Exemplo n.º 1
0
void pollard(big id,big dl)
{
    int i;
    long iter;
    big_chinese bc;
    big w,Q,R,m,n,q;
    char stack_mem[mr_big_reserve(6,50)];
    memset(stack_mem,0,mr_big_reserve(6,50));

    w=mirvar_mem(stack_mem,0);
    Q=mirvar_mem(stack_mem,1);
    R=mirvar_mem(stack_mem,2);
    m=mirvar_mem(stack_mem,3);
    n=mirvar_mem(stack_mem,4);
    q=mirvar_mem(stack_mem,5);

    copy(id,q);
    crt_init(&bc,np,pp);
    for (i=0;i<np;i++)
    { /* accumulate solutions for each pp */
        copy(p1,w);
        divide(w,pp[i],w);
        powmod(q,w,p,Q);
        powltr(PROOT,w,p,R);
        copy(pp[i],order);
        iter=rho(Q,R,m,n);
        xgcd(m,order,w,w,w);

        mad(w,n,n,order,order,rem[i]);
        printf("%9ld iterations needed\n",iter);
    }
    crt(&bc,rem,dl);  /* apply chinese remainder thereom */
    crt_end(&bc);
}
Exemplo n.º 2
0
void pollard(big id,big dl)
{
    int i;
    long iter;
    big w,Q,R,m,n,q;
    big_chinese bc;
    w=mirvar(0);
    Q=mirvar(0);
    R=mirvar(0);
    m=mirvar(0);
    n=mirvar(0);
    q=mirvar(0);
    
    copy(id,q);
    crt_init(&bc,np,pp);
    for (i=0;i<np;i++)
    { /* accumulate solutions for each pp */
        copy(p1,w);
        divide(w,pp[i],w);
        powmod(q,w,p,Q);
        powltr(PROOT,w,p,R);
        copy(pp[i],order);
        iter=rho(Q,R,m,n);
        xgcd(m,order,w,w,w);
        mad(w,n,n,order,order,rem[i]);
        printf("%9ld iterations needed\n",iter);
    }
    crt(&bc,rem,dl);  /* apply chinese remainder thereom */
    crt_end(&bc);
    mirkill(q);
    mirkill(n);
    mirkill(m);
    mirkill(R);
    mirkill(Q);
    mirkill(w);
}
Exemplo n.º 3
0
int main()
{  /*  decode using private key  */
    int i;
    big e,ep[NP],m,ke,kd,p[NP],kp[NP],mn,mx;
    FILE *ifile;
    FILE *ofile;
    char ifname[13],ofname[13];
    BOOL flo;
    big_chinese ch;
    mip=mirsys(100,0);
    for (i=0;i<NP;i++)
    {
        p[i]=mirvar(0);
        ep[i]=mirvar(0);
        kp[i]=mirvar(0);
    }
    e=mirvar(0);
    m=mirvar(0);
    kd=mirvar(0);
    ke=mirvar(0);
    mn=mirvar(0);
    mx=mirvar(0);
    mip->IOBASE=60;
    if ((ifile=fopen("private.key","r"))==NULL)
    {
        printf("Unable to open file private.key\n");
        return 0;
    }
    for (i=0;i<NP;i++)
    {
        cinnum(p[i],ifile);
    }
    fclose(ifile);
 /* generate public and private keys */
    convert(1,ke);
    for (i=0;i<NP;i++)
    {
        multiply(ke,p[i],ke);
    }
    for (i=0;i<NP;i++)
    { /* kp[i]=(2*(p[i]-1)+1)/3 = 1/3 mod p[i]-1 */
        decr(p[i],1,kd);
        premult(kd,2,kd);
        incr(kd,1,kd);
        subdiv(kd,3,kp[i]);
    }
    crt_init(&ch,NP,p);
    nroot(ke,3,mn);
    multiply(mn,mn,m);
    multiply(mn,m,mx);
    subtract(mx,m,mx);
    do
    { /* get input file */
        printf("file to be decoded = ");
        gets(ifname);
    } while (strlen(ifname)==0);
    strip(ifname);
    strcat(ifname,".rsa");
    printf("output filename = ");
    gets(ofname);
    flo=FALSE;
    if (strlen(ofname)>0) 
    { /* set up output file */
        flo=TRUE;
        ofile=fopen(ofname,"w");
    }
    printf("decoding message\n");
    if ((ifile=fopen(ifname,"r"))==NULL)
    {
        printf("Unable to open file %s\n",ifname);
        return 0;
    }
    forever
    { /* decode line by line */
        mip->IOBASE=60;
        cinnum(m,ifile);
        if (size(m)==0) break;
        for (i=0;i<NP;i++)
            powmod(m,kp[i],p[i],ep[i]);
        crt(&ch,ep,e);    /* Chinese remainder thereom */
        if (compare(e,mx)>=0) divide(e,mn,mn);
        mip->IOBASE=128;
        if (flo) cotnum(e,ofile);
        cotnum(e,stdout);
    }
    crt_end(&ch);
    fclose(ifile);
    if (flo) fclose(ofile);
    printf("message ends\n");
    return 0;
}