Exemplo n.º 1
0
int main()
{ /* program to find a trap-door prime */
    BOOL found;
    int i,spins;
    long seed;
    big pp[NPRIMES],q,p,t;
    FILE *fp;
    mirsys(50,0);
    for (i=0;i<NPRIMES;i++) pp[i]=mirvar(0);
    q=mirvar(0);
    t=mirvar(0);
    p=mirvar(0);
    printf("Enter 9 digit seed= ");
    scanf("%ld",&seed);
    getchar();
    irand(seed);
    printf("Enter 4 digit seed= ");
    scanf("%d",&spins);
    getchar();
    for (i=0;i<spins;i++) brand();
    convert(2,pp[0]);
    do
    {  /* find prime p = 2.pp[1].pp[2]....+1 */
        convert(2,p);
        for (i=1;i<NPRIMES-1;i++)
        { /* generate all but last prime */
            bigdig(i+6,10,q);
            nxprime(q,pp[i]);
            multiply(p,pp[i],p);
        }
        do
        { /* find last prime component such that p is prime */
            nxprime(q,q);
            copy(q,pp[NPRIMES-1]);
            multiply(p,pp[NPRIMES-1],t);
            incr(t,1,t);
        } while(!isprime(t));
        copy(t,p);
        found=TRUE;
        for (i=0;i<NPRIMES;i++)
        { /* check that PROOT is a primitive root */
            decr(p,1,q);
            divide(q,pp[i],q);
            powltr(PROOT,q,p,t);
            if (size(t)==1) 
            {
                found=FALSE;
                break;
            }
        }
    } while (!found);
    fp=fopen("prime.dat","wt");
    fprintf(fp,"%d\n",NPRIMES);
    for (i=0;i<NPRIMES;i++) cotnum(pp[i],fp);
    fclose(fp);
    printf("prime= \n");
    cotnum(p,stdout);
    return 0;
}
Exemplo n.º 2
0
int main()
{
    FILE *fp;
    big e,n,a,b,x,y,r;
    epoint *g;
    ebrick binst;
    int i,d,ndig,nb,best,time,store,base,bits;
    miracl *mip=mirsys(50,0);
    n=mirvar(0);
    e=mirvar(0);
    a=mirvar(0);
    b=mirvar(0);
    x=mirvar(0);
    y=mirvar(0);
    r=mirvar(0);

    fp=fopen("common.ecs","r");
    fscanf(fp,"%d\n",&bits);

    mip->IOBASE=16;
    cinnum(n,fp);
    cinnum(a,fp);
    cinnum(b,fp);
    cinnum(r,fp);
    cinnum(x,fp);
    cinnum(y,fp);
    mip->IOBASE=10;

    printf("modulus is %d bits in length\n",logb2(n));
    printf("Enter size of exponent in bits = ");
    scanf("%d",&nb);
    getchar();

    ebrick_init(&binst,x,y,a,b,n,nb);

    printf("%d big numbers have been precomputed and stored\n",binst.store);

    bigdig(nb,2,e);  /* random exponent */  

    printf("naive method\n");
    ecurve_init(a,b,n,MR_PROJECTIVE);
    g=epoint_init();
    epoint_set(x,y,0,g);
    ecurve_mult(e,g,g);
    epoint_get(g,x,y);
    cotnum(x,stdout);
    cotnum(y,stdout);

    printf("Brickel et al method\n");
    mul_brick(&binst,e,x,y);

    ebrick_end(&binst);
    
    cotnum(x,stdout);
    cotnum(y,stdout);

    return 0;
}
Exemplo n.º 3
0
int main()
{
    FILE *fp;
    int m,a,b,c;
    big e,a2,a6,x,y,r;
    epoint *g;
    ebrick2 binst;
    int i,d,ndig,nb,best,time,store,base;
    miracl *mip=mirsys(50,0);
    e=mirvar(0);
    a2=mirvar(0);
    a6=mirvar(0);
    x=mirvar(0);
    y=mirvar(0);
    r=mirvar(0);

    fp=fopen("common2.ecs","r");
    fscanf(fp,"%d\n",&m);
    mip->IOBASE=16;
    cinnum(a2,fp);
    cinnum(a6,fp);
    cinnum(r,fp);
    cinnum(x,fp);
    cinnum(y,fp);
    mip->IOBASE=10;

    fscanf(fp,"%d\n",&a);
    fscanf(fp,"%d\n",&b);
    fscanf(fp,"%d\n",&c);
    
    printf("modulus is %d bits in length\n",m);
    printf("Enter size of exponent in bits = ");
    scanf("%d",&nb);
    getchar();

    ebrick2_init(&binst,x,y,a2,a6,m,a,b,c,nb);

    printf("%d big numbers have been precomputed and stored\n",binst.store);

    bigdig(nb,2,e);  /* random exponent */  

    printf("naive method\n");
    ecurve2_init(m,a,b,c,a2,a6,FALSE,MR_PROJECTIVE);
    g=epoint2_init();
    epoint2_set(x,y,0,g);
    ecurve2_mult(e,g,g);
    epoint2_get(g,x,y);
    cotnum(x,stdout);
    cotnum(y,stdout);

    zero(x); zero(y);
    printf("Brickel et al method\n");
    mul2_brick(&binst,e,x,y);

    ebrick2_end(&binst);
    
    cotnum(x,stdout);
    cotnum(y,stdout);

    return 0;
}