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QWORD upgrade, abstract NEXTNBITS()

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This commit is contained in:
Andrew 2023-06-04 16:32:05 +03:00
parent 1c5f93b687
commit 799fee5a68
3 changed files with 25 additions and 21 deletions
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3
src/header.h
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@ -39,7 +39,8 @@
#define FIELD_BITS_2003 512
#define FIELD_BYTES_2003 64
#define FIRSTNBITS(field, n) ((field) & ((1ULL << (n)) - 1))
#define NEXTNBITS(field, n, offset) (((QWORD)field >> offset) & ((1ULL << (n)) - 1))
#define FIRSTNBITS(field, n) NEXTNBITS(field, n, 0)
// Confirmation ID generator constants
#define SUCCESS 0

15
src/main.cpp
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@ -124,15 +124,18 @@ int main(int argc, char *argv[]) {
// generate a key
BN_sub(privateKey, genOrder, privateKey);
nRaw <<= 1;
int count = 0, total = 1000;
generateXPKey(eCurve, genPoint, genOrder, privateKey, nRaw, pKey);
print_product_key(pKey);
std::cout << std::endl << std::endl;
for (int i = 0; i < total; i++) {
generateXPKey(eCurve, genPoint, genOrder, privateKey, nRaw, pKey);
print_product_key(pKey);
std::cout << std::endl << std::endl;
// verify the key
if (!verifyXPKey(eCurve, genPoint, pubPoint, pKey)) {
std::cout << "Fail! Key is invalid." << std::endl;
// verify the key
count += verifyXPKey(eCurve, genPoint, pubPoint, pKey);
}
std::cout << "Success count: " << std::dec << count << "/" << total << std::endl;
return 0;
}

26
src/xp.cpp
View File

@ -18,7 +18,7 @@
#include "header.h"
/* Unpacks the Windows XP Product Key. */
void unpackXP(DWORD (&pRaw)[4], DWORD &pSerial, DWORD &pHash, QWORD &pSignature) {
void unpackXP(QWORD (&pRaw)[2], 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.
@ -27,18 +27,18 @@ void unpackXP(DWORD (&pRaw)[4], DWORD &pSerial, DWORD &pHash, QWORD &pSignature)
pSerial = FIRSTNBITS(pRaw[0], 31);
// Hash (e) = Bits [31..58] -> 28 bits
pHash = FIRSTNBITS(pRaw[1] << 1 | pRaw[0] >> 31, 28);
pHash = NEXTNBITS(pRaw[0], 28, 31);
// Signature (s) = Bits [59..113] -> 55 bits
pSignature = (QWORD)pRaw[3] << (5 + 8 * sizeof(DWORD)) | (QWORD)pRaw[2] << 5 | pRaw[1] >> 27;
pSignature = FIRSTNBITS(pRaw[1], 51) << 5 | NEXTNBITS(pRaw[0], 5, 59);
}
/* Packs the Windows XP Product Key. */
void packXP(DWORD (&pRaw)[4], DWORD pSerial, DWORD pHash, QWORD pSignature) {
pRaw[0] = pSerial | FIRSTNBITS(pHash, 1) << 31;
pRaw[1] = FIRSTNBITS(pSignature, 5) << 27 | pHash >> 1;
pRaw[2] = (DWORD)(pSignature >> 5);
pRaw[3] = (DWORD)(pSignature >> (5 + 8 * sizeof(DWORD)));
void packXP(QWORD (&pRaw)[2], DWORD pSerial, DWORD pHash, QWORD pSignature) {
pRaw[0] = FIRSTNBITS(pSignature, 5) << 59 | FIRSTNBITS(pHash, 28) << 31 | pSerial;
// sig is 56 bits long, 5 of them are used -> 51 bits remaining
pRaw[1] = NEXTNBITS(pSignature, 51, 5);
}
/* Verify Product Key */
@ -46,7 +46,7 @@ bool verifyXPKey(EC_GROUP *eCurve, EC_POINT *generator, EC_POINT *publicKey, cha
BN_CTX *context = BN_CTX_new();
// Convert Base24 CD-key to bytecode.
DWORD bKey[4]{};
QWORD bKey[2]{};
DWORD pID, checkHash;
QWORD sig = 0;
@ -156,13 +156,13 @@ void generateXPKey(EC_GROUP *eCurve, EC_POINT *generator, BIGNUM *order, BIGNUM
BIGNUM *x = BN_new();
BIGNUM *y = BN_new();
DWORD bKey[4]{};
QWORD bKey[2]{};
do {
DWORD hash = 0;
QWORD sig = 0;
memset(bKey, 0, 4);
memset(bKey, 0, 2 * sizeof(QWORD));
// Generate a random number c consisting of 384 bits without any constraints.
BN_rand(c, FIELD_BITS, BN_RAND_TOP_ANY, BN_RAND_BOTTOM_ANY);
@ -235,9 +235,9 @@ void generateXPKey(EC_GROUP *eCurve, EC_POINT *generator, BIGNUM *order, BIGNUM
<< " Sig: " << std::hex << std::setw(8) << std::setfill('0') << sig << std::endl
<< std::endl;
} while (bKey[3] >= 0x40000);
} while (bKey[1] >= (1ULL << 50));
// ↑ ↑ ↑
// bKey[3] can't be longer than 18 bits, else the signature part will make
// bKey[1] can't be longer than 50 bits, else the signature part will make
// the CD-key longer than 25 characters.
// Convert the key to Base24.