Complete weight enumerators of a class of linear codes with two weights

被引：6
作者：
Xu, Guangkui [1 ,2 ]
Cao, Xiwang [2 ,3 ]
Xu, Shanding [2 ,4 ]
Ping, Jingshui [1 ]
机构：
[1] Huainan Normal Univ, Dept Appl Math, Huainan 232038, Peoples R China
[2] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 210016, Jiangsu, Peoples R China
[3] Chinese Acad Sci, Inst Informat Engn, State Key Lab Informat Secur, Beijing 100093, Peoples R China
[4] Nanjing Inst Technol, Dept Math & Phys, Nanjing 210016, Jiangsu, Peoples R China
来源：
DISCRETE MATHEMATICS | 2018年 / 341卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Complete weight enumerators; Linear codes; Authentication codes; Secret sharing schemes; CONSTRUCTION; 2-WEIGHT;
D O I：
10.1016/j.disc.2017.09.021
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, a class of p-ary linear codes with two weights is constructed by using the properties of cyclotomic classes of F-p2*. The complete weight enumerators of these linear codes are also determined. In some cases, they are optimal and can be employed to obtain secret sharing schemes with interesting access structures and asymptotically optimal systematic authentication codes. (C) 2017 Elsevier B.V. All rights reserved.
引用
收藏
页码：525 / 535
页数：11
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