/* * Proposed Digital Signature Standard (DSS) * * Elliptic Curve Variation GF(2^m) - See Dr. Dobbs Journal April 1997 * * This program verifies the signature given to a in * .ecs generated by program ecsign * * 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,q} 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. * * Requires: big.cpp ec2.cpp * */ #include #include #include #include "ec2.h" using namespace std; Miracl precision(200,256); 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("common2.ecs"); /* construct file I/O streams */ ifstream public_key("public.ecs"); ifstream message; ifstream signature; EC2 G,Pub; int ep,m,a,b,c; Big a2,a6,q,x,y,v,u1,u2,r,s,h; char ifname[50],ofname[50]; miracl *mip=&precision; /* get public data */ common >> m; mip->IOBASE=16; common >> a2 >> a6 >> q >> x >> y; mip->IOBASE=10; common >> a >> b >> c; ecurve2(m,a,b,c,a2,a6,FALSE,MR_PROJECTIVE); G=EC2(x,y); /* get public key of signer */ public_key >> ep >> x; Pub=EC2(x,ep); // decompress /* get message */ cout << "signed file = " ; cin.sync(); cin.getline(ifname,13); strcpy(ofname,ifname); strip(ofname); strcat(ofname,".ecs"); message.open(ifname,ios::binary|ios::in); if (!message) { /* no message */ cout << "Unable to open file " << ifname << "\n"; return 0; } h=Hash(message); mip->IOBASE=10; signature.open(ofname,ios::in); if (!signature) { /* no signature */ cout << "signature file " << ofname << " does not exist\n"; return 0; } signature >> r >> s; if (r>=q || s>=q) { cout << "Signature is NOT verified\n"; return 0; } s=inverse(s,q); u1=(h*s)%q; u2=(r*s)%q; G=mul(u2,Pub,u1,G); G.get(v); v%=q; if (v==r) cout << "Signature is verified\n"; else cout << "Signature is NOT verified\n"; return 0; }