The Weight Distributions of Two Classes of Linear Codes From Perfect Nonlinear Functions

被引：0

作者：

Wu, Huawei ^{[1
]}

Yang, Jing ^{[1
]}

Feng, Keqin ^{[1
]}

机构：

[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 2024年 / 70卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Bent functions; exponential sums; group actions; linear codes; minimum distance; perfect nonlinear; value distribution; Walsh transform; weakly regular bent; weight distribution;

D O I：

10.1109/TIT.2023.3348228

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we employ general results on the value distributions of perfect nonlinear functions from F-p(m) to F-p to give a unified approach to determining the weight distributions of two classes of linear codes over F-p constructed from perfect nonlinear functions, where p is an odd prime and m is an odd number. When m is even, we give some mild additional conditions for similar conclusions to hold.

引用

页码：4102 / 4109

页数：8

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