mirror of
https://github.com/Neo-Desktop/WindowsXPKg
synced 2024-11-17 19:31:00 +02:00
558 lines
8.2 KiB
C++
558 lines
8.2 KiB
C++
#include <stdio.h>
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#include <string.h>
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#include <openssl/bn.h>
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#include <openssl/ec.h>
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#include <openssl/sha.h>
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#include <assert.h>
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#define FIELD_BITS 384
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#define FIELD_BYTES 48
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unsigned char cset[] = "BCDFGHJKMPQRTVWXY2346789";
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static void unpack(unsigned long *pid, unsigned long *hash, unsigned long *sig, unsigned long *raw)
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{
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// pid = Bit 0..30
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pid[0] = raw[0] & 0x7fffffff;
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// hash(s) = Bit 31..58
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hash[0] = ((raw[0] >> 31) | (raw[1] << 1)) & 0xfffffff;
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// sig(e) = bit 58..113
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sig[0] = (raw[1] >> 27) | (raw[2] << 5);
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sig[1] = (raw[2] >> 27) | (raw[3] << 5);
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}
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static void pack(unsigned long *raw, unsigned long *pid, unsigned long *hash, unsigned long *sig)
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{
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raw[0] = pid[0] | ((hash[0] & 1) << 31);
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raw[1] = (hash[0] >> 1) | ((sig[0] & 0x1f) << 27);
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raw[2] = (sig[0] >> 5) | (sig[1] << 27);
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raw[3] = sig[1] >> 5;
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}
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// Reverse data
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static void endian(unsigned char *data, int len)
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{
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int i;
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for (i = 0; i < len/2; i++) {
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unsigned char temp;
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temp = data;
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data = data[len-i-1];
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data[len-i-1] = temp;
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}
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}
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void unbase24(unsigned long *x, unsigned char *c)
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{
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memset(x, 0, 16);
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int i, n;
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BIGNUM *y = BN_new();
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BN_zero(y);
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for (i = 0; i < 25; i++)
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{
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BN_mul_word(y, 24);
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BN_add_word(y, c);
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}
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n = BN_num_bytes(y);
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BN_bn2bin(y, (unsigned char *)x);
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BN_free(y);
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endian((unsigned char *)x, n);
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}
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void base24(unsigned char *c, unsigned long *x)
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{
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unsigned char y[16];
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int i;
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BIGNUM *z;
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// Convert x to BigNum z
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memcpy(y, x, sizeof(y)); // Copy X to Y; Y=X
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for (i = 15; y == 0; i--) {} i++; // skip following nulls
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endian(y, i); // Reverse y
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z = BN_bin2bn(y, i, NULL); // Convert y to BigNum z
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// Divide z by 24 and convert remainder with cset to Base24-CDKEY Char
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c[25] = 0;
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for (i = 24; i >= 0; i--) {
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unsigned char t = BN_div_word(z, 24);
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c = cset[t];
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}
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BN_free(z);
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}
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void print_product_id(unsigned long *pid)
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{
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char raw[12];
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char b[6], c[8];
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int i, digit = 0;
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// Cut a away last bit of pid and convert it to an accii-number (=raw)
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sprintf(raw, "%d", pid[0] >> 1);
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// Make b-part {640-....}
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strncpy(b, raw, 3);
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b[3] = 0;
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// Make c-part {...-123456X...}
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strcpy(c, raw + 3);
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// Make checksum digit-part {...56X-}
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assert(strlen© == 6);
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for (i = 0; i < 6; i++)
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digit -= c - '0'; // Sum digits
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while (digit < 0)
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digit += 7;
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c[6] = digit + '0';
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c[7] = 0;
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printf("Product ID: 55274-%s-%s-23xxx\n", b, c);
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}
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void print_product_key(unsigned char *pk)
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{
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int i;
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assert(strlen((const char *)pk) == 25);
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for (i = 0; i < 25; i++) {
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putchar(pk);
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if (i != 24 && i % 5 == 4) putchar('-');
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}
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}
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void verify(EC_GROUP *ec, EC_POINT *generator, EC_POINT *public_key, char *cdkey)
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{
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unsigned char key[25];
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int i, j, k;
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BN_CTX *ctx = BN_CTX_new();
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// remove Dashs from CDKEY
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for (i = 0, k = 0; i < strlen(cdkey); i++) {
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for (j = 0; j < 24; j++) {
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if (cdkey != '-' && cdkey == cset[j]) {
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key[k++] = j;
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break;
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}
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assert(j < 24);
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}
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if (k >= 25) break;
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}
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// Base24_CDKEY -> Bin_CDKEY
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unsigned long bkey[4] = {0};
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unsigned long pid[1], hash[1], sig[2];
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unbase24(bkey, key);
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// Output Bin_CDKEY
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printf("%.8x %.8x %.8x %.8x\n", bkey[3], bkey[2], bkey[1], bkey[0]);
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// Divide/Extract pid_data, hash, sig from Bin_CDKEY
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unpack(pid, hash, sig, bkey);
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print_product_id(pid);
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printf("PID: %.8x\nHash: %.8x\nSig: %.8x %.8x\n", pid[0], hash[0], sig[1], sig[0]);
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BIGNUM *e, *s;
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/* e = hash, s = sig */
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e = BN_new();
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BN_set_word(e, hash[0]);
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endian((unsigned char *)sig, sizeof(sig));
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s = BN_bin2bn((unsigned char *)sig, sizeof(sig), NULL);
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BIGNUM *x = BN_new();
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BIGNUM *y = BN_new();
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EC_POINT *u = EC_POINT_new(ec);
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EC_POINT *v = EC_POINT_new(ec);
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/* v = s*generator + e*(-public_key) */
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EC_POINT_mul(ec, u, NULL, generator, s, ctx);
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EC_POINT_mul(ec, v, NULL, public_key, e, ctx);
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EC_POINT_add(ec, v, u, v, ctx);
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EC_POINT_get_affine_coordinates_GFp(ec, v, x, y, ctx);
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unsigned char buf[FIELD_BYTES], md[20];
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unsigned long h;
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unsigned char t[4];
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SHA_CTX h_ctx;
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/* h = (fist 32 bits of SHA1(pid || v.x, v.y)) >> 4 */
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SHA1_Init(&h_ctx);
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t[0] = pid[0] & 0xff;
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t[1] = (pid[0] & 0xff00) >> 8;
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t[2] = (pid[0] & 0xff0000) >> 16;
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t[3] = (pid[0] & 0xff000000) >> 24;
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SHA1_Update(&h_ctx, t, sizeof(t));
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memset(buf, 0, sizeof(buf));
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BN_bn2bin(x, buf);
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endian((unsigned char *)buf, sizeof(buf));
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SHA1_Update(&h_ctx, buf, sizeof(buf));
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memset(buf, 0, sizeof(buf));
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BN_bn2bin(y, buf);
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endian((unsigned char *)buf, sizeof(buf));
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SHA1_Update(&h_ctx, buf, sizeof(buf));
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SHA1_Final(md, &h_ctx);
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h = (md[0] | (md[1] << 8) | (md[2] << 16) | (md[3] << 24)) >> 4;
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h &= 0xfffffff;
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printf("Calculated hash: %.8x\n", h);
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if (h == hash[0]) printf("Key valid\n");
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else printf("Key invalid\n");
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putchar('\n');
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BN_free(e);
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BN_free(s);
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BN_free(x);
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BN_free(y);
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EC_POINT_free(u);
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EC_POINT_free(v);
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BN_CTX_free(ctx);
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}
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void generate(unsigned char *pkey, EC_GROUP *ec, EC_POINT *generator, BIGNUM *order, BIGNUM *priv, unsigned long *pid)
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{
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BN_CTX *ctx = BN_CTX_new();
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BIGNUM *k = BN_new();
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BIGNUM *s = BN_new();
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BIGNUM *x = BN_new();
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BIGNUM *y = BN_new();
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EC_POINT *r = EC_POINT_new(ec);
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unsigned long bkey[4];
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// Loop in case signaturepart will make cdkey(base-24 "digits") longer than 25
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do {
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BN_pseudo_rand(k, FIELD_BITS, -1, 0);
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EC_POINT_mul(ec, r, NULL, generator, k, ctx);
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EC_POINT_get_affine_coordinates_GFp(ec, r, x, y, ctx);
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SHA_CTX h_ctx;
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unsigned char t[4], md[20], buf[FIELD_BYTES];
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unsigned long hash[1];
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/* h = (fist 32 bits of SHA1(pid || r.x, r.y)) >> 4 */
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SHA1_Init(&h_ctx);
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t[0] = pid[0] & 0xff;
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t[1] = (pid[0] & 0xff00) >> 8;
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t[2] = (pid[0] & 0xff0000) >> 16;
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t[3] = (pid[0] & 0xff000000) >> 24;
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SHA1_Update(&h_ctx, t, sizeof(t));
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memset(buf, 0, sizeof(buf));
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BN_bn2bin(x, buf);
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endian((unsigned char *)buf, sizeof(buf));
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SHA1_Update(&h_ctx, buf, sizeof(buf));
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memset(buf, 0, sizeof(buf));
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BN_bn2bin(y, buf);
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endian((unsigned char *)buf, sizeof(buf));
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SHA1_Update(&h_ctx, buf, sizeof(buf));
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SHA1_Final(md, &h_ctx);
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hash[0] = (md[0] | (md[1] << 8) | (md[2] << 16) | (md[3] << 24)) >> 4;
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hash[0] &= 0xfffffff;
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/* s = priv*h + k */
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BN_copy(s, priv);
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BN_mul_word(s, hash[0]);
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BN_mod_add(s, s, k, order, ctx);
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unsigned long sig[2] = {0};
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BN_bn2bin(s, (unsigned char *)sig);
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endian((unsigned char *)sig, BN_num_bytes(s));
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pack(bkey, pid, hash, sig);
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printf("PID: %.8x\nHash: %.8x\nSig: %.8x %.8x\n", pid[0], hash[0], sig[1], sig[0]);
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} while (bkey[3] >= 0x62a32);
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base24(pkey, bkey);
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BN_free(k);
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BN_free(s);
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BN_free(x);
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BN_free(y);
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EC_POINT_free®;
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BN_CTX_free(ctx);
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}
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int main()
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{
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// Init
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BIGNUM *a, *b, *p, *gx, *gy, *pubx, *puby, *n, *priv;
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BN_CTX *ctx = BN_CTX_new();
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// make BigNumbers
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a = BN_new();
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b = BN_new();
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p = BN_new();
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gx = BN_new();
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gy = BN_new();
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pubx = BN_new();
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puby = BN_new();
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n = BN_new();
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priv = BN_new();
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// Data from pidgen-Bink-resources
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/* Elliptic curve parameters: y^2 = x^3 + ax + b mod p */
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BN_hex2bn(&p, "92ddcf14cb9e71f4489a2e9ba350ae29454d98cb93bdbcc07d62b502ea12238ee904a8b20d017197aae0c103b32713a9");
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BN_set_word(a, 1);
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BN_set_word(b, 0);
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/* base point (generator) G */
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BN_hex2bn(&gx, "46E3775ECE21B0898D39BEA57050D422A0AF989E497962BAEE2CB17E0A28D5360D5476B8DC966443E37A14F1AEF37742");
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BN_hex2bn(&gy, "7C8E741D2C34F4478E325469CD491603D807222C9C4AC09DDB2B31B3CE3F7CC191B3580079932BC6BEF70BE27604F65E");
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/* inverse of public key */
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BN_hex2bn(&pubx, "5D8DBE75198015EC41C45AAB6143542EB098F6A5CC9CE4178A1B8A1E7ABBB5BC64DF64FAF6177DC1B0988AB00BA94BF8");
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BN_hex2bn(&puby, "23A2909A0B4803C89F910C7191758B48746CEA4D5FF07667444ACDB9512080DBCA55E6EBF30433672B894F44ACE92BFA");
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// Computed data
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/* order of G - computed in 18 hours using a P3-450 */
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BN_hex2bn(&n, "DB6B4C58EFBAFD");
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/* THE private key - computed in 10 hours using a P3-450 */
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BN_hex2bn(&priv, "565B0DFF8496C8");
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// Calculation
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EC_GROUP *ec = EC_GROUP_new_curve_GFp(p, a, b, ctx);
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EC_POINT *g = EC_POINT_new(ec);
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EC_POINT_set_affine_coordinates_GFp(ec, g, gx, gy, ctx);
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EC_POINT *pub = EC_POINT_new(ec);
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EC_POINT_set_affine_coordinates_GFp(ec, pub, pubx, puby, ctx);
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unsigned char pkey[26];
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unsigned long pid[1];
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pid[0] = 640000000 << 1; /* <- change */
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// generate a key
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generate(pkey, ec, g, n, priv, pid);
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print_product_key(pkey); printf("\n\n");
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// verify the key
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verify(ec, g, pub, (char*)pkey);
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// Cleanup
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BN_CTX_free(ctx);
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return 0;
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}
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