Foundation, Inc., 51 Franklin Street, Fifth Floor,\r
Boston, MA 02110-1301, US$\r
\r
- Copyright (C) 2008-2008 bla <blapost@gmail.com>\r
+ Copyright (C) 2008-2014 bla <blapost@gmail.com>\r
*/\r
#include "crapto1.h"\r
#include <stdlib.h>\r
static uint8_t filterlut[1 << 20];\r
static void __attribute__((constructor)) fill_lut()\r
{\r
- uint32_t i;\r
- for(i = 0; i < 1 << 20; ++i)\r
- filterlut[i] = filter(i);\r
+ uint32_t i;\r
+ for(i = 0; i < 1 << 20; ++i)\r
+ filterlut[i] = filter(i);\r
}\r
#define filter(x) (filterlut[(x) & 0xfffff])\r
#endif\r
\r
-static void quicksort(uint32_t* const start, uint32_t* const stop)\r
-{\r
- uint32_t *it = start + 1, *rit = stop;\r
-\r
- if(it > rit)\r
- return;\r
-\r
- while(it < rit)\r
- if(*it <= *start)\r
- ++it;\r
- else if(*rit > *start)\r
- --rit;\r
- else\r
- *it ^= (*it ^= *rit, *rit ^= *it);\r
-\r
- if(*rit >= *start)\r
- --rit;\r
- if(rit != start)\r
- *rit ^= (*rit ^= *start, *start ^= *rit);\r
-\r
- quicksort(start, rit - 1);\r
- quicksort(rit + 1, stop);\r
-}\r
-/** binsearch\r
- * Binary search for the first occurence of *stop's MSB in sorted [start,stop]\r
- */\r
-static inline uint32_t*\r
-binsearch(uint32_t *start, uint32_t *stop)\r
-{\r
- uint32_t mid, val = *stop & 0xff000000;\r
- while(start != stop)\r
- if(start[mid = (stop - start) >> 1] > val)\r
- stop = &start[mid];\r
- else\r
- start += mid + 1;\r
-\r
- return start;\r
-}\r
-\r
/** update_contribution\r
* helper, calculates the partial linear feedback contributions and puts in MSB\r
*/\r
-static inline void\r
-update_contribution(uint32_t *item, const uint32_t mask1, const uint32_t mask2)\r
+static inline void update_contribution(uint32_t *item, const uint32_t mask1, const uint32_t mask2)\r
{\r
uint32_t p = *item >> 25;\r
\r
/** extend_table\r
* using a bit of the keystream extend the table of possible lfsr states\r
*/\r
-static inline void\r
-extend_table(uint32_t *tbl, uint32_t **end, int bit, int m1, int m2, uint32_t in)\r
+static inline void extend_table(uint32_t *tbl, uint32_t **end, int bit, int m1, int m2, uint32_t in)\r
{\r
in <<= 24;\r
for(*tbl <<= 1; tbl <= *end; *++tbl <<= 1)\r
/** extend_table_simple\r
* using a bit of the keystream extend the table of possible lfsr states\r
*/\r
-static inline void\r
-extend_table_simple(uint32_t *tbl, uint32_t **end, int bit)\r
+static inline void extend_table_simple(uint32_t *tbl, uint32_t **end, int bit)\r
{\r
- for(*tbl <<= 1; tbl <= *end; *++tbl <<= 1)\r
- if(filter(*tbl) ^ filter(*tbl | 1)) {\r
+ for(*tbl <<= 1; tbl <= *end; *++tbl <<= 1) {\r
+ if(filter(*tbl) ^ filter(*tbl | 1)) { // replace\r
*tbl |= filter(*tbl) ^ bit;\r
- } else if(filter(*tbl) == bit) {\r
+ } else if(filter(*tbl) == bit) { // insert\r
*++*end = *++tbl;\r
*tbl = tbl[-1] | 1;\r
- } else\r
+ } else { // drop\r
*tbl-- = *(*end)--;\r
+ }\r
+ }\r
}\r
/** recover\r
* recursively narrow down the search space, 4 bits of keystream at a time\r
static struct Crypto1State*\r
recover(uint32_t *o_head, uint32_t *o_tail, uint32_t oks,\r
uint32_t *e_head, uint32_t *e_tail, uint32_t eks, int rem,\r
- struct Crypto1State *sl, uint32_t in)\r
+ struct Crypto1State *sl, uint32_t in, bucket_array_t bucket)\r
{\r
- uint32_t *o, *e, i;\r
+ uint32_t *o, *e;\r
+ bucket_info_t bucket_info;\r
\r
if(rem == -1) {\r
for(e = e_head; e <= e_tail; ++e) {\r
return sl;\r
}\r
\r
- for(i = 0; i < 4 && rem--; i++) {\r
- extend_table(o_head, &o_tail, (oks >>= 1) & 1,\r
- LF_POLY_EVEN << 1 | 1, LF_POLY_ODD << 1, 0);\r
+ for(uint32_t i = 0; i < 4 && rem--; i++) {\r
+ oks >>= 1;\r
+ eks >>= 1;\r
+ in >>= 2;\r
+ extend_table(o_head, &o_tail, oks & 1, LF_POLY_EVEN << 1 | 1, LF_POLY_ODD << 1, 0);\r
if(o_head > o_tail)\r
return sl;\r
\r
- extend_table(e_head, &e_tail, (eks >>= 1) & 1,\r
- LF_POLY_ODD, LF_POLY_EVEN << 1 | 1, (in >>= 2) & 3);\r
+ extend_table(e_head, &e_tail, eks & 1, LF_POLY_ODD, LF_POLY_EVEN << 1 | 1, in & 3);\r
if(e_head > e_tail)\r
return sl;\r
}\r
\r
- quicksort(o_head, o_tail);\r
- quicksort(e_head, e_tail);\r
+ bucket_sort_intersect(e_head, e_tail, o_head, o_tail, &bucket_info, bucket);\r
\r
- while(o_tail >= o_head && e_tail >= e_head)\r
- if(((*o_tail ^ *e_tail) >> 24) == 0) {\r
- o_tail = binsearch(o_head, o = o_tail);\r
- e_tail = binsearch(e_head, e = e_tail);\r
- sl = recover(o_tail--, o, oks,\r
- e_tail--, e, eks, rem, sl, in);\r
- }\r
- else if(*o_tail > *e_tail)\r
- o_tail = binsearch(o_head, o_tail) - 1;\r
- else\r
- e_tail = binsearch(e_head, e_tail) - 1;\r
+ for (int i = bucket_info.numbuckets - 1; i >= 0; i--) {\r
+ sl = recover(bucket_info.bucket_info[1][i].head, bucket_info.bucket_info[1][i].tail, oks,\r
+ bucket_info.bucket_info[0][i].head, bucket_info.bucket_info[0][i].tail, eks,\r
+ rem, sl, in, bucket);\r
+ }\r
\r
return sl;\r
}\r
uint32_t *even_head = 0, *even_tail = 0, eks = 0;\r
int i;\r
\r
+ // split the keystream into an odd and even part\r
for(i = 31; i >= 0; i -= 2)\r
oks = oks << 1 | BEBIT(ks2, i);\r
for(i = 30; i >= 0; i -= 2)\r
odd_head = odd_tail = malloc(sizeof(uint32_t) << 21);\r
even_head = even_tail = malloc(sizeof(uint32_t) << 21);\r
statelist = malloc(sizeof(struct Crypto1State) << 18);\r
- if(!odd_tail-- || !even_tail-- || !statelist)\r
+ if(!odd_tail-- || !even_tail-- || !statelist) {\r
+ free(statelist);\r
+ statelist = 0;\r
goto out;\r
+ }\r
\r
statelist->odd = statelist->even = 0;\r
\r
+ // allocate memory for out of place bucket_sort\r
+ bucket_array_t bucket;\r
+ \r
+ for (uint32_t i = 0; i < 2; i++) {\r
+ for (uint32_t j = 0; j <= 0xff; j++) {\r
+ bucket[i][j].head = malloc(sizeof(uint32_t)<<14);\r
+ if (!bucket[i][j].head) {\r
+ goto out;\r
+ }\r
+ }\r
+ }\r
+\r
+ // initialize statelists: add all possible states which would result into the rightmost 2 bits of the keystream\r
for(i = 1 << 20; i >= 0; --i) {\r
if(filter(i) == (oks & 1))\r
*++odd_tail = i;\r
*++even_tail = i;\r
}\r
\r
+ // extend the statelists. Look at the next 8 Bits of the keystream (4 Bit each odd and even):\r
for(i = 0; i < 4; i++) {\r
extend_table_simple(odd_head, &odd_tail, (oks >>= 1) & 1);\r
extend_table_simple(even_head, &even_tail, (eks >>= 1) & 1);\r
}\r
\r
- in = (in >> 16 & 0xff) | (in << 16) | (in & 0xff00);\r
- recover(odd_head, odd_tail, oks,\r
- even_head, even_tail, eks, 11, statelist, in << 1);\r
+ // the statelists now contain all states which could have generated the last 10 Bits of the keystream.\r
+ // 22 bits to go to recover 32 bits in total. From now on, we need to take the "in"\r
+ // parameter into account.\r
+ in = (in >> 16 & 0xff) | (in << 16) | (in & 0xff00); // Byte swapping\r
+ recover(odd_head, odd_tail, oks, even_head, even_tail, eks, 11, statelist, in << 1, bucket);\r
\r
out:\r
+ for (uint32_t i = 0; i < 2; i++)\r
+ for (uint32_t j = 0; j <= 0xff; j++)\r
+ free(bucket[i][j].head);\r
free(odd_head);\r
free(even_head);\r
return statelist;\r
}\r
\r
-static const uint32_t S1[] = { 0x62141, 0x310A0, 0x18850, 0x0C428, 0x06214,\r
+static const uint32_t S1[] = { 0x62141, 0x310A0, 0x18850, 0x0C428, 0x06214,\r
0x0310A, 0x85E30, 0xC69AD, 0x634D6, 0xB5CDE, 0xDE8DA, 0x6F46D, 0xB3C83,\r
0x59E41, 0xA8995, 0xD027F, 0x6813F, 0x3409F, 0x9E6FA};\r
static const uint32_t S2[] = { 0x3A557B00, 0x5D2ABD80, 0x2E955EC0, 0x174AAF60,\r
sl->odd = sl->even = 0;\r
\r
for(i = 30; i >= 0; i -= 2) {\r
- oks[i >> 1] = BIT(ks2, i ^ 24);\r
- oks[16 + (i >> 1)] = BIT(ks3, i ^ 24);\r
+ oks[i >> 1] = BEBIT(ks2, i);\r
+ oks[16 + (i >> 1)] = BEBIT(ks3, i);\r
}\r
for(i = 31; i >= 0; i -= 2) {\r
- eks[i >> 1] = BIT(ks2, i ^ 24);\r
- eks[16 + (i >> 1)] = BIT(ks3, i ^ 24);\r
+ eks[i >> 1] = BEBIT(ks2, i);\r
+ eks[16 + (i >> 1)] = BEBIT(ks3, i);\r
}\r
\r
for(i = 0xfffff; i >= 0; --i) {\r
/** lfsr_rollback_bit\r
* Rollback the shift register in order to get previous states\r
*/\r
-void lfsr_rollback_bit(struct Crypto1State *s, uint32_t in, int fb)\r
+uint8_t lfsr_rollback_bit(struct Crypto1State *s, uint32_t in, int fb)\r
{\r
int out;\r
+ uint8_t ret;\r
+ uint32_t t;\r
\r
s->odd &= 0xffffff;\r
- s->odd ^= (s->odd ^= s->even, s->even ^= s->odd);\r
+ t = s->odd, s->odd = s->even, s->even = t;\r
\r
out = s->even & 1;\r
out ^= LF_POLY_EVEN & (s->even >>= 1);\r
out ^= LF_POLY_ODD & s->odd;\r
out ^= !!in;\r
- out ^= filter(s->odd) & !!fb;\r
+ out ^= (ret = filter(s->odd)) & !!fb;\r
\r
s->even |= parity(out) << 23;\r
+ return ret;\r
}\r
/** lfsr_rollback_byte\r
* Rollback the shift register in order to get previous states\r
*/\r
-void lfsr_rollback_byte(struct Crypto1State *s, uint32_t in, int fb)\r
+uint8_t lfsr_rollback_byte(struct Crypto1State *s, uint32_t in, int fb)\r
{\r
- int i;\r
+ /*\r
+ int i, ret = 0;\r
for (i = 7; i >= 0; --i)\r
- lfsr_rollback_bit(s, BEBIT(in, i), fb);\r
+ ret |= lfsr_rollback_bit(s, BIT(in, i), fb) << i;\r
+*/\r
+// unfold loop 20160112\r
+ uint8_t ret = 0;\r
+ ret |= lfsr_rollback_bit(s, BIT(in, 7), fb) << 7;\r
+ ret |= lfsr_rollback_bit(s, BIT(in, 6), fb) << 6;\r
+ ret |= lfsr_rollback_bit(s, BIT(in, 5), fb) << 5;\r
+ ret |= lfsr_rollback_bit(s, BIT(in, 4), fb) << 4;\r
+ ret |= lfsr_rollback_bit(s, BIT(in, 3), fb) << 3;\r
+ ret |= lfsr_rollback_bit(s, BIT(in, 2), fb) << 2;\r
+ ret |= lfsr_rollback_bit(s, BIT(in, 1), fb) << 1;\r
+ ret |= lfsr_rollback_bit(s, BIT(in, 0), fb) << 0;\r
+ return ret;\r
}\r
/** lfsr_rollback_word\r
* Rollback the shift register in order to get previous states\r
*/\r
-void lfsr_rollback_word(struct Crypto1State *s, uint32_t in, int fb)\r
+uint32_t lfsr_rollback_word(struct Crypto1State *s, uint32_t in, int fb)\r
{\r
+ /*\r
int i;\r
+ uint32_t ret = 0;\r
for (i = 31; i >= 0; --i)\r
- lfsr_rollback_bit(s, BEBIT(in, i), fb);\r
+ ret |= lfsr_rollback_bit(s, BEBIT(in, i), fb) << (i ^ 24);\r
+*/\r
+// unfold loop 20160112\r
+ uint32_t ret = 0;\r
+ ret |= lfsr_rollback_bit(s, BEBIT(in, 31), fb) << (31 ^ 24);\r
+ ret |= lfsr_rollback_bit(s, BEBIT(in, 30), fb) << (30 ^ 24);\r
+ ret |= lfsr_rollback_bit(s, BEBIT(in, 29), fb) << (29 ^ 24);\r
+ ret |= lfsr_rollback_bit(s, BEBIT(in, 28), fb) << (28 ^ 24);\r
+ ret |= lfsr_rollback_bit(s, BEBIT(in, 27), fb) << (27 ^ 24);\r
+ ret |= lfsr_rollback_bit(s, BEBIT(in, 26), fb) << (26 ^ 24);\r
+ ret |= lfsr_rollback_bit(s, BEBIT(in, 25), fb) << (25 ^ 24);\r
+ ret |= lfsr_rollback_bit(s, BEBIT(in, 24), fb) << (24 ^ 24);\r
+\r
+ ret |= lfsr_rollback_bit(s, BEBIT(in, 23), fb) << (23 ^ 24);\r
+ ret |= lfsr_rollback_bit(s, BEBIT(in, 22), fb) << (22 ^ 24);\r
+ ret |= lfsr_rollback_bit(s, BEBIT(in, 21), fb) << (21 ^ 24);\r
+ ret |= lfsr_rollback_bit(s, BEBIT(in, 20), fb) << (20 ^ 24);\r
+ ret |= lfsr_rollback_bit(s, BEBIT(in, 19), fb) << (19 ^ 24);\r
+ ret |= lfsr_rollback_bit(s, BEBIT(in, 18), fb) << (18 ^ 24);\r
+ ret |= lfsr_rollback_bit(s, BEBIT(in, 17), fb) << (17 ^ 24);\r
+ ret |= lfsr_rollback_bit(s, BEBIT(in, 16), fb) << (16 ^ 24);\r
+ \r
+ ret |= lfsr_rollback_bit(s, BEBIT(in, 15), fb) << (15 ^ 24);\r
+ ret |= lfsr_rollback_bit(s, BEBIT(in, 14), fb) << (14 ^ 24);\r
+ ret |= lfsr_rollback_bit(s, BEBIT(in, 13), fb) << (13 ^ 24);\r
+ ret |= lfsr_rollback_bit(s, BEBIT(in, 12), fb) << (12 ^ 24);\r
+ ret |= lfsr_rollback_bit(s, BEBIT(in, 11), fb) << (11 ^ 24);\r
+ ret |= lfsr_rollback_bit(s, BEBIT(in, 10), fb) << (10 ^ 24);\r
+ ret |= lfsr_rollback_bit(s, BEBIT(in, 9), fb) << (9 ^ 24);\r
+ ret |= lfsr_rollback_bit(s, BEBIT(in, 8), fb) << (8 ^ 24);\r
+ \r
+ ret |= lfsr_rollback_bit(s, BEBIT(in, 7), fb) << (7 ^ 24);\r
+ ret |= lfsr_rollback_bit(s, BEBIT(in, 6), fb) << (6 ^ 24);\r
+ ret |= lfsr_rollback_bit(s, BEBIT(in, 5), fb) << (5 ^ 24);\r
+ ret |= lfsr_rollback_bit(s, BEBIT(in, 4), fb) << (4 ^ 24);\r
+ ret |= lfsr_rollback_bit(s, BEBIT(in, 3), fb) << (3 ^ 24);\r
+ ret |= lfsr_rollback_bit(s, BEBIT(in, 2), fb) << (2 ^ 24);\r
+ ret |= lfsr_rollback_bit(s, BEBIT(in, 1), fb) << (1 ^ 24);\r
+ ret |= lfsr_rollback_bit(s, BEBIT(in, 0), fb) << (0 ^ 24);\r
+ return ret;\r
}\r
\r
/** nonce_distance\r
* Described in the "dark side" paper. It returns an -1 terminated array\r
* of possible partial(21 bit) secret state.\r
* The required keystream(ks) needs to contain the keystream that was used to\r
- * encrypt the NACK which is observed when varying only the 4 last bits of Nr\r
+ * encrypt the NACK which is observed when varying only the 3 last bits of Nr\r
* only correct iff [NR_3] ^ NR_3 does not depend on Nr_3\r
*/\r
uint32_t *lfsr_prefix_ks(uint8_t ks[8], int isodd)\r
{\r
- uint32_t *candidates = malloc(4 << 21);\r
+ uint32_t *candidates = malloc(4 << 10);\r
+ if(!candidates) return 0;\r
+ \r
uint32_t c, entry;\r
- int size, i;\r
-\r
- if(!candidates)\r
- return 0;\r
-\r
- size = (1 << 21) - 1;\r
- for(i = 0; i <= size; ++i)\r
- candidates[i] = i;\r
-\r
- for(c = 0; c < 8; ++c)\r
- for(i = 0;i <= size; ++i) {\r
- entry = candidates[i] ^ fastfwd[isodd][c];\r
-\r
- if(filter(entry >> 1) == BIT(ks[c], isodd))\r
- if(filter(entry) == BIT(ks[c], isodd + 2))\r
- continue;\r
+ int size = 0, i, good;\r
\r
- candidates[i--] = candidates[size--];\r
+ for(i = 0; i < 1 << 21; ++i) {\r
+ for(c = 0, good = 1; good && c < 8; ++c) {\r
+ entry = i ^ fastfwd[isodd][c];\r
+ good &= (BIT(ks[c], isodd) == filter(entry >> 1));\r
+ good &= (BIT(ks[c], isodd + 2) == filter(entry));\r
}\r
+ if(good)\r
+ candidates[size++] = i;\r
+ }\r
\r
- candidates[size + 1] = -1;\r
+ candidates[size] = -1;\r
\r
return candidates;\r
}\r
\r
-/** brute_top\r
+/** check_pfx_parity\r
* helper function which eliminates possible secret states using parity bits\r
*/\r
-static struct Crypto1State*\r
-brute_top(uint32_t prefix, uint32_t rresp, unsigned char parities[8][8],\r
- uint32_t odd, uint32_t even, struct Crypto1State* sl)\r
+static struct Crypto1State* check_pfx_parity(uint32_t prefix, uint32_t rresp, uint8_t parities[8][8], uint32_t odd, uint32_t even, struct Crypto1State* sl)\r
{\r
- struct Crypto1State s;\r
- uint32_t ks1, nr, ks2, rr, ks3, good, c;\r
-\r
- for(c = 0; c < 8; ++c) {\r
- s.odd = odd ^ fastfwd[1][c];\r
- s.even = even ^ fastfwd[0][c];\r
- \r
- lfsr_rollback_bit(&s, 0, 0);\r
- lfsr_rollback_bit(&s, 0, 0);\r
- lfsr_rollback_bit(&s, 0, 0);\r
- \r
- lfsr_rollback_word(&s, 0, 0);\r
- lfsr_rollback_word(&s, prefix | c << 5, 1);\r
- \r
- sl->odd = s.odd;\r
- sl->even = s.even;\r
- \r
- ks1 = crypto1_word(&s, prefix | c << 5, 1);\r
- ks2 = crypto1_word(&s,0,0);\r
- ks3 = crypto1_word(&s, 0,0);\r
+ uint32_t ks1, nr, ks2, rr, ks3, c, good = 1;\r
+\r
+ for(c = 0; good && c < 8; ++c) {\r
+ sl->odd = odd ^ fastfwd[1][c];\r
+ sl->even = even ^ fastfwd[0][c];\r
+\r
+ lfsr_rollback_bit(sl, 0, 0);\r
+ lfsr_rollback_bit(sl, 0, 0);\r
+\r
+ ks3 = lfsr_rollback_bit(sl, 0, 0);\r
+ ks2 = lfsr_rollback_word(sl, 0, 0);\r
+ ks1 = lfsr_rollback_word(sl, prefix | c << 5, 1);\r
+\r
nr = ks1 ^ (prefix | c << 5);\r
rr = ks2 ^ rresp;\r
\r
- good = 1;\r
good &= parity(nr & 0x000000ff) ^ parities[c][3] ^ BIT(ks2, 24);\r
good &= parity(rr & 0xff000000) ^ parities[c][4] ^ BIT(ks2, 16);\r
good &= parity(rr & 0x00ff0000) ^ parities[c][5] ^ BIT(ks2, 8);\r
good &= parity(rr & 0x0000ff00) ^ parities[c][6] ^ BIT(ks2, 0);\r
- good &= parity(rr & 0x000000ff) ^ parities[c][7] ^ BIT(ks3, 24);\r
-\r
- if(!good)\r
- return sl;\r
+ good &= parity(rr & 0x000000ff) ^ parities[c][7] ^ ks3;\r
}\r
\r
- return ++sl;\r
-} \r
-\r
+ return sl + good;\r
+}\r
\r
/** lfsr_common_prefix\r
* Implentation of the common prefix attack.\r
* It returns a zero terminated list of possible cipher states after the\r
* tag nonce was fed in\r
*/\r
-struct Crypto1State*\r
-lfsr_common_prefix(uint32_t pfx, uint32_t rr, uint8_t ks[8], uint8_t par[8][8])\r
+\r
+struct Crypto1State* lfsr_common_prefix(uint32_t pfx, uint32_t rr, uint8_t ks[8], uint8_t par[8][8])\r
{\r
struct Crypto1State *statelist, *s;\r
uint32_t *odd, *even, *o, *e, top;\r
odd = lfsr_prefix_ks(ks, 1);\r
even = lfsr_prefix_ks(ks, 0);\r
\r
- statelist = malloc((sizeof *statelist) << 20);\r
- if(!statelist || !odd || !even)\r
- return 0;\r
-\r
+ s = statelist = malloc((sizeof *statelist) << 20);\r
+ if(!s || !odd || !even) {\r
+ free(statelist);\r
+ statelist = 0;\r
+ goto out;\r
+ }\r
\r
- s = statelist;\r
- for(o = odd; *o != 0xffffffff; ++o)\r
- for(e = even; *e != 0xffffffff; ++e)\r
+ for(o = odd; *o + 1; ++o)\r
+ for(e = even; *e + 1; ++e)\r
for(top = 0; top < 64; ++top) {\r
- *o = (*o & 0x1fffff) | (top << 21);\r
- *e = (*e & 0x1fffff) | (top >> 3) << 21;\r
- s = brute_top(pfx, rr, par, *o, *e, s);\r
+ *o += 1 << 21;\r
+ *e += (!(top & 7) + 1) << 21;\r
+ s = check_pfx_parity(pfx, rr, par, *o, *e, s);\r
}\r
\r
s->odd = s->even = 0;\r
-\r
+out:\r
free(odd);\r
free(even);\r
-\r
return statelist;\r
}\r
projects / proxmark3-svn / blobdiff