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
收藏
页码：4102 / 4109
页数：8
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