/* * ECKCDSA (ISO/IEC 14888-3:2006/Cor.2:2009) * (C) 2016 René Korthaus, Sirrix AG * (C) 2018 Jack Lloyd * * Botan is released under the Simplified BSD License (see license.txt) */ #include #include #include #include #include #include #include #include namespace Botan { bool ECKCDSA_PrivateKey::check_key(RandomNumberGenerator& rng, bool strong) const { if(!public_point().on_the_curve()) { return false; } if(!strong) { return true; } return KeyPair::signature_consistency_check(rng, *this, "EMSA1(SHA-256)"); } namespace { /** * ECKCDSA signature operation */ class ECKCDSA_Signature_Operation final : public PK_Ops::Signature_with_EMSA { public: ECKCDSA_Signature_Operation(const ECKCDSA_PrivateKey& eckcdsa, const std::string& emsa) : PK_Ops::Signature_with_EMSA(emsa), m_group(eckcdsa.domain()), m_x(eckcdsa.private_value()), m_prefix() { const BigInt public_point_x = eckcdsa.public_point().get_affine_x(); const BigInt public_point_y = eckcdsa.public_point().get_affine_y(); m_prefix.resize(public_point_x.bytes() + public_point_y.bytes()); public_point_x.binary_encode(m_prefix.data()); public_point_y.binary_encode(&m_prefix[public_point_x.bytes()]); m_prefix.resize(HashFunction::create(hash_for_signature())->hash_block_size()); // use only the "hash input block size" leftmost bits } secure_vector raw_sign(const uint8_t msg[], size_t msg_len, RandomNumberGenerator& rng) override; size_t signature_length() const override { return 2*m_group.get_order_bytes(); } size_t max_input_bits() const override { return m_group.get_order_bits(); } bool has_prefix() override { return true; } secure_vector message_prefix() const override { return m_prefix; } private: const EC_Group m_group; const BigInt& m_x; secure_vector m_prefix; std::vector m_ws; }; secure_vector ECKCDSA_Signature_Operation::raw_sign(const uint8_t msg[], size_t, RandomNumberGenerator& rng) { const BigInt k = m_group.random_scalar(rng); const BigInt k_times_P_x = m_group.blinded_base_point_multiply_x(k, rng, m_ws); secure_vector to_be_hashed(k_times_P_x.bytes()); k_times_P_x.binary_encode(to_be_hashed.data()); std::unique_ptr emsa = this->clone_emsa(); emsa->update(to_be_hashed.data(), to_be_hashed.size()); secure_vector c = emsa->raw_data(); c = emsa->encoding_of(c, max_input_bits(), rng); const BigInt r(c.data(), c.size()); xor_buf(c, msg, c.size()); BigInt w(c.data(), c.size()); w = m_group.mod_order(w); const BigInt s = m_group.multiply_mod_order(m_x, k - w); if(s.is_zero()) throw Internal_Error("During ECKCDSA signature generation created zero s"); secure_vector output = BigInt::encode_1363(r, c.size()); output += BigInt::encode_1363(s, m_group.get_order_bytes()); return output; } /** * ECKCDSA verification operation */ class ECKCDSA_Verification_Operation final : public PK_Ops::Verification_with_EMSA { public: ECKCDSA_Verification_Operation(const ECKCDSA_PublicKey& eckcdsa, const std::string& emsa) : PK_Ops::Verification_with_EMSA(emsa), m_group(eckcdsa.domain()), m_gy_mul(m_group.get_base_point(), eckcdsa.public_point()), m_prefix() { const BigInt public_point_x = eckcdsa.public_point().get_affine_x(); const BigInt public_point_y = eckcdsa.public_point().get_affine_y(); m_prefix.resize(public_point_x.bytes() + public_point_y.bytes()); public_point_x.binary_encode(&m_prefix[0]); public_point_y.binary_encode(&m_prefix[public_point_x.bytes()]); m_prefix.resize(HashFunction::create(hash_for_signature())->hash_block_size()); // use only the "hash input block size" leftmost bits } bool has_prefix() override { return true; } secure_vector message_prefix() const override { return m_prefix; } size_t max_input_bits() const override { return m_group.get_order_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 EC_Group m_group; const PointGFp_Multi_Point_Precompute m_gy_mul; secure_vector m_prefix; }; bool ECKCDSA_Verification_Operation::verify(const uint8_t msg[], size_t, const uint8_t sig[], size_t sig_len) { const std::unique_ptr hash = HashFunction::create(hash_for_signature()); //calculate size of r const size_t order_bytes = m_group.get_order_bytes(); const size_t size_r = std::min(hash -> output_length(), order_bytes); if(sig_len != size_r + order_bytes) { return false; } secure_vector r(sig, sig + size_r); // check that 0 < s < q const BigInt s(sig + size_r, order_bytes); if(s <= 0 || s >= m_group.get_order()) { return false; } secure_vector r_xor_e(r); xor_buf(r_xor_e, msg, r.size()); BigInt w(r_xor_e.data(), r_xor_e.size()); w = m_group.mod_order(w); const PointGFp q = m_gy_mul.multi_exp(w, s); const BigInt q_x = q.get_affine_x(); secure_vector c(q_x.bytes()); q_x.binary_encode(c.data()); std::unique_ptr emsa = this->clone_emsa(); emsa->update(c.data(), c.size()); secure_vector v = emsa->raw_data(); Null_RNG rng; v = emsa->encoding_of(v, max_input_bits(), rng); return (v == r); } } std::unique_ptr ECKCDSA_PublicKey::create_verification_op(const std::string& params, const std::string& provider) const { if(provider == "base" || provider.empty()) return std::unique_ptr(new ECKCDSA_Verification_Operation(*this, params)); throw Provider_Not_Found(algo_name(), provider); } std::unique_ptr ECKCDSA_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 ECKCDSA_Signature_Operation(*this, params)); throw Provider_Not_Found(algo_name(), provider); } }