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