Partition-Based Trapdoor Ciphers

Arnaud Bannier,N. Bodin,E. Filiol

Published 2017 in IACR Cryptology ePrint Archive

ABSTRACT

. This paper deals with block ciphers embedding a trapdoor which consists in mapping a partition of the plaintext space to a partition of the ciphertext space. In a first part, this issue is reduced to the study of the S-boxes of the cipher satisfying a few criteria. Then, differential and linear properties of such S-boxes are assessed and an algorithm to build optimal S-boxes is provided. Finally, these primitives are used to design a small trapdoor cipher resistant to both linear and differential cryptanalysis. This trapdoor makes it possible to recover the κ -bit master key with only one plaintext/ciphertext pair and an effort of 2 κ 2 encryptions.

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