Complete weight enumerators of two classes of linear codes with a few weights

被引：1
|
作者：
Qi, Minglong [1 ]
Xiong, Shengwu [1 ]
机构：
[1] Wuhan Univ Technol, Sch Comp Sci & Technol, Mafangshan West Campus, Wuhan 430070, Peoples R China
来源：
APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING | 2021年 / 32卷 / 01期
关键词：
Linear code; Complete weight enumerator; Weight distribution; Exponential sum;
D O I：
10.1007/s00200-019-00401-2
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
Linear codes with a few weights have important applications in secret sharing, authentication codes, data storage system, association schemes, and strongly regular graphs. Hence, the construction of linear codes with a few weights is an important research topic in coding theory. In this paper, we construct two new classes of linear codes with two and three weights, and determine their complete weight enumerators. Our work generalizes the results of Wang et al. (Discret Math 340(3):467-480, 2017).
引用
收藏
页码：63 / 79
页数：17
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