sm2.cpp

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/*
* SM2 Signatures
* (C) 2017,2018 Ribose Inc
* (C) 2018 Jack Lloyd
*
* Botan is released under the Simplified BSD License (see license.txt)
*/
 
#include <botan/sm2.h>
 
#include <botan/hash.h>
#include <botan/numthry.h>
#include <botan/internal/keypair.h>
#include <botan/internal/loadstor.h>
#include <botan/internal/parsing.h>
#include <botan/internal/pk_ops_impl.h>
#include <botan/internal/point_mul.h>
 
namespace Botan {
 
std::string SM2_PublicKey::algo_name() const {
   return "SM2";
}
 
std::unique_ptr<Public_Key> SM2_PrivateKey::public_key() const {
   return std::make_unique<SM2_Signature_PublicKey>(domain(), public_point());
}
 
bool SM2_PrivateKey::check_key(RandomNumberGenerator& rng, bool strong) const {
   if(!EC_PrivateKey::check_key(rng, strong)) {
      return false;
   }
 
   // SM2 has an oddity in private key generation when compared to
   // other EC*DSA style signature algorithms described in ISO14888-3:
   // the private key x MUST be in ]0, q-1[ instead of ]0, q[.
   if(m_private_key < 1 || m_private_key >= m_domain_params.get_order() - 1) {
      return false;
   }
 
   if(!strong) {
      return true;
   }
 
   return KeyPair::signature_consistency_check(rng, *this, "user@example.com,SM3");
}
 
SM2_PrivateKey::SM2_PrivateKey(const AlgorithmIdentifier& alg_id, std::span<const uint8_t> key_bits) :
      EC_PrivateKey(alg_id, key_bits) {
   m_da_inv = domain().inverse_mod_order(m_private_key + 1);
}
 
SM2_PrivateKey::SM2_PrivateKey(RandomNumberGenerator& rng, const EC_Group& domain, const BigInt& x) :
      EC_PrivateKey(rng, domain, x) {
   m_da_inv = domain.inverse_mod_order(m_private_key + 1);
}
 
std::vector<uint8_t> sm2_compute_za(HashFunction& hash,
                                    std::string_view user_id,
                                    const EC_Group& domain,
                                    const EC_Point& pubkey) {
   if(user_id.size() >= 8192) {
      throw Invalid_Argument("SM2 user id too long to represent");
   }
 
   const uint16_t uid_len = static_cast<uint16_t>(8 * user_id.size());
 
   hash.update(get_byte<0>(uid_len));
   hash.update(get_byte<1>(uid_len));
   hash.update(user_id);
 
   const size_t p_bytes = domain.get_p_bytes();
 
   hash.update(BigInt::encode_1363(domain.get_a(), p_bytes));
   hash.update(BigInt::encode_1363(domain.get_b(), p_bytes));
   hash.update(BigInt::encode_1363(domain.get_g_x(), p_bytes));
   hash.update(BigInt::encode_1363(domain.get_g_y(), p_bytes));
   hash.update(BigInt::encode_1363(pubkey.get_affine_x(), p_bytes));
   hash.update(BigInt::encode_1363(pubkey.get_affine_y(), p_bytes));
 
   std::vector<uint8_t> za(hash.output_length());
   hash.final(za.data());
 
   return za;
}
 
namespace {
 
/**
* SM2 signature operation
*/
class SM2_Signature_Operation final : public PK_Ops::Signature {
   public:
      SM2_Signature_Operation(const SM2_PrivateKey& sm2, std::string_view ident, std::string_view hash) :
            m_group(sm2.domain()), m_x(sm2.private_value()), m_da_inv(sm2.get_da_inv()) {
         if(hash == "Raw") {
            // m_hash is null, m_za is empty
         } else {
            m_hash = HashFunction::create_or_throw(hash);
            // ZA=H256(ENTLA || IDA || a || b || xG || yG || xA || yA)
            m_za = sm2_compute_za(*m_hash, ident, m_group, sm2.public_point());
            m_hash->update(m_za);
         }
      }
 
      size_t signature_length() const override { return 2 * m_group.get_order_bytes(); }
 
      void update(const uint8_t msg[], size_t msg_len) override {
         if(m_hash) {
            m_hash->update(msg, msg_len);
         } else {
            m_digest.insert(m_digest.end(), msg, msg + msg_len);
         }
      }
 
      secure_vector<uint8_t> sign(RandomNumberGenerator& rng) override;
 
      std::string hash_function() const override { return m_hash ? m_hash->name() : "Raw"; }
 
   private:
      const EC_Group m_group;
      const BigInt m_x;
      const BigInt m_da_inv;
 
      std::vector<uint8_t> m_za;
      secure_vector<uint8_t> m_digest;
      std::unique_ptr<HashFunction> m_hash;
      std::vector<BigInt> m_ws;
};
 
secure_vector<uint8_t> SM2_Signature_Operation::sign(RandomNumberGenerator& rng) {
   BigInt e;
   if(m_hash) {
      e = BigInt::decode(m_hash->final());
      // prepend ZA for next signature if any
      m_hash->update(m_za);
   } else {
      e = BigInt::decode(m_digest);
      m_digest.clear();
   }
 
   const BigInt k = m_group.random_scalar(rng);
 
   const BigInt r = m_group.mod_order(m_group.blinded_base_point_multiply_x(k, rng, m_ws) + e);
   const BigInt s = m_group.multiply_mod_order(m_da_inv, m_group.mod_order(k - r * m_x));
 
   return BigInt::encode_fixed_length_int_pair(r, s, m_group.get_order().bytes());
}
 
/**
* SM2 verification operation
*/
class SM2_Verification_Operation final : public PK_Ops::Verification {
   public:
      SM2_Verification_Operation(const SM2_PublicKey& sm2, std::string_view ident, std::string_view hash) :
            m_group(sm2.domain()), m_gy_mul(m_group.get_base_point(), sm2.public_point()) {
         if(hash == "Raw") {
            // m_hash is null, m_za is empty
         } else {
            m_hash = HashFunction::create_or_throw(hash);
            // ZA=H256(ENTLA || IDA || a || b || xG || yG || xA || yA)
            m_za = sm2_compute_za(*m_hash, ident, m_group, sm2.public_point());
            m_hash->update(m_za);
         }
      }
 
      void update(const uint8_t msg[], size_t msg_len) override {
         if(m_hash) {
            m_hash->update(msg, msg_len);
         } else {
            m_digest.insert(m_digest.end(), msg, msg + msg_len);
         }
      }
 
      bool is_valid_signature(const uint8_t sig[], size_t sig_len) override;
 
      std::string hash_function() const override { return m_hash ? m_hash->name() : "Raw"; }
 
   private:
      const EC_Group m_group;
      const EC_Point_Multi_Point_Precompute m_gy_mul;
      secure_vector<uint8_t> m_digest;
      std::vector<uint8_t> m_za;
      std::unique_ptr<HashFunction> m_hash;
};
 
bool SM2_Verification_Operation::is_valid_signature(const uint8_t sig[], size_t sig_len) {
   BigInt e;
   if(m_hash) {
      e = BigInt::decode(m_hash->final());
      // prepend ZA for next signature if any
      m_hash->update(m_za);
   } else {
      e = BigInt::decode(m_digest);
      m_digest.clear();
   }
 
   if(sig_len != m_group.get_order().bytes() * 2) {
      return false;
   }
 
   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 t = m_group.mod_order(r + s);
 
   if(t == 0) {
      return false;
   }
 
   const EC_Point R = m_gy_mul.multi_exp(s, t);
 
   // ???
   if(R.is_zero()) {
      return false;
   }
 
   return (m_group.mod_order(R.get_affine_x() + e) == r);
}
 
void parse_sm2_param_string(std::string_view params, std::string& userid, std::string& hash) {
   // GM/T 0009-2012 specifies this as the default userid
   const std::string default_userid = "1234567812345678";
 
   // defaults:
   userid = default_userid;
   hash = "SM3";
 
   /*
   * SM2 parameters have the following possible formats:
   * Ident [since 2.2.0]
   * Ident,Hash [since 2.3.0]
   */
 
   auto comma = params.find(',');
   if(comma == std::string::npos) {
      userid = params;
   } else {
      userid = params.substr(0, comma);
      hash = params.substr(comma + 1, std::string::npos);
   }
}
 
}  // namespace
 
std::unique_ptr<Private_Key> SM2_PublicKey::generate_another(RandomNumberGenerator& rng) const {
   return std::make_unique<SM2_PrivateKey>(rng, domain());
}
 
std::unique_ptr<PK_Ops::Verification> SM2_PublicKey::create_verification_op(std::string_view params,
                                                                            std::string_view provider) const {
   if(provider == "base" || provider.empty()) {
      std::string userid, hash;
      parse_sm2_param_string(params, userid, hash);
      return std::make_unique<SM2_Verification_Operation>(*this, userid, hash);
   }
 
   throw Provider_Not_Found(algo_name(), provider);
}
 
std::unique_ptr<PK_Ops::Signature> SM2_PrivateKey::create_signature_op(RandomNumberGenerator& /*rng*/,
                                                                       std::string_view params,
                                                                       std::string_view provider) const {
   if(provider == "base" || provider.empty()) {
      std::string userid, hash;
      parse_sm2_param_string(params, userid, hash);
      return std::make_unique<SM2_Signature_Operation>(*this, userid, hash);
   }
 
   throw Provider_Not_Found(algo_name(), provider);
}
 
}  // namespace Botan