + <<16#04:8, + 16#0D9029AD2C7E5CF4340823B2A87DC68C9E4CE3174C1E6EFDEE12C07D:224, %% X(p0) + 16#58AA56F772C0726F24C6B89E4ECDAC24354B9E99CAA3F6D3761402CD:224>>, %% Y(p0) + <<16#D7C134AA264366862A18302575D0FB98D116BC4B6DDEBCA3A5A7939F:224>>, %% Order + <<16#01:8>> %% CoFactor + }; + +curve(brainpoolP224t1) -> + { + {prime_field, <<16#D7C134AA264366862A18302575D1D787B09F075797DA89F57EC8C0FF:224>>}, %% Prime + {<<16#D7C134AA264366862A18302575D1D787B09F075797DA89F57EC8C0FC:224>>, %% A + <<16#4B337D934104CD7BEF271BF60CED1ED20DA14C08B3BB64F18A60888D:224>>, %% B + none}, %% Seed + <<16#04:8, + 16#6AB1E344CE25FF3896424E7FFE14762ECB49F8928AC0C76029B4D580:224, %% X(p0) + 16#0374E9F5143E568CD23F3F4D7C0D4B1E41C8CC0D1C6ABD5F1A46DB4C:224>>, %% Y(p0) + <<16#D7C134AA264366862A18302575D0FB98D116BC4B6DDEBCA3A5A7939F:224>>, %% Order + <<16#01:8>> %% CoFactor + }; + +curve(brainpoolP256r1) -> + { + {prime_field, <<16#A9FB57DBA1EEA9BC3E660A909D838D726E3BF623D52620282013481D1F6E5377:256>>}, %% Prime + {<<16#7D5A0975FC2C3057EEF67530417AFFE7FB8055C126DC5C6CE94A4B44F330B5D9:256>>, %% A + <<16#26DC5C6CE94A4B44F330B5D9BBD77CBF958416295CF7E1CE6BCCDC18FF8C07B6:256>>, %% B + none}, %% Seed + <<16#04:8, + 16#8BD2AEB9CB7E57CB2C4B482FFC81B7AFB9DE27E1E3BD23C23A4453BD9ACE3262:256, %% X(p0) + 16#547EF835C3DAC4FD97F8461A14611DC9C27745132DED8E545C1D54C72F046997:256>>, %% Y(p0) + <<16#A9FB57DBA1EEA9BC3E660A909D838D718C397AA3B561A6F7901E0E82974856A7:256>>, %% Order + <<16#01:8>> %% CoFactor + }; + +curve(brainpoolP256t1) -> + { + {prime_field, <<16#A9FB57DBA1EEA9BC3E660A909D838D726E3BF623D52620282013481D1F6E5377:256>>}, %% Prime + {<<16#A9FB57DBA1EEA9BC3E660A909D838D726E3BF623D52620282013481D1F6E5374:256>>, %% A + <<16#662C61C430D84EA4FE66A7733D0B76B7BF93EBC4AF2F49256AE58101FEE92B04:256>>, %% B + none}, %% Seed + <<16#04:8, + 16#A3E8EB3CC1CFE7B7732213B23A656149AFA142C47AAFBC2B79A191562E1305F4:256, %% X(p0) + 16#2D996C823439C56D7F7B22E14644417E69BCB6DE39D027001DABE8F35B25C9BE:256>>, %% Y(p0) + <<16#A9FB57DBA1EEA9BC3E660A909D838D718C397AA3B561A6F7901E0E82974856A7:256>>, %% Order + <<16#01:8>> %% CoFactor + }; + +curve(brainpoolP320r1) -> + { + {prime_field, <<16#D35E472036BC4FB7E13C785ED201E065F98FCFA6F6F40DEF4F92B9EC7893EC28:256, %% Prime + 16#FCD412B1F1B32E27:64>>}, + {<<16#3EE30B568FBAB0F883CCEBD46D3F3BB8A2A73513F5EB79DA66190EB085FFA9F4:256, %% A + 16#92F375A97D860EB4:64>>, + <<16#520883949DFDBC42D3AD198640688A6FE13F41349554B49ACC31DCCD88453981:256, %% B + 16#6F5EB4AC8FB1F1A6:64>>, + none}, %% Seed + <<16#04:8, + 16#43BD7E9AFB53D8B85289BCC48EE5BFE6F20137D10A087EB6E7871E2A10A599C7:256, %% X(p0) + 16#10AF8D0D39E20611:64, + 16#14FDD05545EC1CC8AB4093247F77275E0743FFED117182EAA9C77877AAAC6AC7:256, %% Y(p0) + 16#D35245D1692E8EE1:64>>, + <<16#D35E472036BC4FB7E13C785ED201E065F98FCFA5B68F12A32D482EC7EE8658E9:256, %% Order + 16#8691555B44C59311:64>>, + <<16#01:8>> %% CoFactor + }; + +curve(brainpoolP320t1) -> + { + {prime_field, <<16#D35E472036BC4FB7E13C785ED201E065F98FCFA6F6F40DEF4F92B9EC7893EC28:256, %% Prime + 16#FCD412B1F1B32E27:64>>}, + {<<16#D35E472036BC4FB7E13C785ED201E065F98FCFA6F6F40DEF4F92B9EC7893EC28:256, %% A + 16#FCD412B1F1B32E24:64>>, + <<16#A7F561E038EB1ED560B3D147DB782013064C19F27ED27C6780AAF77FB8A547CE:256, %% B + 16#B5B4FEF422340353:64>>, + none}, %% Seed + <<16#04:8, + 16#925BE9FB01AFC6FB4D3E7D4990010F813408AB106C4F09CB7EE07868CC136FFF:256, %% X(p0) + 16#3357F624A21BED52:64, + 16#63BA3A7A27483EBF6671DBEF7ABB30EBEE084E58A0B077AD42A5A0989D1EE71B:256, %% Y(p0) + 16#1B9BC0455FB0D2C3:64>>, + <<16#D35E472036BC4FB7E13C785ED201E065F98FCFA5B68F12A32D482EC7EE8658E9:256, %% Order + 16#8691555B44C59311:64>>, + <<16#01:8>> %% CoFactor + }; + +curve(brainpoolP384r1) -> + { + {prime_field, <<16#8CB91E82A3386D280F5D6F7E50E641DF152F7109ED5456B412B1DA197FB71123:256, %% Prime + 16#ACD3A729901D1A71874700133107EC53:128>>}, + {<<16#7BC382C63D8C150C3C72080ACE05AFA0C2BEA28E4FB22787139165EFBA91F90F:256, %% A + 16#8AA5814A503AD4EB04A8C7DD22CE2826:128>>, + <<16#04A8C7DD22CE28268B39B55416F0447C2FB77DE107DCD2A62E880EA53EEB62D5:256, %% B + 16#7CB4390295DBC9943AB78696FA504C11:128>>, + none}, %% Seed + <<16#04:8, + 16#1D1C64F068CF45FFA2A63A81B7C13F6B8847A3E77EF14FE3DB7FCAFE0CBD10E8:256, %% X(p0) + 16#E826E03436D646AAEF87B2E247D4AF1E:128, + 16#8ABE1D7520F9C2A45CB1EB8E95CFD55262B70B29FEEC5864E19C054FF9912928:256, %% Y(p0) + 16#0E4646217791811142820341263C5315:128>>, + <<16#8CB91E82A3386D280F5D6F7E50E641DF152F7109ED5456B31F166E6CAC0425A7:256, %% Order + 16#CF3AB6AF6B7FC3103B883202E9046565:128>>, + <<16#01:8>> %% CoFactor + }; + +curve(brainpoolP384t1) -> + { + {prime_field, <<16#8CB91E82A3386D280F5D6F7E50E641DF152F7109ED5456B412B1DA197FB71123:256, %% Prime + 16#ACD3A729901D1A71874700133107EC53:128>>}, + {<<16#8CB91E82A3386D280F5D6F7E50E641DF152F7109ED5456B412B1DA197FB71123:256, %% A + 16#ACD3A729901D1A71874700133107EC50:128>>, + <<16#7F519EADA7BDA81BD826DBA647910F8C4B9346ED8CCDC64E4B1ABD11756DCE1D:256, %% B + 16#2074AA263B88805CED70355A33B471EE:128>>, + none}, %% Seed + <<16#04:8, + 16#18DE98B02DB9A306F2AFCD7235F72A819B80AB12EBD653172476FECD462AABFF:256, %% X(p0) + 16#C4FF191B946A5F54D8D0AA2F418808CC:128, + 16#25AB056962D30651A114AFD2755AD336747F93475B7A1FCA3B88F2B6A208CCFE:256, %% Y(p0) + 16#469408584DC2B2912675BF5B9E582928:128>>, + <<16#8CB91E82A3386D280F5D6F7E50E641DF152F7109ED5456B31F166E6CAC0425A7:256, %% Order + 16#CF3AB6AF6B7FC3103B883202E9046565:128>>, + <<16#01:8>> %% CoFactor + }; + +curve(brainpoolP512r1) -> + { + {prime_field, <<16#AADD9DB8DBE9C48B3FD4E6AE33C9FC07CB308DB3B3C9D20ED6639CCA70330871:256, %% Prime + 16#7D4D9B009BC66842AECDA12AE6A380E62881FF2F2D82C68528AA6056583A48F3:256>>}, + {<<16#7830A3318B603B89E2327145AC234CC594CBDD8D3DF91610A83441CAEA9863BC:256, %% A + 16#2DED5D5AA8253AA10A2EF1C98B9AC8B57F1117A72BF2C7B9E7C1AC4D77FC94CA:256>>, + <<16#3DF91610A83441CAEA9863BC2DED5D5AA8253AA10A2EF1C98B9AC8B57F1117A7:256, %% B + 16#2BF2C7B9E7C1AC4D77FC94CADC083E67984050B75EBAE5DD2809BD638016F723:256>>, + none}, %% Seed + <<16#04:8, + 16#81AEE4BDD82ED9645A21322E9C4C6A9385ED9F70B5D916C1B43B62EEF4D0098E:256, %% X(p0) + 16#FF3B1F78E2D0D48D50D1687B93B97D5F7C6D5047406A5E688B352209BCB9F822:256, + 16#7DDE385D566332ECC0EABFA9CF7822FDF209F70024A57B1AA000C55B881F8111:256, %% Y(p0) + 16#B2DCDE494A5F485E5BCA4BD88A2763AED1CA2B2FA8F0540678CD1E0F3AD80892:256>>, + <<16#AADD9DB8DBE9C48B3FD4E6AE33C9FC07CB308DB3B3C9D20ED6639CCA70330870:256, %% Order + 16#553E5C414CA92619418661197FAC10471DB1D381085DDADDB58796829CA90069:256>>, + <<16#01:8>> %% CoFactor + }; + +curve(brainpoolP512t1) -> + { + {prime_field, <<16#AADD9DB8DBE9C48B3FD4E6AE33C9FC07CB308DB3B3C9D20ED6639CCA70330871:256, %% Prime + 16#7D4D9B009BC66842AECDA12AE6A380E62881FF2F2D82C68528AA6056583A48F3:256>>}, + {<<16#AADD9DB8DBE9C48B3FD4E6AE33C9FC07CB308DB3B3C9D20ED6639CCA70330871:256, %% A + 16#7D4D9B009BC66842AECDA12AE6A380E62881FF2F2D82C68528AA6056583A48F0:256>>, + <<16#7CBBBCF9441CFAB76E1890E46884EAE321F70C0BCB4981527897504BEC3E36A6:256, %% B + 16#2BCDFA2304976540F6450085F2DAE145C22553B465763689180EA2571867423E:256>>, + none}, %% Seed + <<16#04:8, + 16#640ECE5C12788717B9C1BA06CBC2A6FEBA85842458C56DDE9DB1758D39C0313D:256, %% X(p0) + 16#82BA51735CDB3EA499AA77A7D6943A64F7A3F25FE26F06B51BAA2696FA9035DA:256, + 16#5B534BD595F5AF0FA2C892376C84ACE1BB4E3019B71634C01131159CAE03CEE9:256, %% Y(p0) + 16#D9932184BEEF216BD71DF2DADF86A627306ECFF96DBB8BACE198B61E00F8B332:256>>, + <<16#AADD9DB8DBE9C48B3FD4E6AE33C9FC07CB308DB3B3C9D20ED6639CCA70330870:256, %% Order + 16#553E5C414CA92619418661197FAC10471DB1D381085DDADDB58796829CA90069:256>>, + <<16#01:8>> %% CoFactor + }. diff --git a/lib/crypto/test/crypto_SUITE.erl b/lib/crypto/test/crypto_SUITE.erl index 42e200fcf0..d1be7cea68 100644 --- a/lib/crypto/test/crypto_SUITE.erl +++ b/lib/crypto/test/crypto_SUITE.erl @@ -437,7 +437,7 @@ do_generate_compute({dh, P, G}) -> SharedSecret = crypto:compute_key(dh, UserPub, HostPriv, [P, G]). do_compute({ecdh = Type, Pub, Priv, Curve, SharedSecret}) -> - Secret = crypto:bytes_to_integer(crypto:compute_key(Type, Pub, Priv, Curve)), + Secret = crypto:compute_key(Type, Pub, Priv, Curve), case Secret of SharedSecret -> ok; @@ -445,6 +445,9 @@ do_compute({ecdh = Type, Pub, Priv, Curve, SharedSecret}) -> ct:fail({{crypto, compute_key, [Type, Pub, Priv, Curve]}, {expected, SharedSecret}, {got, Other}}) end. +hexstr2point(X, Y) -> + <<4:8, (hexstr2bin(X))/binary, (hexstr2bin(Y))/binary>>. + hexstr2bin(S) -> list_to_binary(hexstr2list(S)). @@ -668,7 +671,7 @@ group_config(srp, Config) -> GenerateCompute = [srp3(), srp6(), srp6a()], [{generate_compute, GenerateCompute} | Config]; group_config(ecdh, Config) -> - Compute = [ecdh()], + Compute = ecdh(), [{compute, Compute} | Config]; group_config(dh, Config) -> GenerateCompute = [dh()], @@ -1498,9 +1501,89 @@ srp(ClientPrivate, Generator, Prime, Version, Verifier, ServerPublic, ServerPriv {host, [Verifier, Prime, Version, Scrambler]}, SessionKey}. ecdh() -> - {ecdh, 10053111454769593468622878414300213417816614162107065345116848162553478019161427871683337786549966, - 1373339791687564785573162818422814591820885704654, - secp160r1, 990333295438215762119481641129490894973766052278}. + %% http://csrc.nist.gov/groups/STM/cavp/ + [{ecdh, hexstr2point("42ea6dd9969dd2a61fea1aac7f8e98edcc896c6e55857cc0", "dfbe5d7c61fac88b11811bde328e8a0d12bf01a9d204b523"), + hexstr2bin("f17d3fea367b74d340851ca4270dcb24c271f445bed9d527"), + secp192r1, + hexstr2bin("803d8ab2e5b6e6fca715737c3a82f7ce3c783124f6d51cd0")}, + {ecdh, hexstr2point("deb5712fa027ac8d2f22c455ccb73a91e17b6512b5e030e7", "7e2690a02cc9b28708431a29fb54b87b1f0c14e011ac2125"), + hexstr2bin("56e853349d96fe4c442448dacb7cf92bb7a95dcf574a9bd5"), + secp192r1, + hexstr2bin("c208847568b98835d7312cef1f97f7aa298283152313c29d")}, + {ecdh, hexstr2point("af33cd0629bc7e996320a3f40368f74de8704fa37b8fab69abaae280", "882092ccbba7930f419a8a4f9bb16978bbc3838729992559a6f2e2d7"), + hexstr2bin("8346a60fc6f293ca5a0d2af68ba71d1dd389e5e40837942df3e43cbd"), + secp224r1, + hexstr2bin("7d96f9a3bd3c05cf5cc37feb8b9d5209d5c2597464dec3e9983743e8")}, + {ecdh, hexstr2point("13bfcd4f8e9442393cab8fb46b9f0566c226b22b37076976f0617a46", "eeb2427529b288c63c2f8963c1e473df2fca6caa90d52e2f8db56dd4"), + hexstr2bin("043cb216f4b72cdf7629d63720a54aee0c99eb32d74477dac0c2f73d"), + secp224r1, + hexstr2bin("ee93ce06b89ff72009e858c68eb708e7bc79ee0300f73bed69bbca09")}, + {ecdh, hexstr2point("700c48f77f56584c5cc632ca65640db91b6bacce3a4df6b42ce7cc838833d287", "db71e509e3fd9b060ddb20ba5c51dcc5948d46fbf640dfe0441782cab85fa4ac"), + hexstr2bin("7d7dc5f71eb29ddaf80d6214632eeae03d9058af1fb6d22ed80badb62bc1a534"), + secp256r1, + hexstr2bin("46fc62106420ff012e54a434fbdd2d25ccc5852060561e68040dd7778997bd7b")}, + {ecdh, hexstr2point("809f04289c64348c01515eb03d5ce7ac1a8cb9498f5caa50197e58d43a86a7ae", "b29d84e811197f25eba8f5194092cb6ff440e26d4421011372461f579271cda3"), + hexstr2bin("38f65d6dce47676044d58ce5139582d568f64bb16098d179dbab07741dd5caf5"), + secp256r1, + hexstr2bin("057d636096cb80b67a8c038c890e887d1adfa4195e9b3ce241c8a778c59cda67")}, + {ecdh, hexstr2point("a7c76b970c3b5fe8b05d2838ae04ab47697b9eaf52e764592efda27fe7513272734466b400091adbf2d68c58e0c50066", "ac68f19f2e1cb879aed43a9969b91a0839c4c38a49749b661efedf243451915ed0905a32b060992b468c64766fc8437a"), + hexstr2bin("3cc3122a68f0d95027ad38c067916ba0eb8c38894d22e1b15618b6818a661774ad463b205da88cf699ab4d43c9cf98a1"), + secp384r1, + hexstr2bin("5f9d29dc5e31a163060356213669c8ce132e22f57c9a04f40ba7fcead493b457e5621e766c40a2e3d4d6a04b25e533f1")}, + {ecdh, hexstr2point("30f43fcf2b6b00de53f624f1543090681839717d53c7c955d1d69efaf0349b7363acb447240101cbb3af6641ce4b88e0", "25e46c0c54f0162a77efcc27b6ea792002ae2ba82714299c860857a68153ab62e525ec0530d81b5aa15897981e858757"), + hexstr2bin("92860c21bde06165f8e900c687f8ef0a05d14f290b3f07d8b3a8cc6404366e5d5119cd6d03fb12dc58e89f13df9cd783"), + secp384r1, + hexstr2bin("a23742a2c267d7425fda94b93f93bbcc24791ac51cd8fd501a238d40812f4cbfc59aac9520d758cf789c76300c69d2ff")}, + {ecdh, hexstr2point("00685a48e86c79f0f0875f7bc18d25eb5fc8c0b07e5da4f4370f3a9490340854334b1e1b87fa395464c60626124a4e70d0f785601d37c09870ebf176666877a2046d", "01ba52c56fc8776d9e8f5db4f0cc27636d0b741bbe05400697942e80b739884a83bde99e0f6716939e632bc8986fa18dccd443a348b6c3e522497955a4f3c302f676"), + hexstr2bin("017eecc07ab4b329068fba65e56a1f8890aa935e57134ae0ffcce802735151f4eac6564f6ee9974c5e6887a1fefee5743ae2241bfeb95d5ce31ddcb6f9edb4d6fc47"), + secp521r1, + hexstr2bin("005fc70477c3e63bc3954bd0df3ea0d1f41ee21746ed95fc5e1fdf90930d5e136672d72cc770742d1711c3c3a4c334a0ad9759436a4d3c5bf6e74b9578fac148c831")}, + {ecdh, hexstr2point("01df277c152108349bc34d539ee0cf06b24f5d3500677b4445453ccc21409453aafb8a72a0be9ebe54d12270aa51b3ab7f316aa5e74a951c5e53f74cd95fc29aee7a", "013d52f33a9f3c14384d1587fa8abe7aed74bc33749ad9c570b471776422c7d4505d9b0a96b3bfac041e4c6a6990ae7f700e5b4a6640229112deafa0cd8bb0d089b0"), + hexstr2bin("00816f19c1fb10ef94d4a1d81c156ec3d1de08b66761f03f06ee4bb9dcebbbfe1eaa1ed49a6a990838d8ed318c14d74cc872f95d05d07ad50f621ceb620cd905cfb8"), + secp521r1, + hexstr2bin("000b3920ac830ade812c8f96805da2236e002acbbf13596a9ab254d44d0e91b6255ebf1229f366fb5a05c5884ef46032c26d42189273ca4efa4c3db6bd12a6853759")}, + + %% RFC-6954, Appendix A + {ecdh, hexstr2point("A9C21A569759DA95E0387041184261440327AFE33141CA04B82DC92E", + "98A0F75FBBF61D8E58AE5511B2BCDBE8E549B31E37069A2825F590C1"), + hexstr2bin("6060552303899E2140715816C45B57D9B42204FB6A5BF5BEAC10DB00"), + brainpoolP224r1, + hexstr2bin("1A4BFE705445120C8E3E026699054104510D119757B74D5FE2462C66")}, + {ecdh, hexstr2point("034A56C550FF88056144E6DD56070F54B0135976B5BF77827313F36B", + "75165AD99347DC86CAAB1CBB579E198EAF88DC35F927B358AA683681"), + hexstr2bin("39F155483CEE191FBECFE9C81D8AB1A03CDA6790E7184ACE44BCA161"), + brainpoolP224r1, + hexstr2bin("1A4BFE705445120C8E3E026699054104510D119757B74D5FE2462C66")}, + {ecdh, hexstr2point("44106E913F92BC02A1705D9953A8414DB95E1AAA49E81D9E85F929A8E3100BE5", + "8AB4846F11CACCB73CE49CBDD120F5A900A69FD32C272223F789EF10EB089BDC"), + hexstr2bin("55E40BC41E37E3E2AD25C3C6654511FFA8474A91A0032087593852D3E7D76BD3"), + brainpoolP256r1, + hexstr2bin("89AFC39D41D3B327814B80940B042590F96556EC91E6AE7939BCE31F3A18BF2B")}, + {ecdh, hexstr2point("8D2D688C6CF93E1160AD04CC4429117DC2C41825E1E9FCA0ADDD34E6F1B39F7B", + "990C57520812BE512641E47034832106BC7D3E8DD0E4C7F1136D7006547CEC6A"), + hexstr2bin("81DB1EE100150FF2EA338D708271BE38300CB54241D79950F77B063039804F1D"), + brainpoolP256r1, + hexstr2bin("89AFC39D41D3B327814B80940B042590F96556EC91E6AE7939BCE31F3A18BF2B")}, + {ecdh, hexstr2point("68B665DD91C195800650CDD363C625F4E742E8134667B767B1B476793588F885AB698C852D4A6E77A252D6380FCAF068", + "55BC91A39C9EC01DEE36017B7D673A931236D2F1F5C83942D049E3FA20607493E0D038FF2FD30C2AB67D15C85F7FAA59"), + hexstr2bin("032640BC6003C59260F7250C3DB58CE647F98E1260ACCE4ACDA3DD869F74E01F8BA5E0324309DB6A9831497ABAC96670"), + brainpoolP384r1, + hexstr2bin("0BD9D3A7EA0B3D519D09D8E48D0785FB744A6B355E6304BC51C229FBBCE239BBADF6403715C35D4FB2A5444F575D4F42")}, + {ecdh, hexstr2point("4D44326F269A597A5B58BBA565DA5556ED7FD9A8A9EB76C25F46DB69D19DC8CE6AD18E404B15738B2086DF37E71D1EB4", + "62D692136DE56CBE93BF5FA3188EF58BC8A3A0EC6C1E151A21038A42E9185329B5B275903D192F8D4E1F32FE9CC78C48"), + hexstr2bin("1E20F5E048A5886F1F157C74E91BDE2B98C8B52D58E5003D57053FC4B0BD65D6F15EB5D1EE1610DF870795143627D042"), + brainpoolP384r1, + hexstr2bin("0BD9D3A7EA0B3D519D09D8E48D0785FB744A6B355E6304BC51C229FBBCE239BBADF6403715C35D4FB2A5444F575D4F42")}, + {ecdh, hexstr2point("0A420517E406AAC0ACDCE90FCD71487718D3B953EFD7FBEC5F7F27E28C6149999397E91E029E06457DB2D3E640668B392C2A7E737A7F0BF04436D11640FD09FD", + "72E6882E8DB28AAD36237CD25D580DB23783961C8DC52DFA2EC138AD472A0FCEF3887CF62B623B2A87DE5C588301EA3E5FC269B373B60724F5E82A6AD147FDE7"), + hexstr2bin("230E18E1BCC88A362FA54E4EA3902009292F7F8033624FD471B5D8ACE49D12CFABBC19963DAB8E2F1EBA00BFFB29E4D72D13F2224562F405CB80503666B25429"), + brainpoolP512r1, + hexstr2bin("A7927098655F1F9976FA50A9D566865DC530331846381C87256BAF3226244B76D36403C024D7BBF0AA0803EAFF405D3D24F11A9B5C0BEF679FE1454B21C4CD1F")}, + {ecdh, hexstr2point("9D45F66DE5D67E2E6DB6E93A59CE0BB48106097FF78A081DE781CDB31FCE8CCBAAEA8DD4320C4119F1E9CD437A2EAB3731FA9668AB268D871DEDA55A5473199F", + "2FDC313095BCDD5FB3A91636F07A959C8E86B5636A1E930E8396049CB481961D365CC11453A06C719835475B12CB52FC3C383BCE35E27EF194512B71876285FA"), + hexstr2bin("16302FF0DBBB5A8D733DAB7141C1B45ACBC8715939677F6A56850A38BD87BD59B09E80279609FF333EB9D4C061231FB26F92EEB04982A5F1D1764CAD57665422"), + brainpoolP512r1, + hexstr2bin("A7927098655F1F9976FA50A9D566865DC530331846381C87256BAF3226244B76D36403C024D7BBF0AA0803EAFF405D3D24F11A9B5C0BEF679FE1454B21C4CD1F")}]. dh() -> {dh, 0087761979513264537414556992123116644042638206717762626089877284926656954974893442000747478454809111207351620687968672207938731607963470779396984752680274820156266685080223616226905101126463253150237669547023934604953898814222890239130021414026118792251620881355456432549881723310342870016961804255746630219, 2}. diff --git a/lib/public_key/asn1/Makefile b/lib/public_key/asn1/Makefile index a4e36c7293..c1b3bc866d 100644 --- a/lib/public_key/asn1/Makefile +++ b/lib/public_key/asn1/Makefile @@ -41,7 +41,7 @@ RELSYSDIR = $(RELEASE_PATH)/lib/public_key-$(VSN) ASN_TOP = OTP-PUB-KEY PKCS-FRAME ASN_MODULES = PKIX1Explicit88 PKIX1Implicit88 PKIX1Algorithms88 \ PKIXAttributeCertificate PKCS-1 PKCS-3 PKCS-7 PKCS-8 PKCS-10 PKCS5v2-0 OTP-PKIX \ - InformationFramework + InformationFramework RFC5639 ASN_ASNS = $(ASN_MODULES:%=%.asn1) ASN_ERLS = $(ASN_TOP:%=%.erl) ASN_HRLS = $(ASN_TOP:%=%.hrl) @@ -116,7 +116,8 @@ OTP-PUB-KEY.asn1db: PKIX1Algorithms88.asn1 \ PKCS-7.asn1\ PKCS-10.asn1\ InformationFramework.asn1\ - OTP-PKIX.asn1 + OTP-PKIX.asn1 \ + RFC5639.asn1 $(EBIN)/PKCS-FRAME.beam: PKCS-FRAME.erl PKCS-FRAME.hrl PKCS-FRAME.erl PKCS-FRAME.hrl: PKCS-FRAME.asn1db diff --git a/lib/public_key/asn1/OTP-PUB-KEY.set.asn b/lib/public_key/asn1/OTP-PUB-KEY.set.asn index e94f428e4b..b3f3ccdb77 100644 --- a/lib/public_key/asn1/OTP-PUB-KEY.set.asn +++ b/lib/public_key/asn1/OTP-PUB-KEY.set.asn @@ -9,3 +9,4 @@ DSS.asn1 ECPrivateKey.asn1 PKCS-7.asn1 PKCS-10.asn1 +RFC5639.asn1 diff --git a/lib/public_key/asn1/RFC5639.asn1 b/lib/public_key/asn1/RFC5639.asn1 new file mode 100644 index 0000000000..85b8533132 --- /dev/null +++ b/lib/public_key/asn1/RFC5639.asn1 @@ -0,0 +1,27 @@ +RFC5639 {iso(1) identified-organization(3) teletrust(36) algorithm(3) signature-algorithm(3) ecSign(2) 8} DEFINITIONS EXPLICIT TAGS ::= + +BEGIN + +ecStdCurvesAndGeneration OBJECT IDENTIFIER::= {iso(1) + identified-organization(3) teletrust(36) algorithm(3) signature-algorithm(3) ecSign(2) 8} + +ellipticCurveRFC5639 OBJECT IDENTIFIER ::= {ecStdCurvesAndGeneration 1} + +versionOne OBJECT IDENTIFIER ::= {ellipticCurveRFC5639 1} + +brainpoolP160r1 OBJECT IDENTIFIER ::= {versionOne 1} +brainpoolP160t1 OBJECT IDENTIFIER ::= {versionOne 2} +brainpoolP192r1 OBJECT IDENTIFIER ::= {versionOne 3} +brainpoolP192t1 OBJECT IDENTIFIER ::= {versionOne 4} +brainpoolP224r1 OBJECT IDENTIFIER ::= {versionOne 5} +brainpoolP224t1 OBJECT IDENTIFIER ::= {versionOne 6} +brainpoolP256r1 OBJECT IDENTIFIER ::= {versionOne 7} +brainpoolP256t1 OBJECT IDENTIFIER ::= {versionOne 8} +brainpoolP320r1 OBJECT IDENTIFIER ::= {versionOne 9} +brainpoolP320t1 OBJECT IDENTIFIER ::= {versionOne 10} +brainpoolP384r1 OBJECT IDENTIFIER ::= {versionOne 11} +brainpoolP384t1 OBJECT IDENTIFIER ::= {versionOne 12} +brainpoolP512r1 OBJECT IDENTIFIER ::= {versionOne 13} +brainpoolP512t1 OBJECT IDENTIFIER ::= {versionOne 14} + +END diff --git a/lib/public_key/src/pubkey_cert_records.erl b/lib/public_key/src/pubkey_cert_records.erl index fdd89aa70d..f7a361d5a8 100644 --- a/lib/public_key/src/pubkey_cert_records.erl +++ b/lib/public_key/src/pubkey_cert_records.erl @@ -147,6 +147,20 @@ namedCurves(?'sect163r1') -> sect163r1; namedCurves(?'sect163k1') -> sect163k1; namedCurves(?'secp256r1') -> secp256r1; namedCurves(?'secp192r1') -> secp192r1; +namedCurves(?'brainpoolP160r1') -> brainpoolP160r1; +namedCurves(?'brainpoolP160t1') -> brainpoolP160t1; +namedCurves(?'brainpoolP192r1') -> brainpoolP192r1; +namedCurves(?'brainpoolP192t1') -> brainpoolP192t1; +namedCurves(?'brainpoolP224r1') -> brainpoolP224r1; +namedCurves(?'brainpoolP224t1') -> brainpoolP224t1; +namedCurves(?'brainpoolP256r1') -> brainpoolP256r1; +namedCurves(?'brainpoolP256t1') -> brainpoolP256t1; +namedCurves(?'brainpoolP320r1') -> brainpoolP320r1; +namedCurves(?'brainpoolP320t1') -> brainpoolP320t1; +namedCurves(?'brainpoolP384r1') -> brainpoolP384r1; +namedCurves(?'brainpoolP384t1') -> brainpoolP384t1; +namedCurves(?'brainpoolP512r1') -> brainpoolP512r1; +namedCurves(?'brainpoolP512t1') -> brainpoolP512t1; namedCurves(sect571r1) -> ?'sect571r1'; namedCurves(sect571k1) -> ?'sect571k1'; @@ -180,7 +194,21 @@ namedCurves(sect239k1) -> ?'sect239k1'; namedCurves(sect163r1) -> ?'sect163r1'; namedCurves(sect163k1) -> ?'sect163k1'; namedCurves(secp256r1) -> ?'secp256r1'; -namedCurves(secp192r1) -> ?'secp192r1'. +namedCurves(secp192r1) -> ?'secp192r1'; +namedCurves(brainpoolP160r1) -> ?'brainpoolP160r1'; +namedCurves(brainpoolP160t1) -> ?'brainpoolP160t1'; +namedCurves(brainpoolP192r1) -> ?'brainpoolP192r1'; +namedCurves(brainpoolP192t1) -> ?'brainpoolP192t1'; +namedCurves(brainpoolP224r1) -> ?'brainpoolP224r1'; +namedCurves(brainpoolP224t1) -> ?'brainpoolP224t1'; +namedCurves(brainpoolP256r1) -> ?'brainpoolP256r1'; +namedCurves(brainpoolP256t1) -> ?'brainpoolP256t1'; +namedCurves(brainpoolP320r1) -> ?'brainpoolP320r1'; +namedCurves(brainpoolP320t1) -> ?'brainpoolP320t1'; +namedCurves(brainpoolP384r1) -> ?'brainpoolP384r1'; +namedCurves(brainpoolP384t1) -> ?'brainpoolP384t1'; +namedCurves(brainpoolP512r1) -> ?'brainpoolP512r1'; +namedCurves(brainpoolP512t1) -> ?'brainpoolP512t1'. %%-------------------------------------------------------------------- %%% Internal functions diff --git a/lib/ssl/src/tls_v1.erl b/lib/ssl/src/tls_v1.erl index 2395e98642..7c7fdd64c3 100644 --- a/lib/ssl/src/tls_v1.erl +++ b/lib/ssl/src/tls_v1.erl @@ -368,11 +368,19 @@ finished_label(server) -> %% list ECC curves in prefered order ecc_curves(_Minor) -> - [?sect571r1,?sect571k1,?secp521r1,?sect409k1,?sect409r1, - ?secp384r1,?sect283k1,?sect283r1,?secp256k1,?secp256r1, - ?sect239k1,?sect233k1,?sect233r1,?secp224k1,?secp224r1, - ?sect193r1,?sect193r2,?secp192k1,?secp192r1,?sect163k1, - ?sect163r1,?sect163r2,?secp160k1,?secp160r1,?secp160r2]. + TLSCurves = [sect571r1,sect571k1,secp521r1,brainpoolP512r1, + sect409k1,sect409r1,brainpoolP384r1,secp384r1, + sect283k1,sect283r1,brainpoolP256r1,secp256k1,secp256r1, + sect239k1,sect233k1,sect233r1,secp224k1,secp224r1, + sect193r1,sect193r2,secp192k1,secp192r1,sect163k1, + sect163r1,sect163r2,secp160k1,secp160r1,secp160r2], + CryptoCurves = crypto:ec_curves(), + lists:foldr(fun(Curve, Curves) -> + case proplists:get_bool(Curve, CryptoCurves) of + true -> [pubkey_cert_records:namedCurves(Curve)|Curves]; + false -> Curves + end + end, [], TLSCurves). %% ECC curves from draft-ietf-tls-ecc-12.txt (Oct. 17, 2005) oid_to_enum(?sect163k1) -> 1; @@ -399,7 +407,10 @@ oid_to_enum(?secp224r1) -> 21; oid_to_enum(?secp256k1) -> 22; oid_to_enum(?secp256r1) -> 23; oid_to_enum(?secp384r1) -> 24; -oid_to_enum(?secp521r1) -> 25. +oid_to_enum(?secp521r1) -> 25; +oid_to_enum(?brainpoolP256r1) -> 26; +oid_to_enum(?brainpoolP384r1) -> 27; +oid_to_enum(?brainpoolP512r1) -> 28. enum_to_oid(1) -> ?sect163k1; enum_to_oid(2) -> ?sect163r1; @@ -425,7 +436,10 @@ enum_to_oid(21) -> ?secp224r1; enum_to_oid(22) -> ?secp256k1; enum_to_oid(23) -> ?secp256r1; enum_to_oid(24) -> ?secp384r1; -enum_to_oid(25) -> ?secp521r1. +enum_to_oid(25) -> ?secp521r1; +enum_to_oid(26) -> ?brainpoolP256r1; +enum_to_oid(27) -> ?brainpoolP384r1; +enum_to_oid(28) -> ?brainpoolP512r1. sufficent_ec_support() -> CryptoSupport = crypto:supports(), |