Complete weight enumerators of a class of linear codes

被引：27

作者：

Ahn, Jaehyun ^{[1
]}

Ka, Dongseok ^{[1
]}

Li, Chengju ^{[2
,3
]}

机构：

[1] Chungnam Natl Univ, Dept Math, Daejeon 305764, South Korea

[2] East China Normal Univ, Sch Comp Sci & Software Engn, Shanghai 200062, Peoples R China

[3] Korea Adv Inst Sci & Technol, Dept Math, Daejeon 305701, South Korea

来源：

DESIGNS CODES AND CRYPTOGRAPHY | 2017年 / 83卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Linear codes; Weight distribution; Gauss sums; SECRET SHARING SCHEMES; AUTHENTICATION CODES; 3-WEIGHT CODES; CONSTRUCTION;

D O I：

10.1007/s10623-016-0205-8

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Let be the finite field with elements, where p is an odd prime and m is a positive integer. For a positive integer t, let and let be the trace function from onto . In this paper, let we define a p-ary linear code by We shall present the complete weight enumerators of the linear codes and give several classes of linear codes with a few weights. This paper generalizes the results of Yang and Yao (Des Codes Cryptogr, 2016).

引用

页码：83 / 99

页数：17

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