//-----------------------------------------------------------------------------
// Copyright (C) 2015 piwi
// fiddled with 2016 Azcid (hardnested bitsliced Bruteforce imp)
+// fiddled with 2016 Matrix ( sub testing of nonces while collecting )
// This code is licensed to you under the terms of the GNU GPL, version 2 or,
// at your option, any later version. See the LICENSE.txt file for the text of
// the license.
#define CONFIDENCE_THRESHOLD 0.95 // Collect nonces until we are certain enough that the following brute force is successfull
#define GOOD_BYTES_REQUIRED 13 // default 28, could be smaller == faster
-#define MIN_NONCES_REQUIRED 4000 // 4000-5000 could be good
-#define NONCES_TRIGGER 2500 // every 2500 nonces check if we can crack the key
-#define CRACKING_THRESHOLD 39.00f // as 2^39
+#define NONCES_THRESHOLD 5000 // every N nonces check if we can crack the key
+#define CRACKING_THRESHOLD 38.00f // as 2^38
#define END_OF_LIST_MARKER 0xFFFFFFFF
static partial_indexed_statelist_t statelist_bitflip;
static statelist_t *candidates = NULL;
-bool thread_check_started = false;
-bool thread_check_done = false;
bool field_off = false;
-pthread_t thread_check;
-
static bool generate_candidates(uint16_t, uint16_t);
static bool brute_force(void);
for (int16_t i = N; i >= N-n+1; i--) {
log_result -= log(i);
}
- return (log_result > 0) ? exp(log_result) : 0.0;
+ return exp(log_result);
} else {
if (n-k == N-K) { // special case. The published recursion below would fail with a divide by zero exception
double log_result = 0.0;
for (int16_t i = K+1; i <= N; i++) {
log_result -= log(i);
}
- return (log_result > 0) ? exp(log_result) : 0.0;
+ return exp(log_result);
} else { // recursion
return (p_hypergeometric(N, K, n, k-1) * (K-k+1) * (n-k+1) / (k * (N-K-n+k)));
}
if (k > K || p_K[K] == 0.0) return 0.0;
double p_T_is_k_when_S_is_K = p_hypergeometric(N, K, n, k);
-
- if (p_T_is_k_when_S_is_K == 0.0) return 0.0;
-
double p_S_is_K = p_K[K];
double p_T_is_k = 0;
for (uint16_t i = 0; i <= 256; i++) {
return(p_T_is_k_when_S_is_K * p_S_is_K / p_T_is_k);
}
-
static inline uint_fast8_t common_bits(uint_fast8_t bytes_diff)
{
static const uint_fast8_t common_bits_LUT[256] = {
}
// swap best possible first byte to the pole position
+ if (best_first_byte != 0) {
uint16_t temp = best_first_bytes[0];
best_first_bytes[0] = best_first_bytes[best_first_byte];
best_first_bytes[best_first_byte] = temp;
+ }
}
uint32_t idx = 1;
FILE *fnonces = NULL;
UsbCommand resp;
-
field_off = false;
-
+ UsbCommand c = {CMD_MIFARE_ACQUIRE_ENCRYPTED_NONCES, {blockNo + keyType * 0x100, trgBlockNo + trgKeyType * 0x100, 0}};
+ memcpy(c.d.asBytes, key, 6);
+
printf("Acquiring nonces...\n");
-
do {
flags = 0;
flags |= initialize ? 0x0001 : 0;
flags |= slow ? 0x0002 : 0;
flags |= field_off ? 0x0004 : 0;
- UsbCommand c = {CMD_MIFARE_ACQUIRE_ENCRYPTED_NONCES, {blockNo + keyType * 0x100, trgBlockNo + trgKeyType * 0x100, flags}};
- memcpy(c.d.asBytes, key, 6);
+ c.arg[2] = flags;
clearCommandBuffer();
SendCommand(&c);
- if (field_off) finished = true;
-
- if (initialize) {
- if (!WaitForResponseTimeout(CMD_ACK, &resp, 3000)) return 1;
- if (resp.arg[0]) return resp.arg[0]; // error during nested_hard
+ if (field_off) break;
+ if (!WaitForResponseTimeout(CMD_ACK, &resp, 3000)) {
+ if (fnonces) fclose(fnonces);
+ return 1;
+ }
+ if (resp.arg[0]) {
+ if (fnonces) fclose(fnonces);
+ return resp.arg[0]; // error during nested_hard
+ }
+
+ if (initialize) {
+ // global var CUID
cuid = resp.arg[1];
- // PrintAndLog("Acquiring nonces for CUID 0x%08x", cuid);
if (nonce_file_write && fnonces == NULL) {
if ((fnonces = fopen("nonces.bin","wb")) == NULL) {
PrintAndLog("Could not create file nonces.bin");
fwrite(&trgKeyType, 1, 1, fnonces);
fflush(fnonces);
}
+ initialize = false;
}
-
- if (!initialize) {
- uint32_t nt_enc1, nt_enc2;
- uint8_t par_enc;
- uint16_t num_acquired_nonces = resp.arg[2];
- uint8_t *bufp = resp.d.asBytes;
- for (uint16_t i = 0; i < num_acquired_nonces; i+=2) {
- nt_enc1 = bytes_to_num(bufp, 4);
- nt_enc2 = bytes_to_num(bufp+4, 4);
- par_enc = bytes_to_num(bufp+8, 1);
-
- //printf("Encrypted nonce: %08x, encrypted_parity: %02x\n", nt_enc1, par_enc >> 4);
- total_added_nonces += add_nonce(nt_enc1, par_enc >> 4);
- //printf("Encrypted nonce: %08x, encrypted_parity: %02x\n", nt_enc2, par_enc & 0x0f);
- total_added_nonces += add_nonce(nt_enc2, par_enc & 0x0f);
-
- if (nonce_file_write && fnonces) {
- fwrite(bufp, 1, 9, fnonces);
- fflush(fnonces);
- }
-
- bufp += 9;
+
+ uint32_t nt_enc1, nt_enc2;
+ uint8_t par_enc;
+ uint16_t num_acquired_nonces = resp.arg[2];
+ uint8_t *bufp = resp.d.asBytes;
+ for (uint16_t i = 0; i < num_acquired_nonces; i+=2) {
+ nt_enc1 = bytes_to_num(bufp, 4);
+ nt_enc2 = bytes_to_num(bufp+4, 4);
+ par_enc = bytes_to_num(bufp+8, 1);
+
+ //printf("Encrypted nonce: %08x, encrypted_parity: %02x\n", nt_enc1, par_enc >> 4);
+ total_added_nonces += add_nonce(nt_enc1, par_enc >> 4);
+ //printf("Encrypted nonce: %08x, encrypted_parity: %02x\n", nt_enc2, par_enc & 0x0f);
+ total_added_nonces += add_nonce(nt_enc2, par_enc & 0x0f);
+
+ if (nonce_file_write && fnonces) {
+ fwrite(bufp, 1, 9, fnonces);
+ fflush(fnonces);
}
-
- total_num_nonces += num_acquired_nonces;
+ bufp += 9;
}
+ total_num_nonces += num_acquired_nonces;
+
+ if (first_byte_num == 256) {
- if (first_byte_num == 256 && !field_off) {
- // printf("first_byte_num = %d, first_byte_Sum = %d\n", first_byte_num, first_byte_Sum);
if (!filter_flip_checked) {
Check_for_FilterFlipProperties();
filter_flip_checked = true;
}
num_good_first_bytes = estimate_second_byte_sum();
+
if (total_num_nonces > next_fivehundred) {
next_fivehundred = (total_num_nonces/500+1) * 500;
- printf("Acquired %5d nonces (%5d / %5d with distinct bytes 0 and 1). Number of bytes with probability for correctly guessed Sum(a8) > %1.1f%%: %d\n",
+ printf("Acquired %5d nonces (%5d/%5d with distinct bytes 0,1). #bytes with probability for correctly guessed Sum(a8) > %1.1f%%: %d\n",
total_num_nonces,
total_added_nonces,
- (total_added_nonces < MIN_NONCES_REQUIRED) ? MIN_NONCES_REQUIRED : (NONCES_TRIGGER*idx),
+ NONCES_THRESHOLD * idx,
CONFIDENCE_THRESHOLD * 100.0,
num_good_first_bytes);
}
- if (total_added_nonces >= MIN_NONCES_REQUIRED) {
- num_good_first_bytes = estimate_second_byte_sum();
- if (total_added_nonces > (NONCES_TRIGGER * idx)) {
-
- clock_t time1 = clock();
- bool cracking = generate_candidates(first_byte_Sum, nonces[best_first_bytes[0]].Sum8_guess);
- time1 = clock() - time1;
- if (time1 > 0) PrintAndLog("Time for generating key candidates list: %1.0f seconds", ((float)time1)/CLOCKS_PER_SEC);
-
- if (cracking || known_target_key != -1) {
- field_off = brute_force(); // switch off field with next SendCommand and then finish
- }
-
- idx++;
+ if (total_added_nonces >= (NONCES_THRESHOLD * idx) && num_good_first_bytes > 0 ) {
+ bool cracking = generate_candidates(first_byte_Sum, nonces[best_first_bytes[0]].Sum8_guess);
+ if (cracking || known_target_key != -1) {
+ field_off = brute_force(); // switch off field with next SendCommand and then finish
}
+ idx++;
}
-
}
-
- if (!initialize) {
- if (!WaitForResponseTimeout(CMD_ACK, &resp, 3000)) {
- if (fnonces) fclose(fnonces);
- return 1;
- }
-
- if (resp.arg[0]) {
- if (fnonces) fclose(fnonces);
- return resp.arg[0]; // error during nested_hard
- }
- }
-
- initialize = false;
} while (!finished);
uint32_t state_odd = pcs->odd & 0x00ffffff;
uint32_t state_even = pcs->even & 0x00ffffff;
//printf("Tests: searching for key %llx after first byte 0x%02x (state_odd = 0x%06x, state_even = 0x%06x) ...\n", key, best_first_bytes[0], state_odd, state_even);
-
+ printf("Validating keysearch space\n");
uint64_t count = 0;
for (statelist_t *p = candidates; p != NULL; p = p->next) {
bool found_odd = false;
}
count += (p_odd - p->states[ODD_STATE]) * (p_even - p->states[EVEN_STATE]);
if (found_odd && found_even) {
- PrintAndLog("\nKey Found after testing %lld (2^%1.1f) out of %lld (2^%1.1f) keys. ",
+ PrintAndLog("Key Found after testing %llu (2^%1.1f) out of %lld (2^%1.1f) keys.",
count,
log(count)/log(2),
maximum_states,
for (uint16_t s = 0; s <= 16; s += 2) {
if (r*(16-s) + (16-r)*s == sum_a8) {
current_candidates = add_more_candidates(current_candidates);
+ if (current_candidates) {
// check for the smallest partial statelist. Try this first - it might give 0 candidates
// and eliminate the need to calculate the other part
if (MIN(partial_statelist[p].len[ODD_STATE], partial_statelist[r].len[ODD_STATE])
}
}
}
+ }
maximum_states = 0;
- for (statelist_t *sl = candidates; sl != NULL; sl = sl->next) {
+ unsigned int n = 0;
+ for (statelist_t *sl = candidates; sl != NULL && n < 128; sl = sl->next, n++) {
maximum_states += (uint64_t)sl->len[ODD_STATE] * sl->len[EVEN_STATE];
}
}
}
+#define MAX_BUCKETS 128
uint64_t foundkey = 0;
size_t keys_found = 0;
size_t bucket_count = 0;
-statelist_t* buckets[128];
+statelist_t* buckets[MAX_BUCKETS];
size_t total_states_tested = 0;
size_t thread_count = 4;
return NULL;
}
-static bool brute_force(void)
-{
+static bool brute_force(void) {
+ if (maximum_states == 0) return false; // prevent keyspace reduction error (2^-inf)
+
bool ret = false;
if (known_target_key != -1) {
PrintAndLog("Looking for known target key in remaining key space...");
ret = TestIfKeyExists(known_target_key);
} else {
- if (maximum_states == 0) return false; // prevent keyspace reduction error (2^-inf)
-
PrintAndLog("Brute force phase starting.");
clock_t time1 = clock();
// count number of states to go
bucket_count = 0;
- for (statelist_t *p = candidates; p != NULL; p = p->next) {
+ for (statelist_t *p = candidates; p != NULL && bucket_count < MAX_BUCKETS; p = p->next) {
buckets[bucket_count] = p;
bucket_count++;
}
+ buckets[bucket_count] = NULL;
#ifndef __WIN32
thread_count = sysconf(_SC_NPROCESSORS_CONF);
}
time1 = clock() - time1;
- if ( time1 < 0 ) time1 = -1;
+ PrintAndLog("\nTime for bruteforce %0.1f seconds.",((float)time1)/CLOCKS_PER_SEC);
if (keys_found && TestIfKeyExists(foundkey)) {
- PrintAndLog("Success! Found %u keys after %0.0f seconds", keys_found, ((float)time1)/CLOCKS_PER_SEC);
PrintAndLog("\nFound key: %012"PRIx64"\n", foundkey);
ret = true;
- } else {
- PrintAndLog("Fail! Tested %"PRIu32" states, in %0.0f seconds", total_states_tested, ((float)time1)/CLOCKS_PER_SEC);
- }
-
+ }
// reset this counter for the next call
nonces_to_bruteforce = 0;
}
-
return ret;
}
if (time1 > 0)
PrintAndLog("Time for generating key candidates list: %1.0f seconds", ((float)time1)/CLOCKS_PER_SEC);
- if (cracking)
+ if (cracking || known_target_key != -1) {
brute_force();
+ }
+
} else { // acquire nonces.
uint16_t is_OK = acquire_nonces(blockNo, keyType, key, trgBlockNo, trgKeyType, nonce_file_write, slow);
if (is_OK != 0) {
}
//Tests();
-
- //PrintAndLog("");
- //PrintAndLog("Sum(a0) = %d", first_byte_Sum);
- // PrintAndLog("Best 10 first bytes: %02x, %02x, %02x, %02x, %02x, %02x, %02x, %02x, %02x, %02x",
- // best_first_bytes[0],
- // best_first_bytes[1],
- // best_first_bytes[2],
- // best_first_bytes[3],
- // best_first_bytes[4],
- // best_first_bytes[5],
- // best_first_bytes[6],
- // best_first_bytes[7],
- // best_first_bytes[8],
- // best_first_bytes[9] );
-
free_nonces_memory();
free_statelist_cache();
free_candidates_memory(candidates);
projects / proxmark3-svn / blobdiff