/* * ElGamal * (C) 1999-2007 Jack Lloyd * * Botan is released under the Simplified BSD License (see license.txt) */ #include #include #include #include #include #include namespace Botan { /* * ElGamal_PublicKey Constructor */ ElGamal_PublicKey::ElGamal_PublicKey(const DL_Group& grp, const BigInt& y1) { m_group = grp; m_y = y1; } /* * ElGamal_PrivateKey Constructor */ ElGamal_PrivateKey::ElGamal_PrivateKey(RandomNumberGenerator& rng, const DL_Group& grp, const BigInt& x_arg) { m_group = grp; m_x = x_arg; if(m_x == 0) m_x.randomize(rng, dl_exponent_size(group_p().bits())); m_y = power_mod(group_g(), m_x, group_p()); } ElGamal_PrivateKey::ElGamal_PrivateKey(const AlgorithmIdentifier& alg_id, const secure_vector& key_bits) : DL_Scheme_PrivateKey(alg_id, key_bits, DL_Group::ANSI_X9_42) { m_y = power_mod(group_g(), m_x, group_p()); } /* * Check Private ElGamal Parameters */ bool ElGamal_PrivateKey::check_key(RandomNumberGenerator& rng, bool strong) const { if(!DL_Scheme_PrivateKey::check_key(rng, strong)) return false; if(!strong) return true; return KeyPair::encryption_consistency_check(rng, *this, "EME1(SHA-256)"); } namespace { /** * ElGamal encryption operation */ class ElGamal_Encryption_Operation : public PK_Ops::Encryption_with_EME { public: typedef ElGamal_PublicKey Key_Type; size_t max_raw_input_bits() const override { return m_mod_p.get_modulus().bits() - 1; } ElGamal_Encryption_Operation(const ElGamal_PublicKey& key, const std::string& eme); secure_vector raw_encrypt(const byte msg[], size_t msg_len, RandomNumberGenerator& rng) override; private: Fixed_Base_Power_Mod m_powermod_g_p, m_powermod_y_p; Modular_Reducer m_mod_p; }; ElGamal_Encryption_Operation::ElGamal_Encryption_Operation(const ElGamal_PublicKey& key, const std::string& eme) : PK_Ops::Encryption_with_EME(eme) { const BigInt& p = key.group_p(); m_powermod_g_p = Fixed_Base_Power_Mod(key.group_g(), p); m_powermod_y_p = Fixed_Base_Power_Mod(key.get_y(), p); m_mod_p = Modular_Reducer(p); } secure_vector ElGamal_Encryption_Operation::raw_encrypt(const byte msg[], size_t msg_len, RandomNumberGenerator& rng) { const BigInt& p = m_mod_p.get_modulus(); BigInt m(msg, msg_len); if(m >= p) throw Invalid_Argument("ElGamal encryption: Input is too large"); BigInt k(rng, dl_exponent_size(p.bits())); BigInt a = m_powermod_g_p(k); BigInt b = m_mod_p.multiply(m, m_powermod_y_p(k)); secure_vector output(2*p.bytes()); a.binary_encode(&output[p.bytes() - a.bytes()]); b.binary_encode(&output[output.size() / 2 + (p.bytes() - b.bytes())]); return output; } /** * ElGamal decryption operation */ class ElGamal_Decryption_Operation : public PK_Ops::Decryption_with_EME { public: typedef ElGamal_PrivateKey Key_Type; size_t max_raw_input_bits() const override { return m_mod_p.get_modulus().bits() - 1; } ElGamal_Decryption_Operation(const ElGamal_PrivateKey& key, const std::string& eme, RandomNumberGenerator& rng); secure_vector raw_decrypt(const byte msg[], size_t msg_len) override; private: Fixed_Exponent_Power_Mod m_powermod_x_p; Modular_Reducer m_mod_p; Blinder m_blinder; }; ElGamal_Decryption_Operation::ElGamal_Decryption_Operation(const ElGamal_PrivateKey& key, const std::string& eme, RandomNumberGenerator& rng) : PK_Ops::Decryption_with_EME(eme), m_powermod_x_p(Fixed_Exponent_Power_Mod(key.get_x(), key.group_p())), m_mod_p(Modular_Reducer(key.group_p())), m_blinder(key.group_p(), rng, [](const BigInt& k) { return k; }, [this](const BigInt& k) { return m_powermod_x_p(k); }) { } secure_vector ElGamal_Decryption_Operation::raw_decrypt(const byte msg[], size_t msg_len) { const BigInt& p = m_mod_p.get_modulus(); const size_t p_bytes = p.bytes(); if(msg_len != 2 * p_bytes) throw Invalid_Argument("ElGamal decryption: Invalid message"); BigInt a(msg, p_bytes); BigInt b(msg + p_bytes, p_bytes); if(a >= p || b >= p) throw Invalid_Argument("ElGamal decryption: Invalid message"); a = m_blinder.blind(a); BigInt r = m_mod_p.multiply(b, inverse_mod(m_powermod_x_p(a), p)); return BigInt::encode_1363(m_blinder.unblind(r), p_bytes); } } std::unique_ptr ElGamal_PublicKey::create_encryption_op(RandomNumberGenerator& /*rng*/, const std::string& params, const std::string& provider) const { if(provider == "base" || provider.empty()) return std::unique_ptr(new ElGamal_Encryption_Operation(*this, params)); throw Provider_Not_Found(algo_name(), provider); } std::unique_ptr ElGamal_PrivateKey::create_decryption_op(RandomNumberGenerator& rng, const std::string& params, const std::string& provider) const { if(provider == "base" || provider.empty()) return std::unique_ptr(new ElGamal_Decryption_Operation(*this, params, rng)); throw Provider_Not_Found(algo_name(), provider); } }