/* * Digital Signature Standard (DSS) * * Elliptic Curve variation GF(2^m) - See Dr. Dobbs Journal, April 1997 * * This program asks for the name of a , computes its message digest, * signs it, and outputs the signature to a file .ecs. It is assumed * that curve parameters are available from a file common2.ecs, as well as * the private key of the signer previously generated by the ecsgen2 program * * The curve is y^2+xy = x^3+Ax^2+B over GF(2^m) using a trinomial or * pentanomial basis (t^m+t^a+1 or t^m+t^a+t^b+t^c+1), These parameters * can be generated using the findbase.cpp example program, or taken from tables * provided, for example in IEEE-P1363 Annex A * * The file common2.ecs is presumed to exist and contain * {m,A,B,q,x,y,a,b,c} where A and B are parameters of the equation * above, (x,y) is an initial point on the curve, {m,a,b,c} are the field * parameters, (b is zero for a trinomial) and q is the order of the * (x,y) point, itself a large prime. The number of points on the curve is * cf.q where cf is the "co-factor", normally 2 or 4. * */ #include #include "miracl.h" #include #include #ifdef MR_COUNT_OPS int fpm2,fpi2,fpc,fpa,fpx; #endif void strip(char *name) { /* strip off filename extension */ int i; for (i=0;name[i]!='\0';i++) { if (name[i]!='.') continue; name[i]='\0'; break; } } static void hashing(FILE *fp,big hash) { /* compute hash function */ char h[20]; int i,ch; sha sh; shs_init(&sh); while ((ch=fgetc(fp))!=EOF) shs_process(&sh,ch); shs_hash(&sh,h); bytes_to_big(20,h,hash); } int main() { FILE *fp; int m,a,b,c; miracl *mip; char ifname[50],ofname[50]; big a2,a6,q,x,y,d,r,s,k,hash; epoint *g; long seed; /* get public data */ fp=fopen("common2.ecs","rt"); if (fp==NULL) { printf("file common2.ecs does not exist\n"); return 0; } fscanf(fp,"%d\n",&m); mip=mirsys(MR_ROUNDUP(abs(m),4),16); a2=mirvar(0); a6=mirvar(0); q=mirvar(0); x=mirvar(0); y=mirvar(0); d=mirvar(0); r=mirvar(0); s=mirvar(0); k=mirvar(0); hash=mirvar(0); innum(a2,fp); /* curve parameters */ innum(a6,fp); /* curve parameters */ innum(q,fp); /* order of (x,y) */ innum(x,fp); /* (x,y) point on curve of order q */ innum(y,fp); fscanf(fp,"%d\n",&a); fscanf(fp,"%d\n",&b); fscanf(fp,"%d\n",&c); fclose(fp); /* randomise */ printf("Enter 9 digit random number seed = "); scanf("%ld",&seed); getchar(); irand(seed); ecurve2_init(m,a,b,c,a2,a6,FALSE,MR_BEST); /* initialise curve */ g=epoint_init(); epoint2_set(x,y,0,g); /* set point of order q */ /* calculate r - this can be done offline, and hence amortized to almost nothing */ bigrand(q,k); #ifdef MR_COUNT_OPS fpm2=fpi2=fpc=fpa=fpx=0; #endif ecurve2_mult(k,g,g); /* see ebrick2.c for method to speed this up */ #ifdef MR_COUNT_OPS printf("Number of modmuls= %d, inverses= %d\n",fpm2,fpi2); #endif epoint2_get(g,r,r); divide(r,q,q); /* get private key of signer */ fp=fopen("private.ecs","rt"); if (fp==NULL) { printf("file private.ecs does not exist\n"); return 0; } innum(d,fp); fclose(fp); /* calculate message digest */ printf("file to be signed = "); gets(ifname); strcpy(ofname,ifname); strip(ofname); strcat(ofname,".ecs"); if ((fp=fopen(ifname,"rb"))==NULL) { printf("Unable to open file %s\n",ifname); return 0; } hashing(fp,hash); fclose(fp); /* calculate s */ xgcd(k,q,k,k,k); mad(d,r,hash,q,q,s); mad(s,k,k,q,q,s); fp=fopen(ofname,"wt"); otnum(r,fp); otnum(s,fp); fclose(fp); return 0; }