Constructing new differentially 4-uniform permutations from known ones

被引：4

作者：

Sin, Yongho ^{[1
]}

Kim, Kwangyon ^{[1
]}

Kim, Ryul ^{[1
]}

Han, Songchol ^{[1
]}

机构：

[1] Kim Il Sung Univ, Fac Math, Pyongyang, North Korea

来源：

FINITE FIELDS AND THEIR APPLICATIONS | 2020年 / 63卷

关键词：

Finite field; Permutation; Differential uniformity; Nonlinearity; Differentially 4-uniform permutation; Algebraic degree;

D O I：

10.1016/j.ffa.2020.101646

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study a new construction of differentially 4-uniform permutations from known ones and the inverse function. We focus on constructing methods of [20]. We split a finite field into its subfield and remainder, and, we choose known differentially 4-uniform permutations over the subfield and the inverse function over the entire field. As a result, we obtain two families of differentially 4-uniform permutations. (C) 2020 Elsevier Inc. All rights reserved.

引用

页数：13

共 21 条

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