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Markov ciphers and differential cryptanalysis. (English) Zbl 0777.94013

Advances in Cryptology, Proc. Workshop, EUROCRYPT ’91, Brighton/UK 1991, Lect. Notes Comput. Sci. 547, 17-38 (1991).
[For the entire collection see Zbl 0756.00008.]
The paper considers the security of iterated block ciphers against the differential cryptanalysis developed by Biham and Shamir. Especially, it is investigated if the so-called Proposed Encryption Standard (PES), introduced by the authors in 1991, is resistant to differential cryptanalysis.
The mentioned cryptanalysis is a chosen-plaintext attack on secret-key ciphers that are based on iterating a cryptographically weak function several times. The iterations are called rounds. Differential cryptanalysis analyzes the effect of the difference of a pair of plaintexts on the difference of succeeding round outputs in a iterated cipher.
The authors use the concept of Markov ciphers to describe the probability of success of differential cryptanalysis on an \(r\)-round cipher depending on the existence of \((r-1)\)-round differentials with high probability. (An \(i\)-round differential is a couple \((\alpha,\beta)\) such that a pair of plaintexts with difference \(\alpha\) can result in a pair of \(i\)-th round outputs that have difference \(\beta\).)
It is proved that PES including also its mini-versions is immune to differential cryptanalysis after sufficiently many \((\geq 7)\) rounds. As a result of these investigations a minor modification of PES is proposed. This modified cipher called Improved PES (IPES) is shown to be highly resistant against differential cryptanalysis.

MSC:

94A60 Cryptography

Citations:

Zbl 0756.00008
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