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QWORD upgrade for Schnorr's Signature

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This commit is contained in:
Andrew 2023-06-04 15:17:41 +03:00
parent 9302ebd751
commit 3922223b9f
1 changed files with 18 additions and 17 deletions
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35
src/xp.cpp
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@ -18,7 +18,7 @@
#include "header.h"
/* Unpacks the Windows XP Product Key. */
void unpackXP(DWORD (&pRaw)[4], DWORD &pSerial, DWORD &pHash, DWORD (&pSignature)[2]) {
void unpackXP(DWORD (&pRaw)[4], DWORD &pSerial, DWORD &pHash, QWORD &pSignature) {
// We're assuming that the quantity of information within the product key is at most 114 bits.
// log2(24^25) = 114.
@ -30,16 +30,15 @@ void unpackXP(DWORD (&pRaw)[4], DWORD &pSerial, DWORD &pHash, DWORD (&pSignature
pHash = FIRSTNBITS(pRaw[1] << 1 | pRaw[0] >> 31, 28);
// Signature (s) = Bits [59..113] -> 55 bits
pSignature[0] = pRaw[2] << 5 | pRaw[1] >> 27;
pSignature[1] = pRaw[3] << 5 | pRaw[2] >> 27;
pSignature = (QWORD)pRaw[3] << (5 + 8 * sizeof(DWORD)) | (QWORD)pRaw[2] << 5 | pRaw[1] >> 27;
}
/* Packs the Windows XP Product Key. */
void packXP(DWORD (&pRaw)[4], DWORD pSerial, DWORD pHash, DWORD (&pSignature)[2]) {
void packXP(DWORD (&pRaw)[4], DWORD pSerial, DWORD pHash, QWORD pSignature) {
pRaw[0] = pSerial | FIRSTNBITS(pHash, 1) << 31;
pRaw[1] = FIRSTNBITS(pSignature[0], 5) << 27 | pHash >> 1;
pRaw[2] = pSignature[1] << 27 | pSignature[0] >> 5;
pRaw[3] = pSignature[1] >> 5;
pRaw[1] = FIRSTNBITS(pSignature, 5) << 27 | pHash >> 1;
pRaw[2] = (DWORD)(pSignature >> 5);
pRaw[3] = (DWORD)(pSignature >> (5 + 8 * sizeof(DWORD)));
}
/* Verify Product Key */
@ -48,7 +47,9 @@ bool verifyXPKey(EC_GROUP *eCurve, EC_POINT *generator, EC_POINT *publicKey, cha
// Convert Base24 CD-key to bytecode.
DWORD bKey[4]{};
DWORD pID, checkHash, sig[2];
DWORD pID, checkHash;
QWORD sig = 0;
unbase24(bKey, cdKey);
@ -64,8 +65,8 @@ bool verifyXPKey(EC_GROUP *eCurve, EC_POINT *generator, EC_POINT *publicKey, cha
BN_set_word(e, checkHash);
// Reverse signature and create a new BigNum s.
endian((BYTE *)sig, sizeof(sig));
s = BN_bin2bn((BYTE *)sig, sizeof(sig), nullptr);
endian((BYTE *)&sig, sizeof(sig));
s = BN_bin2bn((BYTE *)&sig, sizeof(sig), nullptr);
// Create x and y.
BIGNUM *x = BN_new();
@ -158,7 +159,8 @@ void generateXPKey(EC_GROUP *eCurve, EC_POINT *generator, BIGNUM *order, BIGNUM
DWORD bKey[4]{};
do {
DWORD hash = 0, sig[2]{};
DWORD hash = 0;
QWORD sig = 0;
memset(bKey, 0, 4);
@ -221,17 +223,16 @@ void generateXPKey(EC_GROUP *eCurve, EC_POINT *generator, BIGNUM *order, BIGNUM
BN_mod_add(s, s, c, order, ctx);
// Convert s from BigNum back to bytecode and reverse the endianness.
BN_bn2bin(s, (BYTE *)sig);
endian((BYTE *)sig, BN_num_bytes(s));
BN_bn2bin(s, (BYTE *)&sig);
endian((BYTE *)&sig, BN_num_bytes(s));
// Pack product key.
packXP(bKey, pRaw, hash, sig);
//printf("PID: %.8X\nHash: %.8X\nSig: %.8X %.8X\n", pRaw[0], hash, sig[1], sig[0]);
std::cout << " PID: " << std::hex << std::setw(8) << std::setfill('0') << pRaw << std::endl
<< "Hash: " << std::hex << std::setw(8) << std::setfill('0') << hash << std::endl
<< " Sig: " << std::hex << std::setw(8) << std::setfill('0') << sig[0] << " "
<< std::hex << std::setw(8) << std::setfill('0') << sig[1] << std::endl
std::cout << " PID: " << std::hex << std::setw(8) << std::setfill('0') << pRaw << std::endl
<< "Hash: " << std::hex << std::setw(8) << std::setfill('0') << hash << std::endl
<< " Sig: " << std::hex << std::setw(8) << std::setfill('0') << sig << std::endl
<< std::endl;
} while (bKey[3] >= 0x40000);