ecies.cpp

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/*
* ECIES
* (C) 2016 Philipp Weber
* (C) 2016 Daniel Neus, Rohde & Schwarz Cybersecurity
*
* Botan is released under the Simplified BSD License (see license.txt)
*/

#include <botan/ecies.h>
#include <botan/numthry.h>
#include <botan/cipher_mode.h>
#include <botan/mac.h>

#include <botan/internal/ct_utils.h>
#include <botan/internal/pk_ops_impl.h>

namespace Botan {

namespace {

/**
* Private key type for ECIES_ECDH_KA_Operation
*/
class ECIES_PrivateKey final : public EC_PrivateKey, public PK_Key_Agreement_Key
   {
   public:
      explicit ECIES_PrivateKey(const ECDH_PrivateKey& private_key) :
         EC_PublicKey(private_key),
         EC_PrivateKey(private_key),
         PK_Key_Agreement_Key(),
         m_key(private_key)
         {
         }

      std::vector<uint8_t> public_value() const override
         {
         return m_key.public_value();
         }

      std::string algo_name() const override
         {
         return "ECIES";
         }

      std::unique_ptr<PK_Ops::Key_Agreement>
         create_key_agreement_op(RandomNumberGenerator& rng,
                                 const std::string& params,
                                 const std::string& provider) const override;

   private:
      ECDH_PrivateKey m_key;
   };

/**
* Implements ECDH key agreement without using the cofactor mode
*/
class ECIES_ECDH_KA_Operation final : public PK_Ops::Key_Agreement_with_KDF
   {
   public:
      ECIES_ECDH_KA_Operation(const ECIES_PrivateKey& private_key, RandomNumberGenerator& rng) :
         PK_Ops::Key_Agreement_with_KDF("Raw"),
         m_key(private_key),
         m_rng(rng)
         {
         }

      secure_vector<uint8_t> raw_agree(const uint8_t w[], size_t w_len) override
         {
         const EC_Group& group = m_key.domain();

         PointGFp input_point = group.OS2ECP(w, w_len);
         input_point.randomize_repr(m_rng);

         const PointGFp S = group.blinded_var_point_multiply(
            input_point, m_key.private_value(), m_rng, m_ws);

         if(S.on_the_curve() == false)
            throw Internal_Error("ECDH agreed value was not on the curve");
         return BigInt::encode_1363(S.get_affine_x(), group.get_p_bytes());
         }

   private:
      ECIES_PrivateKey m_key;
      RandomNumberGenerator& m_rng;
      std::vector<BigInt> m_ws;
   };

std::unique_ptr<PK_Ops::Key_Agreement>
ECIES_PrivateKey::create_key_agreement_op(RandomNumberGenerator& rng,
                                          const std::string& /*params*/,
                                          const std::string& /*provider*/) const
   {
   return std::unique_ptr<PK_Ops::Key_Agreement>(new ECIES_ECDH_KA_Operation(*this, rng));
   }

/**
* Creates a PK_Key_Agreement instance for the given key and ecies_params
* Returns either ECIES_ECDH_KA_Operation or the default implementation for the given key,
* depending on the key and ecies_params
* @param private_key the private key used for the key agreement
* @param ecies_params settings for ecies
* @param for_encryption disable cofactor mode if the secret will be used for encryption
* (according to ISO 18033 cofactor mode is only used during decryption)
*/
PK_Key_Agreement create_key_agreement(const PK_Key_Agreement_Key& private_key,
                                      const ECIES_KA_Params& ecies_params,
                                      bool for_encryption,
                                      RandomNumberGenerator& rng)
   {
   const ECDH_PrivateKey* ecdh_key = dynamic_cast<const ECDH_PrivateKey*>(&private_key);

   if(ecdh_key == nullptr && (ecies_params.cofactor_mode() || ecies_params.old_cofactor_mode()
                              || ecies_params.check_mode()))
      {
      // assume we have a private key from an external provider (e.g. pkcs#11):
      // there is no way to determine or control whether the provider uses cofactor mode or not.
      // ISO 18033 does not allow cofactor mode in combination with old cofactor mode or check mode
      // => disable cofactor mode, old cofactor mode and check mode for unknown keys/providers (as a precaution).
      throw Invalid_Argument("ECIES: cofactor, old cofactor and check mode are only supported for ECDH_PrivateKey");
      }

   if(ecdh_key && (for_encryption || !ecies_params.cofactor_mode()))
      {
      // ECDH_KA_Operation uses cofactor mode: use own key agreement method if cofactor should not be used.
      return PK_Key_Agreement(ECIES_PrivateKey(*ecdh_key), rng, "Raw");
      }

   return PK_Key_Agreement(private_key, rng, "Raw");            // use default implementation
   }
}

ECIES_KA_Operation::ECIES_KA_Operation(const PK_Key_Agreement_Key& private_key,
                                       const ECIES_KA_Params& ecies_params,
                                       bool for_encryption,
                                       RandomNumberGenerator& rng) :
   m_ka(create_key_agreement(private_key, ecies_params, for_encryption, rng)),
   m_params(ecies_params)
   {
   }

/**
* ECIES secret derivation according to ISO 18033-2
*/
SymmetricKey ECIES_KA_Operation::derive_secret(const std::vector<uint8_t>& eph_public_key_bin,
      const PointGFp& other_public_key_point) const
   {
   if(other_public_key_point.is_zero())
      {
      throw Invalid_Argument("ECIES: other public key point is zero");
      }

   std::unique_ptr<KDF> kdf = Botan::KDF::create_or_throw(m_params.kdf_spec());

   PointGFp other_point = other_public_key_point;

   // ISO 18033: step b
   if(m_params.old_cofactor_mode())
      {
      other_point *= m_params.domain().get_cofactor();
      }

   secure_vector<uint8_t> derivation_input;

   // ISO 18033: encryption step e / decryption step g
   if(!m_params.single_hash_mode())
      {
      derivation_input += eph_public_key_bin;
      }

   // ISO 18033: encryption step f / decryption step h
   std::vector<uint8_t> other_public_key_bin = other_point.encode(m_params.compression_type());
    // Note: the argument `m_params.secret_length()` passed for `key_len` will only be used by providers because
   // "Raw" is passed to the `PK_Key_Agreement` if the implementation of botan is used.
   const SymmetricKey peh = m_ka.derive_key(m_params.domain().get_order().bytes(), other_public_key_bin.data(), other_public_key_bin.size());
   derivation_input.insert(derivation_input.end(), peh.begin(), peh.end());

   // ISO 18033: encryption step g / decryption step i
   return kdf->derive_key(m_params.secret_length(), derivation_input);
   }


ECIES_KA_Params::ECIES_KA_Params(const EC_Group& domain, const std::string& kdf_spec, size_t length,
                                 PointGFp::Compression_Type compression_type, ECIES_Flags flags) :
   m_domain(domain),
   m_kdf_spec(kdf_spec),
   m_length(length),
   m_compression_mode(compression_type),
   m_flags(flags)
   {
   }

ECIES_System_Params::ECIES_System_Params(const EC_Group& domain, const std::string& kdf_spec,
                                         const std::string& dem_algo_spec, size_t dem_key_len,
                                         const std::string& mac_spec, size_t mac_key_len,
                                         PointGFp::Compression_Type compression_type, ECIES_Flags flags) :
   ECIES_KA_Params(domain, kdf_spec, dem_key_len + mac_key_len, compression_type, flags),
   m_dem_spec(dem_algo_spec),
   m_dem_keylen(dem_key_len),
   m_mac_spec(mac_spec),
   m_mac_keylen(mac_key_len)
   {
   // ISO 18033: "At most one of CofactorMode, OldCofactorMode, and CheckMode may be 1."
   if(size_t(cofactor_mode()) + size_t(old_cofactor_mode()) + size_t(check_mode()) > 1)
      {
      throw Invalid_Argument("ECIES: only one of cofactor_mode, old_cofactor_mode and check_mode can be set");
      }
   }

ECIES_System_Params::ECIES_System_Params(const EC_Group& domain, const std::string& kdf_spec,
                                         const std::string& dem_algo_spec, size_t dem_key_len,
                                         const std::string& mac_spec, size_t mac_key_len) :
   ECIES_System_Params(domain, kdf_spec, dem_algo_spec, dem_key_len, mac_spec, mac_key_len, PointGFp::UNCOMPRESSED,
                         ECIES_Flags::NONE)
   {
   }

std::unique_ptr<MessageAuthenticationCode> ECIES_System_Params::create_mac() const
   {
   return Botan::MessageAuthenticationCode::create_or_throw(m_mac_spec);
   }

std::unique_ptr<Cipher_Mode> ECIES_System_Params::create_cipher(Botan::Cipher_Dir direction) const
   {
   return Cipher_Mode::create_or_throw(m_dem_spec, direction);
   }


/*
* ECIES_Encryptor Constructor
*/
ECIES_Encryptor::ECIES_Encryptor(const PK_Key_Agreement_Key& private_key,
                                 const ECIES_System_Params& ecies_params,
                                 RandomNumberGenerator& rng) :
   m_ka(private_key, ecies_params, true, rng),
   m_params(ecies_params),
   m_eph_public_key_bin(private_key.public_value()),    // returns the uncompressed public key, see conversion below
   m_iv(),
   m_other_point(),
   m_label()
   {
   if(ecies_params.compression_type() != PointGFp::UNCOMPRESSED)
      {
      // ISO 18033: step d 
      // convert only if necessary; m_eph_public_key_bin has been initialized with the uncompressed format
      m_eph_public_key_bin = m_params.domain().OS2ECP(m_eph_public_key_bin).encode(ecies_params.compression_type());
      }
   }

/*
* ECIES_Encryptor Constructor
*/
ECIES_Encryptor::ECIES_Encryptor(RandomNumberGenerator& rng, const ECIES_System_Params& ecies_params) :
   ECIES_Encryptor(ECDH_PrivateKey(rng, ecies_params.domain()), ecies_params, rng)
   {
   }


/*
* ECIES Encryption according to ISO 18033-2
*/
std::vector<uint8_t> ECIES_Encryptor::enc(const uint8_t data[], size_t length, RandomNumberGenerator&) const
   {
   if(m_other_point.is_zero())
      {
      throw Invalid_State("ECIES: the other key is zero");
      }

   const SymmetricKey secret_key = m_ka.derive_secret(m_eph_public_key_bin, m_other_point);

   // encryption
   std::unique_ptr<Cipher_Mode> cipher = m_params.create_cipher(ENCRYPTION);
   BOTAN_ASSERT(cipher != nullptr, "Cipher is found");

   cipher->set_key(SymmetricKey(secret_key.begin(), m_params.dem_keylen()));
   if(m_iv.size() != 0)
      {
      cipher->start(m_iv.bits_of());
      }
   secure_vector<uint8_t> encrypted_data(data, data + length);
   cipher->finish(encrypted_data);

   // concat elements
   std::unique_ptr<MessageAuthenticationCode> mac = m_params.create_mac();
   BOTAN_ASSERT(mac != nullptr, "MAC is found");

   secure_vector<uint8_t> out(m_eph_public_key_bin.size() + encrypted_data.size() + mac->output_length());
   buffer_insert(out, 0, m_eph_public_key_bin);
   buffer_insert(out, m_eph_public_key_bin.size(), encrypted_data);

   // mac
   mac->set_key(secret_key.begin() + m_params.dem_keylen(), m_params.mac_keylen());
   mac->update(encrypted_data);
   if(!m_label.empty())
      {
      mac->update(m_label);
      }
   mac->final(out.data() + m_eph_public_key_bin.size() + encrypted_data.size());

   return unlock(out);
   }


ECIES_Decryptor::ECIES_Decryptor(const PK_Key_Agreement_Key& key,
                                 const ECIES_System_Params& ecies_params,
                                 RandomNumberGenerator& rng) :
   m_ka(key, ecies_params, false, rng),
   m_params(ecies_params),
   m_iv(),
   m_label()
   {
   // ISO 18033: "If v > 1 and CheckMode = 0, then we must have gcd(u, v) = 1." (v = index, u= order)
   if(!ecies_params.check_mode())
      {
      const Botan::BigInt& cofactor = m_params.domain().get_cofactor();
      if(cofactor > 1 && Botan::gcd(cofactor, m_params.domain().get_order()) != 1)
         {
         throw Invalid_Argument("ECIES: gcd of cofactor and order must be 1 if check_mode is 0");
         }
      }
   }

/**
* ECIES Decryption according to ISO 18033-2
*/
secure_vector<uint8_t> ECIES_Decryptor::do_decrypt(uint8_t& valid_mask, const uint8_t in[], size_t in_len) const
   {
   size_t point_size = m_params.domain().get_p_bytes();
   if(m_params.compression_type() != PointGFp::COMPRESSED)
      {
      point_size *= 2;          // uncompressed and hybrid contains x AND y
      }
   point_size += 1;                     // format byte

   std::unique_ptr<MessageAuthenticationCode> mac = m_params.create_mac();
   BOTAN_ASSERT(mac != nullptr, "MAC is found");

   if(in_len < point_size + mac->output_length())
      {
      throw Decoding_Error("ECIES decryption: ciphertext is too short");
      }

   // extract data
   const std::vector<uint8_t> other_public_key_bin(in, in + point_size);        // the received (ephemeral) public key
   const std::vector<uint8_t> encrypted_data(in + point_size, in + in_len - mac->output_length());
   const std::vector<uint8_t> mac_data(in + in_len - mac->output_length(), in + in_len);

   // ISO 18033: step a
   PointGFp other_public_key = m_params.domain().OS2ECP(other_public_key_bin);

   // ISO 18033: step b
   if(m_params.check_mode() && !other_public_key.on_the_curve())
      {
      throw Decoding_Error("ECIES decryption: received public key is not on the curve");
      }

   // ISO 18033: step e (and step f because get_affine_x (called by ECDH_KA_Operation::raw_agree) 
   // throws Illegal_Transformation if the point is zero)
   const SymmetricKey secret_key = m_ka.derive_secret(other_public_key_bin, other_public_key);

   // validate mac
   mac->set_key(secret_key.begin() + m_params.dem_keylen(), m_params.mac_keylen());
   mac->update(encrypted_data);
   if(!m_label.empty())
      {
      mac->update(m_label);
      }
   const secure_vector<uint8_t> calculated_mac = mac->final();
   valid_mask = CT::expand_mask<uint8_t>(constant_time_compare(mac_data.data(), calculated_mac.data(), mac_data.size()));

   if(valid_mask)
      {
      // decrypt data
      std::unique_ptr<Cipher_Mode> cipher = m_params.create_cipher(DECRYPTION);
      BOTAN_ASSERT(cipher != nullptr, "Cipher is found");

      cipher->set_key(SymmetricKey(secret_key.begin(), m_params.dem_keylen()));
      if(m_iv.size() != 0)
         {
         cipher->start(m_iv.bits_of());
         }
      
      try
         {
         // the decryption can fail:
         // e.g. Integrity_Failure is thrown if GCM is used and the message does not have a valid tag
         secure_vector<uint8_t> decrypted_data(encrypted_data.begin(), encrypted_data.end());
         cipher->finish(decrypted_data);
         return decrypted_data;
         }
      catch(...)
         {
         valid_mask = 0;
         }
      }
   return secure_vector<uint8_t>();
   }

}