Crypto Cheatsheet for CTFs
A useful cryptography cheatsheet
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Cryptography challenges are one of the most common categories in Capture the Flag (CTF) competitions. This guide provides a focused overview of essential algorithms, how to recognize them, common weaknesses exploited in CTFs, and practical resources for practice.
Common CTF Crypto Patterns
- Flags often follow formats like
CTF{...}, which can help in known-plaintext scenarios. - Key reuse across ciphertexts can allow XOR analysis.
- Small RSA exponents (
e = 3) can lead to direct root extraction if the plaintext is small. - Small primes allow for easy factorization of RSA moduli.
- Padding issues in AES frequently lead to oracle-style attacks.
- Images encrypted with ECB will show visible repeated patterns.
Tools
- CyberChef - versatile tool for conversions, encodings, and ciphers.
- CacheSleuth MultiDecoder - automated format and cipher detection. Easily my favorite tool.
- dCode - classical cipher solvers and crypto utilities.
- RsaCtfTool - specialized RSA attack tool.
Core Algorithms
RSA
RSA is an asymmetric encryption algorithm based on modular arithmetic with large primes.
Key structure
- Public key:
(n, e) - Private key:
d, whereed β‘ 1 (mod Ο(n)) - Encryption:
c = m^e mod n - Decryption:
m = c^d mod n
- Public key:
Clues in challenges
- Large integer values, often labeled
n,e,d,p,q. - Small exponents such as
e = 3. - Modulus values that are not very large (easy to factor).
- Large integer values, often labeled
Common attacks
- Factoring
nintopandqwhen too small. - Broadcast attack when the same message is sent to multiple recipients with small
e. - Wienerβs attack if the private key
dis too small. - Common modulus attacks when the same
nis reused across different keys.
- Factoring
Tooling
- RsaCtfTool automates many known attacks.
AES
AES is a symmetric cipher often encountered in ECB or CBC mode.
AES-ECB (Electronic Codebook)
- Encrypts each block independently.
- Easy to spot because identical plaintext blocks lead to identical ciphertext blocks.
- Often leaks patterns in images or structured data.
AES-CBC (Cipher Block Chaining)
- Each block is XORed with the previous ciphertext block before encryption.
- Requires an initialization vector (IV).
- Ciphertexts are usually a multiple of the block size.
- Challenges may involve padding oracle attacks or IV reuse.
Example
SBOX = [
0x63,0x7c,0x77,0x7b,0xf2,0x6b,0x6f,0xc5,0x30,0x01,0x67,0x2b,0xfe,0xd7,0xab,0x76,
0xca,0x82,0xc9,0x7d,0xfa,0x59,0x47,0xf0,0xad,0xd4,0xa2,0xaf,0x9c,0xa4,0x72,0xc0,
0xb7,0xfd,0x93,0x26,0x36,0x3f,0xf7,0xcc,0x34,0xa5,0xe5,0xf1,0x71,0xd8,0x31,0x15,
0x04,0xc7,0x23,0xc3,0x18,0x96,0x05,0x9a,0x07,0x12,0x80,0xe2,0xeb,0x27,0xb2,0x75,
0x09,0x83,0x2c,0x1a,0x1b,0x6e,0x5a,0xa0,0x52,0x3b,0xd6,0xb3,0x29,0xe3,0x2f,0x84,
0x53,0xd1,0x00,0xed,0x20,0xfc,0xb1,0x5b,0x6a,0xcb,0xbe,0x39,0x4a,0x4c,0x58,0xcf,
0xd0,0xef,0xaa,0xfb,0x43,0x4d,0x33,0x85,0x45,0xf9,0x02,0x7f,0x50,0x3c,0x9f,0xa8,
0x51,0xa3,0x40,0x8f,0x92,0x9d,0x38,0xf5,0xbc,0xb6,0xda,0x21,0x10,0xff,0xf3,0xd2,
0xcd,0x0c,0x13,0xec,0x5f,0x97,0x44,0x17,0xc4,0xa7,0x7e,0x3d,0x64,0x5d,0x19,0x73,
0x60,0x81,0x4f,0xdc,0x22,0x2a,0x90,0x88,0x46,0xee,0xb8,0x14,0xde,0x5e,0x0b,0xdb,
0xe0,0x32,0x3a,0x0a,0x49,0x06,0x24,0x5c,0xc2,0xd3,0xac,0x62,0x91,0x95,0xe4,0x79,
0xe7,0xc8,0x37,0x6d,0x8d,0xd5,0x4e,0xa9,0x6c,0x56,0xf4,0xea,0x65,0x7a,0xae,0x08,
0xba,0x78,0x25,0x2e,0x1c,0xa6,0xb4,0xc6,0xe8,0xdd,0x74,0x1f,0x4b,0xbd,0x8b,0x8a,
0x70,0x3e,0xb5,0x66,0x48,0x03,0xf6,0x0e,0x61,0x35,0x57,0xb9,0x86,0xc1,0x1d,0x9e,
0xe1,0xf8,0x98,0x11,0x69,0xd9,0x8e,0x94,0x9b,0x1e,0x87,0xe9,0xce,0x55,0x28,0xdf,
0x8c,0xa1,0x89,0x0d,0xbf,0xe6,0x42,0x68,0x41,0x99,0x2d,0x0f,0xb0,0x54,0xbb,0x16
]
RCON = [0x01,0x02,0x04,0x08,0x10,0x20,0x40,0x80,0x1B,0x36]
def sub_bytes(s): return [SBOX[b] for b in s]
def shift_rows(s):
return [
s[0], s[5], s[10], s[15],
s[4], s[9], s[14], s[3],
s[8], s[13], s[2], s[7],
s[12], s[1], s[6], s[11]
]
def xtime(a): return ((a<<1)^0x1B)&0xFF if a&0x80 else (a<<1)
def mix_single_column(col):
t = col[0]^col[1]^col[2]^col[3]
u = col[0]; col[0]^=t^xtime(col[0]^col[1])
col[1]^=t^xtime(col[1]^col[2])
col[2]^=t^xtime(col[2]^col[3])
col[3]^=t^xtime(col[3]^u)
def mix_columns(s):
for i in range(4): mix_single_column(s[i*4:(i+1)*4])
return s
def add_round_key(s,k): return [a^b for a,b in zip(s,k)]
def key_expansion(key):
Nk, Nr = 4, 10
w = [list(key[i:i+4]) for i in range(0,16,4)]
for i in range(Nk, 4*(Nr+1)):
temp = w[i-1][:]
if i%Nk==0:
temp = temp[1:]+temp[:1]
temp = [SBOX[b] for b in temp]
temp[0] ^= RCON[i//Nk - 1]
w.append([a^b for a,b in zip(w[i-Nk],temp)])
return [sum(w[4*i:4*i+4],[]) for i in range(Nr+1)]
def aes_encrypt_block(block,key):
state = list(block)
round_keys = key_expansion(list(key))
state = add_round_key(state, round_keys[0])
for r in range(1,10):
state = sub_bytes(state)
state = shift_rows(state)
state = mix_columns(state)
state = add_round_key(state, round_keys[r])
state = sub_bytes(state)
state = shift_rows(state)
state = add_round_key(state, round_keys[10])
return bytes(state)
plaintext = b"ABCDEFGHIJKLMNOP" # 16 bytes
key = b"thisisasecretkey" # 16 bytes (AES-128)
cipher = aes_encrypt_block(plaintext, key)
print(cipher.hex())
Further Practice
- HackTheBox - their labs have a ton of modern crypto challenges but they’re quite hard!
- CTFtime.org - event listings, writeups, and past problems.
- CryptoHack - puzzle-based platform for learning cryptography step by step.
- picoCTF - beginner-friendly competitions with accessible crypto challenges.
- OverTheWire Krypton - practice classical cryptography problems.