/* * DSA * (C) 1999-2010,2014 Jack Lloyd * * Botan is released under the Simplified BSD License (see license.txt) */ #include #include #include #include #include #include #include namespace Botan { /* * DSA_PublicKey Constructor */ DSA_PublicKey::DSA_PublicKey(const DL_Group& grp, const BigInt& y1) { m_group = grp; m_y = y1; } /* * Create a DSA private key */ DSA_PrivateKey::DSA_PrivateKey(RandomNumberGenerator& rng, const DL_Group& grp, const BigInt& x_arg) { m_group = grp; m_x = x_arg; if(m_x == 0) m_x = BigInt::random_integer(rng, 2, group_q() - 1); m_y = power_mod(group_g(), m_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) { m_y = power_mod(group_g(), m_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) || m_x >= group_q()) return false; if(!strong) return true; return KeyPair::signature_consistency_check(rng, *this, "EMSA1(SHA-1)"); } namespace { /** * Object that can create a DSA signature */ class DSA_Signature_Operation : public PK_Ops::Signature_with_EMSA { public: typedef DSA_PrivateKey Key_Type; DSA_Signature_Operation(const DSA_PrivateKey& dsa, const std::string& emsa) : PK_Ops::Signature_with_EMSA(emsa), m_q(dsa.group_q()), m_x(dsa.get_x()), m_powermod_g_p(dsa.group_g(), dsa.group_p()), m_mod_q(dsa.group_q()), m_hash(hash_for_deterministic_signature(emsa)) { } size_t message_parts() const override { return 2; } size_t message_part_size() const override { return m_q.bytes(); } size_t max_input_bits() const override { return m_q.bits(); } secure_vector raw_sign(const byte msg[], size_t msg_len, RandomNumberGenerator& rng) override; private: const BigInt& m_q; const BigInt& m_x; Fixed_Base_Power_Mod m_powermod_g_p; Modular_Reducer m_mod_q; std::string m_hash; }; secure_vector DSA_Signature_Operation::raw_sign(const byte msg[], size_t msg_len, RandomNumberGenerator&) { BigInt i(msg, msg_len); while(i >= m_q) i -= m_q; const BigInt k = generate_rfc6979_nonce(m_x, m_q, i, m_hash); auto future_r = std::async(std::launch::async, [&]() { return m_mod_q.reduce(m_powermod_g_p(k)); }); BigInt s = inverse_mod(k, m_q); const BigInt r = future_r.get(); s = m_mod_q.multiply(s, mul_add(m_x, r, i)); // With overwhelming probability, a bug rather than actual zero r/s BOTAN_ASSERT(s != 0, "invalid s"); BOTAN_ASSERT(r != 0, "invalid r"); secure_vector output(2*m_q.bytes()); r.binary_encode(&output[output.size() / 2 - r.bytes()]); s.binary_encode(&output[output.size() - s.bytes()]); return output; } /** * Object that can verify a DSA signature */ class DSA_Verification_Operation : public PK_Ops::Verification_with_EMSA { public: typedef DSA_PublicKey Key_Type; DSA_Verification_Operation(const DSA_PublicKey& dsa, const std::string& emsa) : PK_Ops::Verification_with_EMSA(emsa), m_q(dsa.group_q()), m_y(dsa.get_y()), m_powermod_g_p{Fixed_Base_Power_Mod(dsa.group_g(), dsa.group_p())}, m_powermod_y_p{Fixed_Base_Power_Mod(m_y, dsa.group_p())}, m_mod_p{Modular_Reducer(dsa.group_p())}, m_mod_q{Modular_Reducer(dsa.group_q())} {} size_t message_parts() const override { return 2; } size_t message_part_size() const override { return m_q.bytes(); } size_t max_input_bits() const override { return m_q.bits(); } bool with_recovery() const override { return false; } bool verify(const byte msg[], size_t msg_len, const byte sig[], size_t sig_len) override; private: const BigInt& m_q; const BigInt& m_y; Fixed_Base_Power_Mod m_powermod_g_p, m_powermod_y_p; Modular_Reducer m_mod_p, m_mod_q; }; bool DSA_Verification_Operation::verify(const byte msg[], size_t msg_len, const byte sig[], size_t sig_len) { if(sig_len != 2*m_q.bytes() || msg_len > m_q.bytes()) return false; BigInt r(sig, m_q.bytes()); BigInt s(sig + m_q.bytes(), m_q.bytes()); BigInt i(msg, msg_len); if(r <= 0 || r >= m_q || s <= 0 || s >= m_q) return false; s = inverse_mod(s, m_q); auto future_s_i = std::async(std::launch::async, [&]() { return m_powermod_g_p(m_mod_q.multiply(s, i)); }); BigInt s_r = m_powermod_y_p(m_mod_q.multiply(s, r)); BigInt s_i = future_s_i.get(); s = m_mod_p.multiply(s_i, s_r); return (m_mod_q.reduce(s) == r); } BOTAN_REGISTER_PK_SIGNATURE_OP("DSA", DSA_Signature_Operation); BOTAN_REGISTER_PK_VERIFY_OP("DSA", DSA_Verification_Operation); } }