From d8144ef38f7e18230349100bbdee1da4c723fd94 Mon Sep 17 00:00:00 2001 From: Andreas Schultz Date: Wed, 12 Sep 2012 20:57:01 +0200 Subject: CRYPTO: add support for RFC-2945 SRP-3 and RFC-5054 SRP-6a authentication --- lib/crypto/c_src/crypto.c | 216 +++++++++++++++++++++++++++++++++++++++ lib/crypto/doc/src/crypto.xml | 88 +++++++++++++++- lib/crypto/src/crypto.erl | 71 ++++++++++++- lib/crypto/test/crypto_SUITE.erl | 154 +++++++++++++++++++++++++++- 4 files changed, 524 insertions(+), 5 deletions(-) diff --git a/lib/crypto/c_src/crypto.c b/lib/crypto/c_src/crypto.c index 8139b331bf..7853ef3291 100644 --- a/lib/crypto/c_src/crypto.c +++ b/lib/crypto/c_src/crypto.c @@ -207,6 +207,9 @@ static ERL_NIF_TERM dh_generate_parameters_nif(ErlNifEnv* env, int argc, const E static ERL_NIF_TERM dh_check(ErlNifEnv* env, int argc, const ERL_NIF_TERM argv[]); static ERL_NIF_TERM dh_generate_key_nif(ErlNifEnv* env, int argc, const ERL_NIF_TERM argv[]); static ERL_NIF_TERM dh_compute_key_nif(ErlNifEnv* env, int argc, const ERL_NIF_TERM argv[]); +static ERL_NIF_TERM srp_value_B_nif(ErlNifEnv* env, int argc, const ERL_NIF_TERM argv[]); +static ERL_NIF_TERM srp_client_secret_nif(ErlNifEnv* env, int argc, const ERL_NIF_TERM argv[]); +static ERL_NIF_TERM srp_server_secret(ErlNifEnv* env, int argc, const ERL_NIF_TERM argv[]); static ERL_NIF_TERM bf_cfb64_crypt(ErlNifEnv* env, int argc, const ERL_NIF_TERM argv[]); static ERL_NIF_TERM bf_cbc_crypt(ErlNifEnv* env, int argc, const ERL_NIF_TERM argv[]); static ERL_NIF_TERM bf_ecb_crypt(ErlNifEnv* env, int argc, const ERL_NIF_TERM argv[]); @@ -321,6 +324,9 @@ static ErlNifFunc nif_funcs[] = { {"dh_check", 1, dh_check}, {"dh_generate_key_nif", 2, dh_generate_key_nif}, {"dh_compute_key_nif", 3, dh_compute_key_nif}, + {"srp_value_B_nif", 5, srp_value_B_nif}, + {"srp_client_secret_nif", 7, srp_client_secret_nif}, + {"srp_server_secret", 5, srp_server_secret}, {"bf_cfb64_crypt", 4, bf_cfb64_crypt}, {"bf_cbc_crypt", 4, bf_cbc_crypt}, {"bf_ecb_crypt", 3, bf_ecb_crypt}, @@ -1515,6 +1521,17 @@ static int get_bn_from_mpint(ErlNifEnv* env, ERL_NIF_TERM term, BIGNUM** bnp) return 1; } +static int get_bn_from_bin(ErlNifEnv* env, ERL_NIF_TERM term, BIGNUM** bnp) +{ + ErlNifBinary bin; + if (!enif_inspect_binary(env,term,&bin)) { + return 0; + } + ERL_VALGRIND_ASSERT_MEM_DEFINED(bin.data, bin.size); + *bnp = BN_bin2bn(bin.data, bin.size, NULL); + return 1; +} + static ERL_NIF_TERM rand_uniform_nif(ErlNifEnv* env, int argc, const ERL_NIF_TERM argv[]) {/* (Lo,Hi) */ BIGNUM *bn_from = NULL, *bn_to, *bn_rand; @@ -2352,6 +2369,205 @@ static ERL_NIF_TERM dh_compute_key_nif(ErlNifEnv* env, int argc, const ERL_NIF_T return ret; } +static ERL_NIF_TERM srp_value_B_nif(ErlNifEnv* env, int argc, const ERL_NIF_TERM argv[]) +{/* (Multiplier, Verifier, Generator, Exponent, Prime) */ + BIGNUM *bn_verifier = NULL; + BIGNUM *bn_exponent, *bn_generator, *bn_prime, *bn_multiplier, *bn_result; + BN_CTX *bn_ctx; + unsigned char* ptr; + unsigned dlen; + ERL_NIF_TERM ret; + + if (!get_bn_from_bin(env, argv[0], &bn_multiplier) + || !get_bn_from_bin(env, argv[1], &bn_verifier) + || !get_bn_from_bin(env, argv[2], &bn_generator) + || !get_bn_from_bin(env, argv[3], &bn_exponent) + || !get_bn_from_bin(env, argv[4], &bn_prime)) { + if (bn_multiplier) BN_free(bn_multiplier); + if (bn_verifier) BN_free(bn_verifier); + if (bn_verifier) BN_free(bn_generator); + if (bn_verifier) BN_free(bn_exponent); + if (bn_verifier) BN_free(bn_prime); + return enif_make_badarg(env); + } + + bn_result = BN_new(); + bn_ctx = BN_CTX_new(); + + /* B = k*v + g^b % N */ + + /* k * v */ + BN_mod_mul(bn_multiplier, bn_multiplier, bn_verifier, bn_prime, bn_ctx); + + /* g^b % N */ + BN_mod_exp(bn_result, bn_generator, bn_exponent, bn_prime, bn_ctx); + + /* k*v + g^b % N */ + BN_mod_add(bn_result, bn_result, bn_multiplier, bn_prime, bn_ctx); + + /* check that B % N != 0, reuse bn_multiplier */ + BN_nnmod(bn_multiplier, bn_result, bn_prime, bn_ctx); + if (BN_is_zero(bn_multiplier)) { + ret = atom_error; + } else { + dlen = BN_num_bytes(bn_result); + ptr = enif_make_new_binary(env, dlen, &ret); + BN_bn2bin(bn_result, ptr); + } + BN_free(bn_result); + BN_CTX_free(bn_ctx); + BN_free(bn_prime); + BN_free(bn_generator); + BN_free(bn_multiplier); + BN_free(bn_exponent); + BN_free(bn_verifier); + return ret; +} + +static ERL_NIF_TERM srp_client_secret_nif(ErlNifEnv* env, int argc, const ERL_NIF_TERM argv[]) +{/* (a, u, B, Multiplier, Prime, Exponent, Generator) */ +/* + = (B - (k * g^x)) ^ (a + (u * x)) % N +*/ + BIGNUM *bn_exponent = NULL, *bn_a = NULL; + BIGNUM *bn_u, *bn_multiplier, *bn_exp2, *bn_base, + *bn_prime, *bn_generator, *bn_B, *bn_result; + BN_CTX *bn_ctx; + unsigned char* ptr; + unsigned dlen; + ERL_NIF_TERM ret; + + if (!get_bn_from_bin(env, argv[0], &bn_a) + || !get_bn_from_bin(env, argv[1], &bn_u) + || !get_bn_from_bin(env, argv[2], &bn_B) + || !get_bn_from_bin(env, argv[3], &bn_multiplier) + || !get_bn_from_bin(env, argv[4], &bn_generator) + || !get_bn_from_bin(env, argv[5], &bn_exponent) + || !get_bn_from_bin(env, argv[6], &bn_prime)) + { + if (bn_exponent) BN_free(bn_exponent); + if (bn_a) BN_free(bn_a); + if (bn_u) BN_free(bn_u); + if (bn_B) BN_free(bn_B); + if (bn_multiplier) BN_free(bn_multiplier); + if (bn_generator) BN_free(bn_generator); + if (bn_prime) BN_free(bn_prime); + return enif_make_badarg(env); + } + + bn_ctx = BN_CTX_new(); + bn_result = BN_new(); + + /* check that B % N != 0 */ + BN_nnmod(bn_result, bn_B, bn_prime, bn_ctx); + if (BN_is_zero(bn_result)) { + BN_free(bn_exponent); + BN_free(bn_a); + BN_free(bn_generator); + BN_free(bn_prime); + BN_free(bn_u); + BN_free(bn_B); + BN_CTX_free(bn_ctx); + + return atom_error; + } + + /* (B - (k * g^x)) */ + bn_base = BN_new(); + BN_mod_exp(bn_result, bn_generator, bn_exponent, bn_prime, bn_ctx); + BN_mod_mul(bn_result, bn_multiplier, bn_result, bn_prime, bn_ctx); + BN_mod_sub(bn_base, bn_B, bn_result, bn_prime, bn_ctx); + + /* a + (u * x) */ + bn_exp2 = BN_new(); + BN_mod_mul(bn_result, bn_u, bn_exponent, bn_prime, bn_ctx); + BN_mod_add(bn_exp2, bn_a, bn_result, bn_prime, bn_ctx); + + /* (B - (k * g^x)) ^ (a + (u * x)) % N */ + BN_mod_exp(bn_result, bn_base, bn_exp2, bn_prime, bn_ctx); + + dlen = BN_num_bytes(bn_result); + ptr = enif_make_new_binary(env, dlen, &ret); + BN_bn2bin(bn_result, ptr); + BN_free(bn_result); + BN_CTX_free(bn_ctx); + + BN_free(bn_multiplier); + BN_free(bn_exp2); + BN_free(bn_u); + BN_free(bn_exponent); + BN_free(bn_a); + BN_free(bn_B); + BN_free(bn_base); + BN_free(bn_generator); + BN_free(bn_prime); + return ret; +} + +static ERL_NIF_TERM srp_server_secret(ErlNifEnv* env, int argc, const ERL_NIF_TERM argv[]) +{/* (Verifier, b, u, A, Prime) */ +/* + = (A * v^u) ^ b % N +*/ + BIGNUM *bn_b = NULL, *bn_verifier = NULL; + BIGNUM *bn_prime, *bn_A, *bn_u, *bn_base, *bn_result; + BN_CTX *bn_ctx; + unsigned char* ptr; + unsigned dlen; + ERL_NIF_TERM ret; + + if (!get_bn_from_bin(env, argv[0], &bn_verifier) + || !get_bn_from_bin(env, argv[1], &bn_b) + || !get_bn_from_bin(env, argv[2], &bn_u) + || !get_bn_from_bin(env, argv[3], &bn_A) + || !get_bn_from_bin(env, argv[4], &bn_prime)) + { + if (bn_verifier) BN_free(bn_verifier); + if (bn_b) BN_free(bn_b); + if (bn_u) BN_free(bn_u); + if (bn_A) BN_free(bn_A); + if (bn_prime) BN_free(bn_prime); + return enif_make_badarg(env); + } + + bn_ctx = BN_CTX_new(); + bn_result = BN_new(); + + /* check that A % N != 0 */ + BN_nnmod(bn_result, bn_A, bn_prime, bn_ctx); + if (BN_is_zero(bn_result)) { + BN_free(bn_b); + BN_free(bn_verifier); + BN_free(bn_prime); + BN_free(bn_A); + BN_CTX_free(bn_ctx); + + return atom_error; + } + + /* (A * v^u) */ + bn_base = BN_new(); + BN_mod_exp(bn_base, bn_verifier, bn_u, bn_prime, bn_ctx); + BN_mod_mul(bn_base, bn_A, bn_base, bn_prime, bn_ctx); + + /* (A * v^u) ^ b % N */ + BN_mod_exp(bn_result, bn_base, bn_b, bn_prime, bn_ctx); + + dlen = BN_num_bytes(bn_result); + ptr = enif_make_new_binary(env, dlen, &ret); + BN_bn2bin(bn_result, ptr); + BN_free(bn_result); + BN_CTX_free(bn_ctx); + + BN_free(bn_u); + BN_free(bn_base); + BN_free(bn_verifier); + BN_free(bn_prime); + BN_free(bn_A); + BN_free(bn_b); + return ret; +} + static ERL_NIF_TERM bf_cfb64_crypt(ErlNifEnv* env, int argc, const ERL_NIF_TERM argv[]) {/* (Key, Ivec, Data, IsEncrypt) */ ErlNifBinary key_bin, ivec_bin, data_bin; diff --git a/lib/crypto/doc/src/crypto.xml b/lib/crypto/doc/src/crypto.xml index 6b9b2ef207..d4224e773c 100755 --- a/lib/crypto/doc/src/crypto.xml +++ b/lib/crypto/doc/src/crypto.xml @@ -973,7 +973,17 @@ Mpint() = >]]> using the crypto library.

- + + mod_exp_prime(N, P, M) -> Result + Computes the function: N^P mod M + + N, P, M = binary() + Result = binary() | error + + +

Computes the function N^P mod M.

+ + rsa_sign(DataOrDigest, Key) -> Signature rsa_sign(DigestType, DataOrDigest, Key) -> Signature @@ -1256,6 +1266,82 @@ Mpint() = >]]> + + srp_value_B(Multiplier, Verifier, Generator, Exponent, Prime) -> ValueB + Computes the SRP function: B = k*v + g^b % N + + Verifier (v), Generator (g), Exponent (b), Prime (N), ValueB (B) = binary() + Multiplier (k) = integer() | binary() + + +

Computes the SRP value B according to RFC-2945, Sect. 3 and RFC-5054, Sect. 2.5.3

+

B = k*v + g^b % N

+ + + + + srp_client_secret(A, U, B, Multiplier, Generator, Exponent, Prime) -> Secret + Computes the SRP client secret + + A (a), U (u), B, Multiplier (k), Generator (g), Exponent (x), Prime (N), Secret = binary() + Multiplier (k) = integer() | binary() + + +

Computes the SRP client secret according to RFC-2945, Sect. 3 and RFC-5054, Sect. 2.6

+

Secret = (B - (k * g^x)) ^ (a + (u * x)) % N

+ + + + + srp_server_secret(Verifier, B, U, A, Prime) -> Secret + Computes the SRP host secret + + Verifier (v), B (b), U (u), A, Prime (N), Secret = binary() + + +

Computes the SRP host secret according to RFC-2945, Sect. 3 and RFC-5054, Sect. 2.6

+

Secret = (A * v^u) ^ b % N

+ + + + + srp3_value_u(B) -> Result + Computes the SRP3-SHA value u + + B = binary() + Result = integer() + + +

Computes the SRP-3 value u according to RFC-2945, Sect. 3 +

+ + + + + srp6_value_u(A, B, Prime) -> Result + Computes the SRP6a value u as u = SHA1(PAD(A) | PAD(B)) + + A, B, Prime = binary() + Result = integer() + + +

Computes the SRP-6 value u according to RFC-5054, Sect. 2.6 +

+ + + + + srp6a_multiplier(Generator, Prime) -> Result + Computes the SRP-SHA function: k = SHA1(N | PAD(g)) + + Generator, Prime = binary() + Result = integer() + + +

Computes the SRP-6a function SHA1(N | PAD(g)) as the multiplier +

+ + exor(Data1, Data2) -> Result diff --git a/lib/crypto/src/crypto.erl b/lib/crypto/src/crypto.erl index f5c1cd2845..0a0ebc05c4 100644 --- a/lib/crypto/src/crypto.erl +++ b/lib/crypto/src/crypto.erl @@ -57,7 +57,11 @@ -export([dh_generate_key/1, dh_generate_key/2, dh_compute_key/3]). -export([rand_bytes/1, rand_bytes/3, rand_uniform/2]). -export([strong_rand_bytes/1, strong_rand_mpint/3]). --export([mod_exp/3, mpint/1, erlint/1]). +-export([mod_exp/3, mod_exp_prime/3, mpint/1, erlint/1]). +-export([srp_value_B/5]). +-export([srp3_value_u/1, srp6_value_u/3, srp6a_multiplier/2]). +-export([srp_client_secret/7, srp_server_secret/5]). + %% -export([idea_cbc_encrypt/3, idea_cbc_decrypt/3]). -export([aes_cbc_128_encrypt/3, aes_cbc_128_decrypt/3]). -export([aes_cbc_256_encrypt/3, aes_cbc_256_decrypt/3]). @@ -88,7 +92,7 @@ strong_rand_bytes, strong_rand_mpint, rand_uniform, - mod_exp, + mod_exp, mod_exp_prime, dss_verify,dss_sign, rsa_verify,rsa_sign, rsa_public_encrypt,rsa_private_decrypt, @@ -109,6 +113,9 @@ hash, hash_init, hash_update, hash_final, hmac, hmac_init, hmac_update, hmac_final, hmac_final_n, info, rc2_cbc_encrypt, rc2_cbc_decrypt, + srp_value_B, + srp3_value_u, srp6_value_u, srp6a_multiplier, + srp_client_secret, srp_server_secret, info_lib]). -type rsa_digest_type() :: 'md5' | 'sha' | 'sha224' | 'sha256' | 'sha384' | 'sha512'. @@ -783,7 +790,7 @@ rand_uniform_pos(_,_) -> rand_uniform_nif(_From,_To) -> ?nif_stub. %% -%% mod_exp - utility for rsa generation +%% mod_exp - utility for rsa generation and SRP %% mod_exp(Base, Exponent, Modulo) when is_integer(Base), is_integer(Exponent), is_integer(Modulo) -> @@ -792,6 +799,11 @@ mod_exp(Base, Exponent, Modulo) mod_exp(Base, Exponent, Modulo) -> mod_exp_nif(mpint_to_bin(Base),mpint_to_bin(Exponent),mpint_to_bin(Modulo), 4). +-spec mod_exp_prime(binary(), binary(), binary()) -> binary(). +mod_exp_prime(Base, Exponent, Prime) -> + case mod_exp_nif(Base, Exponent, Prime, 0) of + <<0>> -> error; + R -> R end. @@ -1062,10 +1074,63 @@ dh_compute_key(OthersPublicKey, MyPrivateKey, DHParameters) -> dh_compute_key_nif(_OthersPublicKey, _MyPrivateKey, _DHParameters) -> ?nif_stub. + +-spec srp_value_B(binary(), integer(), binary(), binary(), binary()) -> binary(). +srp_value_B(Multiplier, Verifier, Generator, Exponent, Prime) -> + srp_value_B_nif(srp_multiplier(Multiplier), Verifier, Generator, Exponent, Prime). + +srp_value_B_nif(_Multiplier, _Verifier, _Generator, _Exponent, _Prime) -> ?nif_stub. + +-spec srp_client_secret(binary(), binary(), binary(), integer()|binary(), binary(), binary(), binary()) -> binary(). +srp_client_secret(A, U, B, Multiplier, Generator, Exponent, Prime) -> + srp_client_secret_nif(A, U, B, srp_multiplier(Multiplier), Generator, Exponent, Prime). + +srp_client_secret_nif(_A, _U, _B, _Multiplier, _Generator, _Exponent, _Prime) -> ?nif_stub. + +-spec srp_server_secret(binary(), binary(), binary(), binary(), binary()) -> binary(). +srp_server_secret(_Verifier, _B, _U, _A, _Prime) -> ?nif_stub. + +-spec srp6a_multiplier(binary(), binary()) -> binary(). +srp6a_multiplier(Generator, Prime) -> + %% k = SHA1(N | PAD(g)) + C0 = sha_init(), + C1 = sha_update(C0, Prime), + C2 = sha_update(C1, srp_pad_to(erlang:byte_size(Prime), Generator)), + sha_final(C2). + +-spec srp3_value_u(binary()) -> binary(). +srp3_value_u(B) -> + %% The parameter u is a 32-bit unsigned integer which takes its value + %% from the first 32 bits of the SHA1 hash of B, MSB first. + <> = sha(B), + U. + +-spec srp6_value_u(binary(), binary(), binary()) -> binary(). +srp6_value_u(A, B, Prime) -> + %% SHA1(PAD(A) | PAD(B)) + PadLength = erlang:byte_size(Prime), + C0 = sha_init(), + C1 = sha_update(C0, srp_pad_to(PadLength, A)), + C2 = sha_update(C1, srp_pad_to(PadLength, B)), + sha_final(C2). + %% %% LOCAL FUNCTIONS %% +srp_pad_length(Width, Length) -> + (Width - Length rem Width) rem Width. + +srp_pad_to(Width, Binary) -> + case srp_pad_length(Width, size(Binary)) of + 0 -> Binary; + N -> << 0:(N*8), Binary/binary>> + end. + +srp_multiplier(Multiplier) when is_binary(Multiplier) -> + Multiplier; +srp_multiplier(Multiplier) when is_integer(Multiplier) -> + int_to_bin_pos(Multiplier). %% large integer in a binary with 32bit length %% MP representaion (SSH2) diff --git a/lib/crypto/test/crypto_SUITE.erl b/lib/crypto/test/crypto_SUITE.erl index 6f2df0f07b..4cfd3544f2 100644 --- a/lib/crypto/test/crypto_SUITE.erl +++ b/lib/crypto/test/crypto_SUITE.erl @@ -72,6 +72,7 @@ dsa_sign_hash_test/1, rsa_encrypt_decrypt/1, dh/1, + srp3/1, srp6/1, srp6a/1, exor_test/1, rc4_test/1, rc4_stream_test/1, @@ -100,7 +101,7 @@ groups() -> rand_uniform_test, strong_rand_test, rsa_verify_test, dsa_verify_test, rsa_sign_test, rsa_sign_hash_test, dsa_sign_test, dsa_sign_hash_test, - rsa_encrypt_decrypt, dh, exor_test, + rsa_encrypt_decrypt, dh, srp3, srp6, srp6a, exor_test, rc4_test, rc4_stream_test, mod_exp_test, blowfish_cfb64, smp]}]. @@ -2017,6 +2018,157 @@ dh(Config) when is_list(Config) -> exit(Pid, kill) end. +srp3(doc) -> + ["SRP-3 test vectors generated by http://srp.stanford.edu/demo/demo.html"]; +srp3(suite) -> []; +srp3(Config) when is_list(Config) -> + Username = <<"alice">>, + Password = <<"password123">>, + Salt = hexstr2bin("2857827A19266A1F2BC6"), + Prime = hexstr2bin("EEAF0AB9ADB38DD69C33F80AFA8FC5E86072618775FF3C0B9EA2314C" + "9C256576D674DF7496EA81D3383B4813D692C6E0E0D5D8E250B98BE4" + "8E495C1D6089DAD15DC7D7B46154D6B6CE8EF4AD69B15D4982559B29" + "7BCF1885C529F566660E57EC68EDBC3C05726CC02FD4CBF4976EAA9A" + "FD5138FE8376435B9FC61D2FC0EB06E3"), + Generator = <<2>>, + Multiplier = 1, + %% X = hexstr2bin("96E54AB0CD4C5123EDCFA4A1502918AAD3C9E2A8"), + Verifier = hexstr2bin("96EB5F13621D911AA1CA405DE9C64217D4108EEEECAFFE500034FE0E" + "C031E42C8714667C161BCE0E7996F7DDE1B63824C130D2D7286C08C0" + "49758420735961347112AE102A3F23B3F687F8FEE0DF2BFAF933C608" + "D6FE5B5EEE3116FE54016E065BF8E8C9FDBBC08719231AC215149140" + "519E8FDD9AA4F410C28A58AF42974D2D"), + ClntPriv = hexstr2bin("6411DE75538BED8170677D577D0608F39112BC95B503C447EB6AC945" + "49C75C7B"), + SrvrPriv = hexstr2bin("85E44A6F694DBE676145DB245A045CD37C99F05C562C7840A31F270D" + "9AADCF8B"), + ClntPub = hexstr2bin("B22B1FFA2244B8CB94F3A9080F419CAEAB0DBA93EA1965B5E84587EE" + "55C79E7A118865DC59B9D0353362C2A8261E7C1B0D221A0E233C2AD1" + "640DACBB8664CBC9733EAC392DA7800142860380C3FC573C3C064329" + "CF54063FD114C7210E9CB3A611EA8002B1844B698F930D95D143899B" + "948A090E0C25938E5F84067D1883DC63"), + SrvrPub = hexstr2bin("93A8C4D8B7F7395ADCFD4ABA37B015124513D3F37B3E85EB23064BE5" + "F53C0AE32FFB9D8C0AA0DCFFA74D632DD67DEBB5C35AAE9812286CC8" + "C43CC176ECBC6D3F447594D9554E995B2509127BF88FADDDA4982D03" + "8EC3001320712D3B1269308CE70F319B2295FA57674F03A2D993CFB1" + "F84C35B7D0C012FA73CD4C8F7D5A71C7"), + U = hexstr2bin("02E2476A"), + + PremasterSecret = hexstr2bin("C29A986C4D521BBC66428ED11D994CD7431574A6184B83CDCC345092" + "791E75748A1D38CAC4BD14760F0D2694B711236419240FF2F172454C" + "46ABF4FF39498DAFDD2C82924F7D7BD76CDFCE688C77D93F18A65409" + "9176A9192615DC0277AE7C12F1F6A7F6563FCA11675D809AF578BDE5" + "2B51E05D440B63099A017A0B45044801"), + UserPassHash = crypto:sha([Salt, crypto:sha([Username, <<$:>>, Password])]), + m(crypto:mod_exp_prime(Generator, UserPassHash, Prime), Verifier), + m(crypto:mod_exp_prime(Generator, ClntPriv, Prime), ClntPub), + m(crypto:srp3_value_u(SrvrPub), U), + m(crypto:srp_value_B(Multiplier, Verifier, Generator, SrvrPriv, Prime), SrvrPub), + m(crypto:srp_client_secret(ClntPriv, U, SrvrPub, Multiplier, Generator, UserPassHash, Prime), PremasterSecret), + m(crypto:srp_server_secret(Verifier, SrvrPriv, U, ClntPub, Prime), PremasterSecret), + ok. + +srp6(doc) -> + ["SRP-6 test vectors generated by http://srp.stanford.edu/demo/demo.html"]; +srp6(suite) -> []; +srp6(Config) when is_list(Config) -> + Username = <<"alice">>, + Password = <<"password123">>, + Salt = hexstr2bin("2857827A19266A1F2BC6"), + Prime = hexstr2bin("EEAF0AB9ADB38DD69C33F80AFA8FC5E86072618775FF3C0B9EA2314C" + "9C256576D674DF7496EA81D3383B4813D692C6E0E0D5D8E250B98BE4" + "8E495C1D6089DAD15DC7D7B46154D6B6CE8EF4AD69B15D4982559B29" + "7BCF1885C529F566660E57EC68EDBC3C05726CC02FD4CBF4976EAA9A" + "FD5138FE8376435B9FC61D2FC0EB06E3"), + Generator = <<2>>, + Multiplier = 3, + %% X = hexstr2bin("96E54AB0CD4C5123EDCFA4A1502918AAD3C9E2A8"), + Verifier = hexstr2bin("96EB5F13621D911AA1CA405DE9C64217D4108EEEECAFFE500034FE0E" + "C031E42C8714667C161BCE0E7996F7DDE1B63824C130D2D7286C08C0" + "49758420735961347112AE102A3F23B3F687F8FEE0DF2BFAF933C608" + "D6FE5B5EEE3116FE54016E065BF8E8C9FDBBC08719231AC215149140" + "519E8FDD9AA4F410C28A58AF42974D2D"), + ClntPriv = hexstr2bin("6411DE75538BED8170677D577D0608F39112BC95B503C447EB6AC945" + "49C75C7B"), + SrvrPriv = hexstr2bin("85E44A6F694DBE676145DB245A045CD37C99F05C562C7840A31F270D" + "9AADCF8B"), + ClntPub = hexstr2bin("B22B1FFA2244B8CB94F3A9080F419CAEAB0DBA93EA1965B5E84587EE" + "55C79E7A118865DC59B9D0353362C2A8261E7C1B0D221A0E233C2AD1" + "640DACBB8664CBC9733EAC392DA7800142860380C3FC573C3C064329" + "CF54063FD114C7210E9CB3A611EA8002B1844B698F930D95D143899B" + "948A090E0C25938E5F84067D1883DC63"), + SrvrPub = hexstr2bin("D2D07845CE7ECDB9845DD36B10ACD3598CC29049DE9F467F84CE16B6" + "D97A6DC567AF8B0F9FEDF74962400AD5C357951E64E67B641246F264" + "C8DE6D9A72E554D6C8D3194548780A0C438A0FCC509CA88A14AA1DEB" + "C0F09E4B37A965D1545DB4AD361346F3189B0EA569C06D326C4E4797" + "9E381C748293B7C0591BE0BE419E053E"), + U = hexstr2bin("0A2534C0BF52A0DA9001EEC62CF2A546AB0908A7"), + + PremasterSecret = hexstr2bin("19D22C19612874EBF1F2581F8EFCFDC44C6FDA3B87B0A73823D7E962" + "554295D4E48D3A336523ADBDDD0EC8FB0F02687109E97E01C17C93CC" + "7216F9CD8A4AC39F0429857D8D1023066614BDFCBCB89F59A0FEB81C" + "72E992AAD89095A84B6A5FADA152369AB1E350A03693BEF044DF3EDF" + "0C34741F4696C30E9F675D09F58ACBEB"), + UserPassHash = crypto:sha([Salt, crypto:sha([Username, <<$:>>, Password])]), + m(crypto:mod_exp_prime(Generator, UserPassHash, Prime), Verifier), + m(crypto:mod_exp_prime(Generator, ClntPriv, Prime), ClntPub), + m(crypto:srp6_value_u(ClntPub, SrvrPub, Prime), U), + m(crypto:srp_value_B(Multiplier, Verifier, Generator, SrvrPriv, Prime), SrvrPub), + m(crypto:srp_client_secret(ClntPriv, U, SrvrPub, Multiplier, Generator, UserPassHash, Prime), PremasterSecret), + m(crypto:srp_server_secret(Verifier, SrvrPriv, U, ClntPub, Prime), PremasterSecret), + ok. + +srp6a(doc) -> + ["SRP-6a test vectors from RFC5054."]; +srp6a(suite) -> []; +srp6a(Config) when is_list(Config) -> + Username = <<"alice">>, + Password = <<"password123">>, + Salt = hexstr2bin("BEB25379D1A8581EB5A727673A2441EE"), + Prime = hexstr2bin("EEAF0AB9ADB38DD69C33F80AFA8FC5E86072618775FF3C0B9EA2314C" + "9C256576D674DF7496EA81D3383B4813D692C6E0E0D5D8E250B98BE4" + "8E495C1D6089DAD15DC7D7B46154D6B6CE8EF4AD69B15D4982559B29" + "7BCF1885C529F566660E57EC68EDBC3C05726CC02FD4CBF4976EAA9A" + "FD5138FE8376435B9FC61D2FC0EB06E3"), + Generator = <<2>>, + Multiplier = hexstr2bin("7556AA045AEF2CDD07ABAF0F665C3E818913186F"), + %% X = hexstr2bin("94B7555AABE9127CC58CCF4993DB6CF84D16C124"), + Verifier = hexstr2bin("7E273DE8696FFC4F4E337D05B4B375BEB0DDE1569E8FA00A9886D812" + "9BADA1F1822223CA1A605B530E379BA4729FDC59F105B4787E5186F5" + "C671085A1447B52A48CF1970B4FB6F8400BBF4CEBFBB168152E08AB5" + "EA53D15C1AFF87B2B9DA6E04E058AD51CC72BFC9033B564E26480D78" + "E955A5E29E7AB245DB2BE315E2099AFB"), + ClntPriv = hexstr2bin("60975527035CF2AD1989806F0407210BC81EDC04E2762A56AFD529DD" + "DA2D4393"), + SrvrPriv = hexstr2bin("E487CB59D31AC550471E81F00F6928E01DDA08E974A004F49E61F5D1" + "05284D20"), + ClntPub = hexstr2bin("61D5E490F6F1B79547B0704C436F523DD0E560F0C64115BB72557EC4" + "4352E8903211C04692272D8B2D1A5358A2CF1B6E0BFCF99F921530EC" + "8E39356179EAE45E42BA92AEACED825171E1E8B9AF6D9C03E1327F44" + "BE087EF06530E69F66615261EEF54073CA11CF5858F0EDFDFE15EFEA" + "B349EF5D76988A3672FAC47B0769447B"), + SrvrPub = hexstr2bin("BD0C61512C692C0CB6D041FA01BB152D4916A1E77AF46AE105393011" + "BAF38964DC46A0670DD125B95A981652236F99D9B681CBF87837EC99" + "6C6DA04453728610D0C6DDB58B318885D7D82C7F8DEB75CE7BD4FBAA" + "37089E6F9C6059F388838E7A00030B331EB76840910440B1B27AAEAE" + "EB4012B7D7665238A8E3FB004B117B58"), + U = hexstr2bin("CE38B9593487DA98554ED47D70A7AE5F462EF019"), + + PremasterSecret = hexstr2bin("B0DC82BABCF30674AE450C0287745E7990A3381F63B387AAF271A10D" + "233861E359B48220F7C4693C9AE12B0A6F67809F0876E2D013800D6C" + "41BB59B6D5979B5C00A172B4A2A5903A0BDCAF8A709585EB2AFAFA8F" + "3499B200210DCC1F10EB33943CD67FC88A2F39A4BE5BEC4EC0A3212D" + "C346D7E474B29EDE8A469FFECA686E5A"), + UserPassHash = crypto:sha([Salt, crypto:sha([Username, <<$:>>, Password])]), + m(crypto:mod_exp_prime(Generator, UserPassHash, Prime), Verifier), + m(crypto:mod_exp_prime(Generator, ClntPriv, Prime), ClntPub), + m(crypto:srp6a_multiplier(Generator, Prime), Multiplier), + m(crypto:srp6_value_u(ClntPub, SrvrPub, Prime), U), + m(crypto:srp_value_B(Multiplier, Verifier, Generator, SrvrPriv, Prime), SrvrPub), + m(crypto:srp_client_secret(ClntPriv, U, SrvrPub, Multiplier, Generator, UserPassHash, Prime), PremasterSecret), + m(crypto:srp_server_secret(Verifier, SrvrPriv, U, ClntPub, Prime), PremasterSecret), + ok. + %% %% exor_test(doc) -> -- cgit v1.2.3