More Low Differential Uniformity Permutations over F22k with k Odd

被引：3

作者：

Leng, Yue ^{[1
]}

Chen, Jinyang ^{[2
]}

Xie, Tao ^{[1
]}

机构：

[1] Hubei Normal Univ, Coll Math & Stat, Huangshi 435002, Hubei, Peoples R China

[2] Chongqing Three Gorges Univ, Coll Math & Stat, Chongqing 404130, Peoples R China

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2020年 / 2020卷

基金：

中国国家自然科学基金;

关键词：

4-UNIFORM PERMUTATIONS;

D O I：

10.1155/2020/7152657

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Permutations with low differential uniformity, high algebraic degree, and high nonlinearity over F-22k can be used as the substitution boxes for many block ciphers. In this paper, several classes of low differential uniformity permutations are constructed based on the method of choosing two permutations over F-22k to get the desired permutations. The resulted low differential uniformity permutations have high algebraic degrees and nonlinearities simultaneously, which provide more choices for the substitution boxes. Moreover, some numerical examples are provided to show the efficacy of the theoretical results.

引用

页数：10

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