Path: blob/main/MC/2. Implement GSM Security algorithms/A3_A8.py
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#COMP128 Algorithm Converted from C to Python.1# Original is from Marc Briceno, Ian Goldberg, and David Wagner.2# Original C can be found at the end of this file,3# including the error where key and rand are swapped4# in the main function.56s_table = [7[ 102,177,186,162, 2,156,112, 75, 55, 25, 8, 12,251,193,246,188,8109,213,151, 53, 42, 79,191,115,233,242,164,223,209,148,108,161,9252, 37,244, 47, 64,211, 6,237,185,160,139,113, 76,138, 59, 70,1067, 26, 13,157, 63,179,221, 30,214, 36,166, 69,152,124,207,116,11247,194, 41, 84, 71, 1, 49, 14, 95, 35,169, 21, 96, 78,215,225,12182,243, 28, 92,201,118, 4, 74,248,128, 17, 11,146,132,245, 48,13149, 90,120, 39, 87,230,106,232,175, 19,126,190,202,141,137,176,14250, 27,101, 40,219,227, 58, 20, 51,178, 98,216,140, 22, 32,121,1561,103,203, 72, 29,110, 85,212,180,204,150,183, 15, 66,172,196,1656,197,158, 0,100, 45,153, 7,144,222,163,167, 60,135,210,231,17174,165, 38,249,224, 34,220,229,217,208,241, 68,206,189,125,255,18239, 54,168, 89,123,122, 73,145,117,234,143, 99,129,200,192, 82,19104,170,136,235, 93, 81,205,173,236, 94,105, 52, 46,228,198, 5,2057,254, 97,155,142,133,199,171,187, 50, 65,181,127,107,147,226,21184,218,131, 33, 77, 86, 31, 44, 88, 62,238, 18, 24, 43,154, 23,2280,159,134,111, 9,114, 3, 91, 16,130, 83, 10,195,240,253,119,23177,102,162,186,156, 2, 75,112, 25, 55, 12, 8,193,251,188,246,24213,109, 53,151, 79, 42,115,191,242,233,223,164,148,209,161,108,2537,252, 47,244,211, 64,237, 6,160,185,113,139,138, 76, 70, 59,2626, 67,157, 13,179, 63, 30,221, 36,214, 69,166,124,152,116,207,27194,247, 84, 41, 1, 71, 14, 49, 35, 95, 21,169, 78, 96,225,215,28243,182, 92, 28,118,201, 74, 4,128,248, 11, 17,132,146, 48,245,2990,149, 39,120,230, 87,232,106, 19,175,190,126,141,202,176,137,3027,250, 40,101,227,219, 20, 58,178, 51,216, 98, 22,140,121, 32,31103, 61, 72,203,110, 29,212, 85,204,180,183,150, 66, 15,196,172,32197, 56, 0,158, 45,100, 7,153,222,144,167,163,135, 60,231,210,33165,174,249, 38, 34,224,229,220,208,217, 68,241,189,206,255,125,3454,239, 89,168,122,123,145, 73,234,117, 99,143,200,129, 82,192,35170,104,235,136, 81, 93,173,205, 94,236, 52,105,228, 46, 5,198,36254, 57,155, 97,133,142,171,199, 50,187,181, 65,107,127,226,147,37218,184, 33,131, 86, 77, 44, 31, 62, 88, 18,238, 43, 24, 23,154,38159, 80,111,134,114, 9, 91, 3,130, 16, 10, 83,240,195,119,25339] ,40[4119, 11, 80,114, 43, 1, 69, 94, 39, 18,127,117, 97, 3, 85, 43,4227,124, 70, 83, 47, 71, 63, 10, 47, 89, 79, 4, 14, 59, 11, 5,4335,107,103, 68, 21, 86, 36, 91, 85,126, 32, 50,109, 94,120, 6,4453, 79, 28, 45, 99, 95, 41, 34, 88, 68, 93, 55,110,125,105, 20,4590, 80, 76, 96, 23, 60, 89, 64,121, 56, 14, 74,101, 8, 19, 78,4676, 66,104, 46,111, 50, 32, 3, 39, 0, 58, 25, 92, 22, 18, 51,4757, 65,119,116, 22,109, 7, 86, 59, 93, 62,110, 78, 99, 77, 67,4812,113, 87, 98,102, 5, 88, 33, 38, 56, 23, 8, 75, 45, 13, 75,4995, 63, 28, 49,123,120, 20,112, 44, 30, 15, 98,106, 2,103, 29,5082,107, 42,124, 24, 30, 41, 16,108,100,117, 40, 73, 40, 7,114,5182,115, 36,112, 12,102,100, 84, 92, 48, 72, 97, 9, 54, 55, 74,52113,123, 17, 26, 53, 58, 4, 9, 69,122, 21,118, 42, 60, 27, 73,53118,125, 34, 15, 65,115, 84, 64, 62, 81, 70, 1, 24,111,121, 83,54104, 81, 49,127, 48,105, 31, 10, 6, 91, 87, 37, 16, 54,116,126,5531, 38, 13, 0, 72,106, 77, 61, 26, 67, 46, 29, 96, 37, 61, 52,56101, 17, 44,108, 71, 52, 66, 57, 33, 51, 25, 90, 2,119,122, 3557],58[5952, 50, 44, 6, 21, 49, 41, 59, 39, 51, 25, 32, 51, 47, 52, 43,6037, 4, 40, 34, 61, 12, 28, 4, 58, 23, 8, 15, 12, 22, 9, 18,6155, 10, 33, 35, 50, 1, 43, 3, 57, 13, 62, 14, 7, 42, 44, 59,6262, 57, 27, 6, 8, 31, 26, 54, 41, 22, 45, 20, 39, 3, 16, 56,6348, 2, 21, 28, 36, 42, 60, 33, 34, 18, 0, 11, 24, 10, 17, 61,6429, 14, 45, 26, 55, 46, 11, 17, 54, 46, 9, 24, 30, 60, 32, 0,6520, 38, 2, 30, 58, 35, 1, 16, 56, 40, 23, 48, 13, 19, 19, 27,6631, 53, 47, 38, 63, 15, 49, 5, 37, 53, 25, 36, 63, 29, 5, 767],68[691, 5, 29, 6, 25, 1, 18, 23, 17, 19, 0, 9, 24, 25, 6, 31,7028, 20, 24, 30, 4, 27, 3, 13, 15, 16, 14, 18, 4, 3, 8, 9,7120, 0, 12, 26, 21, 8, 28, 2, 29, 2, 15, 7, 11, 22, 14, 10,7217, 21, 12, 30, 26, 27, 16, 31, 11, 7, 13, 23, 10, 5, 22, 1973],74[7515, 12, 10, 4, 1, 14, 11, 7, 5, 0, 14, 7, 1, 2, 13, 8,7610, 3, 4, 9, 6, 0, 3, 2, 5, 6, 8, 9, 11, 13, 15, 1277]78]7980def comp128(rand, key) :81#Byte x[32], bit[128];82x = [0]*3283bit = [0]*12884simoutput = [0]*128586#/* ( Load RAND into last 16 bytes of input ) */87for i in range(16,32) :88x[i] = rand[i-16];8990#/* ( Loop eight times ) */91for i in range (1,9) :92#/* ( Load key into first 16 bytes of input ) */93for j in range(0,16) :94x[j] = key[j]95#/* ( Perform substitutions ) */96for j in range(0,5) :97for k in range(0,1<<j) :98for l in range(0, 1<<(4-j)) :99m = l + k*(1<<(5-j))100n = m + (1<<(4-j))101y = (x[m]+2*x[n]) % (1<<(9-j))102z = (2*x[m]+x[n]) % (1<<(9-j))103x[m] = s_table[j][y]104x[n] = s_table[j][z]105#/* ( Form bits from bytes ) */106for j in range(0,32) :107for k in range(0,4) :108bit[4*j+k] = (x[j]>>(3-k)) & 1109#/* ( Permutation but not on the last loop ) */110if (i < 8) :111for j in range(0,16) :112x[j+16] = 0113for k in range(0,8) :114next_bit = ((8*j + k)*17) % 128115x[j+16] |= bit[next_bit] << (7-k)116117#/*118# * ( At this stage the vector x[] consists of 32 nibbles.119# * The first 8 of these are taken as the output SRES. )120# */121122#/* The remainder of the code is not given explicitly in the123# * standard, but was derived by reverse-engineering.124# */125126for i in range(0,4) :127simoutput[i] = (x[2*i]<<4) | x[2*i+1]128for i in range(0,6) :129simoutput[4+i] = (x[2*i+18]<<6) | (x[2*i+18+1]<<2) | (x[2*i+18+2]>>2)130simoutput[4+6] = (x[2*6+18]<<6) | (x[2*6+18+1]<<2)131simoutput[4+7] = 0132133#simoutput can be larger than a byte so truncate134simoutput = [0xFF & _ for _ in simoutput]135return simoutput136137138#Test139140key = "0x048BC1EA93B0F82733D67C19267C91D6"141rand1 = "0x1D000000000000009900000000000000"142rand2 = "0x3E00000000000000C100000000000000"143144#Compare with Original C version145import subprocess146147def callOriginal(r, k) :148sout = ""149proc = subprocess.Popen(["./main", r, k], stdout=subprocess.PIPE)150try:151sout, serr = proc.communicate(timeout=5) #5 seconds should be good?152except TimeoutExpired:153proc.kill() #kill the process154sout, serr = proc.communicate()155print("Process Killed")156print("stdout")157print(sout)158print("stderr")159print(serr)160return sout161162oout1 = callOriginal(rand1, key)163oout2 = callOriginal(rand2, key)164165166key_ia = [int(_) for _ in bytearray.fromhex(key[2:])]167rand1_ia = [int(_) for _ in bytearray.fromhex(rand1[2:])]168rand2_ia = [int(_) for _ in bytearray.fromhex(rand2[2:])]169out1 = comp128(rand1_ia, key_ia)170out2 = comp128(rand2_ia, key_ia)171172key_hex = [format(_, "02X") for _ in key_ia]173rand1_hex = [format(_, "02X") for _ in rand1_ia]174rand2_hex = [format(_, "02X") for _ in rand2_ia]175out1_hex = [format(_, "02X") for _ in out1]176out2_hex = [format(_, "02X") for _ in out2]177key_str = "".join(key_hex)178rand1_str = "".join(rand1_hex)179rand2_str = "".join(rand2_hex)180out1_str = "".join(out1_hex)181out2_str = "".join(out2_hex)182183print ("Output from original program")184print ("A3A8(%s,%s) = %s" % (rand1_str, key_str, (oout1.decode("ascii")))) #Print it out as ascii185print ("A3A8(%s,%s) = %s" % (rand2_str, key_str, (oout2.decode("ascii")))) #Print it out as ascii186187print ("Output from this script")188print ("A3A8(%s,%s) = %s" % (rand1_str, key_str, out1_str))189print ("A3A8(%s,%s) = %s" % (rand2_str, key_str, out1_str))190191192193194195196197198