N-hash

In cryptography, N-hash is a cryptographic hash function based on the FEAL round function, and is now considered insecure. It was proposed in 1990 in an article by Miyaguchi, Ohta, and Iwata;^[1] weaknesses were published the following year.^[2]

N-hash has a 128-bit hash size. A message is divided into 128-bit blocks, and each block is combined with the hash value computed so far using the g compression function. g contains eight rounds, each of which uses an F function, similar to the one used by FEAL.

Eli Biham and Adi Shamir (1991) applied the technique of differential cryptanalysis to N-hash, and showed that collisions could be generated faster than by a birthday attack for N-hash variants with even up to 12 rounds.^[2]

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^ S. Miyaguchi; K. Ohta; M. Iwata (November 1990). "128-bit hash function (N-hash)". NTT Review. 2 (6): 128–132.
^ ^a ^b Eli Biham; Adi Shamir (1991). "Differential Cryptanalysis of Feal and N-Hash". In Donald W. Davies (ed.). Advances in Cryptology — EUROCRYPT '91. Workshop on the Theory and Application of Cryptographic Techniques, Brighton, UK, April 8–11, 1991. Proceedings. Lecture Notes in Computer Science. Vol. 547. pp. 1–16. doi:10.1007/3-540-46416-6_1. ISBN 978-3-540-54620-7.

v t e Cryptographic hash functions and message authentication codes
List Comparison Known attacks
Common functions	MD5 (compromised) SHA-1 (compromised) SHA-2 SHA-3 BLAKE2
SHA-3 finalists	BLAKE Grøstl JH Skein Keccak (winner)
Other functions	BLAKE3 CubeHash ECOH FSB Fugue GOST HAS-160 HAVAL Kupyna LSH Lane MASH-1 MASH-2 MD2 MD4 MD6 MDC-2 N-hash RIPEMD RadioGatún SIMD SM3 SWIFFT Shabal Snefru Streebog Tiger VSH Whirlpool
Password hashing/ key stretching functions	Argon2 Balloon bcrypt Catena crypt LM hash Lyra2 Makwa PBKDF2 scrypt yescrypt
General purpose key derivation functions	HKDF KDF1/KDF2
MAC functions	CBC-MAC DAA GMAC HMAC NMAC OMAC/CMAC PMAC Poly1305 SipHash UMAC VMAC
Authenticated encryption modes	CCM ChaCha20-Poly1305 CWC EAX GCM IAPM OCB
Attacks	Collision attack Preimage attack Birthday attack Brute-force attack Rainbow table Side-channel attack Length extension attack
Design	Avalanche effect Hash collision Merkle–Damgård construction Sponge function HAIFA construction
Standardization	CAESAR Competition CRYPTREC NESSIE NIST hash function competition Password Hashing Competition
Utilization	Hash-based cryptography Merkle tree Message authentication Proof of work Salt Pepper

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General	History of cryptography Outline of cryptography Cryptographic protocol Authentication protocol Cryptographic primitive Cryptanalysis Cryptocurrency Cryptosystem Cryptographic nonce Cryptovirology Hash function Cryptographic hash function Key derivation function Digital signature Kleptography Key (cryptography) Key exchange Key generator Key schedule Key stretching Keygen Cryptojacking malware Ransomware Random number generation Cryptographically secure pseudorandom number generator (CSPRNG) Pseudorandom noise (PRN) Secure channel Insecure channel Subliminal channel Encryption Decryption End-to-end encryption Harvest now, decrypt later Information-theoretic security Plaintext Codetext Ciphertext Shared secret Trapdoor function Trusted timestamping Key-based routing Onion routing Garlic routing Kademlia Mix network
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