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rsa.cpp
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151 lines (121 loc) · 3.54 KB
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#include "rsa.h"
rsaKey::rsaKey()
{
mod =0 ;
value = 0;
}
rsaKey::~rsaKey()
{
}
void rsaGenKeys(rsaPrivKey& privKey, rsaPubKey& pubKey)
{
static gmp_randclass rndState(gmp_randinit_mt);
static bool initialized = false;
if( !initialized )
{
rndState.seed(time(NULL));
initialized = true;
}
mpz_class P, Q, phi, N, E, D;
do
{
P = rndState.get_z_bits(PRIM_SIZE);
Q = rndState.get_z_bits(PRIM_SIZE);
mpz_nextprime(P.get_mpz_t(), P.get_mpz_t());
mpz_nextprime(Q.get_mpz_t(), Q.get_mpz_t());
N = P * Q;
}
while(mpz_sizeinbase(N.get_mpz_t(), 2) != KEY_SIZE );
phi = (P-1)*(Q-1);
bool isPrimeWithPhi = false;
D = 65535;
while(!isPrimeWithPhi)
{
D += 2;
mpz_class gcd;
mpz_gcd(gcd.get_mpz_t(), D.get_mpz_t(), phi.get_mpz_t());
isPrimeWithPhi = (gcd == 1);
}
mpz_invert(E.get_mpz_t(), D.get_mpz_t(), phi.get_mpz_t());
pubKey.setValue(D,N);
privKey.setValue(E,N);
std::cout << "\nlongueur en bits du module des cles :" << mpz_sizeinbase(N.get_mpz_t(), 2);
}
mpz_class rsaPubKey::enCrypt(const mpz_class M)
{
mpz_class C;
mpz_powm(C.get_mpz_t(), M.get_mpz_t(), value.get_mpz_t(), mod.get_mpz_t());
return C;
}
mpz_class rsaPrivKey::deCrypt(const mpz_class C)
{
mpz_class M;
mpz_powm(M.get_mpz_t(), C.get_mpz_t(), value.get_mpz_t(), mod.get_mpz_t());
return M;
}
rsaCData rsaPubKey::enCrypt(std::vector <byte> message)
{
rsaCData c_message;
c_message.length = message.size();
while(message.size()%WORD_SIZE != 0)
message.push_back(0);
for(int i = 0; i < message.size()/WORD_SIZE; i++)
{
mpz_class numb;
mpz_import(numb.get_mpz_t(), WORD_SIZE, -1, 1, -1, 0, &(message[i*WORD_SIZE]));
c_message.data.push_back(enCrypt(numb));
}
return c_message;
}
std::vector <byte> rsaPrivKey::deCrypt(rsaCData c_message)
{
std::vector <byte> message;
for (int i = 0; i < c_message.data.size(); i++)
{
mpz_class numb = deCrypt(c_message.data[i]);
byte* data = new byte[WORD_SIZE]();
size_t len;
mpz_export(data, &len, -1,1,-1,0,numb.get_mpz_t());
if(len > WORD_SIZE)
std::cout << "\nalerte 2 " << len << ":" << WORD_SIZE;
for(int j = 0; j < WORD_SIZE; j++)
message.push_back(data[j]);
delete data;
}
while(message.size() > c_message.length)
message.pop_back();
return message;
}
std::vector <byte> rsaPubKey::verify(rsaCData c_message)
{
std::vector <byte> message;
for (int i = 0; i < c_message.data.size(); i++)
{
mpz_class numb = enCrypt(c_message.data[i]);
byte* data = new byte[WORD_SIZE]();
size_t len;
mpz_export(data, &len, -1,1,-1,0,numb.get_mpz_t());
if(len > WORD_SIZE)
std::cout << "\nalerte 2 " << len << ":" << WORD_SIZE;
for(int j = 0; j < WORD_SIZE; j++)
message.push_back(data[j]);
delete data;
}
while(message.size() > c_message.length)
message.pop_back();
return message;
}
rsaCData rsaPrivKey::sign(std::vector <byte> message)
{
rsaCData c_message;
c_message.length = message.size();
while(message.size()%WORD_SIZE != 0)
message.push_back(0);
for(int i = 0; i < message.size()/WORD_SIZE; i++)
{
mpz_class numb;
mpz_import(numb.get_mpz_t(), WORD_SIZE, -1, 1, -1, 0, &(message[i*WORD_SIZE]));
c_message.data.push_back(deCrypt(numb));
}
return c_message;
}