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-/*
- * A pedagogical implementation of the GSM A5/1 and A5/2 "voice privacy"
- * encryption algorithms.
- *
- * Copyright (C) 1998-1999: Marc Briceno, Ian Goldberg, and David Wagner
- *
- * The source code below is optimized for instructional value and clarity.
- * Performance will be terrible, but that's not the point.
- *
- * This software may be export-controlled by US law.
- *
- * This software is free for commercial and non-commercial use as long as
- * the following conditions are adhered to.
- * Copyright remains the authors' and as such any Copyright notices in
- * the code are not to be removed.
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the copyright
- * notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- * notice, this list of conditions and the following disclaimer in the
- * documentation and/or other materials provided with the distribution.
- *
- * THIS SOFTWARE IS PROVIDED ``AS IS'' AND ANY EXPRESS OR IMPLIED
- * WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
- * MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
- * IN NO EVENT SHALL THE AUTHORS OR CONTRIBUTORS BE LIABLE FOR ANY
- * DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
- * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE
- * GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
- * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER
- * IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR
- * OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN
- * IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
- *
- * The license and distribution terms for any publicly available version
- * or derivative of this code cannot be changed. i.e. this code cannot
- * simply be copied and put under another distribution license
- * [including the GNU Public License].
- *
- * Background: The Global System for Mobile communications is the most
- * widely deployed digital cellular telephony system in the world. GSM
- * makes use of four core cryptographic algorithms, none of which has
- * been published by the GSM MOU. This failure to subject the
- * algorithms to public review is all the more puzzling given that over
- * 215 million GSM subscribers are expected to rely on the claimed
- * security of the system.
- *
- * The four core GSM cryptographic algorithms are:
- * A3 authentication algorithm
- * A5/1 "stronger" over-the-air voice-privacy algorithm
- * A5/2 "weaker" over-the-air voice-privacy algorithm
- * A8 voice-privacy key generation algorithm
- *
- * In April of 1998, our group showed that COMP128, the algorithm used by the
- * overwhelming majority of GSM providers for both A3 and A8 functionality
- * is fatally flawed and allows for cloning of GSM mobile phones.
- *
- * Furthermore, we demonstrated that all A8 implementations we could locate,
- * including the few that did not use COMP128 for key generation, had been
- * deliberately weakened by reducing the keyspace from 64 bits to 54 bits.
- * The remaining 10 bits are simply set to zero!
- *
- * See http://www.scard.org/gsm for additional information.
- *
- * [May 1999]
- * One question so far unanswered is if A5/1, the "stronger" of the two
- * widely deployed voice-privacy algorithm is at least as strong as the
- * key. Meaning: "Does A5/1 have a work factor of at least 54 bits"?
- * Absent a publicly available A5/1 reference implementation, this question
- * could not be answered. We hope that our reference implementation below,
- * which has been verified against official A5/1 test vectors, will provide
- * the cryptographic community with the base on which to construct the
- * answer to this important question.
- *
- * Initial indications about the strength of A5/1 are not encouraging.
- * A variant of A5, while not A5/1 itself, has been estimated to have a
- * work factor of well below 54 bits. See http://jya.com/crack-a5.htm for
- * background information and references.
- *
- * With COMP128 broken and A5/1 published below, we will now turn our
- * attention to A5/2.
- *
- * [August 1999]
- * 19th Annual International Cryptology Conference - Crypto'99
- * Santa Barbara, California
- *
- * A5/2 has been added to the previously published A5/1 source. Our
- * implementation has been verified against official test vectors.
- *
- * This means that our group has now reverse engineered the entire set
- * of cryptographic algorithms used in the overwhelming majority of GSM
- * installations, including all the over-the-air "voice privacy" algorithms.
- *
- * The "voice privacy" algorithm A5/2 proved especially weak. Which perhaps
- * should come as no surprise, since even GSM MOU members have admitted that
- * A5/2 was designed with heavy input by intelligence agencies to ensure
- * breakability. Just how insecure is A5/2? It can be broken in real time
- * with a work factor of a mere 16 bits. GSM might just as well use no "voice
- * privacy" algorithm at all.
- *
- * We announced the break of A5/2 at the Crypto'99 Rump Session.
- * Details will be published in a scientific paper following soon.
- *
- *
- * -- Marc Briceno <marc@scard.org>
- * Voice: +1 (925) 798-4042
- *
- */
-
-
-#include <stdio.h>
-
-
-/* Masks for the shift registers */
-#define R1MASK 0x07FFFF /* 19 bits, numbered 0..18 */
-#define R2MASK 0x3FFFFF /* 22 bits, numbered 0..21 */
-#define R3MASK 0x7FFFFF /* 23 bits, numbered 0..22 */
-#ifdef A5_2
-#define R4MASK 0x01FFFF /* 17 bits, numbered 0..16 */
-#endif /* A5_2 */
-
-
-#ifndef A5_2
-/* Middle bit of each of the three shift registers, for clock control */
-#define R1MID 0x000100 /* bit 8 */
-#define R2MID 0x000400 /* bit 10 */
-#define R3MID 0x000400 /* bit 10 */
-#else /* A5_2 */
-/* A bit of R4 that controls each of the shift registers */
-#define R4TAP1 0x000400 /* bit 10 */
-#define R4TAP2 0x000008 /* bit 3 */
-#define R4TAP3 0x000080 /* bit 7 */
-#endif /* A5_2 */
-
-
-/* Feedback taps, for clocking the shift registers.
- * These correspond to the primitive polynomials
- * x^19 + x^5 + x^2 + x + 1, x^22 + x + 1,
- * x^23 + x^15 + x^2 + x + 1, and x^17 + x^5 + 1. */
-
-
-#define R1TAPS 0x072000 /* bits 18,17,16,13 */
-#define R2TAPS 0x300000 /* bits 21,20 */
-#define R3TAPS 0x700080 /* bits 22,21,20,7 */
-#ifdef A5_2
-#define R4TAPS 0x010800 /* bits 16,11 */
-#endif /* A5_2 */
-
-
-typedef unsigned char byte;
-typedef unsigned long word;
-typedef word bit;
-
-
-/* Calculate the parity of a 32-bit word, i.e. the sum of its bits modulo 2
-*/
-bit parity(word x)
-{
- x ^= x >> 16;
- x ^= x >> 8;
- x ^= x >> 4;
- x ^= x >> 2;
- x ^= x >> 1;
- return x&1;
-}
-
-
-/* Clock one shift register. For A5/2, when the last bit of the frame
- * is loaded in, one particular bit of each register is forced to '1';
- * that bit is passed in as the last argument. */
-#ifndef A5_2
-word clockone(word reg, word mask, word taps)
-{
-#else /* A5_2 */
-word clockone(word reg, word mask, word taps, word loaded_bit) {
-#endif /* A5_2 */
- word t = reg & taps;
- reg = (reg << 1) & mask;
- reg |= parity(t);
-#ifdef A5_2
- reg |= loaded_bit;
-#endif /* A5_2 */
- return reg;
-}
-
-
-/* The three shift registers. They're in global variables to make the code
- * easier to understand.
- * A better implementation would not use global variables. */
-word R1, R2, R3;
-#ifdef A5_2
-word R4;
-#endif /* A5_2 */
-
-
-/* Return 1 iff at least two of the parameter words are non-zero. */
-bit majority(word w1, word w2, word w3) {
- int sum = (w1 != 0) + (w2 != 0) + (w3 != 0);
- if (sum >= 2)
- return 1;
- else
- return 0;
-}
-
-
-/* Clock two or three of R1,R2,R3, with clock control
- * according to their middle bits.
- * Specifically, we clock Ri whenever Ri's middle bit
- * agrees with the majority value of the three middle bits. For A5/2,
- * use particular bits of R4 instead of the middle bits. Also, for A5/2,
- * always clock R4.
- * If allP == 1, clock all three of R1,R2,R3, ignoring their middle bits.
- * This is only used for key setup. If loaded == 1, then this is the last
- * bit of the frame number, and if we're doing A5/2, we have to set a
- * particular bit in each of the four registers. */
-void clock(int allP, int loaded) {
-#ifndef A5_2
- bit maj = majority(R1 & R1MID, R2 & R2MID, R3 & R3MID);
- if (allP || (((R1&R1MID) != 0) == maj))
- R1 = clockone(R1, R1MASK, R1TAPS);
- if (allP || (((R2&R2MID) != 0) == maj))
- R2 = clockone(R2, R2MASK, R2TAPS);
- if (allP || (((R3&R3MID) != 0) == maj))
- R3 = clockone(R3, R3MASK, R3TAPS);
-#else /* A5_2 */
- bit maj = majority(R4 & R4TAP1, R4 & R4TAP2, R4 & R4TAP3);
- if (allP || (((R4&R4TAP1) != 0) == maj))
- R1 = clockone(R1, R1MASK, R1TAPS, loaded << 15);
- if (allP || (((R4&R4TAP2) != 0) == maj))
- R2 = clockone(R2, R2MASK, R2TAPS, loaded << 16);
- if (allP || (((R4&R4TAP3) != 0) == maj))
- R3 = clockone(R3, R3MASK, R3TAPS, loaded << 18);
- R4 = clockone(R4, R4MASK, R4TAPS, loaded << 10);
-#endif /* A5_2 */
-}
-
-
-/* Generate an output bit from the current state.
- * You grab a bit from each register via the output generation taps;
- * then you XOR the resulting three bits. For A5/2, in addition to
- * the top bit of each of R1,R2,R3, also XOR in a majority function
- * of three particular bits of the register (one of them complemented)
- * to make it non-linear. Also, for A5/2, delay the output by one
- * clock cycle for some reason. */
-bit getbit() {
- bit topbits = (((R1 >> 18) ^ (R2 >> 21) ^ (R3 >> 22)) & 0x01);
-#ifndef A5_2
- return topbits;
-#else /* A5_2 */
- static bit delaybit = 0;
- bit nowbit = delaybit;
- delaybit = (
- topbits
- ^ majority(R1 & 0x8000, (~R1) & 0x4000, R1 & 0x1000)
- ^ majority((~R2) & 0x10000, R2 & 0x2000, R2 & 0x200)
- ^ majority(R3 & 0x40000, R3 & 0x10000, (~R3) & 0x2000)
- );
- return nowbit;
-#endif /* A5_2 */
-}
-
-
-/* Do the A5 key setup. This routine accepts a 64-bit key and
- * a 22-bit frame number. */
-void keysetup(byte key_reversed[8], word frame) {
- int i;
- bit keybit, framebit;
-
- byte key[8];
- for(i=0; i<8; i++){
- key[i] = key_reversed[7-i];
- }
- /* Zero out the shift registers. */
- R1 = R2 = R3 = 0;
-#ifdef A5_2
- R4 = 0;
-#endif /* A5_2 */
-
-
- /* Load the key into the shift registers,
- * LSB of first byte of key array first,
- * clocking each register once for every
- * key bit loaded. (The usual clock
- * control rule is temporarily disabled.) */
- for (i = 0; i < 64; i++) {
- clock(1, 0); /* always clock */
- keybit = (key[i/8] >> (i & 7)) & 1; /* The i-th bit of the key */
- R1 ^= keybit;
- R2 ^= keybit;
- R3 ^= keybit;
-#ifdef A5_2
- R4 ^= keybit;
-#endif /* A5_2 */
- }
-
-
- /* Load the frame number into the shift registers, LSB first,
- * clocking each register once for every key bit loaded.
- * (The usual clock control rule is still disabled.)
- * For A5/2, signal when the last bit is being clocked in. */
- for (i = 0; i < 22; i++) {
- clock(1, i == 21); /* always clock */
- framebit = (frame >> i) & 1; /* The i-th bit of the frame # */
- R1 ^= framebit;
- R2 ^= framebit;
- R3 ^= framebit;
-#ifdef A5_2
- R4 ^= framebit;
-#endif /* A5_2 */
- }
-
-
- /* Run the shift registers for 100 clocks
- * to mix the keying material and frame number
- * together with output generation disabled,
- * so that there is sufficient avalanche.
- * We re-enable the majority-based clock control
- * rule from now on. */
- for (i = 0; i < 100; i++) {
- clock(0, 0);
- }
- /* For A5/2, we have to load the delayed output bit. This does _not_
- * change the state of the registers. For A5/1, this is a no-op. */
- getbit();
-
-
- /* Now the key is properly set up. */
-}
-
-
-/* Generate output. We generate 228 bits of
- * keystream output. The first 114 bits is for
- * the A->B frame; the next 114 bits is for the
- * B->A frame. You allocate a 15-byte buffer
- * for each direction, and this function fills
- * it in. */
-void run(byte AtoBkeystream[], byte BtoAkeystream[]) {
- int i;
-
-
- /* Zero out the output buffers. */
- for (i = 0; i <= 113 / 8; i++)
- AtoBkeystream[i] = BtoAkeystream[i] = 0;
-
-
- /* Generate 114 bits of keystream for the
- * A->B direction. Store it, MSB first. */
- for (i = 0; i < 114; i++) {
- clock(0, 0);
- AtoBkeystream[i/8] |= getbit() << (7 - (i & 7));
- }
-
-
- /* Generate 114 bits of keystream for the
- * B->A direction. Store it, MSB first. */
- for (i = 0; i < 114; i++) {
- clock(0, 0);
- BtoAkeystream[i/8] |= getbit() << (7 - (i & 7));
- }
-}
-
-void runA51(unsigned char AtoBkeystream[]) {
- int i;
-
- /* Zero out the output buffers. */
- for (i = 0; i < 114; i++)
- AtoBkeystream[i] = 0;
-
-
- /* Generate 114 bits of keystream for the
- * A->B direction. Store it, MSB first. */
- for (i = 0; i < 114; i++) {
- clock(0, 0);
- AtoBkeystream[i] = getbit();
- }
-}
-
-
-/* Test the code by comparing it against
- * a known-good test vector. */
-void test() {
-#ifndef A5_2
- byte key[8] = {0x12, 0x23, 0x45, 0x67, 0x89, 0xAB, 0xCD, 0xEF};
- word frame = 0x134;
- byte goodAtoB[15] = { 0x53, 0x4E, 0xAA, 0x58, 0x2F, 0xE8, 0x15,
- 0x1A, 0xB6, 0xE1, 0x85, 0x5A, 0x72, 0x8C, 0x00
- };
- byte goodBtoA[15] = { 0x24, 0xFD, 0x35, 0xA3, 0x5D, 0x5F, 0xB6,
- 0x52, 0x6D, 0x32, 0xF9, 0x06, 0xDF, 0x1A, 0xC0
- };
-#else /* A5_2 */
- byte key[8] = {0x00, 0xfc, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff};
- word frame = 0x21;
- byte goodAtoB[15] = { 0xf4, 0x51, 0x2c, 0xac, 0x13, 0x59, 0x37,
- 0x64, 0x46, 0x0b, 0x72, 0x2d, 0xad, 0xd5, 0x00
- };
- byte goodBtoA[15] = { 0x48, 0x00, 0xd4, 0x32, 0x8e, 0x16, 0xa1,
- 0x4d, 0xcd, 0x7b, 0x97, 0x22, 0x26, 0x51, 0x00
- };
-#endif /* A5_2 */
- byte AtoB[15], BtoA[15];
- int i, failed = 0;
-
-
- keysetup(key, frame);
- run(AtoB, BtoA);
-
-
- /* Compare against the test vector. */
- for (i = 0; i < 15; i++)
- if (AtoB[i] != goodAtoB[i])
- failed = 1;
- for (i = 0; i < 15; i++)
- if (BtoA[i] != goodBtoA[i])
- failed = 1;
-
-
- /* Print some debugging output. */
- printf("key: 0x");
- for (i = 0; i < 8; i++)
- printf("%02X", key[i]);
- printf("\n");
- printf("frame number: 0x%06X\n", (unsigned int)frame);
- printf("known good output:\n");
- printf(" A->B: 0x");
- for (i = 0; i < 15; i++)
- printf("%02X", goodAtoB[i]);
- printf(" B->A: 0x");
- for (i = 0; i < 15; i++)
- printf("%02X", goodBtoA[i]);
- printf("\n");
- printf("observed output:\n");
- printf(" A->B: 0x");
- for (i = 0; i < 15; i++)
- printf("%02X", AtoB[i]);
- printf(" B->A: 0x");
- for (i = 0; i < 15; i++)
- printf("%02X", BtoA[i]);
- printf("\n");
-
-
- if (!failed) {
- printf("Self-check succeeded: everything looks ok.\n");
-// exit(0);
- } else {
- /* Problems! The test vectors didn't compare*/
- printf("\nI don't know why this broke; contact the authors.\n");
- }
-}
-
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