Cryptologia ( IF 0.3 ) Pub Date : 2022-04-05 , DOI: 10.1080/01611194.2021.2022035 George Teşeleanu 1, 2
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 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 Also, when 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.
中文翻译:
基于拟群的密码对称结构
摘要
在我们的论文中,我们研究了将 Feistel 和 Lai-Massey 对称结构中使用的交换群运算更改为拟群运算的效果。我们证明如果拟群运算与群是同位素针对我们的 Feistel 结构的泛化进行差分攻击的复杂性与攻击基于的一般 Feistel 迭代的无密钥版本相同另外,当是非交换的,我们证明从微分的角度来看,两个版本的 Feistel 结构是等价的。对于Lai-Massey结构,我们引入了四个非交换版本,我们论证了群上工作的必要性,并为这四个概念的微分等价提供了一些必要条件。