一类基于Kasami函数的极小线性码的构造  

Construction of a Class of Minimal Linear Codes Based on Kasami Functions

作　　者：张莹中 

机构地区：[1]西北师范大学,数学与统计学院,甘肃 兰州

出　　处：《应用数学进展》2023年第8期3631-3638,共8页Advances in Applied Mathematics

摘　　要：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。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.

关 键 词：布尔函数 WALSH变换 极小线性码 

分 类 号：G63[文化科学—教育学]