Construction of weightwise perfectly balanced Boolean functions with high weightwise nonlinearity

被引：14
|
作者：
Li, Jingjing [1 ]
Su, Sihong [1 ]
机构：
[1] Henan Univ, Sch Math & Stat, Kaifeng 475004, Peoples R China
来源：
DISCRETE APPLIED MATHEMATICS | 2020年 / 279卷
基金：
中国国家自然科学基金;
关键词：
Boolean function; Weightwise perfectly balancedness; Algebraic degree; Weightwise nonlinearity; Algebraic immunity;
D O I：
10.1016/j.dam.2020.01.020
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we firstly introduce a kind of weightwise almost perfectly balanced Boolean functions. And then, a construction of weightwise perfectly balanced Boolean functions on 2(q+2) variables is given by modifying the support of the weightwise almost perfectly balanced functions, where q is a non-negative integer. The algebraic degree, the weightwise nonlinearity, and the algebraic immunity of the newly constructed weightwise perfectly balanced functions are discussed at the end of this paper. (C) 2020 Elsevier B.V. All rights reserved.
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页码：218 / 227
页数：10
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