具有八值Walsh谱的布尔函数的构造
Construction of Boolean functions with eight-valued Walsh spectrum
张蔚郁 1卓泽朋1
作者信息
- 1. 淮北师范大学数学科学学院,安徽淮北 235000
- 折叠
摘要
布尔函数在编码理论、对称密码学和序列设计中起着重要作用.Walsh变换是研究布尔函数密码学性质的重要工具.本文利用两类bent函数在4个不同点的函数值互补,构造两类具有八值Walsh谱的布尔函数,并确定它们的Walsh谱值分布.
Abstract
Boolean functions play an important role in coding theory,symmetric cryptography and sequence design.The Walsh transform is an important tool to investigate cryptographic properties of Boolean functions.Two classes of Boolean functions with eight-value Walsh spectrum are constructed by using the complementary values of two classes of bent functions at four different points,and their Walsh spectrum value distributions are determined.
关键词
布尔函数/bent函数/八值Walsh谱/Walsh变换Key words
Boolean function/bent function/eight-valued Walsh spectrum/Walsh transform引用本文复制引用
基金项目
国家自然科学基金资助项目(61902140)
淮北师范大学结余经费资助项目(2023ZK032.RE230438)
出版年
2024
NETL
NSTL
万方数据