#include <stdlib.h>
#include <string.h>
#include <pthread.h>
+#include <locale.h>
#include <math.h>
#include "proxmark3.h"
#include "cmdmain.h"
// uint32_t test_state_even = 0;
#define CONFIDENCE_THRESHOLD 0.95 // Collect nonces until we are certain enough that the following brute force is successfull
-#define GOOD_BYTES_REQUIRED 20
+#define GOOD_BYTES_REQUIRED 30
static const float p_K[257] = { // the probability that a random nonce has a Sum Property == K
static uint32_t cuid;
static noncelist_t nonces[256];
+static uint8_t best_first_bytes[256];
static uint16_t first_byte_Sum = 0;
static uint16_t first_byte_num = 0;
static uint16_t num_good_first_bytes = 0;
static uint64_t maximum_states = 0;
static uint64_t known_target_key;
-
-#define MAX_BEST_BYTES 256
-static uint8_t best_first_bytes[MAX_BEST_BYTES];
+static bool write_stats = false;
+static FILE *fstats = NULL;
typedef enum {
}
+static void init_nonce_memory(void)
+{
+ for (uint16_t i = 0; i < 256; i++) {
+ nonces[i].num = 0;
+ nonces[i].Sum = 0;
+ nonces[i].Sum8_guess = 0;
+ nonces[i].Sum8_prob = 0.0;
+ nonces[i].updated = true;
+ nonces[i].first = NULL;
+ }
+ first_byte_num = 0;
+ first_byte_Sum = 0;
+ num_good_first_bytes = 0;
+}
+
+
+static void free_nonce_list(noncelistentry_t *p)
+{
+ if (p == NULL) {
+ return;
+ } else {
+ free_nonce_list(p->next);
+ free(p);
+ }
+}
+
+
+static void free_nonces_memory(void)
+{
+ for (uint16_t i = 0; i < 256; i++) {
+ free_nonce_list(nonces[i].first);
+ }
+}
+
+
static uint16_t PartialSumProperty(uint32_t state, odd_even_t odd_even)
{
uint16_t sum = 0;
}
-static uint16_t SumProperty(struct Crypto1State *s)
-{
- uint16_t sum_odd = PartialSumProperty(s->odd, ODD_STATE);
- uint16_t sum_even = PartialSumProperty(s->even, EVEN_STATE);
- return (sum_odd*(16-sum_even) + (16-sum_odd)*sum_even);
-}
+// static uint16_t SumProperty(struct Crypto1State *s)
+// {
+ // uint16_t sum_odd = PartialSumProperty(s->odd, ODD_STATE);
+ // uint16_t sum_even = PartialSumProperty(s->even, EVEN_STATE);
+ // return (sum_odd*(16-sum_even) + (16-sum_odd)*sum_even);
+// }
static double p_hypergeometric(uint16_t N, uint16_t K, uint16_t n, uint16_t k)
static void Tests()
{
- printf("Tests: Partial Statelist sizes\n");
- for (uint16_t i = 0; i <= 16; i+=2) {
- printf("Partial State List Odd [%2d] has %8d entries\n", i, partial_statelist[i].len[ODD_STATE]);
- }
- for (uint16_t i = 0; i <= 16; i+=2) {
- printf("Partial State List Even [%2d] has %8d entries\n", i, partial_statelist[i].len[EVEN_STATE]);
- }
+ // printf("Tests: Partial Statelist sizes\n");
+ // for (uint16_t i = 0; i <= 16; i+=2) {
+ // printf("Partial State List Odd [%2d] has %8d entries\n", i, partial_statelist[i].len[ODD_STATE]);
+ // }
+ // for (uint16_t i = 0; i <= 16; i+=2) {
+ // printf("Partial State List Even [%2d] has %8d entries\n", i, partial_statelist[i].len[EVEN_STATE]);
+ // }
// #define NUM_STATISTICS 100000
// uint32_t statistics_odd[17];
// printf("p_hypergeometric(256, 1, 1, 1) = %0.8f\n", p_hypergeometric(256, 1, 1, 1));
// printf("p_hypergeometric(256, 1, 1, 0) = %0.8f\n", p_hypergeometric(256, 1, 1, 0));
- struct Crypto1State *pcs;
- pcs = crypto1_create(0xffffffffffff);
- printf("\nTests: for key = 0xffffffffffff:\nSum(a0) = %d\nodd_state = 0x%06x\neven_state = 0x%06x\n",
- SumProperty(pcs), pcs->odd & 0x00ffffff, pcs->even & 0x00ffffff);
- crypto1_byte(pcs, (cuid >> 24) ^ best_first_bytes[0], true);
- printf("After adding best first byte 0x%02x:\nSum(a8) = %d\nodd_state = 0x%06x\neven_state = 0x%06x\n",
- best_first_bytes[0],
- SumProperty(pcs),
- pcs->odd & 0x00ffffff, pcs->even & 0x00ffffff);
- //test_state_odd = pcs->odd & 0x00ffffff;
- //test_state_even = pcs->even & 0x00ffffff;
- crypto1_destroy(pcs);
- pcs = crypto1_create(0xa0a1a2a3a4a5);
- printf("Tests: for key = 0xa0a1a2a3a4a5:\nSum(a0) = %d\nodd_state = 0x%06x\neven_state = 0x%06x\n",
- SumProperty(pcs), pcs->odd & 0x00ffffff, pcs->even & 0x00ffffff);
- crypto1_byte(pcs, (cuid >> 24) ^ best_first_bytes[0], true);
- printf("After adding best first byte 0x%02x:\nSum(a8) = %d\nodd_state = 0x%06x\neven_state = 0x%06x\n",
- best_first_bytes[0],
- SumProperty(pcs),
- pcs->odd & 0x00ffffff, pcs->even & 0x00ffffff);
- // test_state_odd = pcs->odd & 0x00ffffff;
- // test_state_even = pcs->even & 0x00ffffff;
- crypto1_destroy(pcs);
- pcs = crypto1_create(0xa6b9aa97b955);
- printf("Tests: for key = 0xa6b9aa97b955:\nSum(a0) = %d\nodd_state = 0x%06x\neven_state = 0x%06x\n",
- SumProperty(pcs), pcs->odd & 0x00ffffff, pcs->even & 0x00ffffff);
- crypto1_byte(pcs, (cuid >> 24) ^ best_first_bytes[0], true);
- printf("After adding best first byte 0x%02x:\nSum(a8) = %d\nodd_state = 0x%06x\neven_state = 0x%06x\n",
- best_first_bytes[0],
- SumProperty(pcs),
- pcs->odd & 0x00ffffff, pcs->even & 0x00ffffff);
+ // struct Crypto1State *pcs;
+ // pcs = crypto1_create(0xffffffffffff);
+ // printf("\nTests: for key = 0xffffffffffff:\nSum(a0) = %d\nodd_state = 0x%06x\neven_state = 0x%06x\n",
+ // SumProperty(pcs), pcs->odd & 0x00ffffff, pcs->even & 0x00ffffff);
+ // crypto1_byte(pcs, (cuid >> 24) ^ best_first_bytes[0], true);
+ // printf("After adding best first byte 0x%02x:\nSum(a8) = %d\nodd_state = 0x%06x\neven_state = 0x%06x\n",
+ // best_first_bytes[0],
+ // SumProperty(pcs),
+ // pcs->odd & 0x00ffffff, pcs->even & 0x00ffffff);
+ // //test_state_odd = pcs->odd & 0x00ffffff;
+ // //test_state_even = pcs->even & 0x00ffffff;
+ // crypto1_destroy(pcs);
+ // pcs = crypto1_create(0xa0a1a2a3a4a5);
+ // printf("Tests: for key = 0xa0a1a2a3a4a5:\nSum(a0) = %d\nodd_state = 0x%06x\neven_state = 0x%06x\n",
+ // SumProperty(pcs), pcs->odd & 0x00ffffff, pcs->even & 0x00ffffff);
+ // crypto1_byte(pcs, (cuid >> 24) ^ best_first_bytes[0], true);
+ // printf("After adding best first byte 0x%02x:\nSum(a8) = %d\nodd_state = 0x%06x\neven_state = 0x%06x\n",
+ // best_first_bytes[0],
+ // SumProperty(pcs),
+ // pcs->odd & 0x00ffffff, pcs->even & 0x00ffffff);
+ // //test_state_odd = pcs->odd & 0x00ffffff;
+ // //test_state_even = pcs->even & 0x00ffffff;
+ // crypto1_destroy(pcs);
+ // pcs = crypto1_create(0xa6b9aa97b955);
+ // printf("Tests: for key = 0xa6b9aa97b955:\nSum(a0) = %d\nodd_state = 0x%06x\neven_state = 0x%06x\n",
+ // SumProperty(pcs), pcs->odd & 0x00ffffff, pcs->even & 0x00ffffff);
+ // crypto1_byte(pcs, (cuid >> 24) ^ best_first_bytes[0], true);
+ // printf("After adding best first byte 0x%02x:\nSum(a8) = %d\nodd_state = 0x%06x\neven_state = 0x%06x\n",
+ // best_first_bytes[0],
+ // SumProperty(pcs),
+ // pcs->odd & 0x00ffffff, pcs->even & 0x00ffffff);
//test_state_odd = pcs->odd & 0x00ffffff;
//test_state_even = pcs->even & 0x00ffffff;
- crypto1_destroy(pcs);
-
+ // crypto1_destroy(pcs);
- printf("\nTests: number of states with BitFlipProperty: %d, (= %1.3f%% of total states)\n", statelist_bitflip.len[0], 100.0 * statelist_bitflip.len[0] / (1<<20));
+
+ // printf("\nTests: number of states with BitFlipProperty: %d, (= %1.3f%% of total states)\n", statelist_bitflip.len[0], 100.0 * statelist_bitflip.len[0] / (1<<20));
printf("\nTests: Actual BitFlipProperties odd/even:\n");
for (uint16_t i = 0; i < 256; i++) {
- printf("[%02x]:%c%c ", i, nonces[i].BitFlip[ODD_STATE]?'o':' ', nonces[i].BitFlip[EVEN_STATE]?'e':' ');
+ printf("[%02x]:%c ", i, nonces[i].BitFlip[ODD_STATE]?'o':nonces[i].BitFlip[EVEN_STATE]?'e':' ');
if (i % 8 == 7) {
printf("\n");
}
}
- printf("\nTests: Best %d first bytes:\n", MAX_BEST_BYTES);
- for (uint16_t i = 0; i < MAX_BEST_BYTES; i++) {
+ printf("\nTests: Sorted First Bytes:\n");
+ for (uint16_t i = 0; i < 256; i++) {
uint8_t best_byte = best_first_bytes[i];
- printf("#%03d Byte: %02x, n = %2d, k = %2d, Sum(a8): %3d, Confidence: %2.1f%%, Bitflip: %c%c\n",
- //printf("#%03d Byte: %02x, n = %2d, k = %2d, Sum(a8): %3d, Confidence: %2.1f%%, Bitflip: %c%c, score1: %f, score2: %f\n",
+ printf("#%03d Byte: %02x, n = %3d, k = %3d, Sum(a8): %3d, Confidence: %5.1f%%, Bitflip: %c\n",
+ //printf("#%03d Byte: %02x, n = %3d, k = %3d, Sum(a8): %3d, Confidence: %5.1f%%, Bitflip: %c, score1: %1.5f, score2: %1.0f\n",
i, best_byte,
nonces[best_byte].num,
nonces[best_byte].Sum,
nonces[best_byte].Sum8_guess,
nonces[best_byte].Sum8_prob * 100,
- nonces[best_byte].BitFlip[ODD_STATE]?'o':' ',
- nonces[best_byte].BitFlip[EVEN_STATE]?'e':' '
+ nonces[best_byte].BitFlip[ODD_STATE]?'o':nonces[best_byte].BitFlip[EVEN_STATE]?'e':' '
//nonces[best_byte].score1,
//nonces[best_byte].score2
);
static void sort_best_first_bytes(void)
{
- // first, sort based on probability for correct guess
+ // sort based on probability for correct guess
for (uint16_t i = 0; i < 256; i++ ) {
uint16_t j = 0;
float prob1 = nonces[i].Sum8_prob;
float prob2 = nonces[best_first_bytes[0]].Sum8_prob;
- while (prob1 < prob2 && j < MAX_BEST_BYTES-1) {
+ while (prob1 < prob2 && j < i) {
prob2 = nonces[best_first_bytes[++j]].Sum8_prob;
}
- if (prob1 >= prob2) {
- for (uint16_t k = MAX_BEST_BYTES-1; k > j; k--) {
+ if (j < i) {
+ for (uint16_t k = i; k > j; k--) {
best_first_bytes[k] = best_first_bytes[k-1];
}
+ }
best_first_bytes[j] = i;
}
- }
- // determine, how many are above the CONFIDENCE_THRESHOLD
+ // determine how many are above the CONFIDENCE_THRESHOLD
uint16_t num_good_nonces = 0;
- for (uint16_t i = 0; i < MAX_BEST_BYTES; i++) {
+ for (uint16_t i = 0; i < 256; i++) {
if (nonces[best_first_bytes[i]].Sum8_prob > CONFIDENCE_THRESHOLD) {
++num_good_nonces;
}
static uint16_t estimate_second_byte_sum(void)
{
- for (uint16_t i = 0; i < MAX_BEST_BYTES; i++) {
- best_first_bytes[i] = 0;
- }
for (uint16_t first_byte = 0; first_byte < 256; first_byte++) {
float Sum8_prob = 0.0;
sort_best_first_bytes();
uint16_t num_good_nonces = 0;
- for (uint16_t i = 0; i < MAX_BEST_BYTES; i++) {
+ for (uint16_t i = 0; i < 256; i++) {
if (nonces[best_first_bytes[i]].Sum8_prob > CONFIDENCE_THRESHOLD) {
++num_good_nonces;
}
{
printf("Checking for Filter Flip Properties...\n");
+ uint16_t num_bitflips = 0;
+
for (uint16_t i = 0; i < 256; i++) {
nonces[i].BitFlip[ODD_STATE] = false;
nonces[i].BitFlip[EVEN_STATE] = false;
if (parity1 == parity2_odd) { // has Bit Flip Property for odd bits
nonces[i].BitFlip[ODD_STATE] = true;
+ num_bitflips++;
} else if (parity1 == parity2_even) { // has Bit Flip Property for even bits
nonces[i].BitFlip[EVEN_STATE] = true;
+ num_bitflips++;
}
}
+
+ if (write_stats) {
+ fprintf(fstats, "%d;", num_bitflips);
+ }
+}
+
+
+static void simulate_MFplus_RNG(uint32_t test_cuid, uint64_t test_key, uint32_t *nt_enc, uint8_t *par_enc)
+{
+ struct Crypto1State sim_cs;
+
+ // init cryptostate with key:
+ for(int8_t i = 47; i > 0; i -= 2) {
+ sim_cs.odd = sim_cs.odd << 1 | BIT(test_key, (i - 1) ^ 7);
+ sim_cs.even = sim_cs.even << 1 | BIT(test_key, i ^ 7);
+ }
+
+ *par_enc = 0;
+ uint32_t nt = (rand() & 0xff) << 24 | (rand() & 0xff) << 16 | (rand() & 0xff) << 8 | (rand() & 0xff);
+ for (int8_t byte_pos = 3; byte_pos >= 0; byte_pos--) {
+ uint8_t nt_byte_dec = (nt >> (8*byte_pos)) & 0xff;
+ uint8_t nt_byte_enc = crypto1_byte(&sim_cs, nt_byte_dec ^ (test_cuid >> (8*byte_pos)), false) ^ nt_byte_dec; // encode the nonce byte
+ *nt_enc = (*nt_enc << 8) | nt_byte_enc;
+ uint8_t ks_par = filter(sim_cs.odd); // the keystream bit to encode/decode the parity bit
+ uint8_t nt_byte_par_enc = ks_par ^ oddparity8(nt_byte_dec); // determine the nt byte's parity and encode it
+ *par_enc = (*par_enc << 1) | nt_byte_par_enc;
+ }
+
+}
+
+
+static void simulate_acquire_nonces()
+{
+ clock_t time1 = clock();
+ bool filter_flip_checked = false;
+ uint32_t total_num_nonces = 0;
+ uint32_t next_fivehundred = 500;
+ uint32_t total_added_nonces = 0;
+
+ cuid = (rand() & 0xff) << 24 | (rand() & 0xff) << 16 | (rand() & 0xff) << 8 | (rand() & 0xff);
+ known_target_key = ((uint64_t)rand() & 0xfff) << 36 | ((uint64_t)rand() & 0xfff) << 24 | ((uint64_t)rand() & 0xfff) << 12 | ((uint64_t)rand() & 0xfff);
+
+ printf("Simulating nonce acquisition for target key %012"llx", cuid %08x ...\n", known_target_key, cuid);
+ fprintf(fstats, "%012"llx";%08x;", known_target_key, cuid);
+
+ do {
+ uint32_t nt_enc = 0;
+ uint8_t par_enc = 0;
+
+ simulate_MFplus_RNG(cuid, known_target_key, &nt_enc, &par_enc);
+ //printf("Simulated RNG: nt_enc1: %08x, nt_enc2: %08x, par_enc: %02x\n", nt_enc1, nt_enc2, par_enc);
+ total_added_nonces += add_nonce(nt_enc, par_enc);
+ total_num_nonces++;
+
+ if (first_byte_num == 256 ) {
+ // 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 with distinct bytes 0 and 1). Number of bytes with probability for correctly guessed Sum(a8) > %1.1f%%: %d\n",
+ total_num_nonces,
+ total_added_nonces,
+ CONFIDENCE_THRESHOLD * 100.0,
+ num_good_first_bytes);
+ }
+ }
+
+ } while (num_good_first_bytes < GOOD_BYTES_REQUIRED);
+
+ PrintAndLog("Acquired a total of %d nonces in %1.1f seconds (%0.0f nonces/minute)",
+ total_num_nonces,
+ ((float)clock()-time1)/CLOCKS_PER_SEC,
+ total_num_nonces*60.0*CLOCKS_PER_SEC/((float)clock()-time1));
+
+ fprintf(fstats, "%d;%d;%d;%1.2f;", total_num_nonces, total_added_nonces, num_good_first_bytes, CONFIDENCE_THRESHOLD);
+
}
static void init_statelist_cache(void)
{
-
for (uint16_t i = 0; i < 17; i+=2) {
for (uint16_t j = 0; j < 17; j+=2) {
for (uint16_t k = 0; k < 2; k++) {
PrintAndLog("Key Found after testing %lld (2^%1.1f) out of %lld (2^%1.1f) keys. A brute force would have taken approx %lld minutes.",
count, log(count)/log(2),
maximum_states, log(maximum_states)/log(2),
- (count>>22)/60);
+ (count>>23)/60);
+ if (write_stats) {
+ fprintf(fstats, "1\n");
+ }
crypto1_destroy(pcs);
return;
}
}
printf("Key NOT found!\n");
+ if (write_stats) {
+ fprintf(fstats, "0\n");
+ }
crypto1_destroy(pcs);
}
maximum_states += (uint64_t)sl->len[ODD_STATE] * sl->len[EVEN_STATE];
}
printf("Number of remaining possible keys: %lld (2^%1.1f)\n", maximum_states, log(maximum_states)/log(2.0));
+ if (write_stats) {
+ if (maximum_states != 0) {
+ fprintf(fstats, "%1.1f;", log(maximum_states)/log(2.0));
+ } else {
+ fprintf(fstats, "%1.1f;", 0.0);
+ }
+ }
+}
+
+static void free_candidates_memory(statelist_t *sl)
+{
+ if (sl == NULL) {
+ return;
+ } else {
+ free_candidates_memory(sl->next);
+ free(sl);
+ }
+}
+
+
+static void free_statelist_cache(void)
+{
+ for (uint16_t i = 0; i < 17; i+=2) {
+ for (uint16_t j = 0; j < 17; j+=2) {
+ for (uint16_t k = 0; k < 2; k++) {
+ free(sl_cache[i][j][k].sl);
+ }
+ }
+ }
}
if (known_target_key != -1) {
PrintAndLog("Looking for known target key in remaining key space...");
TestIfKeyExists(known_target_key);
- return;
} else {
PrintAndLog("Brute Force phase is not implemented.");
- return;
}
-
}
-int mfnestedhard(uint8_t blockNo, uint8_t keyType, uint8_t *key, uint8_t trgBlockNo, uint8_t trgKeyType, uint8_t *trgkey, bool nonce_file_read, bool nonce_file_write, bool slow)
+int mfnestedhard(uint8_t blockNo, uint8_t keyType, uint8_t *key, uint8_t trgBlockNo, uint8_t trgKeyType, uint8_t *trgkey, bool nonce_file_read, bool nonce_file_write, bool slow, int tests)
{
+ // initialize Random number generator
+ time_t t;
+ srand((unsigned) time(&t));
+
if (trgkey != NULL) {
known_target_key = bytes_to_num(trgkey, 6);
} else {
known_target_key = -1;
}
- // initialize the list of nonces
- for (uint16_t i = 0; i < 256; i++) {
- nonces[i].num = 0;
- nonces[i].Sum = 0;
- nonces[i].Sum8_guess = 0;
- nonces[i].Sum8_prob = 0.0;
- nonces[i].updated = true;
- nonces[i].first = NULL;
- }
- first_byte_num = 0;
- first_byte_Sum = 0;
- num_good_first_bytes = 0;
-
init_partial_statelists();
init_BitFlip_statelist();
+ write_stats = false;
+ if (tests) {
+ // set the correct locale for the stats printing
+ setlocale(LC_ALL, "");
+ write_stats = true;
+ if ((fstats = fopen("hardnested_stats.txt","a")) == NULL) {
+ PrintAndLog("Could not create/open file hardnested_stats.txt");
+ return 3;
+ }
+ for (uint32_t i = 0; i < tests; i++) {
+ init_nonce_memory();
+ simulate_acquire_nonces();
+ Tests();
+ printf("Sum(a0) = %d\n", first_byte_Sum);
+ fprintf(fstats, "%d;", first_byte_Sum);
+ generate_candidates(first_byte_Sum, nonces[best_first_bytes[0]].Sum8_guess);
+ brute_force();
+ free_nonces_memory();
+ free_statelist_cache();
+ free_candidates_memory(candidates);
+ candidates = NULL;
+ }
+ fclose(fstats);
+ } else {
+ init_nonce_memory();
if (nonce_file_read) { // use pre-acquired data from file nonces.bin
if (read_nonce_file() != 0) {
return 3;
}
}
-
Tests();
PrintAndLog("");
PrintAndLog("Time for generating key candidates list: %1.0f seconds", (float)(clock() - start_time)/CLOCKS_PER_SEC);
brute_force();
+ free_nonces_memory();
+ free_statelist_cache();
+ free_candidates_memory(candidates);
+ candidates = NULL;
+ }
return 0;
}
projects / proxmark3-svn / blobdiff