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/*
* ElGamal
* (C) 1999-2007 Jack Lloyd
*
* Botan is released under the Simplified BSD License (see license.txt)
*/
#include <botan/elgamal.h>
#include <botan/internal/pk_ops_impl.h>
#include <botan/keypair.h>
#include <botan/reducer.h>
#include <botan/blinding.h>
#include <botan/workfactor.h>
namespace Botan {
/*
* ElGamal_PublicKey Constructor
*/
ElGamal_PublicKey::ElGamal_PublicKey(const DL_Group& grp, const BigInt& y1)
{
m_group = grp;
m_y = y1;
}
/*
* ElGamal_PrivateKey Constructor
*/
ElGamal_PrivateKey::ElGamal_PrivateKey(RandomNumberGenerator& rng,
const DL_Group& grp,
const BigInt& x_arg)
{
m_group = grp;
m_x = x_arg;
if(m_x == 0)
m_x.randomize(rng, dl_exponent_size(group_p().bits()));
m_y = power_mod(group_g(), m_x, group_p());
}
ElGamal_PrivateKey::ElGamal_PrivateKey(const AlgorithmIdentifier& alg_id,
const secure_vector<uint8_t>& key_bits) :
DL_Scheme_PrivateKey(alg_id, key_bits, DL_Group::ANSI_X9_42)
{
m_y = power_mod(group_g(), m_x, group_p());
}
/*
* Check Private ElGamal Parameters
*/
bool ElGamal_PrivateKey::check_key(RandomNumberGenerator& rng,
bool strong) const
{
if(!DL_Scheme_PrivateKey::check_key(rng, strong))
return false;
if(!strong)
return true;
return KeyPair::encryption_consistency_check(rng, *this, "EME1(SHA-256)");
}
namespace {
/**
* ElGamal encryption operation
*/
class ElGamal_Encryption_Operation : public PK_Ops::Encryption_with_EME
{
public:
size_t max_raw_input_bits() const override { return m_mod_p.get_modulus().bits() - 1; }
ElGamal_Encryption_Operation(const ElGamal_PublicKey& key, const std::string& eme);
secure_vector<uint8_t> raw_encrypt(const uint8_t msg[], size_t msg_len,
RandomNumberGenerator& rng) override;
private:
Fixed_Base_Power_Mod m_powermod_g_p, m_powermod_y_p;
Modular_Reducer m_mod_p;
};
ElGamal_Encryption_Operation::ElGamal_Encryption_Operation(const ElGamal_PublicKey& key,
const std::string& eme) :
PK_Ops::Encryption_with_EME(eme)
{
const BigInt& p = key.group_p();
m_powermod_g_p = Fixed_Base_Power_Mod(key.group_g(), p);
m_powermod_y_p = Fixed_Base_Power_Mod(key.get_y(), p);
m_mod_p = Modular_Reducer(p);
}
secure_vector<uint8_t>
ElGamal_Encryption_Operation::raw_encrypt(const uint8_t msg[], size_t msg_len,
RandomNumberGenerator& rng)
{
const BigInt& p = m_mod_p.get_modulus();
BigInt m(msg, msg_len);
if(m >= p)
throw Invalid_Argument("ElGamal encryption: Input is too large");
BigInt k(rng, dl_exponent_size(p.bits()));
BigInt a = m_powermod_g_p(k);
BigInt b = m_mod_p.multiply(m, m_powermod_y_p(k));
secure_vector<uint8_t> output(2*p.bytes());
a.binary_encode(&output[p.bytes() - a.bytes()]);
b.binary_encode(&output[output.size() / 2 + (p.bytes() - b.bytes())]);
return output;
}
/**
* ElGamal decryption operation
*/
class ElGamal_Decryption_Operation : public PK_Ops::Decryption_with_EME
{
public:
size_t max_raw_input_bits() const override
{ return m_mod_p.get_modulus().bits() - 1; }
ElGamal_Decryption_Operation(const ElGamal_PrivateKey& key,
const std::string& eme,
RandomNumberGenerator& rng);
secure_vector<uint8_t> raw_decrypt(const uint8_t msg[], size_t msg_len) override;
private:
Fixed_Exponent_Power_Mod m_powermod_x_p;
Modular_Reducer m_mod_p;
Blinder m_blinder;
};
ElGamal_Decryption_Operation::ElGamal_Decryption_Operation(const ElGamal_PrivateKey& key,
const std::string& eme,
RandomNumberGenerator& rng) :
PK_Ops::Decryption_with_EME(eme),
m_powermod_x_p(Fixed_Exponent_Power_Mod(key.get_x(), key.group_p())),
m_mod_p(Modular_Reducer(key.group_p())),
m_blinder(key.group_p(),
rng,
[](const BigInt& k) { return k; },
[this](const BigInt& k) { return m_powermod_x_p(k); })
{
}
secure_vector<uint8_t>
ElGamal_Decryption_Operation::raw_decrypt(const uint8_t msg[], size_t msg_len)
{
const BigInt& p = m_mod_p.get_modulus();
const size_t p_bytes = p.bytes();
if(msg_len != 2 * p_bytes)
throw Invalid_Argument("ElGamal decryption: Invalid message");
BigInt a(msg, p_bytes);
BigInt b(msg + p_bytes, p_bytes);
if(a >= p || b >= p)
throw Invalid_Argument("ElGamal decryption: Invalid message");
a = m_blinder.blind(a);
BigInt r = m_mod_p.multiply(b, inverse_mod(m_powermod_x_p(a), p));
return BigInt::encode_1363(m_blinder.unblind(r), p_bytes);
}
}
std::unique_ptr<PK_Ops::Encryption>
ElGamal_PublicKey::create_encryption_op(RandomNumberGenerator& /*rng*/,
const std::string& params,
const std::string& provider) const
{
if(provider == "base" || provider.empty())
return std::unique_ptr<PK_Ops::Encryption>(new ElGamal_Encryption_Operation(*this, params));
throw Provider_Not_Found(algo_name(), provider);
}
std::unique_ptr<PK_Ops::Decryption>
ElGamal_PrivateKey::create_decryption_op(RandomNumberGenerator& rng,
const std::string& params,
const std::string& provider) const
{
if(provider == "base" || provider.empty())
return std::unique_ptr<PK_Ops::Decryption>(new ElGamal_Decryption_Operation(*this, params, rng));
throw Provider_Not_Found(algo_name(), provider);
}
}
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