conterm/libsec/rsagen.c

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2005-08-08 16:50:13 +04:00
#include "os.h"
#include <mp.h>
#include <libsec.h>
static void
genrand(mpint *p, int n)
{
mpdigit x;
// generate n random bits with high set
mpbits(p, n);
genrandom((uchar*)p->p, (n+7)/8);
p->top = (n+Dbits-1)/Dbits;
x = 1;
x <<= ((n-1)%Dbits);
p->p[p->top-1] &= (x-1);
p->p[p->top-1] |= x;
}
RSApriv*
rsagen(int nlen, int elen, int rounds)
{
mpint *p, *q, *e, *d, *phi, *n, *t1, *t2, *kp, *kq, *c2;
RSApriv *rsa;
p = mpnew(nlen/2);
q = mpnew(nlen/2);
n = mpnew(nlen);
e = mpnew(elen);
d = mpnew(0);
phi = mpnew(nlen);
// create the prime factors and euclid's function
genstrongprime(p, nlen/2, rounds);
genstrongprime(q, nlen - mpsignif(p) + 1, rounds);
mpmul(p, q, n);
mpsub(p, mpone, e);
mpsub(q, mpone, d);
mpmul(e, d, phi);
// find an e relatively prime to phi
t1 = mpnew(0);
t2 = mpnew(0);
genrand(e, elen);
for(;;){
mpextendedgcd(e, phi, d, t1, t2);
if(mpcmp(d, mpone) == 0)
break;
mpadd(mpone, e, e);
}
mpfree(t1);
mpfree(t2);
// d = e**-1 mod phi
mpinvert(e, phi, d);
// compute chinese remainder coefficient
c2 = mpnew(0);
mpinvert(p, q, c2);
// for crt a**k mod p == (a**(k mod p-1)) mod p
kq = mpnew(0);
kp = mpnew(0);
mpsub(p, mpone, phi);
mpmod(d, phi, kp);
mpsub(q, mpone, phi);
mpmod(d, phi, kq);
rsa = rsaprivalloc();
rsa->pub.ek = e;
rsa->pub.n = n;
rsa->dk = d;
rsa->kp = kp;
rsa->kq = kq;
rsa->p = p;
rsa->q = q;
rsa->c2 = c2;
mpfree(phi);
return rsa;
}