/* * Nyberg-Rueppel * (C) 1999-2010 Jack Lloyd * * Botan is released under the Simplified BSD License (see license.txt) */ #include #include #include #include #include namespace Botan { NR_PublicKey::NR_PublicKey(const AlgorithmIdentifier& alg_id, const secure_vector& key_bits) : DL_Scheme_PublicKey(alg_id, key_bits, DL_Group::ANSI_X9_57) { } /* * NR_PublicKey Constructor */ NR_PublicKey::NR_PublicKey(const DL_Group& grp, const BigInt& y1) { group = grp; y = y1; } /* * Create a NR private key */ NR_PrivateKey::NR_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); } NR_PrivateKey::NR_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 Nyberg-Rueppel Parameters */ bool NR_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)"); } namespace { /** * Nyberg-Rueppel signature operation */ class NR_Signature_Operation : public PK_Ops::Signature { public: typedef NR_PrivateKey Key_Type; NR_Signature_Operation(const NR_PrivateKey& nr, const std::string&) : q(nr.group_q()), x(nr.get_x()), powermod_g_p(nr.group_g(), nr.group_p()), mod_q(nr.group_q()) { } size_t message_parts() const { return 2; } size_t message_part_size() const { return q.bytes(); } size_t max_input_bits() const { return (q.bits() - 1); } secure_vector sign(const byte msg[], size_t msg_len, RandomNumberGenerator& rng); private: const BigInt& q; const BigInt& x; Fixed_Base_Power_Mod powermod_g_p; Modular_Reducer mod_q; }; secure_vector NR_Signature_Operation::sign(const byte msg[], size_t msg_len, RandomNumberGenerator& rng) { rng.add_entropy(msg, msg_len); BigInt f(msg, msg_len); if(f >= q) throw Invalid_Argument("NR_Signature_Operation: Input is out of range"); BigInt c, d; while(c == 0) { BigInt k; do k.randomize(rng, q.bits()); while(k >= q); c = mod_q.reduce(powermod_g_p(k) + f); d = mod_q.reduce(k - x * c); } secure_vector output(2*q.bytes()); c.binary_encode(&output[output.size() / 2 - c.bytes()]); d.binary_encode(&output[output.size() - d.bytes()]); return output; } /** * Nyberg-Rueppel verification operation */ class NR_Verification_Operation : public PK_Ops::Verification { public: typedef NR_PublicKey Key_Type; NR_Verification_Operation(const NR_PublicKey& nr, const std::string&) : q(nr.group_q()), y(nr.get_y()) { powermod_g_p = Fixed_Base_Power_Mod(nr.group_g(), nr.group_p()); powermod_y_p = Fixed_Base_Power_Mod(y, nr.group_p()); mod_p = Modular_Reducer(nr.group_p()); mod_q = Modular_Reducer(nr.group_q()); } size_t message_parts() const { return 2; } size_t message_part_size() const { return q.bytes(); } size_t max_input_bits() const { return (q.bits() - 1); } bool with_recovery() const { return true; } secure_vector verify_mr(const byte msg[], size_t msg_len); private: const BigInt& q; const BigInt& y; Fixed_Base_Power_Mod powermod_g_p, powermod_y_p; Modular_Reducer mod_p, mod_q; }; secure_vector NR_Verification_Operation::verify_mr(const byte msg[], size_t msg_len) { const BigInt& q = mod_q.get_modulus(); if(msg_len != 2*q.bytes()) throw Invalid_Argument("NR verification: Invalid signature"); BigInt c(msg, q.bytes()); BigInt d(msg + q.bytes(), q.bytes()); if(c.is_zero() || c >= q || d >= q) throw Invalid_Argument("NR verification: Invalid signature"); auto future_y_c = std::async(std::launch::async, powermod_y_p, c); BigInt g_d = powermod_g_p(d); BigInt i = mod_p.multiply(g_d, future_y_c.get()); return BigInt::encode_locked(mod_q.reduce(c - i)); } } BOTAN_REGISTER_PK_SIGNATURE_OP("NR", NR_Signature_Operation); BOTAN_REGISTER_PK_VERIFY_OP("NR", NR_Verification_Operation); }