Create main.cpp

main.cpp

@@ -0,0 +1,557 @@
+#include <stdio.h>
+
+#include <string.h>
+
+#include <openssl/bn.h>
+
+#include <openssl/ec.h>
+
+#include <openssl/sha.h>
+
+#include <assert.h>
+
+#define FIELD_BITS 384
+
+#define FIELD_BYTES 48
+
+unsigned char cset[] = "BCDFGHJKMPQRTVWXY2346789";
+
+static void unpack(unsigned long *pid, unsigned long *hash, unsigned long *sig, unsigned long *raw)
+
+{
+
+// pid = Bit 0..30
+
+pid[0] = raw[0] & 0x7fffffff;
+
+// hash(s) = Bit 31..58
+
+hash[0] = ((raw[0] >> 31) | (raw[1] << 1)) & 0xfffffff;
+
+// sig(e) = bit 58..113
+
+sig[0] = (raw[1] >> 27) | (raw[2] << 5);
+
+sig[1] = (raw[2] >> 27) | (raw[3] << 5);
+
+}
+
+static void pack(unsigned long *raw, unsigned long *pid, unsigned long *hash, unsigned long *sig)
+
+{
+
+raw[0] = pid[0] | ((hash[0] & 1) << 31);
+
+raw[1] = (hash[0] >> 1) | ((sig[0] & 0x1f) << 27);
+
+raw[2] = (sig[0] >> 5) | (sig[1] << 27);
+
+raw[3] = sig[1] >> 5;
+
+}
+
+// Reverse data
+
+static void endian(unsigned char *data, int len)
+
+{
+
+int i;
+
+for (i = 0; i < len/2; i++) {
+
+unsigned char temp;
+
+temp = data;
+
+data = data[len-i-1];
+
+data[len-i-1] = temp;
+
+}
+
+}
+
+void unbase24(unsigned long *x, unsigned char *c)
+
+{
+
+memset(x, 0, 16);
+
+int i, n;
+
+BIGNUM *y = BN_new();
+
+BN_zero(y);
+
+for (i = 0; i < 25; i++)
+
+{
+
+BN_mul_word(y, 24);
+
+BN_add_word(y, c);
+
+}
+
+n = BN_num_bytes(y);
+
+BN_bn2bin(y, (unsigned char *)x);
+
+BN_free(y);
+
+endian((unsigned char *)x, n);
+
+}
+
+void base24(unsigned char *c, unsigned long *x)
+
+{
+
+unsigned char y[16];
+
+int i;
+
+BIGNUM *z;
+
+// Convert x to BigNum z
+
+memcpy(y, x, sizeof(y)); // Copy X to Y; Y=X
+
+for (i = 15; y == 0; i--) {} i++; // skip following nulls
+
+endian(y, i); // Reverse y
+
+z = BN_bin2bn(y, i, NULL); // Convert y to BigNum z
+
+// Divide z by 24 and convert remainder with cset to Base24-CDKEY Char
+
+c[25] = 0;
+
+for (i = 24; i >= 0; i--) {
+
+unsigned char t = BN_div_word(z, 24);
+
+c = cset[t];
+
+}
+
+BN_free(z);
+
+}
+
+void print_product_id(unsigned long *pid)
+
+{
+
+char raw[12];
+
+char b[6], c[8];
+
+int i, digit = 0;
+
+// Cut a away last bit of pid and convert it to an accii-number (=raw)
+
+sprintf(raw, "%d", pid[0] >> 1);
+
+// Make b-part {640-....}
+
+strncpy(b, raw, 3);
+
+b[3] = 0;
+
+// Make c-part {...-123456X...}
+
+strcpy(c, raw + 3);
+
+// Make checksum digit-part {...56X-}
+
+assert(strlen© == 6);
+
+for (i = 0; i < 6; i++)
+
+digit -= c - '0'; // Sum digits
+
+while (digit < 0)
+
+digit += 7;
+
+c[6] = digit + '0';
+
+c[7] = 0;
+
+printf("Product ID: 55274-%s-%s-23xxx\n", b, c);
+
+}
+
+void print_product_key(unsigned char *pk)
+
+{
+
+int i;
+
+assert(strlen((const char *)pk) == 25);
+
+for (i = 0; i < 25; i++) {
+
+putchar(pk);
+
+if (i != 24 && i % 5 == 4) putchar('-');
+
+}
+
+}
+
+void verify(EC_GROUP *ec, EC_POINT *generator, EC_POINT *public_key, char *cdkey)
+
+{
+
+unsigned char key[25];
+
+int i, j, k;
+
+BN_CTX *ctx = BN_CTX_new();
+
+// remove Dashs from CDKEY
+
+for (i = 0, k = 0; i < strlen(cdkey); i++) {
+
+for (j = 0; j < 24; j++) {
+
+if (cdkey != '-' && cdkey == cset[j]) {
+
+key[k++] = j;
+
+break;
+
+}
+
+assert(j < 24);
+
+}
+
+if (k >= 25) break;
+
+}
+
+// Base24_CDKEY -> Bin_CDKEY
+
+unsigned long bkey[4] = {0};
+
+unsigned long pid[1], hash[1], sig[2];
+
+unbase24(bkey, key);
+
+// Output Bin_CDKEY
+
+printf("%.8x %.8x %.8x %.8x\n", bkey[3], bkey[2], bkey[1], bkey[0]);
+
+// Divide/Extract pid_data, hash, sig from Bin_CDKEY
+
+unpack(pid, hash, sig, bkey);
+
+print_product_id(pid);
+
+printf("PID: %.8x\nHash: %.8x\nSig: %.8x %.8x\n", pid[0], hash[0], sig[1], sig[0]);
+
+BIGNUM *e, *s;
+
+/* e = hash, s = sig */
+
+e = BN_new();
+
+BN_set_word(e, hash[0]);
+
+endian((unsigned char *)sig, sizeof(sig));
+
+s = BN_bin2bn((unsigned char *)sig, sizeof(sig), NULL);
+
+BIGNUM *x = BN_new();
+
+BIGNUM *y = BN_new();
+
+EC_POINT *u = EC_POINT_new(ec);
+
+EC_POINT *v = EC_POINT_new(ec);
+
+/* v = s*generator + e*(-public_key) */
+
+EC_POINT_mul(ec, u, NULL, generator, s, ctx);
+
+EC_POINT_mul(ec, v, NULL, public_key, e, ctx);
+
+EC_POINT_add(ec, v, u, v, ctx);
+
+EC_POINT_get_affine_coordinates_GFp(ec, v, x, y, ctx);
+
+unsigned char buf[FIELD_BYTES], md[20];
+
+unsigned long h;
+
+unsigned char t[4];
+
+SHA_CTX h_ctx;
+
+/* h = (fist 32 bits of SHA1(pid || v.x, v.y)) >> 4 */
+
+SHA1_Init(&h_ctx);
+
+t[0] = pid[0] & 0xff;
+
+t[1] = (pid[0] & 0xff00) >> 8;
+
+t[2] = (pid[0] & 0xff0000) >> 16;
+
+t[3] = (pid[0] & 0xff000000) >> 24;
+
+SHA1_Update(&h_ctx, t, sizeof(t));
+
+memset(buf, 0, sizeof(buf));
+
+BN_bn2bin(x, buf);
+
+endian((unsigned char *)buf, sizeof(buf));
+
+SHA1_Update(&h_ctx, buf, sizeof(buf));
+
+memset(buf, 0, sizeof(buf));
+
+BN_bn2bin(y, buf);
+
+endian((unsigned char *)buf, sizeof(buf));
+
+SHA1_Update(&h_ctx, buf, sizeof(buf));
+
+SHA1_Final(md, &h_ctx);
+
+h = (md[0] | (md[1] << 8) | (md[2] << 16) | (md[3] << 24)) >> 4;
+
+h &= 0xfffffff;
+
+printf("Calculated hash: %.8x\n", h);
+
+if (h == hash[0]) printf("Key valid\n");
+
+else printf("Key invalid\n");
+
+putchar('\n');
+
+BN_free(e);
+
+BN_free(s);
+
+BN_free(x);
+
+BN_free(y);
+
+EC_POINT_free(u);
+
+EC_POINT_free(v);
+
+BN_CTX_free(ctx);
+
+}
+
+void generate(unsigned char *pkey, EC_GROUP *ec, EC_POINT *generator, BIGNUM *order, BIGNUM *priv, unsigned long *pid)
+
+{
+
+BN_CTX *ctx = BN_CTX_new();
+
+BIGNUM *k = BN_new();
+
+BIGNUM *s = BN_new();
+
+BIGNUM *x = BN_new();
+
+BIGNUM *y = BN_new();
+
+EC_POINT *r = EC_POINT_new(ec);
+
+unsigned long bkey[4];
+
+// Loop in case signaturepart will make cdkey(base-24 "digits") longer than 25
+
+do {
+
+BN_pseudo_rand(k, FIELD_BITS, -1, 0);
+
+EC_POINT_mul(ec, r, NULL, generator, k, ctx);
+
+EC_POINT_get_affine_coordinates_GFp(ec, r, x, y, ctx);
+
+SHA_CTX h_ctx;
+
+unsigned char t[4], md[20], buf[FIELD_BYTES];
+
+unsigned long hash[1];
+
+/* h = (fist 32 bits of SHA1(pid || r.x, r.y)) >> 4 */
+
+SHA1_Init(&h_ctx);
+
+t[0] = pid[0] & 0xff;
+
+t[1] = (pid[0] & 0xff00) >> 8;
+
+t[2] = (pid[0] & 0xff0000) >> 16;
+
+t[3] = (pid[0] & 0xff000000) >> 24;
+
+SHA1_Update(&h_ctx, t, sizeof(t));
+
+memset(buf, 0, sizeof(buf));
+
+BN_bn2bin(x, buf);
+
+endian((unsigned char *)buf, sizeof(buf));
+
+SHA1_Update(&h_ctx, buf, sizeof(buf));
+
+memset(buf, 0, sizeof(buf));
+
+BN_bn2bin(y, buf);
+
+endian((unsigned char *)buf, sizeof(buf));
+
+SHA1_Update(&h_ctx, buf, sizeof(buf));
+
+SHA1_Final(md, &h_ctx);
+
+hash[0] = (md[0] | (md[1] << 8) | (md[2] << 16) | (md[3] << 24)) >> 4;
+
+hash[0] &= 0xfffffff;
+
+/* s = priv*h + k */
+
+BN_copy(s, priv);
+
+BN_mul_word(s, hash[0]);
+
+BN_mod_add(s, s, k, order, ctx);
+
+unsigned long sig[2] = {0};
+
+BN_bn2bin(s, (unsigned char *)sig);
+
+endian((unsigned char *)sig, BN_num_bytes(s));
+
+pack(bkey, pid, hash, sig);
+
+printf("PID: %.8x\nHash: %.8x\nSig: %.8x %.8x\n", pid[0], hash[0], sig[1], sig[0]);
+
+} while (bkey[3] >= 0x62a32);
+
+base24(pkey, bkey);
+
+BN_free(k);
+
+BN_free(s);
+
+BN_free(x);
+
+BN_free(y);
+
+EC_POINT_free®;
+
+BN_CTX_free(ctx);
+
+}
+
+int main()
+
+{
+
+// Init
+
+BIGNUM *a, *b, *p, *gx, *gy, *pubx, *puby, *n, *priv;
+
+BN_CTX *ctx = BN_CTX_new();
+
+// make BigNumbers
+
+a = BN_new();
+
+b = BN_new();
+
+p = BN_new();
+
+gx = BN_new();
+
+gy = BN_new();
+
+pubx = BN_new();
+
+puby = BN_new();
+
+n = BN_new();
+
+priv = BN_new();
+
+// Data from pidgen-Bink-resources
+
+/* Elliptic curve parameters: y^2 = x^3 + ax + b mod p */
+
+BN_hex2bn(&p, "92ddcf14cb9e71f4489a2e9ba350ae29454d98cb93bdbcc07d62b502ea12238ee904a8b20d017197aae0c103b32713a9");
+
+BN_set_word(a, 1);
+
+BN_set_word(b, 0);
+
+/* base point (generator) G */
+
+BN_hex2bn(&gx, "46E3775ECE21B0898D39BEA57050D422A0AF989E497962BAEE2CB17E0A28D5360D5476B8DC966443E37A14F1AEF37742");
+
+BN_hex2bn(&gy, "7C8E741D2C34F4478E325469CD491603D807222C9C4AC09DDB2B31B3CE3F7CC191B3580079932BC6BEF70BE27604F65E");
+
+/* inverse of public key */
+
+BN_hex2bn(&pubx, "5D8DBE75198015EC41C45AAB6143542EB098F6A5CC9CE4178A1B8A1E7ABBB5BC64DF64FAF6177DC1B0988AB00BA94BF8");
+
+BN_hex2bn(&puby, "23A2909A0B4803C89F910C7191758B48746CEA4D5FF07667444ACDB9512080DBCA55E6EBF30433672B894F44ACE92BFA");
+
+// Computed data
+
+/* order of G - computed in 18 hours using a P3-450 */
+
+BN_hex2bn(&n, "DB6B4C58EFBAFD");
+
+/* THE private key - computed in 10 hours using a P3-450 */
+
+BN_hex2bn(&priv, "565B0DFF8496C8");
+
+// Calculation
+
+EC_GROUP *ec = EC_GROUP_new_curve_GFp(p, a, b, ctx);
+
+EC_POINT *g = EC_POINT_new(ec);
+
+EC_POINT_set_affine_coordinates_GFp(ec, g, gx, gy, ctx);
+
+EC_POINT *pub = EC_POINT_new(ec);
+
+EC_POINT_set_affine_coordinates_GFp(ec, pub, pubx, puby, ctx);
+
+unsigned char pkey[26];
+
+unsigned long pid[1];
+
+pid[0] = 640000000 << 1; /* <- change */
+
+// generate a key
+
+generate(pkey, ec, g, n, priv, pid);
+
+print_product_key(pkey); printf("\n\n");
+
+// verify the key
+
+verify(ec, g, pub, (char*)pkey);
+
+// Cleanup
+
+BN_CTX_free(ctx);
+
+return 0;
+
+}