12345678910111213141516171819202122232425262728293031323334353637383940414243444546474849505152535455565758596061626364656667686970717273747576777879808182838485868788899091929394959697 |
- #include "os.h"
- #include <mp.h>
- #include <libsec.h>
- // NIST algorithm for generating DSA primes
- // Menezes et al (1997) Handbook of Applied Cryptography, p.151
- // q is a 160-bit prime; p is a 1024-bit prime; q divides p-1
- // arithmetic on unsigned ints mod 2**160, represented
- // as 20-byte, little-endian uchar array
- static void
- Hrand(uchar *s)
- {
- ulong *u = (ulong*)s;
- *u++ = fastrand();
- *u++ = fastrand();
- *u++ = fastrand();
- *u++ = fastrand();
- *u = fastrand();
- }
- static void
- Hincr(uchar *s)
- {
- int i;
- for(i=0; i<20; i++)
- if(++s[i]!=0)
- break;
- }
- // this can run for quite a while; be patient
- void
- DSAprimes(mpint *q, mpint *p, uchar seed[SHA1dlen])
- {
- int i, j, k, n = 6, b = 63;
- uchar s[SHA1dlen], Hs[SHA1dlen], Hs1[SHA1dlen], sj[SHA1dlen], sjk[SHA1dlen];
- mpint *two1023, *mb, *Vk, *W, *X, *q2;
- two1023 = mpnew(1024);
- mpleft(mpone, 1023, two1023);
- mb = mpnew(0);
- mpleft(mpone, b, mb);
- W = mpnew(1024);
- Vk = mpnew(1024);
- X = mpnew(0);
- q2 = mpnew(0);
- forever:
- do{
- Hrand(s);
- memcpy(sj, s, 20);
- sha1(s, 20, Hs, 0);
- Hincr(sj);
- sha1(sj, 20, Hs1, 0);
- for(i=0; i<20; i++)
- Hs[i] ^= Hs1[i];
- Hs[0] |= 1;
- Hs[19] |= 0x80;
- letomp(Hs, 20, q);
- }while(!probably_prime(q, 18));
- if(seed != nil) // allow skeptics to confirm computation
- memmove(seed, s, SHA1dlen);
- i = 0;
- j = 2;
- Hincr(sj);
- mpleft(q, 1, q2);
- while(i<4096){
- memcpy(sjk, sj, 20);
- for(k=0; k <= n; k++){
- sha1(sjk, 20, Hs, 0);
- letomp(Hs, 20, Vk);
- if(k == n)
- mpmod(Vk, mb, Vk);
- mpleft(Vk, 160*k, Vk);
- mpadd(W, Vk, W);
- Hincr(sjk);
- }
- mpadd(W, two1023, X);
- mpmod(X, q2, W);
- mpsub(W, mpone, W);
- mpsub(X, W, p);
- if(mpcmp(p, two1023)>=0 && probably_prime(p, 5))
- goto done;
- i += 1;
- j += n+1;
- for(k=0; k<n+1; k++)
- Hincr(sj);
- }
- goto forever;
- done:
- mpfree(q2);
- mpfree(X);
- mpfree(Vk);
- mpfree(W);
- mpfree(mb);
- mpfree(two1023);
- }
|