Complete weight enumerators for several classes of two-weight and three-weight linear codes

被引：8

作者：

Zhu, Canze ^{[1
]}

Liao, Qunying ^{[1
]}

机构：

[1] Sichuan Normal Univ, Sch Math Sci, Chengdu 610068, Sichuan, Peoples R China

来源：

FINITE FIELDS AND THEIR APPLICATIONS | 2021年 / 75卷

基金：

中国国家自然科学基金;

关键词：

Linear codes; Complete weight enumerators; Character sums; Weil sums; CONSTRUCTION;

D O I：

10.1016/j.ffa.2021.101897

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, for an odd prime p, by extending Li et al.'s construction [17], several classes of two-weight and three-weight linear codes over the finite field F-p are constructed from a defining set, and then their complete weight enumerators are determined by using Weil sums. Furthermore, we show that some examples of these codes are optimal or almost optimal with respect to the Griesmer bound. Our results generalize the corresponding results in [15,17]. (C) 2021 Elsevier Inc. All rights reserved.

引用

页数：31

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