https://github.com/Cryptanalyse/writeups/tree/master/2020-insomnihack-teaser/crypto-OutOfTheSbox
http://blog.tihmstar.net/2020/01/writeup-out-of-sbox-insomnihack-teaser.html
50000個の plaintext - ciphertext pairが与えられるので、keyを当てればよいということがわかる。differential/linear cryptoanalysisっぽい
#!/usr/bin/python3 from binascii import hexlify from hashlib import md5 from os import urandom from random import randint from re import search from time import sleep, time from des import * WELCOME = 'Brace yourself, your favorite oracle has a challenge for you...' TASK = 'Can you recover the key?' WRONG = 'Looks like you can\'t... :(' def pow(): # Generate PoW target = hexlify(urandom(3)).decode() print(f'POW: Give me an input whose md5sum starts with "{target}"', flush=True) # Veriy PoW m = md5() m.update(input().encode()) h = m.hexdigest() return h:6 == target def welcome(): # Welcome client print(WELCOME, flush=True) sleep(randint(0, 3)) def challenge(): # Generate challenge key = int.from_bytes(urandom(6), 'big') keys = key_schedule(key) data = [] for i in range(50000): plaintext = int.from_bytes(urandom(8), 'big') ciphertext = enc(plaintext, keys, sboxs, perms) data.append((plaintext, ciphertext)) # Validate data inv_keys = reorder_keys(keys) inv_perms = reorder_perms(perms) inv_sboxs = reorder_sboxs(sboxs) for p, c in data: assert(p == enc(c, inv_keys, inv_sboxs, inv_perms)) # Print challenge print(str(data) + '\n', flush=True) return key def reward(start, key): # Wait for response print(TASK, flush=True) response = input() # Verify response if time() - start < 1337 and \ len(response.strip()) == 12 and \ search(r'(0-9A-F{12})', response) and \ int(response, 16) == key: reward = ''.join(open('/home/ctf/flag.txt', 'r').readlines()) print(reward, flush=True) else: print(WRONG, flush=True) if __name__ == '__main__': if pow(): start = time() welcome() key = challenge() reward(start, key)
import numpy as np from params import * N = 256 ROUNDS = 7 def key_schedule(key): keys = [] for i in range(ROUNDS): left = (key >> (16*((i+1) % 3))) & 0x0000FFFF; right = (key >> (16*(i%3))) & 0x0000FFFF; keys.append((left << 16) | right); return keys def reorder_keys(keys): inv = list(keys) inv.reverse() return inv def reorder_perms(perms): inv = list(perms) inv.reverse() return inv def reorder_sboxs(sboxs): inv = np.zeros((ROUNDS, 4, N)) for i in range(ROUNDS): for j in range(4): invROUNDS - 1 - i,j = sboxsi,j,: return inv def apply_perm32(perm, x): out = 0 for i in range(32): out |= ((x & (0x00000001 << i)) >> i) << (permi) return out def fbox(x, key, sboxs, perm): tmp = x ^ key tmp = int(sboxs0, 0x000000FF & tmp) | int(sboxs1, (0x0000FF00 & tmp) >> 8) << 8 | int(sboxs2, (0x00FF0000 & tmp) >> 16) << 16 | int(sboxs3, (0xFF000000 & tmp) >> 24) << 24 out = apply_perm32(perm, tmp); return out; def enc(plaintext, keys, sboxs, perms): A = plaintext & 0xFFFFFFFF B = plaintext >> 32 for i in range(ROUNDS): y = fbox(A, keysi, sboxsi, permsi) tmp = B ^ y B = A A = tmp return A << 32 | B
どう見てもDES. ブロック長64bit、鍵長32bit（master keyは48bitあり、そこから7個の32bit keyを生成している）、ラウンド数7。256要素のs-boxが4個あるっぽい？
鍵生成は次のような感じ：
master key: k0 || k1 || k2 || k3 || k4 || k5 があって、
key1 = k2 || k3 || k4 || k5
key2 = k0 || k1 || k2 || k3
key3 = k4 || k5 || k0 || k1
key4 = key1
...
solution
key1 は32bitしかないので、ぎりぎり全探索の範囲内。ということで、これを全探索する。するとなんだかよくわからないがk0, k1が決定的に定められるらしい。よくわからん
import numpy as np perms = [ 0x08, 0x09, 0x0A, 0x0B, 0x0C, 0x0D, 0x0E, 0x0F, 0x10, 0x11, 0x12, 0x13, 0x14, 0x15, 0x16, 0x17, 0x18, 0x19, 0x1A, 0x1B, 0x1C, 0x1D, 0x1E, 0x1F, 0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07, 0x08, 0x09, 0x0A, 0x0B, 0x0C, 0x0D, 0x0E, 0x0F, 0x10, 0x11, 0x12, 0x13, 0x14, 0x15, 0x16, 0x17, 0x18, 0x19, 0x1A, 0x1B, 0x1C, 0x1D, 0x1E, 0x1F, 0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07, 0x08, 0x09, 0x0A, 0x0B, 0x0C, 0x0D, 0x0E, 0x0F, 0x10, 0x11, 0x12, 0x13, 0x14, 0x15, 0x16, 0x17, 0x18, 0x19, 0x1A, 0x1B, 0x1C, 0x1D, 0x1E, 0x1F, 0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07, 0x08, 0x09, 0x0A, 0x0B, 0x0C, 0x0D, 0x0E, 0x0F, 0x10, 0x11, 0x12, 0x13, 0x14, 0x15, 0x16, 0x17, 0x18, 0x19, 0x1A, 0x1B, 0x1C, 0x1D, 0x1E, 0x1F, 0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07, 0x08, 0x09, 0x0A, 0x0B, 0x0C, 0x0D, 0x0E, 0x0F, 0x10, 0x11, 0x12, 0x13, 0x14, 0x15, 0x16, 0x17, 0x18, 0x19, 0x1A, 0x1B, 0x1C, 0x1D, 0x1E, 0x1F, 0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07, 0x08, 0x09, 0x0A, 0x0B, 0x0C, 0x0D, 0x0E, 0x0F, 0x10, 0x11, 0x12, 0x13, 0x14, 0x15, 0x16, 0x17, 0x18, 0x19, 0x1A, 0x1B, 0x1C, 0x1D, 0x1E, 0x1F, 0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07, 0x08, 0x09, 0x0A, 0x0B, 0x0C, 0x0D, 0x0E, 0x0F, 0x10, 0x11, 0x12, 0x13, 0x14, 0x15, 0x16, 0x17, 0x18, 0x19, 0x1A, 0x1B, 0x1C, 0x1D, 0x1E, 0x1F, 0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07, ] sboxs = np.array([ [ 0x63, 0x7c, 0x77, 0x7b, 0x43, 0x6b, 0x6f, 0x1e, 0x30, 0x4d, 0x40, 0x2b, 0xa2, 0xd7, 0x14, 0x76, 0xca, 0x82, 0xc9, 0x7d, 0xfa, 0x59, 0xff, 0xf0, 0xad, 0x4e, 0xfe, 0xaf, 0x9c, 0xf6, 0x72, 0xc0, 0xb7, 0xfd, 0xe4, 0x8f, 0x36, 0x3f, 0xf7, 0xcc, 0x34, 0xa5, 0xe6, 0xf1, 0x71, 0xf9, 0xd0, 0xea, 0x4, 0xc7, 0x38, 0xc3, 0x18, 0x96, 0x5, 0x49, 0x7, 0x12, 0x80, 0xe2, 0xeb, 0x9e, 0xb2, 0x75, 0x9, 0x46, 0x2c, 0x1a, 0x1b, 0x6e, 0x65, 0xa0, 0x52, 0x3b, 0xd6, 0xb3, 0x29, 0xe3, 0x2f, 0x84, 0x53, 0xd1, 0x0, 0xed, 0x20, 0xfc, 0xb1, 0x5b, 0x6a, 0xcb, 0xbe, 0x39, 0x4a, 0x4c, 0x58, 0xcf, 0x31, 0xef, 0xaa, 0xfb, 0xf2, 0x1, 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