📄 elgamal.cpp
字号:
// elgamal.cpp - written and placed in the public domain by Wei Dai
#include "pch.h"
#include "elgamal.h"
#include "asn.h"
#include "nbtheory.h"
NAMESPACE_BEGIN(CryptoPP)
ElGamalEncryptor::ElGamalEncryptor(const Integer &p, const Integer &g, const Integer &y)
: m_p(p), m_g(g), m_y(y), m_gpc(p, g), m_ypc(p, y)
{
}
ElGamalEncryptor::ElGamalEncryptor(BufferedTransformation &bt)
{
BERSequenceDecoder seq(bt);
m_p.BERDecode(seq);
m_g.BERDecode(seq);
m_y.BERDecode(seq);
seq.MessageEnd();
m_gpc.SetModulusAndBase(m_p, m_g);
m_ypc.SetModulusAndBase(m_p, m_y);
}
void ElGamalEncryptor::DEREncode(BufferedTransformation &bt) const
{
DERSequenceEncoder seq(bt);
m_p.DEREncode(seq);
m_g.DEREncode(seq);
m_y.DEREncode(seq);
seq.MessageEnd();
}
void ElGamalEncryptor::Precompute(unsigned int precomputationStorage)
{
m_gpc.Precompute(ExponentBitLength(), precomputationStorage);
m_ypc.Precompute(ExponentBitLength(), precomputationStorage);
}
void ElGamalEncryptor::LoadPrecomputation(BufferedTransformation &bt)
{
m_gpc.Load(bt);
m_ypc.Load(bt);
}
void ElGamalEncryptor::SavePrecomputation(BufferedTransformation &bt) const
{
m_gpc.Save(bt);
m_ypc.Save(bt);
}
void ElGamalEncryptor::Encrypt(RandomNumberGenerator &rng, const byte *plainText, unsigned int plainTextLength, byte *cipherText)
{
assert(plainTextLength <= MaxPlainTextLength());
unsigned int modulusLen = m_p.ByteCount();
SecByteBlock block(modulusLen-1);
rng.GetBlock(block, modulusLen-2-plainTextLength);
memcpy(block+modulusLen-2-plainTextLength, plainText, plainTextLength);
block[modulusLen-2] = plainTextLength;
Integer m(block, modulusLen-1);
Integer a,b;
RawEncrypt(Integer(rng, ExponentBitLength()), m, a, b);
a.Encode(cipherText, modulusLen);
b.Encode(cipherText+modulusLen, modulusLen);
}
void ElGamalEncryptor::RawEncrypt(const Integer &k, const Integer &m, Integer &a, Integer &b) const
{
a = m_gpc.Exponentiate(k);
b = m * m_ypc.Exponentiate(k) % m_p;
}
unsigned int ElGamalEncryptor::ExponentBitLength() const
{
return 2*DiscreteLogWorkFactor(m_p.BitCount());
}
// *************************************************************
ElGamalDecryptor::ElGamalDecryptor(const Integer &p, const Integer &g, const Integer &y, const Integer &x)
: ElGamalEncryptor(p, g, y), m_x(x)
{
}
ElGamalDecryptor::ElGamalDecryptor(RandomNumberGenerator &rng, unsigned int pbits)
{
PrimeAndGenerator pg(1, rng, pbits);
m_p = pg.Prime();
m_g = pg.Generator();
m_x.Randomize(rng, ExponentBitLength());
m_gpc.SetModulusAndBase(m_p, m_g);
m_y = m_gpc.Exponentiate(m_x);
m_ypc.SetModulusAndBase(m_p, m_y);
}
ElGamalDecryptor::ElGamalDecryptor(RandomNumberGenerator &rng, const Integer &pIn, const Integer &gIn)
{
m_p = pIn;
m_g = gIn;
m_x.Randomize(rng, ExponentBitLength());
m_gpc.SetModulusAndBase(m_p, m_g);
m_y = m_gpc.Exponentiate(m_x);
m_ypc.SetModulusAndBase(m_p, m_y);
}
ElGamalDecryptor::ElGamalDecryptor(BufferedTransformation &bt)
{
BERSequenceDecoder seq(bt);
m_p.BERDecode(seq);
m_g.BERDecode(seq);
m_y.BERDecode(seq);
m_x.BERDecode(seq);
seq.MessageEnd();
m_gpc.SetModulusAndBase(m_p, m_g);
m_ypc.SetModulusAndBase(m_p, m_y);
}
void ElGamalDecryptor::DEREncode(BufferedTransformation &bt) const
{
DERSequenceEncoder seq(bt);
m_p.DEREncode(seq);
m_g.DEREncode(seq);
m_y.DEREncode(seq);
m_x.DEREncode(seq);
seq.MessageEnd();
}
unsigned int ElGamalDecryptor::Decrypt(const byte *cipherText, byte *plainText)
{
unsigned int modulusLen = m_p.ByteCount();
Integer a(cipherText, modulusLen);
Integer b(cipherText+modulusLen, modulusLen);
Integer m;
RawDecrypt(a, b, m);
m.Encode(plainText, 1);
unsigned int plainTextLength = plainText[0];
if (plainTextLength > MaxPlainTextLength())
return 0;
m >>= 8;
m.Encode(plainText, plainTextLength);
return plainTextLength;
}
void ElGamalDecryptor::RawDecrypt(const Integer &a, const Integer &b, Integer &m) const
{
if (m_x.BitCount()+20 < m_p.BitCount()) // if x is short
m = b * EuclideanMultiplicativeInverse(a_exp_b_mod_c(a, m_x, m_p), m_p) % m_p;
else // save a multiplicative inverse calculation
m = b * a_exp_b_mod_c(a, m_p-1-m_x, m_p) % m_p;
}
NAMESPACE_END
⌨️ 快捷键说明
复制代码
Ctrl + C
搜索代码
Ctrl + F
全屏模式
F11
切换主题
Ctrl + Shift + D
显示快捷键
?
增大字号
Ctrl + =
减小字号
Ctrl + -