Differential-linear attack

Introduced by Martin Hellman and Susan K. Langford in 1994, the differential-linear attack is a mix of both linear cryptanalysis and differential cryptanalysis.

The attack utilises a differential characteristic over part of the cipher with a probability of 1 (for a few rounds—this probability would be much lower for the whole cipher). The rounds immediately following the differential characteristic have a linear approximation defined, and we expect that for each chosen plaintext pair, the probability of the linear approximation holding for one chosen plaintext but not the other will be lower for the correct key. Hellman and Langford have shown that this attack can recover 10 key bits of an 8-round DES with only 512 chosen plaintexts and an 80% chance of success.

The attack was generalised by Eli Biham et al. to use differential characteristics with probability less than 1. Besides DES, it has been applied to FEAL, IDEA, Serpent, Camellia, and even the stream cipher Phelix.

References

Johan Borst (February 1997). "Differential-Linear Cryptanalysis of IDEA" (PDF/PostScript). Retrieved 2007-03-08.
Johan Borst, Lars R. Knudsen, Vincent Rijmen (May 1997). Two Attacks on Reduced IDEA (PDF). Advances in Cryptology - EUROCRYPT '97. Konstanz: Springer-Verlag. pp. 1–13. Retrieved 2007-03-08.
Biham, E.; Dunkelman, O.; Keller, N. (December 2002). Enhancing Differential-Linear Cryptanalysis (PDF/gzipped PostScript). Advances in Cryptology, proceeding of ASIACRYPT 2002, Lecture Notes in Computer Science 2501. Queenstown, New Zealand: Springer-Verlag. pp. 254–266. Retrieved 2006-12-07.
Biham, Dunkelman, Keller (February 2003). Differential-Linear Cryptanalysis of Serpent (PDF/PostScript). 10th International Workshop on Fast Software Encryption (FSE '03). Lund: Springer-Verlag. pp. 9–21. Retrieved 2007-03-08.
Hongjun Wu, Bart Preneel (December 12, 2006). Differential-Linear Attacks against the Stream Cipher Phelix (PDF). 14th International Workshop on Fast Software Encryption (FSE '07). Luxembourg City: Springer-Verlag. Retrieved 2007-03-08.
Eli Biham, Orr Dunkelman, Nathan Keller (December 12, 2006). A New Attack on 6-round IDEA. 14th International Workshop on Fast Software Encryption (FSE '07). Luxembourg City: Springer-Verlag.

Block ciphers (security summary)

Common algorithms	AES Blowfish DES (Internal Mechanics, Triple DES) Serpent Twofish

Less common algorithms	Camellia CAST-128 IDEA RC2 RC5 RC6 SEED ARIA Skipjack TEA XTEA

Other algorithms	3-Way Akelarre Anubis BaseKing BassOmatic BATON BEAR and LION CAST-256 Chiasmus CIKS-1 CIPHERUNICORN-A CIPHERUNICORN-E CLEFIA CMEA Cobra COCONUT98 Crab Cryptomeria/C2 CRYPTON CS-Cipher DEAL DES-X DFC E2 FEAL FEA-M FROG G-DES GOST Grand Cru Hasty Pudding cipher Hierocrypt ICE IDEA NXT Intel Cascade Cipher Iraqi KASUMI KeeLoq KHAZAD Khufu and Khafre KN-Cipher Kuznyechik Ladder-DES Libelle LOKI (97, 89/91) Lucifer M6 M8 MacGuffin Madryga MAGENTA MARS Mercy MESH MISTY1 MMB MULTI2 MultiSwap New Data Seal NewDES Nimbus NOEKEON NUSH PRESENT Prince Q RC6 REDOC Red Pike S-1 SAFER SAVILLE SC2000 SHACAL SHARK Simon SM4 Speck Spectr-H64 Square SXAL/MBAL Threefish Treyfer UES Xenon xmx XXTEA Zodiac

Design	Feistel network Key schedule Lai-Massey scheme Product cipher S-box P-box SPN Avalanche effect Block size Key size Key whitening (Whitening transformation)

Attack (cryptanalysis)	Brute-force (EFF DES cracker) MITM (Biclique attack, 3-subset MITM attack) Linear (Piling-up lemma) Differential (Impossible Truncated Higher-order) Differential-linear Distinguishing (Known-key) Integral/Square Boomerang Mod n Related-key Slide Rotational Timing XSL Interpolation Partitioning Davies' Rebound Weak key Tau Chi-square Time/memory/data tradeoff

Standardization	AES process CRYPTREC NESSIE

Utilization	Initialization vector Mode of operation Padding

Cryptography

History of cryptography Cryptanalysis Outline of cryptography

Symmetric-key algorithm Block cipher Stream cipher Public-key cryptography Cryptographic hash function Message authentication code Random numbers Steganography

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