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/*! \file comp128.c
* COMP128 v1; common/old GSM Authentication Algorithm (A3/A8).
*
* This code is inspired by original code from :
* Marc Briceno <marc@scard.org>, Ian Goldberg <iang@cs.berkeley.edu>,
* and David Wagner <daw@cs.berkeley.edu>
*
* But it has been fully rewritten from various PDFs found online describing
* the algorithm because the licence of the code referenced above was unclear.
* A comment snippet from the original code is included below, it describes
* where the doc came from and how the algorithm was reverse engineered.
*
* This code derived from a leaked document from the GSM standards.
* Some missing pieces were filled in by reverse-engineering a working SIM.
* We have verified that this is the correct COMP128 algorithm.
*
* The first page of the document identifies it as
*
* _Technical Information: GSM System Security Study_.
* 10-1617-01, 10th June 1988.
*
* The bottom of the title page is marked
*
* Racal Research Ltd.
* Worton Drive, Worton Grange Industrial Estate,
* Reading, Berks. RG2 0SB, England.
* Telephone: Reading (0734) 868601 Telex: 847152
*
* The relevant bits are in Part I, Section 20 (pages 66--67). Enjoy!
*
* Note: There are three typos in the spec (discovered by
* reverse-engineering).
* - First, "z = (2 * x[n] + x[n]) mod 2^(9-j)" should clearly read
* "z = (2 * x[m] + x[n]) mod 2^(9-j)".
* - Second, the "k" loop in the "Form bits from bytes" section is severely
* botched: the k index should run only from 0 to 3, and clearly the range
* on "the (8-k)th bit of byte j" is also off (should be 0..7, not 1..8,
* to be consistent with the subsequent section).
* - Third, SRES is taken from the first 8 nibbles of x[], not the last 8 as
* claimed in the document. (And the document doesn't specify how Kc is
* derived, but that was also easily discovered with reverse engineering.)
* All of these typos have been corrected in the following code.
*/
/*
* (C) 2009 by Sylvain Munaut <tnt@246tNt.com>
*
* All Rights Reserved
*
* SPDX-License-Identifier: GPL-2.0+
*
* 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 USA.
*
*/
#include <string.h>
#include <stdint.h>
/*! \addtogroup auth
* @{
* \file comp128.c */
/* The compression tables (just copied ...) */
static const uint8_t table_0[512] = {
102, 177, 186, 162, 2, 156, 112, 75, 55, 25, 8, 12, 251, 193, 246, 188,
109, 213, 151, 53, 42, 79, 191, 115, 233, 242, 164, 223, 209, 148, 108, 161,
252, 37, 244, 47, 64, 211, 6, 237, 185, 160, 139, 113, 76, 138, 59, 70,
67, 26, 13, 157, 63, 179, 221, 30, 214, 36, 166, 69, 152, 124, 207, 116,
247, 194, 41, 84, 71, 1, 49, 14, 95, 35, 169, 21, 96, 78, 215, 225,
182, 243, 28, 92, 201, 118, 4, 74, 248, 128, 17, 11, 146, 132, 245, 48,
149, 90, 120, 39, 87, 230, 106, 232, 175, 19, 126, 190, 202, 141, 137, 176,
250, 27, 101, 40, 219, 227, 58, 20, 51, 178, 98, 216, 140, 22, 32, 121,
61, 103, 203, 72, 29, 110, 85, 212, 180, 204, 150, 183, 15, 66, 172, 196,
56, 197, 158, 0, 100, 45, 153, 7, 144, 222, 163, 167, 60, 135, 210, 231,
174, 165, 38, 249, 224, 34, 220, 229, 217, 208, 241, 68, 206, 189, 125, 255,
239, 54, 168, 89, 123, 122, 73, 145, 117, 234, 143, 99, 129, 200, 192, 82,
104, 170, 136, 235, 93, 81, 205, 173, 236, 94, 105, 52, 46, 228, 198, 5,
57, 254, 97, 155, 142, 133, 199, 171, 187, 50, 65, 181, 127, 107, 147, 226,
184, 218, 131, 33, 77, 86, 31, 44, 88, 62, 238, 18, 24, 43, 154, 23,
80, 159, 134, 111, 9, 114, 3, 91, 16, 130, 83, 10, 195, 240, 253, 119,
177, 102, 162, 186, 156, 2, 75, 112, 25, 55, 12, 8, 193, 251, 188, 246,
213, 109, 53, 151, 79, 42, 115, 191, 242, 233, 223, 164, 148, 209, 161, 108,
37, 252, 47, 244, 211, 64, 237, 6, 160, 185, 113, 139, 138, 76, 70, 59,
26, 67, 157, 13, 179, 63, 30, 221, 36, 214, 69, 166, 124, 152, 116, 207,
194, 247, 84, 41, 1, 71, 14, 49, 35, 95, 21, 169, 78, 96, 225, 215,
243, 182, 92, 28, 118, 201, 74, 4, 128, 248, 11, 17, 132, 146, 48, 245,
90, 149, 39, 120, 230, 87, 232, 106, 19, 175, 190, 126, 141, 202, 176, 137,
27, 250, 40, 101, 227, 219, 20, 58, 178, 51, 216, 98, 22, 140, 121, 32,
103, 61, 72, 203, 110, 29, 212, 85, 204, 180, 183, 150, 66, 15, 196, 172,
197, 56, 0, 158, 45, 100, 7, 153, 222, 144, 167, 163, 135, 60, 231, 210,
165, 174, 249, 38, 34, 224, 229, 220, 208, 217, 68, 241, 189, 206, 255, 125,
54, 239, 89, 168, 122, 123, 145, 73, 234, 117, 99, 143, 200, 129, 82, 192,
170, 104, 235, 136, 81, 93, 173, 205, 94, 236, 52, 105, 228, 46, 5, 198,
254, 57, 155, 97, 133, 142, 171, 199, 50, 187, 181, 65, 107, 127, 226, 147,
218, 184, 33, 131, 86, 77, 44, 31, 62, 88, 18, 238, 43, 24, 23, 154,
159, 80, 111, 134, 114, 9, 91, 3, 130, 16, 10, 83, 240, 195, 119, 253,
}, table_1[256] = {
19, 11, 80, 114, 43, 1, 69, 94, 39, 18, 127, 117, 97, 3, 85, 43,
27, 124, 70, 83, 47, 71, 63, 10, 47, 89, 79, 4, 14, 59, 11, 5,
35, 107, 103, 68, 21, 86, 36, 91, 85, 126, 32, 50, 109, 94, 120, 6,
53, 79, 28, 45, 99, 95, 41, 34, 88, 68, 93, 55, 110, 125, 105, 20,
90, 80, 76, 96, 23, 60, 89, 64, 121, 56, 14, 74, 101, 8, 19, 78,
76, 66, 104, 46, 111, 50, 32, 3, 39, 0, 58, 25, 92, 22, 18, 51,
57, 65, 119, 116, 22, 109, 7, 86, 59, 93, 62, 110, 78, 99, 77, 67,
12, 113, 87, 98, 102, 5, 88, 33, 38, 56, 23, 8, 75, 45, 13, 75,
95, 63, 28, 49, 123, 120, 20, 112, 44, 30, 15, 98, 106, 2, 103, 29,
82, 107, 42, 124, 24, 30, 41, 16, 108, 100, 117, 40, 73, 40, 7, 114,
82, 115, 36, 112, 12, 102, 100, 84, 92, 48, 72, 97, 9, 54, 55, 74,
113, 123, 17, 26, 53, 58, 4, 9, 69, 122, 21, 118, 42, 60, 27, 73,
118, 125, 34, 15, 65, 115, 84, 64, 62, 81, 70, 1, 24, 111, 121, 83,
104, 81, 49, 127, 48, 105, 31, 10, 6, 91, 87, 37, 16, 54, 116, 126,
31, 38, 13, 0, 72, 106, 77, 61, 26, 67, 46, 29, 96, 37, 61, 52,
101, 17, 44, 108, 71, 52, 66, 57, 33, 51, 25, 90, 2, 119, 122, 35,
}, table_2[128] = {
52, 50, 44, 6, 21, 49, 41, 59, 39, 51, 25, 32, 51, 47, 52, 43,
37, 4, 40, 34, 61, 12, 28, 4, 58, 23, 8, 15, 12, 22, 9, 18,
55, 10, 33, 35, 50, 1, 43, 3, 57, 13, 62, 14, 7, 42, 44, 59,
62, 57, 27, 6, 8, 31, 26, 54, 41, 22, 45, 20, 39, 3, 16, 56,
48, 2, 21, 28, 36, 42, 60, 33, 34, 18, 0, 11, 24, 10, 17, 61,
29, 14, 45, 26, 55, 46, 11, 17, 54, 46, 9, 24, 30, 60, 32, 0,
20, 38, 2, 30, 58, 35, 1, 16, 56, 40, 23, 48, 13, 19, 19, 27,
31, 53, 47, 38, 63, 15, 49, 5, 37, 53, 25, 36, 63, 29, 5, 7,
}, table_3[64] = {
1, 5, 29, 6, 25, 1, 18, 23, 17, 19, 0, 9, 24, 25, 6, 31,
28, 20, 24, 30, 4, 27, 3, 13, 15, 16, 14, 18, 4, 3, 8, 9,
20, 0, 12, 26, 21, 8, 28, 2, 29, 2, 15, 7, 11, 22, 14, 10,
17, 21, 12, 30, 26, 27, 16, 31, 11, 7, 13, 23, 10, 5, 22, 19,
}, table_4[32] = {
15, 12, 10, 4, 1, 14, 11, 7, 5, 0, 14, 7, 1, 2, 13, 8,
10, 3, 4, 9, 6, 0, 3, 2, 5, 6, 8, 9, 11, 13, 15, 12,
};
static const uint8_t *_comp128_table[5] = { table_0, table_1, table_2, table_3, table_4 };
static inline void
_comp128_compression_round(uint8_t *x, int n, const uint8_t *tbl)
{
int i, j, m, a, b, y, z;
m = 4 - n;
for (i=0; i<(1<<n); i++)
for (j=0; j<(1<<m); j++) {
a = j + i * (2<<m);
b = a + (1<<m);
y = (x[a] + (x[b]<<1)) & ((32<<m)-1);
z = ((x[a]<<1) + x[b]) & ((32<<m)-1);
x[a] = tbl[y];
x[b] = tbl[z];
}
}
static inline void
_comp128_compression(uint8_t *x)
{
int n;
for (n=0; n<5; n++)
_comp128_compression_round(x, n, _comp128_table[n]);
}
static inline void
_comp128_bitsfrombytes(uint8_t *x, uint8_t *bits)
{
int i;
memset(bits, 0x00, 128);
for (i=0; i<128; i++)
if (x[i>>2] & (1<<(3-(i&3))))
bits[i] = 1;
}
static inline void
_comp128_permutation(uint8_t *x, uint8_t *bits)
{
int i;
memset(&x[16], 0x00, 16);
for (i=0; i<128; i++)
x[(i>>3)+16] |= bits[(i*17) & 127] << (7-(i&7));
}
/*! Perform COMP128v1 algorithm
* \param[in] ki Secret Key K(i) of subscriber
* \param[in] rand Random Challenge
* \param[out] sres user-supplied buffer for storing computed SRES value
* \param[out] kc user-supplied buffer for storing computed Kc value */
void
comp128v1(const uint8_t *ki, const uint8_t *rand, uint8_t *sres, uint8_t *kc)
{
int i;
uint8_t x[32], bits[128];
/* x[16-31] = RAND */
memcpy(&x[16], rand, 16);
/* Round 1-7 */
for (i=0; i<7; i++) {
/* x[0-15] = Ki */
memcpy(x, ki, 16);
/* Compression */
_comp128_compression(x);
/* FormBitFromBytes */
_comp128_bitsfrombytes(x, bits);
/* Permutation */
_comp128_permutation(x, bits);
}
/* Round 8 (final) */
/* x[0-15] = Ki */
memcpy(x, ki, 16);
/* Compression */
_comp128_compression(x);
/* Output stage */
for (i=0; i<8; i+=2)
sres[i>>1] = x[i]<<4 | x[i+1];
for (i=0; i<12; i+=2)
kc[i>>1] = (x[i + 18] << 6) |
(x[i + 19] << 2) |
(x[i + 20] >> 2);
kc[6] = (x[30]<<6) | (x[31]<<2);
kc[7] = 0;
}
/*! Perform COMP128v1 algorithm
* \param[in] ki Secret Key K(i) of subscriber
* \param[in] rand Random Challenge
* \param[out] sres user-supplied buffer for storing computed SRES value
* \param[out] kc user-supplied buffer for storing computed Kc value */
void
comp128(const uint8_t *ki, const uint8_t *rand, uint8_t *sres, uint8_t *kc)
{
comp128v1(ki, rand, sres, kc);
}
/*! @} */
|
