/* * ECDSA implemenation * (C) 2007 Manuel Hartl, FlexSecure GmbH * 2007 Falko Strenzke, FlexSecure GmbH * 2008-2010,2015,2016,2018 Jack Lloyd * 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 #endif #if defined(BOTAN_HAS_BEARSSL) #include #endif #if defined(BOTAN_HAS_OPENSSL) #include #endif namespace Botan { bool ECDSA_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 { /** * ECDSA signature operation */ class ECDSA_Signature_Operation final : public PK_Ops::Signature_with_EMSA { public: ECDSA_Signature_Operation(const ECDSA_PrivateKey& ecdsa, const std::string& emsa, RandomNumberGenerator& rng) : PK_Ops::Signature_with_EMSA(emsa), m_group(ecdsa.domain()), m_x(ecdsa.private_value()) { #if defined(BOTAN_HAS_RFC6979_GENERATOR) m_rfc6979_hash = hash_for_emsa(emsa); #endif m_b = m_group.random_scalar(rng); m_b_inv = m_group.inverse_mod_order(m_b); } 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(); } secure_vector raw_sign(const uint8_t msg[], size_t msg_len, RandomNumberGenerator& rng) override; private: const EC_Group m_group; const BigInt& m_x; #if defined(BOTAN_HAS_RFC6979_GENERATOR) std::string m_rfc6979_hash; #endif std::vector m_ws; BigInt m_b, m_b_inv; }; secure_vector ECDSA_Signature_Operation::raw_sign(const uint8_t msg[], size_t msg_len, RandomNumberGenerator& rng) { BigInt m(msg, msg_len, m_group.get_order_bits()); #if defined(BOTAN_HAS_RFC6979_GENERATOR) const BigInt k = generate_rfc6979_nonce(m_x, m_group.get_order(), m, m_rfc6979_hash); #else const BigInt k = m_group.random_scalar(rng); #endif const BigInt r = m_group.mod_order( m_group.blinded_base_point_multiply_x(k, rng, m_ws)); const BigInt k_inv = m_group.inverse_mod_order(k); /* * Blind the input message and compute x*r+m as (x*r*b + m*b)/b */ m_b = m_group.square_mod_order(m_b); m_b_inv = m_group.square_mod_order(m_b_inv); m = m_group.multiply_mod_order(m_b, m_group.mod_order(m)); const BigInt xr_m = m_group.mod_order(m_group.multiply_mod_order(m_x, m_b, r) + m); const BigInt s = m_group.multiply_mod_order(k_inv, xr_m, m_b_inv); // With overwhelming probability, a bug rather than actual zero r/s if(r.is_zero() || s.is_zero()) throw Internal_Error("During ECDSA signature generated zero r/s"); return BigInt::encode_fixed_length_int_pair(r, s, m_group.get_order_bytes()); } /** * ECDSA verification operation */ class ECDSA_Verification_Operation final : public PK_Ops::Verification_with_EMSA { public: ECDSA_Verification_Operation(const ECDSA_PublicKey& ecdsa, const std::string& emsa) : PK_Ops::Verification_with_EMSA(emsa), m_group(ecdsa.domain()), m_gy_mul(m_group.get_base_point(), ecdsa.public_point()) { } 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; }; bool ECDSA_Verification_Operation::verify(const uint8_t msg[], size_t msg_len, const uint8_t sig[], size_t sig_len) { if(sig_len != m_group.get_order_bytes() * 2) return false; const BigInt e(msg, msg_len, m_group.get_order_bits()); const BigInt r(sig, sig_len / 2); const BigInt s(sig + sig_len / 2, sig_len / 2); if(r <= 0 || r >= m_group.get_order() || s <= 0 || s >= m_group.get_order()) return false; const BigInt w = m_group.inverse_mod_order(s); const BigInt u1 = m_group.multiply_mod_order(m_group.mod_order(e), w); const BigInt u2 = m_group.multiply_mod_order(r, w); const PointGFp R = m_gy_mul.multi_exp(u1, u2); if(R.is_zero()) return false; const BigInt v = m_group.mod_order(R.get_affine_x()); return (v == r); } } std::unique_ptr ECDSA_PublicKey::create_verification_op(const std::string& params, const std::string& provider) const { #if defined(BOTAN_HAS_BEARSSL) if(provider == "bearssl" || provider.empty()) { try { return make_bearssl_ecdsa_ver_op(*this, params); } catch(Lookup_Error& e) { if(provider == "bearssl") throw; } } #endif #if defined(BOTAN_HAS_OPENSSL) if(provider == "openssl" || provider.empty()) { try { return make_openssl_ecdsa_ver_op(*this, params); } catch(Lookup_Error& e) { if(provider == "openssl") throw; } } #endif if(provider == "base" || provider.empty()) return std::unique_ptr(new ECDSA_Verification_Operation(*this, params)); throw Provider_Not_Found(algo_name(), provider); } std::unique_ptr ECDSA_PrivateKey::create_signature_op(RandomNumberGenerator& rng, const std::string& params, const std::string& provider) const { #if defined(BOTAN_HAS_BEARSSL) if(provider == "bearssl" || provider.empty()) { try { return make_bearssl_ecdsa_sig_op(*this, params); } catch(Lookup_Error& e) { if(provider == "bearssl") throw; } } #endif #if defined(BOTAN_HAS_OPENSSL) if(provider == "openssl" || provider.empty()) { try { return make_openssl_ecdsa_sig_op(*this, params); } catch(Lookup_Error& e) { if(provider == "openssl") throw; } } #endif if(provider == "base" || provider.empty()) return std::unique_ptr(new ECDSA_Signature_Operation(*this, params, rng)); throw Provider_Not_Found(algo_name(), provider); } }