Constructions of 1-Resilient Boolean Functions with High Nonlinearity and Good Algebraic Degree

被引：0

作者：

GE Hui ^{[1
,2
]}

SUN Yujuan ^{[1
,2
]}

ZHUO Zepeng ^{[3
]}

机构：

[1] State Key Laboratory of Integrated Service Networks, Xidian University

[2] State Key Laboratory of Cryptology

[3] School of Mathematical Science, Huaibei Normal University

来源：

Chinese Journal of Electronics | 2020年 / 29卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Algebraic degree; Boolean function; Nonlinearity; Resiliency; Stream cipher;

D O I：

暂无

中图分类号：

O153.2 [布尔代数];

学科分类号：

070104 ;

摘要：

Three of the most essential criteria for cryptographically strong Boolean functions are resiliency,high nonlinearity and high algebraic degree.We give a technique for constructing 1-resilient Boolean functions with high nonlinearity via modifying PS-class bent functions.The main technique is to extend the support of bent functions in PS-class by additionally defining two different plateaued functions on two suitably chosen subspaces.A large class of highly nonlinear 1-resilient functions which were not known earlier are obtained.

引用

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页码：667 / 671

页数：5

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