/* * Elliptic Curve Digital Signature Algorithm (ECDSA) * * This program verifies the signature given to a in * .ecs generated by program ecsign * * The curve is y^2=x^3+Ax+B mod p * * The file common.ecs is presumed to exist, and to contain the domain * information {p,A,B,q,x,y}, where A and B are curve parameters, (x,y) are * a point of order q, p is the prime modulus, and q is the order of the * point (x,y). In fact normally q is the prime number of points counted * on the curve. * * This program is written for static mode. * For a 160-bit modulus p, MR_STATIC could be defined as 5 in mirdef.h * for a 32-bit processor, or 10 for a 16-bit processor. * The system parameters can be found in the file common.ecs * Assumes MR_GENERIC_MT is defined in mirdef.h * */ #include #include "miracl.h" #include #include 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(miracl *mip,FILE *fp,big hash) { /* compute hash function */ char h[20]; sha sh; int len,ch; shs_init(&sh); while ((ch=fgetc(fp))!=EOF) shs_process(&sh,ch); shs_hash(&sh,h); len=(MIRACL*MR_STATIC)/8; if (len>20) len=20; bytes_to_big(mip,len,h,hash); } int main() { FILE *fp; int bits,ep; epoint *g,*public; char ifname[50],ofname[50]; big a,b,p,q,x,y,v,u1,u2,r,s,hash; miracl instance; miracl *mip=&instance; char mem[MR_BIG_RESERVE(12)]; /* reserve space on the stack for 12 bigs */ char mem1[MR_ECP_RESERVE(2)]; /* and two elliptic curve points */ memset(mem,0,MR_BIG_RESERVE(12)); memset(mem1,0,MR_ECP_RESERVE(2)); /* get public data */ #ifndef MR_EDWARDS fp=fopen("common.ecs","rt"); if (fp==NULL) { printf("file common.ecs does not exist\n"); return 0; } fscanf(fp,"%d\n",&bits); #else fp=fopen("edwards.ecs","rt"); if (fp==NULL) { printf("file edwards.ecs does not exist\n"); return 0; } fscanf(fp,"%d\n",&bits); #endif mirsys(mip,bits/4,16); /* Use Hex Internally */ a=mirvar_mem(mip,mem,0); b=mirvar_mem(mip,mem,1); p=mirvar_mem(mip,mem,2); q=mirvar_mem(mip,mem,3); x=mirvar_mem(mip,mem,4); y=mirvar_mem(mip,mem,5); v=mirvar_mem(mip,mem,6); u1=mirvar_mem(mip,mem,7); u2=mirvar_mem(mip,mem,8); s=mirvar_mem(mip,mem,9); r=mirvar_mem(mip,mem,10); hash=mirvar_mem(mip,mem,11); innum(mip,p,fp); innum(mip,a,fp); innum(mip,b,fp); innum(mip,q,fp); innum(mip,x,fp); innum(mip,y,fp); fclose(fp); ecurve_init(mip,a,b,p,MR_PROJECTIVE); /* initialise curve */ g=epoint_init_mem(mip,mem1,0); epoint_set(mip,x,y,0,g); /* initialise point of order q */ /* get public key of signer */ fp=fopen("public.ecs","rt"); if (fp==NULL) { printf("file public.ecs does not exist\n"); return 0; } fscanf(fp,"%d",&ep); innum(mip,x,fp); fclose(fp); public=epoint_init_mem(mip,mem1,1); epoint_set(mip,x,x,ep,public); /* decompress */ /* get message */ printf("signed file = "); gets(ifname); strcpy(ofname,ifname); strip(ofname); strcat(ofname,".ecs"); if ((fp=fopen(ifname,"rb"))==NULL) { /* no message */ printf("Unable to open file %s\n",ifname); return 0; } hashing(mip,fp,hash); fclose(fp); fp=fopen(ofname,"rt"); if (fp==NULL) { /* no signature */ printf("signature file %s does not exist\n",ofname); return 0; } innum(mip,r,fp); innum(mip,s,fp); fclose(fp); if (mr_compare(r,q)>=0 || mr_compare(s,q)>=0) { printf("Signature is NOT verified\n"); return 0; } xgcd(mip,s,q,s,s,s); mad(mip,hash,s,s,q,q,u1); mad(mip,r,s,s,q,q,u2); ecurve_mult2(mip,u2,public,u1,g,g); epoint_get(mip,g,v,v); divide(mip,v,q,q); if (mr_compare(v,r)==0) printf("Signature is verified\n"); else printf("Signature is NOT verified\n"); memset(mem,0,MR_BIG_RESERVE(12)); memset(mem1,0,MR_ECP_RESERVE(2)); return 0; }