%0 Journal Article
%T 一类基于Kasami函数的极小线性码的构造<br>Construction of a Class of Minimal Linear Codes Based on Kasami Functions
%A 张莹中
%J Advances in Applied Mathematics
%P 3631-3638
%@ 2324-8009
%D 2023
%I Hans Publishing
%R 10.12677/AAM.2023.128361
%X 布尔函数和线性码在设计序列密码共享方案等方面有重要的应用。本文基于Kasami函数构造了一 类具有五值Walsh谱的布尔函数，研究了新函数的Walsh谱值分布，利用新函数构造了一类五重极小线性码。<br />
Boolean functions and linear codes with few-weights have important applications in designing sequence ciphers and in designing shared schemes. In this paper, we con- struct a class Boolean functions with five-valued Walsh spectra using Kasami functions and investigate the distribution of Walsh spectral values of the new functions. Final- ly, a class of minimal linear codes with five-weights is constructed by using the new functions.
%K 布尔函数，Walsh变换，极小线性码<br>Boolean Function
%K Walsh Transform
%K Minimal Linear Codes
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=70961