mirror of
https://github.com/RfidResearchGroup/proxmark3.git
synced 2024-12-26 18:12:34 +08:00
20f9a2a1d5
2. Mifare read sector (via 1) 3. Mifare write block 4. fixed several bugs in iso 14443 select added Issue 23 Issue 26
478 lines
13 KiB
C
478 lines
13 KiB
C
/* crapto1.c
|
|
|
|
This program is free software; you can redistribute it and/or
|
|
modify it under the terms of the GNU General Public License
|
|
as published by the Free Software Foundation; either version 2
|
|
of the License, or (at your option) any later version.
|
|
|
|
This program is distributed in the hope that it will be useful,
|
|
but WITHOUT ANY WARRANTY; without even the implied warranty of
|
|
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
|
GNU General Public License for more details.
|
|
|
|
You should have received a copy of the GNU General Public License
|
|
along with this program; if not, write to the Free Software
|
|
Foundation, Inc., 51 Franklin Street, Fifth Floor,
|
|
Boston, MA 02110-1301, US$
|
|
|
|
Copyright (C) 2008-2008 bla <blapost@gmail.com>
|
|
*/
|
|
#include "crapto1.h"
|
|
#include <stdlib.h>
|
|
|
|
#if !defined LOWMEM && defined __GNUC__
|
|
static uint8_t filterlut[1 << 20];
|
|
static void __attribute__((constructor)) fill_lut()
|
|
{
|
|
uint32_t i;
|
|
for(i = 0; i < 1 << 20; ++i)
|
|
filterlut[i] = filter(i);
|
|
}
|
|
#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)
|
|
{
|
|
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;
|
|
}
|
|
|
|
/** 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)
|
|
{
|
|
uint32_t p = *item >> 25;
|
|
|
|
p = p << 1 | parity(*item & mask1);
|
|
p = p << 1 | parity(*item & mask2);
|
|
*item = p << 24 | (*item & 0xffffff);
|
|
}
|
|
|
|
/** 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)
|
|
{
|
|
in <<= 24;
|
|
for(*tbl <<= 1; tbl <= *end; *++tbl <<= 1)
|
|
if(filter(*tbl) ^ filter(*tbl | 1)) {
|
|
*tbl |= filter(*tbl) ^ bit;
|
|
update_contribution(tbl, m1, m2);
|
|
*tbl ^= in;
|
|
} else if(filter(*tbl) == bit) {
|
|
*++*end = tbl[1];
|
|
tbl[1] = tbl[0] | 1;
|
|
update_contribution(tbl, m1, m2);
|
|
*tbl++ ^= in;
|
|
update_contribution(tbl, m1, m2);
|
|
*tbl ^= in;
|
|
} else
|
|
*tbl-- = *(*end)--;
|
|
}
|
|
/** 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)
|
|
{
|
|
for(*tbl <<= 1; tbl <= *end; *++tbl <<= 1)
|
|
if(filter(*tbl) ^ filter(*tbl | 1))
|
|
*tbl |= filter(*tbl) ^ bit;
|
|
else if(filter(*tbl) == bit) {
|
|
*++*end = *++tbl;
|
|
*tbl = tbl[-1] | 1;
|
|
} else
|
|
*tbl-- = *(*end)--;
|
|
}
|
|
/** recover
|
|
* recursively narrow down the search space, 4 bits of keystream at a time
|
|
*/
|
|
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)
|
|
{
|
|
uint32_t *o, *e, i;
|
|
|
|
if(rem == -1) {
|
|
for(e = e_head; e <= e_tail; ++e) {
|
|
*e = *e << 1 ^ parity(*e & LF_POLY_EVEN) ^ !!(in & 4);
|
|
for(o = o_head; o <= o_tail; ++o, ++sl) {
|
|
sl->even = *o;
|
|
sl->odd = *e ^ parity(*o & LF_POLY_ODD);
|
|
sl[1].odd = sl[1].even = 0;
|
|
}
|
|
}
|
|
return sl;
|
|
}
|
|
|
|
for(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, 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);
|
|
|
|
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);
|
|
}
|
|
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;
|
|
}
|
|
/** lfsr_recovery
|
|
* recover the state of the lfsr given 32 bits of the keystream
|
|
* additionally you can use the in parameter to specify the value
|
|
* that was fed into the lfsr at the time the keystream was generated
|
|
*/
|
|
struct Crypto1State* lfsr_recovery32(uint32_t ks2, uint32_t in)
|
|
{
|
|
struct Crypto1State *statelist;
|
|
uint32_t *odd_head = 0, *odd_tail = 0, oks = 0;
|
|
uint32_t *even_head = 0, *even_tail = 0, eks = 0;
|
|
int i;
|
|
|
|
for(i = 31; i >= 0; i -= 2)
|
|
oks = oks << 1 | BEBIT(ks2, i);
|
|
for(i = 30; i >= 0; i -= 2)
|
|
eks = eks << 1 | BEBIT(ks2, i);
|
|
|
|
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) {
|
|
free(statelist);
|
|
statelist = 0;
|
|
goto out;
|
|
}
|
|
|
|
statelist->odd = statelist->even = 0;
|
|
|
|
for(i = 1 << 20; i >= 0; --i) {
|
|
if(filter(i) == (oks & 1))
|
|
*++odd_tail = i;
|
|
if(filter(i) == (eks & 1))
|
|
*++even_tail = i;
|
|
}
|
|
|
|
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);
|
|
|
|
out:
|
|
free(odd_head);
|
|
free(even_head);
|
|
return statelist;
|
|
}
|
|
|
|
static const uint32_t S1[] = { 0x62141, 0x310A0, 0x18850, 0x0C428, 0x06214,
|
|
0x0310A, 0x85E30, 0xC69AD, 0x634D6, 0xB5CDE, 0xDE8DA, 0x6F46D, 0xB3C83,
|
|
0x59E41, 0xA8995, 0xD027F, 0x6813F, 0x3409F, 0x9E6FA};
|
|
static const uint32_t S2[] = { 0x3A557B00, 0x5D2ABD80, 0x2E955EC0, 0x174AAF60,
|
|
0x0BA557B0, 0x05D2ABD8, 0x0449DE68, 0x048464B0, 0x42423258, 0x278192A8,
|
|
0x156042D0, 0x0AB02168, 0x43F89B30, 0x61FC4D98, 0x765EAD48, 0x7D8FDD20,
|
|
0x7EC7EE90, 0x7F63F748, 0x79117020};
|
|
static const uint32_t T1[] = {
|
|
0x4F37D, 0x279BE, 0x97A6A, 0x4BD35, 0x25E9A, 0x12F4D, 0x097A6, 0x80D66,
|
|
0xC4006, 0x62003, 0xB56B4, 0x5AB5A, 0xA9318, 0xD0F39, 0x6879C, 0xB057B,
|
|
0x582BD, 0x2C15E, 0x160AF, 0x8F6E2, 0xC3DC4, 0xE5857, 0x72C2B, 0x39615,
|
|
0x98DBF, 0xC806A, 0xE0680, 0x70340, 0x381A0, 0x98665, 0x4C332, 0xA272C};
|
|
static const uint32_t T2[] = { 0x3C88B810, 0x5E445C08, 0x2982A580, 0x14C152C0,
|
|
0x4A60A960, 0x253054B0, 0x52982A58, 0x2FEC9EA8, 0x1156C4D0, 0x08AB6268,
|
|
0x42F53AB0, 0x217A9D58, 0x161DC528, 0x0DAE6910, 0x46D73488, 0x25CB11C0,
|
|
0x52E588E0, 0x6972C470, 0x34B96238, 0x5CFC3A98, 0x28DE96C8, 0x12CFC0E0,
|
|
0x4967E070, 0x64B3F038, 0x74F97398, 0x7CDC3248, 0x38CE92A0, 0x1C674950,
|
|
0x0E33A4A8, 0x01B959D0, 0x40DCACE8, 0x26CEDDF0};
|
|
static const uint32_t C1[] = { 0x846B5, 0x4235A, 0x211AD};
|
|
static const uint32_t C2[] = { 0x1A822E0, 0x21A822E0, 0x21A822E0};
|
|
/** Reverse 64 bits of keystream into possible cipher states
|
|
* Variation mentioned in the paper. Somewhat optimized version
|
|
*/
|
|
struct Crypto1State* lfsr_recovery64(uint32_t ks2, uint32_t ks3)
|
|
{
|
|
struct Crypto1State *statelist, *sl;
|
|
uint8_t oks[32], eks[32], hi[32];
|
|
uint32_t low = 0, win = 0;
|
|
uint32_t *tail, table[1 << 16];
|
|
int i, j;
|
|
|
|
sl = statelist = malloc(sizeof(struct Crypto1State) << 4);
|
|
if(!sl)
|
|
return 0;
|
|
sl->odd = sl->even = 0;
|
|
|
|
for(i = 30; i >= 0; i -= 2) {
|
|
oks[i >> 1] = BEBIT(ks2, i);
|
|
oks[16 + (i >> 1)] = BEBIT(ks3, i);
|
|
}
|
|
for(i = 31; i >= 0; i -= 2) {
|
|
eks[i >> 1] = BEBIT(ks2, i);
|
|
eks[16 + (i >> 1)] = BEBIT(ks3, i);
|
|
}
|
|
|
|
for(i = 0xfffff; i >= 0; --i) {
|
|
if (filter(i) != oks[0])
|
|
continue;
|
|
|
|
*(tail = table) = i;
|
|
for(j = 1; tail >= table && j < 29; ++j)
|
|
extend_table_simple(table, &tail, oks[j]);
|
|
|
|
if(tail < table)
|
|
continue;
|
|
|
|
for(j = 0; j < 19; ++j)
|
|
low = low << 1 | parity(i & S1[j]);
|
|
for(j = 0; j < 32; ++j)
|
|
hi[j] = parity(i & T1[j]);
|
|
|
|
for(; tail >= table; --tail) {
|
|
for(j = 0; j < 3; ++j) {
|
|
*tail = *tail << 1;
|
|
*tail |= parity((i & C1[j]) ^ (*tail & C2[j]));
|
|
if(filter(*tail) != oks[29 + j])
|
|
goto continue2;
|
|
}
|
|
|
|
for(j = 0; j < 19; ++j)
|
|
win = win << 1 | parity(*tail & S2[j]);
|
|
|
|
win ^= low;
|
|
for(j = 0; j < 32; ++j) {
|
|
win = win << 1 ^ hi[j] ^ parity(*tail & T2[j]);
|
|
if(filter(win) != eks[j])
|
|
goto continue2;
|
|
}
|
|
|
|
*tail = *tail << 1 | parity(LF_POLY_EVEN & *tail);
|
|
sl->odd = *tail ^ parity(LF_POLY_ODD & win);
|
|
sl->even = win;
|
|
++sl;
|
|
sl->odd = sl->even = 0;
|
|
continue2:;
|
|
}
|
|
}
|
|
return statelist;
|
|
}
|
|
|
|
/** lfsr_rollback_bit
|
|
* Rollback the shift register in order to get previous states
|
|
*/
|
|
uint8_t lfsr_rollback_bit(struct Crypto1State *s, uint32_t in, int fb)
|
|
{
|
|
int out;
|
|
uint8_t ret;
|
|
|
|
s->odd &= 0xffffff;
|
|
s->odd ^= (s->odd ^= s->even, s->even ^= s->odd);
|
|
|
|
out = s->even & 1;
|
|
out ^= LF_POLY_EVEN & (s->even >>= 1);
|
|
out ^= LF_POLY_ODD & s->odd;
|
|
out ^= !!in;
|
|
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
|
|
*/
|
|
uint8_t lfsr_rollback_byte(struct Crypto1State *s, uint32_t in, int fb)
|
|
{
|
|
int i, ret = 0;
|
|
for (i = 7; i >= 0; --i)
|
|
ret |= lfsr_rollback_bit(s, BIT(in, i), fb) << i;
|
|
return ret;
|
|
}
|
|
/** lfsr_rollback_word
|
|
* Rollback the shift register in order to get previous states
|
|
*/
|
|
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)
|
|
ret |= lfsr_rollback_bit(s, BEBIT(in, i), fb) << (i ^ 24);
|
|
return ret;
|
|
}
|
|
|
|
/** nonce_distance
|
|
* x,y valid tag nonces, then prng_successor(x, nonce_distance(x, y)) = y
|
|
*/
|
|
static uint16_t *dist = 0;
|
|
int nonce_distance(uint32_t from, uint32_t to)
|
|
{
|
|
uint16_t x, i;
|
|
if(!dist) {
|
|
dist = malloc(2 << 16);
|
|
if(!dist)
|
|
return -1;
|
|
for (x = i = 1; i; ++i) {
|
|
dist[(x & 0xff) << 8 | x >> 8] = i;
|
|
x = x >> 1 | (x ^ x >> 2 ^ x >> 3 ^ x >> 5) << 15;
|
|
}
|
|
}
|
|
return (65535 + dist[to >> 16] - dist[from >> 16]) % 65535;
|
|
}
|
|
|
|
|
|
static uint32_t fastfwd[2][8] = {
|
|
{ 0, 0x4BC53, 0xECB1, 0x450E2, 0x25E29, 0x6E27A, 0x2B298, 0x60ECB},
|
|
{ 0, 0x1D962, 0x4BC53, 0x56531, 0xECB1, 0x135D3, 0x450E2, 0x58980}};
|
|
/** lfsr_prefix_ks
|
|
*
|
|
* Is an exported helper function from the common prefix attack
|
|
* 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 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 c, entry, *candidates = malloc(4 << 10);
|
|
int i, size = 0, good;
|
|
|
|
if(!candidates)
|
|
return 0;
|
|
|
|
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;
|
|
|
|
return candidates;
|
|
}
|
|
|
|
/** check_pfx_parity
|
|
* helper function which eliminates possible secret states using parity bits
|
|
*/
|
|
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)
|
|
{
|
|
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 &= 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] ^ ks3;
|
|
}
|
|
|
|
return sl + good;
|
|
}
|
|
|
|
|
|
/** lfsr_common_prefix
|
|
* Implentation of the common prefix attack.
|
|
*/
|
|
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;
|
|
|
|
odd = lfsr_prefix_ks(ks, 1);
|
|
even = lfsr_prefix_ks(ks, 0);
|
|
|
|
s = statelist = malloc((sizeof *statelist) << 20);
|
|
if(!s || !odd || !even) {
|
|
free(statelist);
|
|
statelist = 0;
|
|
goto out;
|
|
}
|
|
|
|
for(o = odd; *o + 1; ++o)
|
|
for(e = even; *e + 1; ++e)
|
|
for(top = 0; top < 64; ++top) {
|
|
*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;
|
|
}
|