WindowsXPKg/main.cpp

#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;

}