]> git.zerfleddert.de Git - proxmark3-svn/commitdiff
add: missing two hard_nested files..
authoriceman1001 <iceman@iuse.se>
Wed, 2 Dec 2015 15:48:25 +0000 (16:48 +0100)
committericeman1001 <iceman@iuse.se>
Wed, 2 Dec 2015 15:48:25 +0000 (16:48 +0100)
armsrc/lfops.c
client/cmdhfmfhard.c [new file with mode: 0644]
client/cmdhfmfhard.h [new file with mode: 0644]
client/cmdlfem4x.c
common/protocols.c

index 702f4b1f7b1e5040eb05cc706b3e254f19342586..e939259519b7a9a3588ad447facc899cd6463e30 100644 (file)
@@ -1060,9 +1060,9 @@ void CmdIOdemodFSK(int findone, int *high, int *low, int ledcontrol)
  * Q5 tags seems to have issues when these values changes. 
  */
 
-#define START_GAP 50*8 // was 250 // SPEC:  1*8 to 50*8 - typ 15*8 (or 15fc)
+#define START_GAP 31*8 // was 250 // SPEC:  1*8 to 50*8 - typ 15*8 (or 15fc)
 #define WRITE_GAP 20*8 // was 160 // SPEC:  1*8 to 20*8 - typ 10*8 (or 10fc)
-#define WRITE_0   16*8 // was 144 // SPEC: 16*8 to 32*8 - typ 24*8 (or 24fc)
+#define WRITE_0   18*8 // was 144 // SPEC: 16*8 to 32*8 - typ 24*8 (or 24fc)
 #define WRITE_1   50*8 // was 400 // SPEC: 48*8 to 64*8 - typ 56*8 (or 56fc)  432 for T55x7; 448 for E5550
 #define READ_GAP  15*8 
 
@@ -1260,7 +1260,7 @@ void T55xxWakeUp(uint32_t Pwd){
 void WriteT55xx(uint32_t *blockdata, uint8_t startblock, uint8_t numblocks) {
        // write last block first and config block last (if included)
        for (uint8_t i = numblocks+startblock; i > startblock; i--)
-               T55xxWriteBlockExt(blockdata[i-1],i-1,0,0);
+               T55xxWriteBlockExt(blockdata[i-1], i-1, 0, 0);
 }
 
 // Copy HID id to card and setup block 0 config
@@ -1429,11 +1429,11 @@ void WriteEM410x(uint32_t card, uint32_t id_hi, uint32_t id_lo) {
        LED_D_ON();
 
        // Write EM410x ID
-       uint32_t data[] = {0, id>>32, id & 0xFFFFFFFF};
+       uint32_t data[] = {0, (uint32_t)(id>>32), id & 0xFFFFFFFF};
 
-               clock = (card & 0xFF00) >> 8;
-               clock = (clock == 0) ? 64 : clock;
-               Dbprintf("Clock rate: %d", clock);
+       clock = (card & 0xFF00) >> 8;
+       clock = (clock == 0) ? 64 : clock;
+       Dbprintf("Clock rate: %d", clock);
        if (card & 0xFF) { //t55x7
                clock = GetT55xxClockBit(clock);
                if (clock == 0) {
@@ -1449,8 +1449,10 @@ void WriteEM410x(uint32_t card, uint32_t id_hi, uint32_t id_lo) {
        WriteT55xx(data, 0, 3);
 
        LED_D_OFF();
-       Dbprintf("Tag %s written with 0x%08x%08x\n", card ? "T55x7":"T5555",
-                        (uint32_t)(id >> 32), (uint32_t)id);
+       Dbprintf("Tag %s written with 0x%08x%08x\n",
+                       card ? "T55x7":"T5555",
+                       (uint32_t)(id >> 32),
+                       (uint32_t)id);
 }
 
 //-----------------------------------
diff --git a/client/cmdhfmfhard.c b/client/cmdhfmfhard.c
new file mode 100644 (file)
index 0000000..6cd5a5b
--- /dev/null
@@ -0,0 +1,1058 @@
+//-----------------------------------------------------------------------------
+// Copyright (C) 2015 piwi
+//
+// 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.
+//-----------------------------------------------------------------------------
+// Implements a card only attack based on crypto text (encrypted nonces
+// received during a nested authentication) only. Unlike other card only
+// attacks this doesn't rely on implementation errors but only on the
+// inherent weaknesses of the crypto1 cypher. Described in
+//   Carlo Meijer, Roel Verdult, "Ciphertext-only Cryptanalysis on Hardened
+//   Mifare Classic Cards" in Proceedings of the 22nd ACM SIGSAC Conference on 
+//   Computer and Communications Security, 2015
+//-----------------------------------------------------------------------------
+
+#include <stdio.h>
+#include <stdlib.h> 
+#include <string.h>
+#include <pthread.h>
+#include <math.h>
+#include "proxmark3.h"
+#include "cmdmain.h"
+#include "ui.h"
+#include "util.h"
+#include "nonce2key/crapto1.h"
+
+// uint32_t test_state_odd = 0;
+// uint32_t test_state_even = 0;
+
+#define CONFIDENCE_THRESHOLD   0.99            // Collect nonces until we are certain enough that the following brute force is successfull
+#define GOOD_BYTES_REQUIRED            25
+
+
+static const float p_K[257] = {                // the probability that a random nonce has a Sum Property == K 
+       0.0290, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 
+       0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000,
+       0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 
+       0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000,
+       0.0083, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 
+       0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000,
+       0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 
+       0.0006, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000,
+       0.0339, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 
+       0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000,
+       0.0048, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 
+       0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000,
+       0.0934, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 
+       0.0119, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000,
+       0.0489, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 
+       0.0602, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000,
+       0.4180, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 
+       0.0602, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000,
+       0.0489, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 
+       0.0119, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000,
+       0.0934, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 
+       0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000,
+       0.0048, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 
+       0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000,
+       0.0339, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 
+       0.0006, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000,
+       0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 
+       0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000,
+       0.0083, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 
+       0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000,
+       0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000,
+       0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000,
+       0.0290 };
+
+               
+typedef struct noncelistentry {
+       uint32_t nonce_enc;
+       uint8_t par_enc;
+       void *next;
+} noncelistentry_t;
+
+typedef struct noncelist {
+       uint16_t num;
+       uint16_t Sum;
+       uint16_t Sum8_guess;
+       uint8_t BitFlip[2];
+       float Sum8_prob;
+       bool updated;
+       noncelistentry_t *first;
+} noncelist_t;
+
+
+static uint32_t cuid;
+static noncelist_t nonces[256];
+static uint16_t first_byte_Sum = 0;
+static uint16_t first_byte_num = 0;
+static uint16_t num_good_first_bytes = 0;
+
+#define MAX_BEST_BYTES 40
+static uint8_t best_first_bytes[MAX_BEST_BYTES];
+
+
+typedef enum {
+       EVEN_STATE = 0,
+       ODD_STATE = 1
+} odd_even_t;
+
+#define STATELIST_INDEX_WIDTH 16
+#define STATELIST_INDEX_SIZE (1<<STATELIST_INDEX_WIDTH)
+
+typedef struct {
+       uint32_t *states[2];
+       uint32_t len[2];
+       uint32_t *index[2][STATELIST_INDEX_SIZE];
+} partial_indexed_statelist_t;
+
+typedef struct {
+       uint32_t *states[2];
+       uint32_t len[2];
+       void* next;
+} statelist_t;
+
+
+partial_indexed_statelist_t partial_statelist[17];
+partial_indexed_statelist_t statelist_bitflip;
+
+statelist_t *candidates = NULL;
+
+
+static int add_nonce(uint32_t nonce_enc, uint8_t par_enc) 
+{
+       uint8_t first_byte = nonce_enc >> 24;
+       noncelistentry_t *p1 = nonces[first_byte].first;
+       noncelistentry_t *p2 = NULL;
+
+       if (p1 == NULL) {                       // first nonce with this 1st byte
+               first_byte_num++;
+               first_byte_Sum += parity((nonce_enc & 0xff000000) | (par_enc & 0x08) | 0x01); // 1st byte sum property. Note: added XOR 1
+               // printf("Adding nonce 0x%08x, par_enc 0x%02x, parity(0x%08x) = %d\n", 
+                       // nonce_enc, 
+                       // par_enc, 
+                       // (nonce_enc & 0xff000000) | (par_enc & 0x08) |0x01, 
+                       // parity((nonce_enc & 0xff000000) | (par_enc & 0x08) | 0x01));
+       }
+
+       while (p1 != NULL && (p1->nonce_enc & 0x00ff0000) < (nonce_enc & 0x00ff0000)) {
+               p2 = p1;
+               p1 = p1->next;
+       }
+       
+       if (p1 == NULL) {                                                                                                                                       // need to add at the end of the list
+               if (p2 == NULL) {                       // list is empty yet. Add first entry.
+                       p2 = nonces[first_byte].first = malloc(sizeof(noncelistentry_t));
+               } else {                                        // add new entry at end of existing list.
+                       p2 = p2->next = malloc(sizeof(noncelistentry_t));
+               }
+       } else if ((p1->nonce_enc & 0x00ff0000) != (nonce_enc & 0x00ff0000)) {                          // found distinct 2nd byte. Need to insert.
+               if (p2 == NULL) {                       // need to insert at start of list
+                       p2 = nonces[first_byte].first = malloc(sizeof(noncelistentry_t));
+               } else {
+                       p2 = p2->next = malloc(sizeof(noncelistentry_t));
+               }
+       } else {                                                                                        // we have seen this 2nd byte before. Nothing to add or insert. 
+               return (0);
+       }
+
+       // add or insert new data
+       p2->next = p1;
+       p2->nonce_enc = nonce_enc;
+       p2->par_enc = par_enc;
+
+       nonces[first_byte].num++;
+       nonces[first_byte].Sum += parity((nonce_enc & 0x00ff0000) | (par_enc & 0x04) | 0x01); // 2nd byte sum property. Note: added XOR 1
+       nonces[first_byte].updated = true;   // indicates that we need to recalculate the Sum(a8) probability for this first byte
+
+       return (1);                             // new nonce added
+}
+
+
+static uint16_t PartialSumProperty(uint32_t state, odd_even_t odd_even)
+{ 
+       uint16_t sum = 0;
+       for (uint16_t j = 0; j < 16; j++) {
+               uint32_t st = state;
+               uint16_t part_sum = 0;
+               if (odd_even == ODD_STATE) {
+                       for (uint16_t i = 0; i < 5; i++) {
+                               part_sum ^= filter(st);
+                               st = (st << 1) | ((j >> (3-i)) & 0x01) ;
+                       }
+               } else {
+                       for (uint16_t i = 0; i < 4; i++) {
+                               st = (st << 1) | ((j >> (3-i)) & 0x01) ;
+                               part_sum ^= filter(st);
+                       }
+               }
+               sum += part_sum;
+       }
+       return sum;
+}
+
+
+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) 
+{
+       // for efficient computation we are using the recursive definition
+       //                                              (K-k+1) * (n-k+1)
+       // P(X=k) = P(X=k-1) * --------------------
+       //                                                 k * (N-K-n+k)
+       // and
+       //           (N-K)*(N-K-1)*...*(N-K-n+1)
+       // P(X=0) = -----------------------------
+       //               N*(N-1)*...*(N-n+1)
+
+       if (n-k > N-K || k > K) return 0.0;     // avoids log(x<=0) in calculation below
+       if (k == 0) {
+               // use logarithms to avoid overflow with huge factorials (double type can only hold 170!)
+               double log_result = 0.0;
+               for (int16_t i = N-K; i >= N-K-n+1; i--) {
+                       log_result += log(i);
+               } 
+               for (int16_t i = N; i >= N-n+1; i--) {
+                       log_result -= log(i);
+               }
+               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);
+                       }
+                       for (int16_t i = K+1; i <= N; i++) {
+                               log_result -= log(i);
+                       }
+                       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)));
+               }
+       }
+}
+       
+       
+static float sum_probability(uint16_t K, uint16_t n, uint16_t k)
+{
+       const uint16_t N = 256;
+       
+       
+
+               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);
+               double p_S_is_K = p_K[K];
+               double p_T_is_k = 0;
+               for (uint16_t i = 0; i <= 256; i++) {
+                       if (p_K[i] != 0.0) {
+                               p_T_is_k += p_K[i] * p_hypergeometric(N, i, n, k);
+                       }
+               }
+               return(p_T_is_k_when_S_is_K * p_S_is_K / p_T_is_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]);
+       }
+       
+       // #define NUM_STATISTICS 100000
+       // uint64_t statistics[257];
+       // uint32_t statistics_odd[17];
+       // uint32_t statistics_even[17];
+       // struct Crypto1State cs;
+       // time_t time1 = clock();
+
+       // for (uint16_t i = 0; i < 257; i++) {
+               // statistics[i] = 0;
+       // }
+       // for (uint16_t i = 0; i < 17; i++) {
+               // statistics_odd[i] = 0;
+               // statistics_even[i] = 0;
+       // }
+       
+       // for (uint64_t i = 0; i < NUM_STATISTICS; i++) {
+               // cs.odd = (rand() & 0xfff) << 12 | (rand() & 0xfff);
+               // cs.even = (rand() & 0xfff) << 12 | (rand() & 0xfff);
+               // uint16_t sum_property = SumProperty(&cs);
+               // statistics[sum_property] += 1;
+               // sum_property = PartialSumProperty(cs.even, EVEN_STATE);
+               // statistics_even[sum_property]++;
+               // sum_property = PartialSumProperty(cs.odd, ODD_STATE);
+               // statistics_odd[sum_property]++;
+               // if (i%(NUM_STATISTICS/100) == 0) printf("."); 
+       // }
+       
+       // printf("\nTests: Calculated %d Sum properties in %0.3f seconds (%0.0f calcs/second)\n", NUM_STATISTICS, ((float)clock() - time1)/CLOCKS_PER_SEC, NUM_STATISTICS/((float)clock() - time1)*CLOCKS_PER_SEC);
+       // for (uint16_t i = 0; i < 257; i++) {
+               // if (statistics[i] != 0) {
+                       // printf("probability[%3d] = %0.5f\n", i, (float)statistics[i]/NUM_STATISTICS);
+               // }
+       // }
+       // for (uint16_t i = 0; i <= 16; i++) {
+               // if (statistics_odd[i] != 0) {
+                       // printf("probability odd [%2d] = %0.5f\n", i, (float)statistics_odd[i]/NUM_STATISTICS);
+               // }
+       // }
+       // for (uint16_t i = 0; i <= 16; i++) {
+               // if (statistics_odd[i] != 0) {
+                       // printf("probability even [%2d] = %0.5f\n", i, (float)statistics_even[i]/NUM_STATISTICS);
+               // }
+       // }
+
+       // printf("Tests: Sum Probabilities based on Partial Sums\n");
+       // for (uint16_t i = 0; i < 257; i++) {
+               // statistics[i] = 0;
+       // }
+       // uint64_t num_states = 0;
+       // for (uint16_t oddsum = 0; oddsum <= 16; oddsum += 2) {
+               // for (uint16_t evensum = 0; evensum <= 16; evensum += 2) {
+                       // uint16_t sum = oddsum*(16-evensum) + (16-oddsum)*evensum;
+                       // statistics[sum] += (uint64_t)partial_statelist[oddsum].len[ODD_STATE] * partial_statelist[evensum].len[EVEN_STATE] * (1<<8);
+                       // num_states += (uint64_t)partial_statelist[oddsum].len[ODD_STATE] * partial_statelist[evensum].len[EVEN_STATE] * (1<<8);
+               // }
+       // }
+       // printf("num_states = %lld, expected %lld\n", num_states, (1LL<<48));
+       // for (uint16_t i = 0; i < 257; i++) {
+               // if (statistics[i] != 0) {
+                       // printf("probability[%3d] = %0.5f\n", i, (float)statistics[i]/num_states);
+               // }
+       // }
+       
+       // printf("\nTests: Hypergeometric Probability for selected parameters\n");
+       // printf("p_hypergeometric(256, 206, 255, 206) = %0.8f\n", p_hypergeometric(256, 206, 255, 206));
+       // printf("p_hypergeometric(256, 206, 255, 205) = %0.8f\n", p_hypergeometric(256, 206, 255, 205));
+       // printf("p_hypergeometric(256, 156, 1, 1) = %0.8f\n", p_hypergeometric(256, 156, 1, 1));
+       // printf("p_hypergeometric(256, 156, 1, 0) = %0.8f\n", p_hypergeometric(256, 156, 1, 0));
+       // 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);
+
+       
+       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("[%3d]:%c%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++) {
+               uint8_t best_byte = best_first_bytes[i];
+               uint16_t best_num = nonces[best_byte].num;
+               uint16_t best_sum = nonces[best_byte].Sum;
+               uint16_t best_sum8 = nonces[best_byte].Sum8_guess;
+               float confidence = nonces[best_byte].Sum8_prob;
+               printf("Byte: %02x, n = %2d, k = %2d, Sum(a8): %3d, Confidence: %2.1f%%\n", best_byte, best_num, best_sum, best_sum8, confidence*100);
+       }
+}
+
+
+static void sort_best_first_bytes(void)
+{
+       // find the best choice for the very first byte (b)
+       float min_p_K = 1.0;
+       float max_prob_min_p_K = 0.0;
+       uint8_t best_byte = 0;
+       for (uint16_t i = 0; i < 256; i++ ) {
+               float prob1 = nonces[i].Sum8_prob;
+               uint16_t sum8 = nonces[i].Sum8_guess;
+               if (p_K[sum8] <= min_p_K && prob1 > CONFIDENCE_THRESHOLD) {
+                       if (p_K[sum8] < min_p_K) {
+                               min_p_K = p_K[sum8];
+                               best_byte = i;
+                               max_prob_min_p_K = prob1;
+                       } else if (prob1 > max_prob_min_p_K) {
+                               max_prob_min_p_K = prob1;
+                               best_byte = i;
+                       }
+               }
+       }
+       best_first_bytes[0] = best_byte;
+       // printf("Best Byte = 0x%02x, Sum8=%d, prob=%1.3f\n", best_byte, nonces[best_byte].Sum8_guess, nonces[best_byte].Sum8_prob);
+               
+       // sort the most probable guesses as following bytes (b')       
+       for (uint16_t i = 0; i < 256; i++ ) {
+               if (i == best_first_bytes[0]) {
+                       continue;
+               }
+               uint16_t j = 1;
+               float prob1 = nonces[i].Sum8_prob;
+               float prob2 = nonces[best_first_bytes[1]].Sum8_prob;
+               while (prob1 < prob2 && j < MAX_BEST_BYTES-1) {
+                       prob2 = nonces[best_first_bytes[++j]].Sum8_prob;
+               }
+               if (prob1 >= prob2) {
+                       for (uint16_t k = MAX_BEST_BYTES-1; k > j; k--) {
+                               best_first_bytes[k] = best_first_bytes[k-1];
+                       }
+                       best_first_bytes[j] = i;
+               }
+       }
+}
+
+
+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;
+               uint16_t Sum8 = 0;
+               if (nonces[first_byte].updated) {
+                       for (uint16_t sum = 0; sum <= 256; sum++) {
+                               float prob = sum_probability(sum, nonces[first_byte].num, nonces[first_byte].Sum);
+                               if (prob > Sum8_prob) {
+                                       Sum8_prob = prob;
+                                       Sum8 = sum;
+                               }
+                       }
+                       nonces[first_byte].Sum8_guess = Sum8;
+                       nonces[first_byte].Sum8_prob = Sum8_prob;
+                       nonces[first_byte].updated = false;
+               }
+       }
+       
+       sort_best_first_bytes();
+
+       uint16_t num_good_nonces = 0;
+       for (uint16_t i = 0; i < MAX_BEST_BYTES; i++) {
+               if (nonces[best_first_bytes[i]].Sum8_prob > CONFIDENCE_THRESHOLD) {
+                       ++num_good_nonces;
+               }
+       }
+       
+       return num_good_nonces;
+}      
+
+
+static int read_nonce_file(void)
+{
+       FILE *fnonces = NULL;
+       uint8_t trgBlockNo;
+       uint8_t trgKeyType;
+       uint8_t read_buf[9];
+       uint32_t nt_enc1, nt_enc2;
+       uint8_t par_enc;
+       int total_num_nonces = 0;
+       
+       if ((fnonces = fopen("nonces.bin","rb")) == NULL) { 
+               PrintAndLog("Could not open file nonces.bin");
+               return 1;
+       }
+
+       PrintAndLog("Reading nonces from file nonces.bin...");
+       if (fread(read_buf, 1, 6, fnonces) == 0) {
+               PrintAndLog("File reading error.");
+               fclose(fnonces);
+               return 1;
+       }
+       cuid = bytes_to_num(read_buf, 4);
+       trgBlockNo = bytes_to_num(read_buf+4, 1);
+       trgKeyType = bytes_to_num(read_buf+5, 1);
+
+       while (fread(read_buf, 1, 9, fnonces) == 9) {
+               nt_enc1 = bytes_to_num(read_buf, 4);
+               nt_enc2 = bytes_to_num(read_buf+4, 4);
+               par_enc = bytes_to_num(read_buf+8, 1);
+               //printf("Encrypted nonce: %08x, encrypted_parity: %02x\n", nt_enc1, par_enc >> 4);
+               //printf("Encrypted nonce: %08x, encrypted_parity: %02x\n", nt_enc2, par_enc & 0x0f);
+               add_nonce(nt_enc1, par_enc >> 4);
+               add_nonce(nt_enc2, par_enc & 0x0f);
+               total_num_nonces += 2;
+       }
+       fclose(fnonces);
+       PrintAndLog("Read %d nonces from file. cuid=%08x, Block=%d, Keytype=%c", total_num_nonces, cuid, trgBlockNo, trgKeyType==0?'A':'B');
+
+       return 0;
+}
+
+
+int static acquire_nonces(uint8_t blockNo, uint8_t keyType, uint8_t *key, uint8_t trgBlockNo, uint8_t trgKeyType, bool nonce_file_write, bool slow)
+{
+       clock_t time1 = clock();
+       bool initialize = true;
+       bool field_off = false;
+       bool finished = false;
+       uint32_t flags = 0;
+       uint8_t write_buf[9];
+       uint32_t total_num_nonces = 0;
+       uint32_t next_fivehundred = 500;
+       uint32_t total_added_nonces = 0;
+       FILE *fnonces = NULL;
+       UsbCommand resp;
+
+       printf("Acquiring nonces...\n");
+       
+       clearCommandBuffer();
+
+       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);
+
+               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
+
+                       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");
+                                       return 3;
+                               }
+                               PrintAndLog("Writing acquired nonces to binary file nonces.bin");
+                               num_to_bytes(cuid, 4, write_buf);
+                               fwrite(write_buf, 1, 4, fnonces);
+                               fwrite(&trgBlockNo, 1, 1, fnonces);
+                               fwrite(&trgKeyType, 1, 1, fnonces);
+                       }
+               }
+
+               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) {
+                                       fwrite(bufp, 1, 9, fnonces);
+                               }
+                               
+                               bufp += 9;
+                       }
+
+                       total_num_nonces += num_acquired_nonces;
+               }
+               
+               if (first_byte_num == 256 ) {
+                       // printf("first_byte_num = %d, first_byte_Sum = %d\n", first_byte_num, first_byte_Sum);
+                       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);
+                       }
+                       if (num_good_first_bytes >= GOOD_BYTES_REQUIRED) {
+                               field_off = true;       // switch off field with next SendCommand and then finish
+                       }
+               }
+
+               if (!initialize) {
+                       if (!WaitForResponseTimeout(CMD_ACK, &resp, 3000)) return 1;
+                       if (resp.arg[0]) return resp.arg[0];  // error during nested_hard
+               }
+
+               initialize = false;
+
+       } while (!finished);
+
+       
+       if (nonce_file_write) {
+               fclose(fnonces);
+       }
+       
+       PrintAndLog("Acquired a total of %d nonces in %1.1f seconds (%d nonces/minute)", 
+               total_num_nonces, 
+               ((float)clock()-time1)/CLOCKS_PER_SEC, 
+               total_num_nonces*60*CLOCKS_PER_SEC/(clock()-time1));
+       
+       return 0;
+}
+
+
+static int init_partial_statelists(void)
+{
+       const uint32_t sizes_odd[17] = { 125601, 0, 17607, 0, 73421, 0, 182033, 0, 248801, 0, 181737, 0, 74241, 0, 18387, 0, 126757 };
+       const uint32_t sizes_even[17] = { 125723, 0, 17867, 0, 74305, 0, 178707, 0, 248801, 0, 185063, 0, 73356, 0, 18127, 0, 126634 };
+       
+       printf("Allocating memory for partial statelists...\n");
+       for (odd_even_t odd_even = EVEN_STATE; odd_even <= ODD_STATE; odd_even++) {
+               for (uint16_t i = 0; i <= 16; i+=2) {
+                       partial_statelist[i].len[odd_even] = 0;
+                       uint32_t num_of_states = odd_even == ODD_STATE ? sizes_odd[i] : sizes_even[i];
+                       partial_statelist[i].states[odd_even] = malloc(sizeof(uint32_t) * num_of_states);  
+                       if (partial_statelist[i].states[odd_even] == NULL) {
+                               PrintAndLog("Cannot allocate enough memory. Aborting");
+                               return 4;
+                       }
+                       for (uint32_t j = 0; j < STATELIST_INDEX_SIZE; j++) {
+                               partial_statelist[i].index[odd_even][j] = NULL;
+                       }
+               }
+       }
+               
+       printf("Generating partial statelists...\n");
+       for (odd_even_t odd_even = EVEN_STATE; odd_even <= ODD_STATE; odd_even++) {
+               uint32_t index = -1;
+               uint32_t num_of_states = 1<<20;
+               for (uint32_t state = 0; state < num_of_states; state++) {
+                       uint16_t sum_property = PartialSumProperty(state, odd_even);
+                       uint32_t *p = partial_statelist[sum_property].states[odd_even];
+                       p += partial_statelist[sum_property].len[odd_even];
+                       *p = state;
+                       partial_statelist[sum_property].len[odd_even]++;
+                       uint32_t index_mask = (STATELIST_INDEX_SIZE-1) << (20-STATELIST_INDEX_WIDTH);
+                       if ((state & index_mask) != index) {
+                               index = state & index_mask;
+                       }
+                       if (partial_statelist[sum_property].index[odd_even][index >> (20-STATELIST_INDEX_WIDTH)] == NULL) {
+                               partial_statelist[sum_property].index[odd_even][index >> (20-STATELIST_INDEX_WIDTH)] = p;
+                       }
+               }
+               // add End Of List markers
+               for (uint16_t i = 0; i <= 16; i += 2) {
+                       uint32_t *p = partial_statelist[i].states[odd_even];
+                       p += partial_statelist[i].len[odd_even];
+                       *p = 0xffffffff;
+               }
+       }
+       
+       return 0;
+}      
+               
+
+static void init_BitFlip_statelist(void)
+{
+       printf("Generating bitflip statelist...\n");
+       uint32_t *p = statelist_bitflip.states[0] = malloc(sizeof(uint32_t) * 1<<20);
+       uint32_t index = -1;
+       uint32_t index_mask = (STATELIST_INDEX_SIZE-1) << (20-STATELIST_INDEX_WIDTH);
+       for (uint32_t state = 0; state < (1 << 20); state++) {
+               if (filter(state) != filter(state^1)) {
+                       if ((state & index_mask) != index) {
+                               index = state & index_mask;
+                       }
+                       if (statelist_bitflip.index[0][index >> (20-STATELIST_INDEX_WIDTH)] == NULL) {
+                               statelist_bitflip.index[0][index >> (20-STATELIST_INDEX_WIDTH)] = p;
+                       }
+                       *p++ = state;
+               }
+       }
+       // set len and add End Of List marker
+       statelist_bitflip.len[0] = p - statelist_bitflip.states[0];
+       *p = 0xffffffff;
+       statelist_bitflip.states[0] = realloc(statelist_bitflip.states[0], sizeof(uint32_t) * (statelist_bitflip.len[0] + 1));
+}
+
+               
+static void add_state(statelist_t *sl, uint32_t state, odd_even_t odd_even)
+{
+       uint32_t *p;
+
+       p = sl->states[odd_even];
+       p += sl->len[odd_even];
+       *p = state;
+       sl->len[odd_even]++;
+}
+
+
+uint32_t *find_first_state(uint32_t state, uint32_t mask, partial_indexed_statelist_t *sl, odd_even_t odd_even)
+{
+       uint32_t *p = sl->index[odd_even][(state & mask) >> (20-STATELIST_INDEX_WIDTH)];                // first Bits as index
+
+       if (p == NULL) return NULL;
+       while ((*p & mask) < (state & mask)) p++;
+       if (*p == 0xffffffff) return NULL;                                      // reached end of list, no match
+       if ((*p & mask) == (state & mask)) return p;            // found a match.
+       return NULL;                                                                            // no match
+} 
+
+
+static bool remaining_bits_match(uint8_t num_common_bits, uint8_t byte1, uint8_t byte2, uint32_t state1, uint32_t state2, odd_even_t odd_even)
+{
+       uint8_t j = num_common_bits;
+       if (odd_even == ODD_STATE) {
+               j |= 0x01;                      // consider the next odd bit
+       } else {
+               j = (j+1) & 0xfe;       // consider the next even bit
+       }
+               
+       while (j <= 7) {
+               if (j != num_common_bits) {                     // this is not the first differing bit, we need first to check if the invariant still holds
+                       uint32_t bit_diff = ((byte1 ^ byte2) << (17-j)) & 0x00010000;                                   // difference of (j-1)th bit -> bit 16
+                       uint32_t filter_diff = filter(state1 >> (4-j/2)) ^ filter(state2 >> (4-j/2));   // difference in filter function -> bit 0
+                       uint32_t mask_y12_y13 = 0x000000c0 >> (j/2);
+                       uint32_t state_diff = (state1 ^ state2) & mask_y12_y13;                                                 // difference in state bits 12 and 13 -> bits 6/7 ... 4/5
+                       uint32_t all_diff = parity(bit_diff | state_diff | filter_diff);                                // use parity function to XOR all 4 bits
+                       if (all_diff) {                 // invariant doesn't hold any more. Accept this state.
+                               // if ((odd_even == ODD_STATE && state1 == test_state_odd)
+                                       // || (odd_even == EVEN_STATE && state1 == test_state_even)) {
+                                       // printf("remaining_bits_match(): %s test state: Invariant doesn't hold. Bytes = %02x, %02x, Common Bits=%d, Testing Bit %d, State1=0x%08x, State2=0x%08x\n", 
+                                               // odd_even==ODD_STATE?"odd":"even", byte1, byte2, num_common_bits, j, state1, state2);
+                               // }
+                               return true;
+                       }
+               }
+               // check for validity of state candidate
+               uint32_t bit_diff = ((byte1 ^ byte2) << (16-j)) & 0x00010000;                                           // difference of jth bit -> bit 16
+               uint32_t mask_y13_y16 = 0x00000048 >> (j/2);
+               uint32_t state_diff = (state1 ^ state2) & mask_y13_y16;                                                         // difference in state bits 13 and 16 -> bits 3/6 ... 0/3
+               uint32_t all_diff = parity(bit_diff | state_diff);                                                                      // use parity function to XOR all 3 bits
+               if (all_diff) {                         // not a valid state
+                       // if ((odd_even == ODD_STATE && state1 == test_state_odd)
+                               // || (odd_even == EVEN_STATE && state1 == test_state_even)) {
+                               // printf("remaining_bits_match(): %s test state: Invalid state. Bytes = %02x, %02x, Common Bits=%d, Testing Bit %d, State1=0x%08x, State2=0x%08x\n", 
+                                       // odd_even==ODD_STATE?"odd":"even", byte1, byte2, num_common_bits, j, state1, state2);
+                               // printf("                        byte1^byte2: 0x%02x, bit_diff: 0x%08x, state_diff: 0x%08x, all_diff: 0x%08x\n", 
+                                       // byte1^byte2, bit_diff, state_diff, all_diff);
+                       // }
+                       return false;
+               }
+               // continue checking for the next bit
+               j += 2;
+       } 
+       
+       return true;                                    // valid state
+}
+
+
+static bool all_other_first_bytes_match(uint32_t state, odd_even_t odd_even) 
+{
+       for (uint16_t i = 1; i < num_good_first_bytes; i++) {
+               uint16_t sum_a8 = nonces[best_first_bytes[i]].Sum8_guess;
+               uint8_t j = 0; // number of common bits
+               uint8_t common_bits = best_first_bytes[0] ^ best_first_bytes[i];
+               uint32_t mask = 0xfffffff0;
+               if (odd_even == ODD_STATE) {
+                       while ((common_bits & 0x01) == 0 && j < 8) {
+                               j++;
+                               common_bits >>= 1;
+                               if (j % 2 == 0) {               // the odd bits
+                                       mask >>= 1;
+                               }
+                       }
+               } else {
+                       while ((common_bits & 0x01) == 0 && j < 8) {
+                               j++;
+                               common_bits >>= 1;
+                               if (j % 2 == 1) {               // the even bits
+                                       mask >>= 1;
+                               }
+                       }
+               }
+               mask &= 0x000fffff;
+               //printf("bytes 0x%02x and 0x%02x: %d common bits, mask = 0x%08x, state = 0x%08x, sum_a8 = %d", best_first_bytes[0], best_first_bytes[i], j, mask, state, sum_a8);
+               bool found_match = false;
+               for (uint16_t r = 0; r <= 16 && !found_match; r += 2) {
+                       for (uint16_t s = 0; s <= 16 && !found_match; s += 2) {
+                               if (r*(16-s) + (16-r)*s == sum_a8) {
+                                       //printf("Checking byte 0x%02x for partial sum (%s) %d\n", best_first_bytes[i], odd_even==ODD_STATE?"odd":"even", odd_even==ODD_STATE?r:s);
+                                       uint16_t part_sum_a8 = (odd_even == ODD_STATE) ? r : s;
+                                       uint32_t *p = find_first_state(state, mask, &partial_statelist[part_sum_a8], odd_even);
+                                       if (p != NULL) {
+                                               while ((state & mask) == (*p & mask) && (*p != 0xffffffff)) {
+                                                       if (remaining_bits_match(j, best_first_bytes[0], best_first_bytes[i], state, (state&0x00fffff0) | *p, odd_even)) {
+                                                               found_match = true;
+                                                               // if ((odd_even == ODD_STATE && state == test_state_odd)
+                                                                       // || (odd_even == EVEN_STATE && state == test_state_even)) {
+                                                                       // printf("all_other_first_bytes_match(): %s test state: remaining bits matched. Bytes = %02x, %02x, Common Bits=%d, mask=0x%08x, PartSum(a8)=%d\n", 
+                                                                               // odd_even==ODD_STATE?"odd":"even", best_first_bytes[0], best_first_bytes[i], j, mask, part_sum_a8);
+                                                               // }
+                                                               break;
+                                                       } else {
+                                                               // if ((odd_even == ODD_STATE && state == test_state_odd)
+                                                                       // || (odd_even == EVEN_STATE && state == test_state_even)) {
+                                                                       // printf("all_other_first_bytes_match(): %s test state: remaining bits didn't match. Bytes = %02x, %02x, Common Bits=%d, mask=0x%08x, PartSum(a8)=%d\n", 
+                                                                               // odd_even==ODD_STATE?"odd":"even", best_first_bytes[0], best_first_bytes[i], j, mask, part_sum_a8);
+                                                               // }
+                                                       }
+                                                       p++;
+                                               }       
+                                       } else {
+                                               // if ((odd_even == ODD_STATE && state == test_state_odd)
+                                                       // || (odd_even == EVEN_STATE && state == test_state_even)) {
+                                                       // printf("all_other_first_bytes_match(): %s test state: couldn't find a matching state. Bytes = %02x, %02x, Common Bits=%d, mask=0x%08x, PartSum(a8)=%d\n", 
+                                                               // odd_even==ODD_STATE?"odd":"even", best_first_bytes[0], best_first_bytes[i], j, mask, part_sum_a8);
+                                               // }
+                                       }               
+                               }
+                       }
+               }
+
+               if (!found_match) {
+                       // if ((odd_even == ODD_STATE && state == test_state_odd)
+                               // || (odd_even == EVEN_STATE && state == test_state_even)) {
+                               // printf("all_other_first_bytes_match(): %s test state: Eliminated. Bytes = %02x, %02x, Common Bits = %d\n", odd_even==ODD_STATE?"odd":"even", best_first_bytes[0], best_first_bytes[i], j);
+                       // }
+                       return false;
+               }
+       }       
+
+       return true;
+}
+
+
+static int add_matching_states(statelist_t *candidates, uint16_t part_sum_a0, uint16_t part_sum_a8, odd_even_t odd_even)
+{
+       uint32_t worstcase_size = 1<<20;
+       
+       candidates->states[odd_even] = (uint32_t *)malloc(sizeof(uint32_t) * worstcase_size);
+       if (candidates->states[odd_even] == NULL) {
+               PrintAndLog("Out of memory error.\n");
+               return 4;
+       }
+       for (uint32_t *p1 = partial_statelist[part_sum_a0].states[odd_even]; *p1 != 0xffffffff; p1++) {
+               uint32_t search_mask = 0x000ffff0;
+               uint32_t *p2 = find_first_state((*p1 << 4), search_mask, &partial_statelist[part_sum_a8], odd_even);
+               if (p2 != NULL) {
+                       while (((*p1 << 4) & search_mask) == (*p2 & search_mask) && *p2 != 0xffffffff) {
+                               if (all_other_first_bytes_match((*p1 << 4) | *p2, odd_even)) {
+                                       add_state(candidates, (*p1 << 4) | *p2, odd_even);
+                               }
+                               p2++;
+                       }
+               }
+               p2 = candidates->states[odd_even];
+               p2 += candidates->len[odd_even];
+               *p2 = 0xffffffff;
+       }
+       candidates->states[odd_even] = realloc(candidates->states[odd_even], sizeof(uint32_t) * (candidates->len[odd_even] + 1));
+
+       return 0;
+}
+
+
+static statelist_t *add_more_candidates(statelist_t *current_candidates)
+{
+       statelist_t *new_candidates = NULL;
+       if (current_candidates == NULL) {
+               if (candidates == NULL) {
+                       candidates = (statelist_t *)malloc(sizeof(statelist_t));
+               }
+               new_candidates = candidates;
+       } else {
+               new_candidates = current_candidates->next = (statelist_t *)malloc(sizeof(statelist_t));
+       }
+       new_candidates->next = NULL;
+       new_candidates->len[ODD_STATE] = 0;
+       new_candidates->len[EVEN_STATE] = 0;
+       new_candidates->states[ODD_STATE] = NULL;
+       new_candidates->states[EVEN_STATE] = NULL;
+       return new_candidates;
+}
+
+
+static void TestIfKeyExists(uint64_t key)
+{
+       struct Crypto1State *pcs;
+       pcs = crypto1_create(key);
+       crypto1_byte(pcs, (cuid >> 24) ^ best_first_bytes[0], true);
+
+       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);
+       
+       for (statelist_t *p = candidates; p != NULL; p = p->next) {
+               uint32_t *p_odd = p->states[ODD_STATE];
+               uint32_t *p_even = p->states[EVEN_STATE];
+               while (*p_odd != 0xffffffff) {
+                       if (*p_odd == state_odd) printf("o");
+                       p_odd++;
+               }
+               while (*p_even != 0xffffffff) {
+                       if (*p_even == state_even) printf("e");
+                       p_even++;
+               }
+               printf("|");
+       }
+       printf("\n");
+       crypto1_destroy(pcs);
+}
+
+       
+static void generate_candidates(uint16_t sum_a0, uint16_t sum_a8)
+{
+       printf("Generating crypto1 state candidates... \n");
+       
+       statelist_t *current_candidates = NULL;
+       // estimate maximum candidate states
+       uint64_t maximum_states = 0;
+       for (uint16_t sum_odd = 0; sum_odd <= 16; sum_odd += 2) {
+               for (uint16_t sum_even = 0; sum_even <= 16; sum_even += 2) {
+                       if (sum_odd*(16-sum_even) + (16-sum_odd)*sum_even == sum_a0) {
+                               maximum_states += (uint64_t)partial_statelist[sum_odd].len[ODD_STATE] * partial_statelist[sum_even].len[EVEN_STATE] * (1<<8);
+                       }
+               }
+       }
+       printf("Number of possible keys with Sum(a0) = %d: %lld (2^%1.1f)\n", sum_a0, maximum_states, log(maximum_states)/log(2.0));
+       
+       for (uint16_t p = 0; p <= 16; p += 2) {
+               for (uint16_t q = 0; q <= 16; q += 2) {
+                       if (p*(16-q) + (16-p)*q == sum_a0) {
+                               printf("Reducing Partial Statelists (p,q) = (%d,%d) with lengths %d, %d\n", 
+                                               p, q, partial_statelist[p].len[ODD_STATE], partial_statelist[q].len[EVEN_STATE]);
+                               for (uint16_t r = 0; r <= 16; r += 2) {
+                                       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);
+                                                       add_matching_states(current_candidates, p, r, ODD_STATE);
+                                                       printf("Odd state candidates: %d (2^%0.1f)\n", current_candidates->len[ODD_STATE], log(current_candidates->len[ODD_STATE])/log(2)); 
+                                                       add_matching_states(current_candidates, q, s, EVEN_STATE);
+                                                       printf("Even state candidates: %d (2^%0.1f)\n", current_candidates->len[EVEN_STATE], log(current_candidates->len[EVEN_STATE])/log(2)); 
+                                               }
+                                       }
+                               }
+                       }
+               }
+       }                                       
+
+       
+       maximum_states = 0;
+       for (statelist_t *sl = candidates; sl != NULL; sl = sl->next) {
+               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));
+
+       TestIfKeyExists(0xffffffffffff);
+       TestIfKeyExists(0xa0a1a2a3a4a5);
+       
+}
+
+
+static void Check_for_FilterFlipProperties(void)
+{
+       printf("Checking for Filter Flip Properties...\n");
+
+       for (uint16_t i = 0; i < 256; i++) {
+               nonces[i].BitFlip[ODD_STATE] = false;
+               nonces[i].BitFlip[EVEN_STATE] = false;
+       }
+       
+       for (uint16_t i = 0; i < 256; i++) {
+               uint8_t parity1 = (nonces[i].first->par_enc) >> 3;                              // parity of first byte
+               uint8_t parity2_odd = (nonces[i^0x80].first->par_enc) >> 3;     // XOR 0x80 = last bit flipped
+               uint8_t parity2_even = (nonces[i^0x40].first->par_enc) >> 3;    // XOR 0x40 = second last bit flipped
+               
+               if (parity1 == parity2_odd) {                           // has Bit Flip Property for odd bits
+                       nonces[i].BitFlip[ODD_STATE] = true;
+               } else if (parity1 == parity2_even) {           // has Bit Flip Property for even bits
+                       nonces[i].BitFlip[EVEN_STATE] = true;
+               }
+       }
+}
+
+
+int mfnestedhard(uint8_t blockNo, uint8_t keyType, uint8_t *key, uint8_t trgBlockNo, uint8_t trgKeyType, bool nonce_file_read, bool nonce_file_write, bool slow) 
+{
+       
+       // 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();
+       
+       if (nonce_file_read) {          // use pre-acquired data from file nonces.bin
+               if (read_nonce_file() != 0) {
+                       return 3;
+               }
+               num_good_first_bytes = estimate_second_byte_sum();
+       } else {                                        // acquire nonces.
+               uint16_t is_OK = acquire_nonces(blockNo, keyType, key, trgBlockNo, trgKeyType, nonce_file_write, slow);
+               if (is_OK != 0) {
+                       return is_OK;
+               }
+       }
+
+       Check_for_FilterFlipProperties();
+
+       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]  );
+       PrintAndLog("Number of first bytes with confidence > %2.1f%%: %d", CONFIDENCE_THRESHOLD*100.0, num_good_first_bytes);
+
+       generate_candidates(first_byte_Sum, nonces[best_first_bytes[0]].Sum8_guess);
+       
+       PrintAndLog("Brute force phase not yet implemented");
+       
+       return 0;
+}
+
+
diff --git a/client/cmdhfmfhard.h b/client/cmdhfmfhard.h
new file mode 100644 (file)
index 0000000..94c5771
--- /dev/null
@@ -0,0 +1,11 @@
+//-----------------------------------------------------------------------------
+// Copyright (C) 2015 piwi
+//
+// 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.
+//-----------------------------------------------------------------------------
+// hf mf hardnested command
+//-----------------------------------------------------------------------------
+
+int mfnestedhard(uint8_t blockNo, uint8_t keyType, uint8_t * key, uint8_t trgBlockNo, uint8_t trgKeyType, bool nonce_file_read, bool nonce_file_write, bool slow);
index 61b7047df83116e4534861cbe81f83959c964aad..f3c754ff5c3a7128889a24fe360a8625c1ba7373 100644 (file)
@@ -173,7 +173,7 @@ int CmdEM410xWrite(const char *Cmd)
 {
        uint64_t id = 0xFFFFFFFFFFFFFFFF; // invalid id value
        int card = 0xFF; // invalid card value
-       unsigned int clock = 0; // invalid clock value
+       uint32_t clock = 0; // invalid clock value
 
        sscanf(Cmd, "%" PRIx64 " %d %d", &id, &card, &clock);
 
@@ -199,8 +199,8 @@ int CmdEM410xWrite(const char *Cmd)
 
        // Check Clock
                // Default: 64
-               if (clock == 0)
-                       clock = 64;
+       if (clock == 0)
+               clock = 64;
 
        // Allowed clock rates: 16, 32, 40 and 64
        if ((clock != 16) && (clock != 32) && (clock != 64) && (clock != 40)) {
@@ -225,7 +225,6 @@ int CmdEM410xWrite(const char *Cmd)
 
        UsbCommand c = {CMD_EM410X_WRITE_TAG, {card, (uint32_t)(id >> 32), (uint32_t)id}};
        SendCommand(&c);
-
        return 0;
 }
 
index ee8abaddcf65fbebcc559a65542411d08b522f28..9f561e6b81c3f77305265af857df87f4528ab4ce 100644 (file)
@@ -7,24 +7,15 @@
 // ATA55xx shared presets & routines
 uint32_t GetT55xxClockBit(uint32_t clock) {
        switch (clock) {
-               case 128:
-                       return T55x7_BITRATE_RF_128;
-               case 100:
-                       return T55x7_BITRATE_RF_100;
-               case 64:
-                       return T55x7_BITRATE_RF_64;
-               case 50:
-                       return T55x7_BITRATE_RF_50;
-               case 40:
-                       return T55x7_BITRATE_RF_40;
-               case 32:
-                       return T55x7_BITRATE_RF_32;
-               case 16:
-                       return T55x7_BITRATE_RF_16;
-               case 8:
-                       return T55x7_BITRATE_RF_8;
-               default:
-                       return 0;
+               case 128: return T55x7_BITRATE_RF_128;
+               case 100: return T55x7_BITRATE_RF_100;
+               case  64: return T55x7_BITRATE_RF_64;
+               case  50: return T55x7_BITRATE_RF_50;
+               case  40: return T55x7_BITRATE_RF_40;
+               case  32: return T55x7_BITRATE_RF_32;
+               case  16: return T55x7_BITRATE_RF_16;
+               case   8: return T55x7_BITRATE_RF_8;
+               default : return 0;
        }
 }
 
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