Welcome to the resource topic for 2021/1676
Title:
Cryptographic Symmetric Structures Based on Quasigroups
Authors: George Teseleanu
Abstract:In our paper we study the effect of changing the commutative group operation used in Feistel and Lai-Massey symmetric structures into a quasigroup operation. We prove that if the quasigroup operation is isotopic with a group \mathbb G, the complexity of mounting a differential attack against our generalization of the Feistel structure is the same as attacking the unkeyed version of the general Feistel iteration based on \mathbb G. Also, when \mathbb G is non-commutative we show that both versions of the Feistel structure are equivalent from a differential point of view. For the Lai-Massey structure we introduce four non-commutative versions, we argue for the necessity of working over a group and we provide some necessary conditions for the differential equivalency of the four notions.
ePrint: https://eprint.iacr.org/2021/1676
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