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soreatu/characteristics.py

Created August 10, 2020 08:52
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Scripts for `idiot box` in WMCTF2020
Raw
characteristics.py
import itertools
from binascii import hexlify, unhexlify
import Crypto.Random.random as random
from collections import Counter
from Crypto.Util.number import bytes_to_long, long_to_bytes, getRandomNBitInteger
sbox = [[11, 10, 1, 3, 8, 3, 14, 13, 0, 3, 9, 2, 4, 2, 11, 4, 6, 1, 6, 13, 6, 7, 7, 0, 10, 5, 4, 5, 9, 5, 10, 10, 6, 7, 15, 4, 7, 9, 15, 12, 1, 15, 14, 11, 14, 13, 1, 13, 8, 8, 9, 2, 12, 2, 0, 12, 8, 3, 0, 15, 11, 12, 5, 14], [0, 15, 2, 8, 3, 8, 12, 12, 9, 10, 14, 13, 4, 13, 14, 14, 2, 1, 15, 1, 1, 7, 3, 1, 10, 15, 6, 4, 6, 8, 5, 15, 4, 5, 7, 11, 7, 2, 5, 9, 11, 7, 11, 14, 6, 2, 11, 3, 12, 13, 9, 3, 9, 12, 4, 8, 10, 0, 5, 0, 0, 10, 6, 13], [5, 10, 3, 12, 3, 0, 6, 15, 13, 2, 0, 15, 8, 2, 3, 13, 9, 11, 0, 6, 14, 11, 2, 10, 1, 4, 12, 1, 7, 4, 7, 15, 5, 8, 7, 12, 5, 11, 0, 12, 14, 6, 9, 8, 14, 6, 9, 3, 4, 10, 1, 2, 10, 8, 7, 13, 15, 13, 4, 1, 5, 9, 14, 11], [4, 0, 7, 7, 7, 5, 4, 1, 10, 12, 11, 11, 11, 10, 15, 3, 12, 8, 3, 0, 2, 14, 14, 13, 2, 10, 6, 4, 6, 10, 2, 3, 14, 15, 8, 15, 9, 1, 11, 7, 5, 5, 6, 13, 6, 8, 0, 1, 3, 14, 0, 2, 9, 15, 8, 12, 1, 4, 9, 13, 9, 13, 5, 12], [
9, 10, 3, 4, 2, 10, 12, 4, 5, 12, 5, 11, 5, 9, 13, 10, 7, 11, 7, 11, 1, 3, 2, 3, 3, 7, 1, 5, 15, 13, 9, 7, 12, 8, 8, 15, 0, 6, 0, 14, 15, 8, 8, 1, 0, 1, 0, 10, 14, 2, 14, 9, 13, 11, 6, 12, 15, 13, 14, 6, 4, 6, 4, 2], [0, 8, 12, 15, 0, 8, 3, 6, 7, 15, 9, 9, 2, 15, 9, 9, 1, 12, 13, 10, 5, 10, 12, 14, 5, 7, 14, 6, 4, 7, 5, 2, 1, 6, 4, 12, 0, 1, 14, 4, 3, 13, 11, 7, 3, 6, 11, 10, 1, 14, 2, 13, 13, 8, 15, 11, 11, 0, 5, 10, 2, 4, 8, 3], [9, 15, 3, 1, 15, 1, 7, 15, 10, 4, 0, 1, 0, 0, 3, 6, 9, 10, 12, 3, 3, 1, 12, 7, 8, 5, 2, 14, 2, 9, 2, 14, 6, 12, 13, 10, 11, 13, 9, 8, 6, 8, 5, 4, 11, 8, 14, 4, 12, 7, 13, 2, 10, 7, 13, 14, 6, 5, 5, 11, 4, 0, 15, 11], [13, 3, 1, 7, 1, 12, 10, 3, 14, 12, 14, 7, 10, 15, 5, 0, 2, 4, 13, 4, 13, 0, 8, 9, 11, 9, 10, 15, 3, 9, 12, 9, 11, 2, 8, 6, 10, 14, 11, 6, 2, 0, 6, 15, 12, 15, 6, 14, 7, 4, 13, 11, 0, 4, 7, 3, 2, 5, 1, 1, 5, 8, 8, 5]]
pbox = [19, 14, 15, 3, 10, 25, 26, 20, 23, 24, 7, 2, 18, 6, 30,
29, 1, 4, 9, 8, 27, 5, 13, 0, 21, 16, 17, 22, 12, 31, 11, 28]
keys = []
pc_key = [2, 13, 16, 37, 34, 32, 21, 29, 15, 25, 44, 42, 18, 35, 5, 38, 39, 12, 30, 11, 7, 20,
17, 22, 14, 10, 26, 1, 33, 46, 45, 6, 40, 41, 43, 24, 9, 47, 4, 0, 19, 28, 27, 3, 31, 36, 8, 23]
def gen_key():
global keys
key = getRandomNBitInteger(49) & ((1 << 48) - 1)
key_bin = bin(key)[2:].rjust(48, '0')
for i in range(6):
key_bin = ''.join([key_bin[pc_key[j]] for j in range(48)])
sub_key = int(key_bin, 2)
keys.append(sub_key)
def s(x, i):
row = ((x & 0b100000) >> 4) + (x & 1)
col = (x & 0b011110) >> 1
return sbox[i][(row << 4) + col]
def p(x):
x_bin = [int(_) for _ in bin(x)[2:].rjust(32, '0')]
y_bin = [x_bin[pbox[i]] for i in range(32)]
y = int(''.join([str(_) for _ in y_bin]), 2)
return y
def e(x):
x_bin = bin(x)[2:].rjust(32, '0')
y_bin = ''
idx = -1
for i in range(8):
for j in range(idx, idx + 6):
y_bin += x_bin[j % 32]
idx += 4
return int(y_bin, 2)
def F(x, k):
x_in = bin(e(x) ^ k)[2:].rjust(48, '0')
y_out = ''
for i in range(0, 48, 6):
x_in_i = int(x_in[i:i+6], 2)
y_out += bin(s(x_in_i, i // 6))[2:].rjust(4, '0')
y_out = int(y_out, 2)
y = p(y_out)
return y
#--------------------------
def gen_diff_output(diff):
p1 = getRandomNBitInteger(32)
p2 = p1 ^ diff
k = getRandomNBitInteger(48)
c1, c2 = F(p1, k), F(p2, k)
return c1^c2, (p1,p2,c1,c2)
counter = Counter()
for i in range(10000):
P_ = 0x00000040
X_, _ = gen_diff_output(P_)
counter[X_] += 1
X_, freq = counter.most_common(1)[0]
print(hex(X_)[2:].rjust(8,'0'), freq / 10000)
# 0x00000002 -> 0x00000002 0.217
# 0x00000040 -> 0x00000000 0.2534
# 0x00000400 -> 0x00000000 0.251
# 0x00000000 -> 0x00000000 1
# 0x00002000 -> 0x00000000 0.25
# 0x00004000 -> 0x00000040 0.22
# 0x00020000 -> 0x00020000 0.18
Raw
get_data.py
import re
from json import dump
from tqdm import tqdm
from Crypto.Util.number import long_to_bytes, getRandomNBitInteger
from pwn import *
def gen_diff_input(diff):
p1 = getRandomNBitInteger(64)
p2 = p1 ^ diff
return p1, p2
r = remote("81.68.174.63", 34129)
# context.log_level = "debug"
rec = r.recvuntil(b"required").decode()
cipher_flag = re.findall(r"\n([0-9a-f]{80})\n", rec)[0]
print(cipher_flag)
r.recvline()
pairs = []
for i in tqdm(range(10000)):
p1, p2 = gen_diff_input(0x0000000000000040)
r.sendline(long_to_bytes(p1).hex().encode())
c1 = int(r.recvline(keepends=False), 16)
r.sendline(long_to_bytes(p2).hex().encode())
c2 = int(r.recvline(keepends=False), 16)
pairs.append(((p1,p2), (c1,c2)))
r.close()
dump([cipher_flag, pairs], open("data", "w"))
Raw
get_key.py
import itertools
from binascii import hexlify, unhexlify
import Crypto.Random.random as random
from collections import Counter
from Crypto.Util.number import bytes_to_long, long_to_bytes, getRandomNBitInteger
from json import load
from tqdm import tqdm
cipher_flag, pairs = load(open("data", "r"))
sbox = [[11, 10, 1, 3, 8, 3, 14, 13, 0, 3, 9, 2, 4, 2, 11, 4, 6, 1, 6, 13, 6, 7, 7, 0, 10, 5, 4, 5, 9, 5, 10, 10, 6, 7, 15, 4, 7, 9, 15, 12, 1, 15, 14, 11, 14, 13, 1, 13, 8, 8, 9, 2, 12, 2, 0, 12, 8, 3, 0, 15, 11, 12, 5, 14], [0, 15, 2, 8, 3, 8, 12, 12, 9, 10, 14, 13, 4, 13, 14, 14, 2, 1, 15, 1, 1, 7, 3, 1, 10, 15, 6, 4, 6, 8, 5, 15, 4, 5, 7, 11, 7, 2, 5, 9, 11, 7, 11, 14, 6, 2, 11, 3, 12, 13, 9, 3, 9, 12, 4, 8, 10, 0, 5, 0, 0, 10, 6, 13], [5, 10, 3, 12, 3, 0, 6, 15, 13, 2, 0, 15, 8, 2, 3, 13, 9, 11, 0, 6, 14, 11, 2, 10, 1, 4, 12, 1, 7, 4, 7, 15, 5, 8, 7, 12, 5, 11, 0, 12, 14, 6, 9, 8, 14, 6, 9, 3, 4, 10, 1, 2, 10, 8, 7, 13, 15, 13, 4, 1, 5, 9, 14, 11], [4, 0, 7, 7, 7, 5, 4, 1, 10, 12, 11, 11, 11, 10, 15, 3, 12, 8, 3, 0, 2, 14, 14, 13, 2, 10, 6, 4, 6, 10, 2, 3, 14, 15, 8, 15, 9, 1, 11, 7, 5, 5, 6, 13, 6, 8, 0, 1, 3, 14, 0, 2, 9, 15, 8, 12, 1, 4, 9, 13, 9, 13, 5, 12], [
9, 10, 3, 4, 2, 10, 12, 4, 5, 12, 5, 11, 5, 9, 13, 10, 7, 11, 7, 11, 1, 3, 2, 3, 3, 7, 1, 5, 15, 13, 9, 7, 12, 8, 8, 15, 0, 6, 0, 14, 15, 8, 8, 1, 0, 1, 0, 10, 14, 2, 14, 9, 13, 11, 6, 12, 15, 13, 14, 6, 4, 6, 4, 2], [0, 8, 12, 15, 0, 8, 3, 6, 7, 15, 9, 9, 2, 15, 9, 9, 1, 12, 13, 10, 5, 10, 12, 14, 5, 7, 14, 6, 4, 7, 5, 2, 1, 6, 4, 12, 0, 1, 14, 4, 3, 13, 11, 7, 3, 6, 11, 10, 1, 14, 2, 13, 13, 8, 15, 11, 11, 0, 5, 10, 2, 4, 8, 3], [9, 15, 3, 1, 15, 1, 7, 15, 10, 4, 0, 1, 0, 0, 3, 6, 9, 10, 12, 3, 3, 1, 12, 7, 8, 5, 2, 14, 2, 9, 2, 14, 6, 12, 13, 10, 11, 13, 9, 8, 6, 8, 5, 4, 11, 8, 14, 4, 12, 7, 13, 2, 10, 7, 13, 14, 6, 5, 5, 11, 4, 0, 15, 11], [13, 3, 1, 7, 1, 12, 10, 3, 14, 12, 14, 7, 10, 15, 5, 0, 2, 4, 13, 4, 13, 0, 8, 9, 11, 9, 10, 15, 3, 9, 12, 9, 11, 2, 8, 6, 10, 14, 11, 6, 2, 0, 6, 15, 12, 15, 6, 14, 7, 4, 13, 11, 0, 4, 7, 3, 2, 5, 1, 1, 5, 8, 8, 5]]
pbox = [19, 14, 15, 3, 10, 25, 26, 20, 23, 24, 7, 2, 18, 6, 30,
29, 1, 4, 9, 8, 27, 5, 13, 0, 21, 16, 17, 22, 12, 31, 11, 28]
keys = []
pc_key = [2, 13, 16, 37, 34, 32, 21, 29, 15, 25, 44, 42, 18, 35, 5, 38, 39, 12, 30, 11, 7, 20,
17, 22, 14, 10, 26, 1, 33, 46, 45, 6, 40, 41, 43, 24, 9, 47, 4, 0, 19, 28, 27, 3, 31, 36, 8, 23]
def gen_key():
global keys
keys = []
key = getRandomNBitInteger(49) & ((1 << 48) - 1)
key_bin = bin(key)[2:].rjust(48, '0')
for i in range(6):
key_bin = ''.join([key_bin[pc_key[j]] for j in range(48)])
sub_key = int(key_bin, 2)
keys.append(sub_key)
def inv_key(key):
inv_key = [0]*48
key_bin = bin(key)[2:].rjust(48, '0')
for j in range(48):
inv_key[pc_key[j]] = key_bin[j]
return int(''.join(inv_key), 2)
def inv_keys(k6):
keys = [0]*6
keys[-1] = k6
for i in range(4,-1,-1):
keys[i] = inv_key(keys[i+1])
return keys
def s(x, i):
row = ((x & 0b100000) >> 4) + (x & 1)
col = (x & 0b011110) >> 1
return sbox[i][(row << 4) + col]
def p(x):
x_bin = [int(_) for _ in bin(x)[2:].rjust(32, '0')]
y_bin = [x_bin[pbox[i]] for i in range(32)]
y = int(''.join([str(_) for _ in y_bin]), 2)
return y
def e(x):
x_bin = bin(x)[2:].rjust(32, '0')
y_bin = ''
idx = -1
for i in range(8):
for j in range(idx, idx + 6):
y_bin += x_bin[j % 32]
idx += 4
return int(y_bin, 2)
def F(x, k):
x_in = bin(e(x) ^ k)[2:].rjust(48, '0')
y_out = ''
for i in range(0, 48, 6):
x_in_i = int(x_in[i:i+6], 2)
y_out += bin(s(x_in_i, i // 6))[2:].rjust(4, '0')
y_out = int(y_out, 2)
y = p(y_out)
return y
def enc_block(x):
x_bin = bin(x)[2:].rjust(64, '0')
l, r = int(x_bin[:32], 2), int(x_bin[32:], 2)
for i in range(6):
l, r = r, l ^ F(r, keys[i])
y = (l + (r << 32)) & ((1 << 64) - 1)
return y
def enc(pt):
pad_len = (8 - len(pt) % 8) % 8
pt += b'\x00' * pad_len
ct = b''
for i in range(0, len(pt), 8):
ct_block = long_to_bytes(enc_block(bytes_to_long(pt[i:i+8]))).rjust(8, b'\x00')
ct += ct_block
return ct
#--------------------------
def inv_p(x):
x_bin = [int(_) for _ in bin(x)[2:].rjust(32, '0')]
y_bin = [0]*32
for i in range(32):
y_bin[pbox[i]] = x_bin[i]
y = int(''.join([str(_) for _ in y_bin]), 2)
return y
candidate_keys = [Counter() for _ in range(8)]
for _, cs in tqdm(pairs):
c1, c2 = cs
if c1 ^ c2 == 0x0000004000000000:
continue
l1, l2 = c1 >> 32, c2 >> 32
r1, r2 = c1 & 0xffffffff, c2 & 0xffffffff
# print(r1, r2)
F_ = l1^l2^0x00000040
F_ = inv_p(F_) # xor of the two outputs of sbox, 32bit
Ep1 = e(r1) # 48bit
Ep2 = e(r2) # 48bit
for i in range(8):
inp1 = (Ep1 >> (7-i)*6) & 0b111111 # 6bit
inp2 = (Ep2 >> (7-i)*6) & 0b111111 # 6bit
out_xor = (F_ >> (7-i)*4) & 0b1111 # 4bit
for key in range(64):
if s(inp1^key, i) ^ s(inp2^key, i) == out_xor:
candidate_keys[i][key] += 1
print(candidate_keys)
# ----------------------
key6 = []
for c in candidate_keys:
print(c.most_common(2))
key6.append(c.most_common(1)[0][0])
print(key6)
# key6 = [53, 44, 38, 7, 7, 30, 29, 52]
k6 = sum(key6[i]<<(7-i)*6 for i in range(8))
# k6 = 236161043654516
keys = inv_keys(k6)
print(keys)
ps, cs = pairs[0]
p1, c1 = ps[0], cs[0]
assert enc_block(p1) == c1
# Ok! key is right!
# To decrypt, reverse the keys.
keys = keys[::-1]
print(enc(bytes.fromhex(cipher_flag)))
# b'WMCTF{D1ff3r3nti@1_w1th_1di0t_B0X3s}\x00\x00\x00\x00'
Raw
server.py
import itertools
from binascii import hexlify, unhexlify
import Crypto.Random.random as random
from Crypto.Util.number import bytes_to_long, long_to_bytes, getRandomNBitInteger
# from secret import flag
banner = '''
__ __ _ _ __ ____ __ ____ _____ _____
\ \ / /__| | ___ ___ _ __ ___ ___ | |_ ___ \ \ / / \/ |/ ___|_ _| ___|
\ \ /\ / / _ \ |/ __/ _ \| '_ ` _ \ / _ \ | __/ _ \ \ \ /\ / /| |\/| | | | | | |
\ V V / __/ | (_| (_) | | | | | | __/ | || (_) | \ V V / | | | | |___ | | | _|
\_/\_/ \___|_|\___\___/|_| |_| |_|\___| \__\___/ \_/\_/ |_| |_|\____| |_| |_|
'''
sbox = [[11, 10, 1, 3, 8, 3, 14, 13, 0, 3, 9, 2, 4, 2, 11, 4, 6, 1, 6, 13, 6, 7, 7, 0, 10, 5, 4, 5, 9, 5, 10, 10, 6, 7, 15, 4, 7, 9, 15, 12, 1, 15, 14, 11, 14, 13, 1, 13, 8, 8, 9, 2, 12, 2, 0, 12, 8, 3, 0, 15, 11, 12, 5, 14], [0, 15, 2, 8, 3, 8, 12, 12, 9, 10, 14, 13, 4, 13, 14, 14, 2, 1, 15, 1, 1, 7, 3, 1, 10, 15, 6, 4, 6, 8, 5, 15, 4, 5, 7, 11, 7, 2, 5, 9, 11, 7, 11, 14, 6, 2, 11, 3, 12, 13, 9, 3, 9, 12, 4, 8, 10, 0, 5, 0, 0, 10, 6, 13], [5, 10, 3, 12, 3, 0, 6, 15, 13, 2, 0, 15, 8, 2, 3, 13, 9, 11, 0, 6, 14, 11, 2, 10, 1, 4, 12, 1, 7, 4, 7, 15, 5, 8, 7, 12, 5, 11, 0, 12, 14, 6, 9, 8, 14, 6, 9, 3, 4, 10, 1, 2, 10, 8, 7, 13, 15, 13, 4, 1, 5, 9, 14, 11], [4, 0, 7, 7, 7, 5, 4, 1, 10, 12, 11, 11, 11, 10, 15, 3, 12, 8, 3, 0, 2, 14, 14, 13, 2, 10, 6, 4, 6, 10, 2, 3, 14, 15, 8, 15, 9, 1, 11, 7, 5, 5, 6, 13, 6, 8, 0, 1, 3, 14, 0, 2, 9, 15, 8, 12, 1, 4, 9, 13, 9, 13, 5, 12], [
9, 10, 3, 4, 2, 10, 12, 4, 5, 12, 5, 11, 5, 9, 13, 10, 7, 11, 7, 11, 1, 3, 2, 3, 3, 7, 1, 5, 15, 13, 9, 7, 12, 8, 8, 15, 0, 6, 0, 14, 15, 8, 8, 1, 0, 1, 0, 10, 14, 2, 14, 9, 13, 11, 6, 12, 15, 13, 14, 6, 4, 6, 4, 2], [0, 8, 12, 15, 0, 8, 3, 6, 7, 15, 9, 9, 2, 15, 9, 9, 1, 12, 13, 10, 5, 10, 12, 14, 5, 7, 14, 6, 4, 7, 5, 2, 1, 6, 4, 12, 0, 1, 14, 4, 3, 13, 11, 7, 3, 6, 11, 10, 1, 14, 2, 13, 13, 8, 15, 11, 11, 0, 5, 10, 2, 4, 8, 3], [9, 15, 3, 1, 15, 1, 7, 15, 10, 4, 0, 1, 0, 0, 3, 6, 9, 10, 12, 3, 3, 1, 12, 7, 8, 5, 2, 14, 2, 9, 2, 14, 6, 12, 13, 10, 11, 13, 9, 8, 6, 8, 5, 4, 11, 8, 14, 4, 12, 7, 13, 2, 10, 7, 13, 14, 6, 5, 5, 11, 4, 0, 15, 11], [13, 3, 1, 7, 1, 12, 10, 3, 14, 12, 14, 7, 10, 15, 5, 0, 2, 4, 13, 4, 13, 0, 8, 9, 11, 9, 10, 15, 3, 9, 12, 9, 11, 2, 8, 6, 10, 14, 11, 6, 2, 0, 6, 15, 12, 15, 6, 14, 7, 4, 13, 11, 0, 4, 7, 3, 2, 5, 1, 1, 5, 8, 8, 5]]
pbox = [19, 14, 15, 3, 10, 25, 26, 20, 23, 24, 7, 2, 18, 6, 30,
29, 1, 4, 9, 8, 27, 5, 13, 0, 21, 16, 17, 22, 12, 31, 11, 28]
keys = []
pc_key = [2, 13, 16, 37, 34, 32, 21, 29, 15, 25, 44, 42, 18, 35, 5, 38, 39, 12, 30, 11, 7, 20,
17, 22, 14, 10, 26, 1, 33, 46, 45, 6, 40, 41, 43, 24, 9, 47, 4, 0, 19, 28, 27, 3, 31, 36, 8, 23]
def gen_key():
global keys
key = getRandomNBitInteger(49) & ((1 << 48) - 1)
key_bin = bin(key)[2:].rjust(48, '0')
for i in range(6):
key_bin = ''.join([key_bin[pc_key[j]] for j in range(48)])
sub_key = int(key_bin, 2)
keys.append(sub_key)
def s(x, i):
row = ((x & 0b100000) >> 4) + (x & 1)
col = (x & 0b011110) >> 1
return sbox[i][(row << 4) + col]
def p(x):
x_bin = [int(_) for _ in bin(x)[2:].rjust(32, '0')]
y_bin = [x_bin[pbox[i]] for i in range(32)]
y = int(''.join([str(_) for _ in y_bin]), 2)
return y
def e(x):
x_bin = bin(x)[2:].rjust(32, '0')
y_bin = ''
idx = -1
for i in range(8):
for j in range(idx, idx + 6):
y_bin += x_bin[j % 32]
idx += 4
print(y_bin)
return int(y_bin, 2)
def F(x, k):
x_in = bin(e(x) ^ k)[2:].rjust(48, '0')
y_out = ''
for i in range(0, 48, 6):
x_in_i = int(x_in[i:i+6], 2)
y_out += bin(s(x_in_i, i // 6))[2:].rjust(4, '0')
y_out = int(y_out, 2)
y = p(y_out)
return y
def enc_block(x):
x_bin = bin(x)[2:].rjust(64, '0')
l, r = int(x_bin[:32], 2), int(x_bin[32:], 2)
for i in range(6):
l, r = r, l ^ F(r, keys[i])
y = (l + (r << 32)) & ((1 << 64) - 1)
return y
def enc(pt):
pad_len = (8 - len(pt) % 8) % 8
pt += b'\x00' * pad_len
ct = b''
for i in range(0, len(pt), 8):
ct_block = long_to_bytes(enc_block(bytes_to_long(pt[i:i+8]))).rjust(8, b'\x00')
ct += ct_block
return ct
if __name__ == '__main__':
print(banner)
gen_key()
print(keys)
cipher = hexlify(enc(flag)).decode('utf8')
print('[++++++++++++++++] FLAG [++++++++++++++++]')
print(cipher)
print('[+] You have up to 65537 chances to obtain the ct corresponding to the pt your input(<= 64 bits and hex required).')
for i in range(65537):
pt = input()
try:
pt = unhexlify(pt)
assert(len(pt) <= 8)
ct = enc(pt)
print(hexlify(ct).decode('utf8'))
except:
print('[*] Read the above carefully!')
break
@CCCougar
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CCCougar commented Sep 8, 2021

six six six

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