/* * DSA * (C) 1999-2010,2014,2016 Jack Lloyd * (C) 2016 René Korthaus * * Botan is released under the Simplified BSD License (see license.txt) */ #include #include #include #include #include #include #if defined(BOTAN_HAS_RFC6979_GENERATOR) #include #include #endif 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; if(x_arg == 0) m_x = BigInt::random_integer(rng, 2, group_q()); else m_x = x_arg; m_y = m_group.power_g_p(m_x); } DSA_PrivateKey::DSA_PrivateKey(const AlgorithmIdentifier& alg_id, const secure_vector& key_bits) : DL_Scheme_PrivateKey(alg_id, key_bits, DL_Group::ANSI_X9_57) { m_y = m_group.power_g_p(m_x); } /* * 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-256)"); } namespace { /** * Object that can create a DSA signature */ class DSA_Signature_Operation final : public PK_Ops::Signature_with_EMSA { public: DSA_Signature_Operation(const DSA_PrivateKey& dsa, const std::string& emsa) : PK_Ops::Signature_with_EMSA(emsa), m_group(dsa.get_group()), m_x(dsa.get_x()), m_mod_q(dsa.group_q()) { #if defined(BOTAN_HAS_RFC6979_GENERATOR) m_rfc6979_hash = hash_for_emsa(emsa); #endif } size_t max_input_bits() const override { return m_group.get_q().bits(); } secure_vector raw_sign(const uint8_t msg[], size_t msg_len, RandomNumberGenerator& rng) override; private: const DL_Group m_group; const BigInt& m_x; Modular_Reducer m_mod_q; #if defined(BOTAN_HAS_RFC6979_GENERATOR) std::string m_rfc6979_hash; #endif }; secure_vector DSA_Signature_Operation::raw_sign(const uint8_t msg[], size_t msg_len, RandomNumberGenerator& rng) { const BigInt& q = m_group.get_q(); BigInt i(msg, msg_len, q.bits()); while(i >= q) i -= q; #if defined(BOTAN_HAS_RFC6979_GENERATOR) BOTAN_UNUSED(rng); const BigInt k = generate_rfc6979_nonce(m_x, q, i, m_rfc6979_hash); #else const BigInt k = BigInt::random_integer(rng, 1, q); #endif BigInt s = inverse_mod(k, q); const BigInt r = m_mod_q.reduce(m_group.power_g_p(k)); s = m_mod_q.multiply(s, mul_add(m_x, r, i)); // With overwhelming probability, a bug rather than actual zero r/s if(r.is_zero() || s.is_zero()) throw Internal_Error("Computed zero r/s during DSA signature"); return BigInt::encode_fixed_length_int_pair(r, s, q.bytes()); } /** * Object that can verify a DSA signature */ class DSA_Verification_Operation final : public PK_Ops::Verification_with_EMSA { public: DSA_Verification_Operation(const DSA_PublicKey& dsa, const std::string& emsa) : PK_Ops::Verification_with_EMSA(emsa), m_group(dsa.get_group()), m_y(dsa.get_y()), m_mod_q(dsa.group_q()) {} size_t max_input_bits() const override { return m_group.get_q().bits(); } bool with_recovery() const override { return false; } bool verify(const uint8_t msg[], size_t msg_len, const uint8_t sig[], size_t sig_len) override; private: const DL_Group m_group; const BigInt& m_y; Modular_Reducer m_mod_q; }; bool DSA_Verification_Operation::verify(const uint8_t msg[], size_t msg_len, const uint8_t sig[], size_t sig_len) { const BigInt& q = m_group.get_q(); const size_t q_bytes = q.bytes(); 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, q.bits()); if(r <= 0 || r >= q || s <= 0 || s >= q) return false; s = inverse_mod(s, q); const BigInt sr = m_mod_q.multiply(s, r); const BigInt si = m_mod_q.multiply(s, i); s = m_group.multi_exponentiate(si, m_y, sr); return (m_mod_q.reduce(s) == r); } } std::unique_ptr DSA_PublicKey::create_verification_op(const std::string& params, const std::string& provider) const { if(provider == "base" || provider.empty()) return std::unique_ptr(new DSA_Verification_Operation(*this, params)); throw Provider_Not_Found(algo_name(), provider); } std::unique_ptr DSA_PrivateKey::create_signature_op(RandomNumberGenerator& /*rng*/, const std::string& params, const std::string& provider) const { if(provider == "base" || provider.empty()) return std::unique_ptr(new DSA_Signature_Operation(*this, params)); throw Provider_Not_Found(algo_name(), provider); } }