/* * Elliptic Curve Digital Signature Algorithm (ECDSA) * * * 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 common.ecs, as well as * the private key of the signer previously generated by the ecsgen program * * 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. * * Requires: big.cpp ecn.cpp */ #include #include #include #include "ecn.h" using namespace std; #ifndef MR_NOFULLWIDTH Miracl precision(200,256); #else Miracl precision(50,MAXBASE); #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 Big Hash(ifstream &fp) { /* compute hash function */ char ch,s[20]; Big h; sha sh; shs_init(&sh); forever { /* read in bytes from message file */ fp.get(ch); if (fp.eof()) break; shs_process(&sh,ch); } shs_hash(&sh,s); h=from_binary(20,s); return h; } int main() { ifstream common("common.ecs"); /* construct file I/O streams */ ifstream private_key("private.ecs"); ifstream message; ofstream signature; char ifname[50],ofname[50]; ECn G; Big a,b,p,q,x,y,h,r,s,d,k; long seed; int bits; miracl *mip=&precision; /* randomise */ cout << "Enter 9 digit random number seed = "; cin >> seed; irand(seed); /* get common data */ common >> bits; mip->IOBASE=16; common >> p >> a >> b >> q >> x >> y; mip->IOBASE=10; /* calculate r - this can be done off-line, and hence amortized to almost nothing */ ecurve(a,b,p,MR_PROJECTIVE); G=ECn(x,y); k=rand(q); G*=k; /* see ebrick.cpp for technique to speed this up */ G.get(r); r%=q; /* get private key of recipient */ private_key >> d; /* get message */ cout << "file to be signed = " ; cin >> ifname; strcpy(ofname,ifname); strip(ofname); strcat(ofname,".ecs"); message.open(ifname,ios::binary|ios::in); if (!message) { cout << "Unable to open file " << ifname << "\n"; return 0; } h=Hash(message); /* calculate s */ k=inverse(k,q); s=((h+d*r)*k)%q; signature.open(ofname); signature << r << endl; signature << s << endl; return 0; }