Tags: aes padding-oracle 

Rating: 4.0

## Neo (Crypto, 200p)

###ENG
[PL](#pl-version)

The task shows a webpage with Neo going to Oracle.
There is a html form with some base64 encoded data.
Decoding gives some random 80 bytes blob.
Once every few seconds the data changes, most likely there is embedded timestamp.
If we provide our own base64 data in the form the page says that `AES decryption failed`.
This all points to `Padding Oracle Attack` - vulnerability which allows us to decode n-1 blocks of block cipher ciphertext in CBC mode.

In CBC mode the plaintext is XORed with previous block ciphertext.
This means that a change in a single byte of ciphertext will cause all bytes on corresponding positions in next blocks to be decrypted incorrectly, since they will be XORed with a wrong value.
What we want to achieve in the attack is to exploit how decryption handles padding.
In PKCS7 padding the last byte of decrypted data defines padding.
It's a number which says how many padding bytes there are and also what value each of them holds.
For example if there is 3 byte padding the 16 byte block would be `XXXXXXXXXXXXX0x30x030x3`.

If the padding is not formed correctly we will get decryption error, since it means the data were tamered with.
What we want to achieve with our attack is to try to guess the plaintext byte by attempting to "transform" it into padding.

Let's assume we have 2 blocks of ciphertext.
If we change the last byte of the first block this value will be XORed with decrypted last byte of the second block.
We changed it so it won't get the "proper" value anymore, so the padding will be broken for sure... unless the value will become `0x1`, which is a correct padding indicator!
If the value became `0x1` this means that `our_changed_byte XOR decrypted_byte = 0x1` and this means that `decrypted_byte = our_changed_byte XOR 0x1`!

So if for a certain value we won't get decryption error this means we successfully decoded the last byte of ciphertext.

Now we can extend this to more bytes - to recover the byte `k-1` we need to change the last byte to `0x2` and if we find the byte with no error in decryption it means that the xored value is also `0x2`.

This of course won't let us recover the first block, but this can't be helped, unless some special conditions are met.
In some cases the IV is placed as the first block of plaintext before encryption, and if this is the case, we could recover the IV as well.
In our case we had no knowledge of the way IV was handled, and if the IV is needed for us or not.
We assumed we don't need it and it turned out to be the right guess.

The attack implementation in python (we used https://github.com/mpgn/Padding-oracle-attack/blob/master/exploit.py as template)

```python
import base64
import re
import urllib
import urllib2
import sys
from binascii import hexlify, unhexlify
from itertools import cycle

# most of the code comes from https://github.com/mpgn/Padding-oracle-attack/blob/master/exploit.py
'''
Padding Oracle Attack implementation of this article https://not.burntout.org/blog/Padding_Oracle_Attack/
Check the readme for a full cryptographic explanation
Author: mpgn <[email protected]>
Date: 2016
'''

def oracle(data):
url = "http://crypto.chal.csaw.io:8001/"
bytes_data = long_to_bytes(int(data, 16))
values = {'matrix-id': base64.b64encode(bytes_data)}
data = urllib.urlencode(values)
req = urllib2.Request(url, data)
response = urllib2.urlopen(req)
the_page = response.read()
if "exception" in the_page:
return False
else:
return True

def split_len(seq, length):
return [seq[i:i + length] for i in range(0, len(seq), length)]

''' create custom block for the byte we search'''

def block_search_byte(size_block, i, pos, l):
hex_char = hex(pos).split('0x')[1]
return "00" * (size_block - (i + 1)) + ("0" if len(hex_char) % 2 != 0 else '') + hex_char + ''.join(l)

''' create custom block for the padding'''

def block_padding(size_block, i):
l = []
for t in range(0, i + 1):
l.append(("0" if len(hex(i + 1).split('0x')[1]) % 2 != 0 else '') + (hex(i + 1).split('0x')[1]))
return "00" * (size_block - (i + 1)) + ''.join(l)

def hex_xor(s1, s2):
return hexlify(''.join(chr(ord(c1) ^ ord(c2)) for c1, c2 in zip(unhexlify(s1), cycle(unhexlify(s2)))))

def run(ciphertext, size_block):
ciphertext = ciphertext.upper()
found = False
valid_value = []
result = []
len_block = size_block * 2
cipher_block = split_len(ciphertext, len_block)
if len(cipher_block) == 1:
print "[-] Abort there is only one block"
sys.exit()
for block in reversed(range(1, len(cipher_block))):
if len(cipher_block[block]) != len_block:
print "[-] Abort length block doesn't match the size_block"
break
print "[+] Search value block : ", block, "\n"
for i in range(0, size_block):
for ct_pos in range(0, 256):
if ct_pos != i + 1 or (
len(valid_value) > 0 and int(valid_value[len(valid_value) - 1], 16) == ct_pos):
bk = block_search_byte(size_block, i, ct_pos, valid_value)
bp = cipher_block[block - 1]
bc = block_padding(size_block, i)
tmp = hex_xor(bk, bp)
cb = hex_xor(tmp, bc).upper()
up_cipher = cb + cipher_block[block]
response = oracle(up_cipher)
exe = re.findall('..', cb)
discover = ''.join(exe[size_block - i:size_block])
current = ''.join(exe[size_block - i - 1:size_block - i])
find_me = ''.join(exe[:-i - 1])
sys.stdout.write(
"\r[+] Test [Byte %03i/256 - Block %d ]: \033[31m%s\033[33m%s\033[36m%s\033[0m" % (
ct_pos, block, find_me, current, discover))
sys.stdout.flush()
if response:
found = True
value = re.findall('..', bk)
valid_value.insert(0, value[size_block - (i + 1)])
print ''
print "[+] Block M_Byte : %s" % bk
print "[+] Block C_{i-1}: %s" % bp
print "[+] Block Padding: %s" % bc
print ''
bytes_found = ''.join(valid_value)
print '\033[36m' + '\033[1m' + "[+]" + '\033[0m' + " Found", i + 1, "bytes :", bytes_found
print ''
break
if not found:
print "\n[-] Error decryption failed"
result.insert(0, ''.join(valid_value))
hex_r = ''.join(result)
print "[+] Partial Decrypted value (HEX):", hex_r.upper()
padding = int(hex_r[len(hex_r) - 2:len(hex_r)], 16)
print "[+] Partial Decrypted value (ASCII):", hex_r[0:-(padding * 2)].decode("hex")
sys.exit()
found = False
result.insert(0, ''.join(valid_value))
valid_value = []
print ''
hex_r = ''.join(result)
print "[+] Decrypted value (HEX):", hex_r.upper()
padding = int(hex_r[len(hex_r) - 2:len(hex_r)], 16)
print "[+] Decrypted value (ASCII):", hex_r[0:-(padding * 2)].decode("hex")

def long_to_bytes(flag):
flag = str(hex(flag))[2:-1]
return "".join([chr(int(flag[i:i + 2], 16)) for i in range(0, len(flag), 2)])

def bytes_to_long(data):
return int(data.encode('hex'), 16)

ct = base64.b64decode(
"9aMTHPS1oP9VQA9Hxz5mGSIRuOVSspcQrGJlBYUoZIUhmur9X1B8hJJFeR48trScLtToNPCeWZiSz4Qit3KvsHlv0Xqy8rHREJUvYNbff1I=")
hexlified = bytes_to_long(ct)
run(hex(hexlified)[2:-1], 16)
```

Which gave us the flag in decrypted blocks: flag{what_if_i_told_you_you_solved_the_challenge}

###PL version

W zadaniu mamy stronę internetową z Neo idącym do Wyroczni.
Jest tam formularz html z ciągiem znaków base64.
Dekodowanie daje nam 80 losowych bajtów.
Co kilka sekund dane ulegają zmianie, co sugeruje jakiś timestamp.
Jeśli podamy własny ciąg base64 strona odpowiada `AES decryption failed`.
Wszystko wskazuje na `Padding Oracle Attack` - podatność która pozwala odzyskać n-1 bloków szyfrogramu dla szyfru blokowego w trybie CBC.

W trybie CBC tekst przed szyfrowaniem jest XORowany z zaszyfrowanym blokiem poprzednim.
To oznacza że zmiana jednego bajtu szyfrogramu spowoduje że wszystkie bajty na odpowiadającej pozycji w kolejnych blokach będą źle zdekodowane, ponieważ zostaną XORowane z inną wartością niż powinny.
W naszym ataku chcemy wykorzystać to w jaki sposób deszyfrowanie wykorzystuje padding.
W paddingu PKCS7 ostatni bajt zawsze określa parametry wypełnienia.
To liczba która mówi ile bajtów paddingu mamy oraz jaką wartość powinien przyjmować każdy z tych bajtów.
Na przykład jeśli mamy 3 bajty paddingu w 16 bajtowym bloku to blok przyjmuje postać `XXXXXXXXXXXXX0x30x030x3`.

Jeśli padding nie ma poprawnej formy dostaniemy błąd deszyfrowania, ponieważ to oznacza że dane zostały uszkodzone/podmienione.
W naszym ataku chcemy zgadnać bajt plaintextu poprzez zamienienie go w padding.

Załóżmy że mamy 2 bloki szyfrogramu.
Jeśli zmienimy ostatni bajt pierwszego bloku to ta wartość zostanie XORowana z odszyfrowanym ostatnim bajtem drugiego bloku.
Ponieważ zmieniliśmy wartość na inną to ostatni bajt na pewno nie będzie miał już wartości "poprawnej" więc padding będzie zepsutu... chyba że przypadkiem uzyskamy wartość `0x1`, która jest poprawnym paddingiem!
Jeśli wartość stała się teraz `0x1` to znaczy że `nasz_zmieniony_bajt XOR odszyfrowany_bajt = 0x1` z czego wynika że `odszyfrowany_bajt = nasz_zmieniony_bajt XOR 0x1`!

Więc jeśli dla jakiejś wartości nie wystąpi błąd deszyfrowania to znaczy że właśnie odkodowaliśmy ostatni bajt szyfrogramu.

Możemy to teraz rozszerzyć na więcej bajtów - aby odzyskać teraz bajt `k-1` potrzebujemy aby ostatni bajt przyjął wartość `0x2` (możemy to zrobić bo znamy już wartość ostatniego bajtu) i jeśli znajdziemy teraz bajt na pozycji k-1 dla którego nie wystąpi błąd deszyfrowania to znaczy że wartość po XORowaniu wynosi teraz `0x2`.

To oczywiście nie pozwoli nam odzyskać pierwszego bloku, ale z tym nic nie zrobimy, chyba że mamy do czynienia z pewną szczególną sytuacją, kiedy IV jest dodane jako pierwszy blok plaintextu.
W takiej sytuacji jesteśmy w stanie odzyskać także IV.
W naszym przypadku nie wiedzieliśmy nic na temat IV ani czy jest nam on do czegoś potrzebny, w związku z czym założyliśmy że nie i okazało się to być założeniem poprawnym.

Atak zaimplementowaliśmy w pythonie (korzystając z https://github.com/mpgn/Padding-oracle-attack/blob/master/exploit.py jako szablonu)

```python
import base64
import re
import urllib
import urllib2
import sys
from binascii import hexlify, unhexlify
from itertools import cycle

# most of the code comes from https://github.com/mpgn/Padding-oracle-attack/blob/master/exploit.py
'''
Padding Oracle Attack implementation of this article https://not.burntout.org/blog/Padding_Oracle_Attack/
Check the readme for a full cryptographic explanation
Author: mpgn <[email protected]>
Date: 2016
'''

def oracle(data):
url = "http://crypto.chal.csaw.io:8001/"
bytes_data = long_to_bytes(int(data, 16))
values = {'matrix-id': base64.b64encode(bytes_data)}
data = urllib.urlencode(values)
req = urllib2.Request(url, data)
response = urllib2.urlopen(req)
the_page = response.read()
if "exception" in the_page:
return False
else:
return True

def split_len(seq, length):
return [seq[i:i + length] for i in range(0, len(seq), length)]

''' create custom block for the byte we search'''

def block_search_byte(size_block, i, pos, l):
hex_char = hex(pos).split('0x')[1]
return "00" * (size_block - (i + 1)) + ("0" if len(hex_char) % 2 != 0 else '') + hex_char + ''.join(l)

''' create custom block for the padding'''

def block_padding(size_block, i):
l = []
for t in range(0, i + 1):
l.append(("0" if len(hex(i + 1).split('0x')[1]) % 2 != 0 else '') + (hex(i + 1).split('0x')[1]))
return "00" * (size_block - (i + 1)) + ''.join(l)

def hex_xor(s1, s2):
return hexlify(''.join(chr(ord(c1) ^ ord(c2)) for c1, c2 in zip(unhexlify(s1), cycle(unhexlify(s2)))))

def run(ciphertext, size_block):
ciphertext = ciphertext.upper()
found = False
valid_value = []
result = []
len_block = size_block * 2
cipher_block = split_len(ciphertext, len_block)
if len(cipher_block) == 1:
print "[-] Abort there is only one block"
sys.exit()
for block in reversed(range(1, len(cipher_block))):
if len(cipher_block[block]) != len_block:
print "[-] Abort length block doesn't match the size_block"
break
print "[+] Search value block : ", block, "\n"
for i in range(0, size_block):
for ct_pos in range(0, 256):
if ct_pos != i + 1 or (
len(valid_value) > 0 and int(valid_value[len(valid_value) - 1], 16) == ct_pos):
bk = block_search_byte(size_block, i, ct_pos, valid_value)
bp = cipher_block[block - 1]
bc = block_padding(size_block, i)
tmp = hex_xor(bk, bp)
cb = hex_xor(tmp, bc).upper()
up_cipher = cb + cipher_block[block]
response = oracle(up_cipher)
exe = re.findall('..', cb)
discover = ''.join(exe[size_block - i:size_block])
current = ''.join(exe[size_block - i - 1:size_block - i])
find_me = ''.join(exe[:-i - 1])
sys.stdout.write(
"\r[+] Test [Byte %03i/256 - Block %d ]: \033[31m%s\033[33m%s\033[36m%s\033[0m" % (
ct_pos, block, find_me, current, discover))
sys.stdout.flush()
if response:
found = True
value = re.findall('..', bk)
valid_value.insert(0, value[size_block - (i + 1)])
print ''
print "[+] Block M_Byte : %s" % bk
print "[+] Block C_{i-1}: %s" % bp
print "[+] Block Padding: %s" % bc
print ''
bytes_found = ''.join(valid_value)
print '\033[36m' + '\033[1m' + "[+]" + '\033[0m' + " Found", i + 1, "bytes :", bytes_found
print ''
break
if not found:
print "\n[-] Error decryption failed"
result.insert(0, ''.join(valid_value))
hex_r = ''.join(result)
print "[+] Partial Decrypted value (HEX):", hex_r.upper()
padding = int(hex_r[len(hex_r) - 2:len(hex_r)], 16)
print "[+] Partial Decrypted value (ASCII):", hex_r[0:-(padding * 2)].decode("hex")
sys.exit()
found = False
result.insert(0, ''.join(valid_value))
valid_value = []
print ''
hex_r = ''.join(result)
print "[+] Decrypted value (HEX):", hex_r.upper()
padding = int(hex_r[len(hex_r) - 2:len(hex_r)], 16)
print "[+] Decrypted value (ASCII):", hex_r[0:-(padding * 2)].decode("hex")

def long_to_bytes(flag):
flag = str(hex(flag))[2:-1]
return "".join([chr(int(flag[i:i + 2], 16)) for i in range(0, len(flag), 2)])

def bytes_to_long(data):
return int(data.encode('hex'), 16)

ct = base64.b64decode(
"9aMTHPS1oP9VQA9Hxz5mGSIRuOVSspcQrGJlBYUoZIUhmur9X1B8hJJFeR48trScLtToNPCeWZiSz4Qit3KvsHlv0Xqy8rHREJUvYNbff1I=")
hexlified = bytes_to_long(ct)
run(hex(hexlified)[2:-1], 16)
```

Co dało nam flagę w odszyfrowanych blokach: flag{what_if_i_told_you_you_solved_the_challenge}

Original writeup (https://github.com/p4-team/ctf/tree/master/2016-09-16-csaw/neo).