HIGHLY NONLINEAR (VECTORIAL) BOOLEAN FUNCTIONS THAT ARE SYMMETRIC UNDER SOME PERMUTATIONS

被引：1

作者：

Kavut, Selcuk ^{[1
]}

Tutdere, Seher ^{[2
]}

机构：

[1] Balikesir Univ, Dept Comp Engn, Fac Engn, TR-10145 Balikesir, Turkey

[2] Balikesir Univ, Fac Arts & Sci, Dept Math, TR-10145 Balikesir, Turkey

来源：

ADVANCES IN MATHEMATICS OF COMMUNICATIONS | 2020年 / 14卷 / 01期

关键词：

Boolean functions; covering radius; differential uniformity; heuristic search; nonlinearity; REED-MULLER CODE; COVERING RADIUS;

D O I：

10.3934/amc.2020010

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We first give a brief survey of the results on highly nonlinear single-output Boolean functions and bijective S-boxes that are symmetric under some permutations. After that, we perform a heuristic search for the symmetric (and involution) S-boxes which are bijective in dimension 8 and identify corresponding permutations yielding rich classes in terms of cryptographically desirable properties.

引用

页码：127 / 136

页数：10