X-Git-Url: http://cvs.zerfleddert.de/cgi-bin/gitweb.cgi/proxmark3-svn/blobdiff_plain/93f57590455b1c57ff09119b1de407ccd1d7ed62..cb0b8f94c903b5aaa0ebeba5b100ccd39d9625d7:/tools/nonce2key/crapto1.c diff --git a/tools/nonce2key/crapto1.c b/tools/nonce2key/crapto1.c index c0a158b5..1d854d96 100644 --- a/tools/nonce2key/crapto1.c +++ b/tools/nonce2key/crapto1.c @@ -15,7 +15,7 @@ Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, US$ - Copyright (C) 2008-2008 bla + Copyright (C) 2008-2014 bla */ #include "crapto1.h" #include @@ -31,50 +31,74 @@ static void __attribute__((constructor)) fill_lut() #define filter(x) (filterlut[(x) & 0xfffff]) #endif -static void quicksort(uint32_t* const start, uint32_t* const stop) -{ - uint32_t *it = start + 1, *rit = stop; - - if(it > rit) - return; - - while(it < rit) - if(*it <= *start) - ++it; - else if(*rit > *start) - --rit; - else - *it ^= (*it ^= *rit, *rit ^= *it); - - if(*rit >= *start) - --rit; - if(rit != start) - *rit ^= (*rit ^= *start, *start ^= *rit); - - quicksort(start, rit - 1); - quicksort(rit + 1, stop); -} -/** binsearch - * Binary search for the first occurence of *stop's MSB in sorted [start,stop] - */ -static inline uint32_t* -binsearch(uint32_t *start, uint32_t *stop) + + +typedef struct bucket { + uint32_t *head; + uint32_t *bp; +} bucket_t; + +typedef bucket_t bucket_array_t[2][0x100]; + +typedef struct bucket_info { + struct { + uint32_t *head, *tail; + } bucket_info[2][0x100]; + uint32_t numbuckets; + } bucket_info_t; + + +static void bucket_sort_intersect(uint32_t* const estart, uint32_t* const estop, + uint32_t* const ostart, uint32_t* const ostop, + bucket_info_t *bucket_info, bucket_array_t bucket) { - uint32_t mid, val = *stop & 0xff000000; - while(start != stop) - if(start[mid = (stop - start) >> 1] > val) - stop = &start[mid]; - else - start += mid + 1; - - return start; + uint32_t *p1, *p2; + uint32_t *start[2]; + uint32_t *stop[2]; + + start[0] = estart; + stop[0] = estop; + start[1] = ostart; + stop[1] = ostop; + + // init buckets to be empty + for (uint32_t i = 0; i < 2; i++) { + for (uint32_t j = 0x00; j <= 0xff; j++) { + bucket[i][j].bp = bucket[i][j].head; + } + } + + // sort the lists into the buckets based on the MSB (contribution bits) + for (uint32_t i = 0; i < 2; i++) { + for (p1 = start[i]; p1 <= stop[i]; p1++) { + uint32_t bucket_index = (*p1 & 0xff000000) >> 24; + *(bucket[i][bucket_index].bp++) = *p1; + } + } + + + // write back intersecting buckets as sorted list. + // fill in bucket_info with head and tail of the bucket contents in the list and number of non-empty buckets. + uint32_t nonempty_bucket; + for (uint32_t i = 0; i < 2; i++) { + p1 = start[i]; + nonempty_bucket = 0; + for (uint32_t j = 0x00; j <= 0xff; j++) { + if (bucket[0][j].bp != bucket[0][j].head && bucket[1][j].bp != bucket[1][j].head) { // non-empty intersecting buckets only + bucket_info->bucket_info[i][nonempty_bucket].head = p1; + for (p2 = bucket[i][j].head; p2 < bucket[i][j].bp; *p1++ = *p2++); + bucket_info->bucket_info[i][nonempty_bucket].tail = p1 - 1; + nonempty_bucket++; + } + } + bucket_info->numbuckets = nonempty_bucket; + } } /** update_contribution * helper, calculates the partial linear feedback contributions and puts in MSB */ -static inline void -update_contribution(uint32_t *item, const uint32_t mask1, const uint32_t mask2) +static inline void update_contribution(uint32_t *item, const uint32_t mask1, const uint32_t mask2) { uint32_t p = *item >> 25; @@ -86,8 +110,7 @@ update_contribution(uint32_t *item, const uint32_t mask1, const uint32_t mask2) /** extend_table * using a bit of the keystream extend the table of possible lfsr states */ -static inline void -extend_table(uint32_t *tbl, uint32_t **end, int bit, int m1, int m2, uint32_t in) +static inline void extend_table(uint32_t *tbl, uint32_t **end, int bit, int m1, int m2, uint32_t in) { in <<= 24; for(*tbl <<= 1; tbl <= *end; *++tbl <<= 1) @@ -108,17 +131,18 @@ extend_table(uint32_t *tbl, uint32_t **end, int bit, int m1, int m2, uint32_t in /** extend_table_simple * using a bit of the keystream extend the table of possible lfsr states */ -static inline void -extend_table_simple(uint32_t *tbl, uint32_t **end, int bit) +static inline void extend_table_simple(uint32_t *tbl, uint32_t **end, int bit) { - for(*tbl <<= 1; tbl <= *end; *++tbl <<= 1) - if(filter(*tbl) ^ filter(*tbl | 1)) { + for(*tbl <<= 1; tbl <= *end; *++tbl <<= 1) { + if(filter(*tbl) ^ filter(*tbl | 1)) { // replace *tbl |= filter(*tbl) ^ bit; - } else if(filter(*tbl) == bit) { + } else if(filter(*tbl) == bit) { // insert *++*end = *++tbl; *tbl = tbl[-1] | 1; - } else + } else { // drop *tbl-- = *(*end)--; + } + } } /** recover * recursively narrow down the search space, 4 bits of keystream at a time @@ -126,9 +150,10 @@ extend_table_simple(uint32_t *tbl, uint32_t **end, int bit) static struct Crypto1State* recover(uint32_t *o_head, uint32_t *o_tail, uint32_t oks, uint32_t *e_head, uint32_t *e_tail, uint32_t eks, int rem, - struct Crypto1State *sl, uint32_t in) + struct Crypto1State *sl, uint32_t in, bucket_array_t bucket) { - uint32_t *o, *e, i; + uint32_t *o, *e; + bucket_info_t bucket_info; if(rem == -1) { for(e = e_head; e <= e_tail; ++e) { @@ -142,32 +167,26 @@ recover(uint32_t *o_head, uint32_t *o_tail, uint32_t oks, return sl; } - for(i = 0; i < 4 && rem--; i++) { - extend_table(o_head, &o_tail, (oks >>= 1) & 1, - LF_POLY_EVEN << 1 | 1, LF_POLY_ODD << 1, 0); + for(uint32_t i = 0; i < 4 && rem--; i++) { + oks >>= 1; + eks >>= 1; + in >>= 2; + extend_table(o_head, &o_tail, oks & 1, LF_POLY_EVEN << 1 | 1, LF_POLY_ODD << 1, 0); if(o_head > o_tail) return sl; - extend_table(e_head, &e_tail, (eks >>= 1) & 1, - LF_POLY_ODD, LF_POLY_EVEN << 1 | 1, (in >>= 2) & 3); + extend_table(e_head, &e_tail, eks & 1, LF_POLY_ODD, LF_POLY_EVEN << 1 | 1, in & 3); if(e_head > e_tail) return sl; } - quicksort(o_head, o_tail); - quicksort(e_head, e_tail); + bucket_sort_intersect(e_head, e_tail, o_head, o_tail, &bucket_info, bucket); - while(o_tail >= o_head && e_tail >= e_head) - if(((*o_tail ^ *e_tail) >> 24) == 0) { - o_tail = binsearch(o_head, o = o_tail); - e_tail = binsearch(e_head, e = e_tail); - sl = recover(o_tail--, o, oks, - e_tail--, e, eks, rem, sl, in); + for (int i = bucket_info.numbuckets - 1; i >= 0; i--) { + sl = recover(bucket_info.bucket_info[1][i].head, bucket_info.bucket_info[1][i].tail, oks, + bucket_info.bucket_info[0][i].head, bucket_info.bucket_info[0][i].tail, eks, + rem, sl, in, bucket); } - else if(*o_tail > *e_tail) - o_tail = binsearch(o_head, o_tail) - 1; - else - e_tail = binsearch(e_head, e_tail) - 1; return sl; } @@ -183,6 +202,7 @@ struct Crypto1State* lfsr_recovery32(uint32_t ks2, uint32_t in) uint32_t *even_head = 0, *even_tail = 0, eks = 0; int i; + // split the keystream into an odd and even part for(i = 31; i >= 0; i -= 2) oks = oks << 1 | BEBIT(ks2, i); for(i = 30; i >= 0; i -= 2) @@ -191,11 +211,27 @@ struct Crypto1State* lfsr_recovery32(uint32_t ks2, uint32_t in) odd_head = odd_tail = malloc(sizeof(uint32_t) << 21); even_head = even_tail = malloc(sizeof(uint32_t) << 21); statelist = malloc(sizeof(struct Crypto1State) << 18); - if(!odd_tail-- || !even_tail-- || !statelist) + if(!odd_tail-- || !even_tail-- || !statelist) { + free(statelist); + statelist = 0; goto out; + } statelist->odd = statelist->even = 0; + // allocate memory for out of place bucket_sort + bucket_array_t bucket; + + for (uint32_t i = 0; i < 2; i++) { + for (uint32_t j = 0; j <= 0xff; j++) { + bucket[i][j].head = malloc(sizeof(uint32_t)<<14); + if (!bucket[i][j].head) { + goto out; + } + } + } + + // initialize statelists: add all possible states which would result into the rightmost 2 bits of the keystream for(i = 1 << 20; i >= 0; --i) { if(filter(i) == (oks & 1)) *++odd_tail = i; @@ -203,16 +239,22 @@ struct Crypto1State* lfsr_recovery32(uint32_t ks2, uint32_t in) *++even_tail = i; } + // extend the statelists. Look at the next 8 Bits of the keystream (4 Bit each odd and even): for(i = 0; i < 4; i++) { extend_table_simple(odd_head, &odd_tail, (oks >>= 1) & 1); extend_table_simple(even_head, &even_tail, (eks >>= 1) & 1); } - in = (in >> 16 & 0xff) | (in << 16) | (in & 0xff00); - recover(odd_head, odd_tail, oks, - even_head, even_tail, eks, 11, statelist, in << 1); + // the statelists now contain all states which could have generated the last 10 Bits of the keystream. + // 22 bits to go to recover 32 bits in total. From now on, we need to take the "in" + // parameter into account. + in = (in >> 16 & 0xff) | (in << 16) | (in & 0xff00); // Byte swapping + recover(odd_head, odd_tail, oks, even_head, even_tail, eks, 11, statelist, in << 1, bucket); out: + for (uint32_t i = 0; i < 2; i++) + for (uint32_t j = 0; j <= 0xff; j++) + free(bucket[i][j].head); free(odd_head); free(even_head); return statelist; @@ -255,12 +297,12 @@ struct Crypto1State* lfsr_recovery64(uint32_t ks2, uint32_t ks3) sl->odd = sl->even = 0; for(i = 30; i >= 0; i -= 2) { - oks[i >> 1] = BIT(ks2, i ^ 24); - oks[16 + (i >> 1)] = BIT(ks3, i ^ 24); + oks[i >> 1] = BEBIT(ks2, i); + oks[16 + (i >> 1)] = BEBIT(ks3, i); } for(i = 31; i >= 0; i -= 2) { - eks[i >> 1] = BIT(ks2, i ^ 24); - eks[16 + (i >> 1)] = BIT(ks3, i ^ 24); + eks[i >> 1] = BEBIT(ks2, i); + eks[16 + (i >> 1)] = BEBIT(ks3, i); } for(i = 0xfffff; i >= 0; --i) { @@ -311,38 +353,95 @@ struct Crypto1State* lfsr_recovery64(uint32_t ks2, uint32_t ks3) /** lfsr_rollback_bit * Rollback the shift register in order to get previous states */ -void lfsr_rollback_bit(struct Crypto1State *s, uint32_t in, int fb) +uint8_t lfsr_rollback_bit(struct Crypto1State *s, uint32_t in, int fb) { int out; + uint8_t ret; + uint32_t t; s->odd &= 0xffffff; - s->odd ^= (s->odd ^= s->even, s->even ^= s->odd); + t = s->odd, s->odd = s->even, s->even = t; out = s->even & 1; out ^= LF_POLY_EVEN & (s->even >>= 1); out ^= LF_POLY_ODD & s->odd; out ^= !!in; - out ^= filter(s->odd) & !!fb; + out ^= (ret = filter(s->odd)) & !!fb; s->even |= parity(out) << 23; + return ret; } /** lfsr_rollback_byte * Rollback the shift register in order to get previous states */ -void lfsr_rollback_byte(struct Crypto1State *s, uint32_t in, int fb) +uint8_t lfsr_rollback_byte(struct Crypto1State *s, uint32_t in, int fb) { - int i; + /* + int i, ret = 0; for (i = 7; i >= 0; --i) - lfsr_rollback_bit(s, BEBIT(in, i), fb); + ret |= lfsr_rollback_bit(s, BIT(in, i), fb) << i; +*/ +// unfold loop 20160112 + uint8_t ret = 0; + ret |= lfsr_rollback_bit(s, BIT(in, 7), fb) << 7; + ret |= lfsr_rollback_bit(s, BIT(in, 6), fb) << 6; + ret |= lfsr_rollback_bit(s, BIT(in, 5), fb) << 5; + ret |= lfsr_rollback_bit(s, BIT(in, 4), fb) << 4; + ret |= lfsr_rollback_bit(s, BIT(in, 3), fb) << 3; + ret |= lfsr_rollback_bit(s, BIT(in, 2), fb) << 2; + ret |= lfsr_rollback_bit(s, BIT(in, 1), fb) << 1; + ret |= lfsr_rollback_bit(s, BIT(in, 0), fb) << 0; + return ret; } /** lfsr_rollback_word * Rollback the shift register in order to get previous states */ -void lfsr_rollback_word(struct Crypto1State *s, uint32_t in, int fb) +uint32_t lfsr_rollback_word(struct Crypto1State *s, uint32_t in, int fb) { + /* int i; + uint32_t ret = 0; for (i = 31; i >= 0; --i) - lfsr_rollback_bit(s, BEBIT(in, i), fb); + ret |= lfsr_rollback_bit(s, BEBIT(in, i), fb) << (i ^ 24); +*/ +// unfold loop 20160112 + uint32_t ret = 0; + ret |= lfsr_rollback_bit(s, BEBIT(in, 31), fb) << (31 ^ 24); + ret |= lfsr_rollback_bit(s, BEBIT(in, 30), fb) << (30 ^ 24); + ret |= lfsr_rollback_bit(s, BEBIT(in, 29), fb) << (29 ^ 24); + ret |= lfsr_rollback_bit(s, BEBIT(in, 28), fb) << (28 ^ 24); + ret |= lfsr_rollback_bit(s, BEBIT(in, 27), fb) << (27 ^ 24); + ret |= lfsr_rollback_bit(s, BEBIT(in, 26), fb) << (26 ^ 24); + ret |= lfsr_rollback_bit(s, BEBIT(in, 25), fb) << (25 ^ 24); + ret |= lfsr_rollback_bit(s, BEBIT(in, 24), fb) << (24 ^ 24); + + ret |= lfsr_rollback_bit(s, BEBIT(in, 23), fb) << (23 ^ 24); + ret |= lfsr_rollback_bit(s, BEBIT(in, 22), fb) << (22 ^ 24); + ret |= lfsr_rollback_bit(s, BEBIT(in, 21), fb) << (21 ^ 24); + ret |= lfsr_rollback_bit(s, BEBIT(in, 20), fb) << (20 ^ 24); + ret |= lfsr_rollback_bit(s, BEBIT(in, 19), fb) << (19 ^ 24); + ret |= lfsr_rollback_bit(s, BEBIT(in, 18), fb) << (18 ^ 24); + ret |= lfsr_rollback_bit(s, BEBIT(in, 17), fb) << (17 ^ 24); + ret |= lfsr_rollback_bit(s, BEBIT(in, 16), fb) << (16 ^ 24); + + ret |= lfsr_rollback_bit(s, BEBIT(in, 15), fb) << (15 ^ 24); + ret |= lfsr_rollback_bit(s, BEBIT(in, 14), fb) << (14 ^ 24); + ret |= lfsr_rollback_bit(s, BEBIT(in, 13), fb) << (13 ^ 24); + ret |= lfsr_rollback_bit(s, BEBIT(in, 12), fb) << (12 ^ 24); + ret |= lfsr_rollback_bit(s, BEBIT(in, 11), fb) << (11 ^ 24); + ret |= lfsr_rollback_bit(s, BEBIT(in, 10), fb) << (10 ^ 24); + ret |= lfsr_rollback_bit(s, BEBIT(in, 9), fb) << (9 ^ 24); + ret |= lfsr_rollback_bit(s, BEBIT(in, 8), fb) << (8 ^ 24); + + ret |= lfsr_rollback_bit(s, BEBIT(in, 7), fb) << (7 ^ 24); + ret |= lfsr_rollback_bit(s, BEBIT(in, 6), fb) << (6 ^ 24); + ret |= lfsr_rollback_bit(s, BEBIT(in, 5), fb) << (5 ^ 24); + ret |= lfsr_rollback_bit(s, BEBIT(in, 4), fb) << (4 ^ 24); + ret |= lfsr_rollback_bit(s, BEBIT(in, 3), fb) << (3 ^ 24); + ret |= lfsr_rollback_bit(s, BEBIT(in, 2), fb) << (2 ^ 24); + ret |= lfsr_rollback_bit(s, BEBIT(in, 1), fb) << (1 ^ 24); + ret |= lfsr_rollback_bit(s, BEBIT(in, 0), fb) << (0 ^ 24); + return ret; } /** nonce_distance @@ -376,83 +475,63 @@ static uint32_t fastfwd[2][8] = { * Described in the "dark side" paper. It returns an -1 terminated array * of possible partial(21 bit) secret state. * The required keystream(ks) needs to contain the keystream that was used to - * encrypt the NACK which is observed when varying only the 4 last bits of Nr + * encrypt the NACK which is observed when varying only the 3 last bits of Nr * only correct iff [NR_3] ^ NR_3 does not depend on Nr_3 */ uint32_t *lfsr_prefix_ks(uint8_t ks[8], int isodd) { - uint32_t *candidates = malloc(4 << 21); + uint32_t *candidates = malloc(4 << 10); + if(!candidates) return 0; + uint32_t c, entry; - int size, i; + int size = 0, i, good; - if(!candidates) - return 0; - - size = (1 << 21) - 1; - for(i = 0; i <= size; ++i) - candidates[i] = i; - - for(c = 0; c < 8; ++c) - for(i = 0;i <= size; ++i) { - entry = candidates[i] ^ fastfwd[isodd][c]; - - if(filter(entry >> 1) == BIT(ks[c], isodd)) - if(filter(entry) == BIT(ks[c], isodd + 2)) - continue; - - candidates[i--] = candidates[size--]; + for(i = 0; i < 1 << 21; ++i) { + for(c = 0, good = 1; good && c < 8; ++c) { + entry = i ^ fastfwd[isodd][c]; + good &= (BIT(ks[c], isodd) == filter(entry >> 1)); + good &= (BIT(ks[c], isodd + 2) == filter(entry)); } + if(good) + candidates[size++] = i; + } - candidates[size + 1] = -1; + candidates[size] = -1; return candidates; } -/** brute_top +/** check_pfx_parity * helper function which eliminates possible secret states using parity bits */ -static struct Crypto1State* -brute_top(uint32_t prefix, uint32_t rresp, unsigned char parities[8][8], - uint32_t odd, uint32_t even, struct Crypto1State* sl) +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) { - struct Crypto1State s; - uint32_t ks1, nr, ks2, rr, ks3, good, c; - - for(c = 0; c < 8; ++c) { - s.odd = odd ^ fastfwd[1][c]; - s.even = even ^ fastfwd[0][c]; - - lfsr_rollback_bit(&s, 0, 0); - lfsr_rollback_bit(&s, 0, 0); - lfsr_rollback_bit(&s, 0, 0); - - lfsr_rollback_word(&s, 0, 0); - lfsr_rollback_word(&s, prefix | c << 5, 1); - - sl->odd = s.odd; - sl->even = s.even; - - ks1 = crypto1_word(&s, prefix | c << 5, 1); - ks2 = crypto1_word(&s,0,0); - ks3 = crypto1_word(&s, 0,0); + uint32_t ks1, nr, ks2, rr, ks3, c, good = 1; + + for(c = 0; good && c < 8; ++c) { + sl->odd = odd ^ fastfwd[1][c]; + sl->even = even ^ fastfwd[0][c]; + + lfsr_rollback_bit(sl, 0, 0); + lfsr_rollback_bit(sl, 0, 0); + + ks3 = lfsr_rollback_bit(sl, 0, 0); + ks2 = lfsr_rollback_word(sl, 0, 0); + ks1 = lfsr_rollback_word(sl, prefix | c << 5, 1); + nr = ks1 ^ (prefix | c << 5); rr = ks2 ^ rresp; - good = 1; good &= parity(nr & 0x000000ff) ^ parities[c][3] ^ BIT(ks2, 24); good &= parity(rr & 0xff000000) ^ parities[c][4] ^ BIT(ks2, 16); good &= parity(rr & 0x00ff0000) ^ parities[c][5] ^ BIT(ks2, 8); good &= parity(rr & 0x0000ff00) ^ parities[c][6] ^ BIT(ks2, 0); - good &= parity(rr & 0x000000ff) ^ parities[c][7] ^ BIT(ks3, 24); - - if(!good) - return sl; + good &= parity(rr & 0x000000ff) ^ parities[c][7] ^ ks3; } - return ++sl; + return sl + good; } - /** lfsr_common_prefix * Implentation of the common prefix attack. * Requires the 28 bit constant prefix used as reader nonce (pfx) @@ -462,8 +541,8 @@ brute_top(uint32_t prefix, uint32_t rresp, unsigned char parities[8][8], * It returns a zero terminated list of possible cipher states after the * tag nonce was fed in */ -struct Crypto1State* -lfsr_common_prefix(uint32_t pfx, uint32_t rr, uint8_t ks[8], uint8_t par[8][8]) + +struct Crypto1State* lfsr_common_prefix(uint32_t pfx, uint32_t rr, uint8_t ks[8], uint8_t par[8][8]) { struct Crypto1State *statelist, *s; uint32_t *odd, *even, *o, *e, top; @@ -471,24 +550,24 @@ lfsr_common_prefix(uint32_t pfx, uint32_t rr, uint8_t ks[8], uint8_t par[8][8]) odd = lfsr_prefix_ks(ks, 1); even = lfsr_prefix_ks(ks, 0); - statelist = malloc((sizeof *statelist) << 20); - if(!statelist || !odd || !even) - return 0; - + s = statelist = malloc((sizeof *statelist) << 20); + if(!s || !odd || !even) { + free(statelist); + statelist = 0; + goto out; + } - s = statelist; - for(o = odd; *o != 0xffffffff; ++o) - for(e = even; *e != 0xffffffff; ++e) + for(o = odd; *o + 1; ++o) + for(e = even; *e + 1; ++e) for(top = 0; top < 64; ++top) { - *o = (*o & 0x1fffff) | (top << 21); - *e = (*e & 0x1fffff) | (top >> 3) << 21; - s = brute_top(pfx, rr, par, *o, *e, s); + *o += 1 << 21; + *e += (!(top & 7) + 1) << 21; + s = check_pfx_parity(pfx, rr, par, *o, *e, s); } s->odd = s->even = 0; - +out: free(odd); free(even); - return statelist; }