/* * DSA * (C) 1999-2010 Jack Lloyd * * Distributed under the terms of the Botan license */ #include #include #include #include namespace Botan { /* * DSA_PublicKey Constructor */ DSA_PublicKey::DSA_PublicKey(const DL_Group& grp, const BigInt& y1) { group = grp; y = y1; } /* * Create a DSA private key */ DSA_PrivateKey::DSA_PrivateKey(RandomNumberGenerator& rng, const DL_Group& grp, const BigInt& x_arg) { group = grp; x = x_arg; if(x == 0) x = BigInt::random_integer(rng, 2, group_q() - 1); y = power_mod(group_g(), x, group_p()); if(x_arg == 0) gen_check(rng); else load_check(rng); } DSA_PrivateKey::DSA_PrivateKey(const AlgorithmIdentifier& alg_id, const secure_vector& key_bits, RandomNumberGenerator& rng) : DL_Scheme_PrivateKey(alg_id, key_bits, DL_Group::ANSI_X9_57) { y = power_mod(group_g(), x, group_p()); load_check(rng); } /* * Check Private DSA Parameters */ bool DSA_PrivateKey::check_key(RandomNumberGenerator& rng, bool strong) const { if(!DL_Scheme_PrivateKey::check_key(rng, strong) || x >= group_q()) return false; if(!strong) return true; return KeyPair::signature_consistency_check(rng, *this, "EMSA1(SHA-1)"); } DSA_Signature_Operation::DSA_Signature_Operation(const DSA_PrivateKey& dsa) : q(dsa.group_q()), x(dsa.get_x()), powermod_g_p(dsa.group_g(), dsa.group_p()), mod_q(dsa.group_q()) { } secure_vector DSA_Signature_Operation::sign(const byte msg[], size_t msg_len, RandomNumberGenerator& rng) { rng.add_entropy(msg, msg_len); BigInt i(msg, msg_len); BigInt r = 0, s = 0; while(r == 0 || s == 0) { BigInt k; do k.randomize(rng, q.bits()); while(k >= q); auto future_r = std::async(std::launch::async, [&]() { return mod_q.reduce(powermod_g_p(k)); }); s = inverse_mod(k, q); r = future_r.get(); s = mod_q.multiply(s, mul_add(x, r, i)); } secure_vector output(2*q.bytes()); r.binary_encode(&output[output.size() / 2 - r.bytes()]); s.binary_encode(&output[output.size() - s.bytes()]); return output; } DSA_Verification_Operation::DSA_Verification_Operation(const DSA_PublicKey& dsa) : q(dsa.group_q()), y(dsa.get_y()) { powermod_g_p = Fixed_Base_Power_Mod(dsa.group_g(), dsa.group_p()); powermod_y_p = Fixed_Base_Power_Mod(y, dsa.group_p()); mod_p = Modular_Reducer(dsa.group_p()); mod_q = Modular_Reducer(dsa.group_q()); } bool DSA_Verification_Operation::verify(const byte msg[], size_t msg_len, const byte sig[], size_t sig_len) { const BigInt& q = mod_q.get_modulus(); if(sig_len != 2*q.bytes() || msg_len > q.bytes()) return false; BigInt r(sig, q.bytes()); BigInt s(sig + q.bytes(), q.bytes()); BigInt i(msg, msg_len); if(r <= 0 || r >= q || s <= 0 || s >= q) return false; s = inverse_mod(s, q); auto future_s_i = std::async(std::launch::async, [&]() { return powermod_g_p(mod_q.multiply(s, i)); }); BigInt s_r = powermod_y_p(mod_q.multiply(s, r)); BigInt s_i = future_s_i.get(); s = mod_p.multiply(s_i, s_r); return (mod_q.reduce(s) == r); } }