Complete weight enumerators of two classes of linear codes

被引：19
|
作者：
Wang, Qiuyan [1 ,3 ]
Li, Fei [2 ]
Ding, Kelan [3 ]
Lin, Dongdai [3 ]
机构：
[1] Tianjin Polytech Univ, Sch Comp Sci & Software Engn, Tianjin 300387, Peoples R China
[2] Anhui Univ Finance & Econ, Sch Stat & Appl Math, Bengbu City 233000, Anhui, Peoples R China
[3] Chinese Acad Sci, Inst Informat Engn, State Key Lab Informat Secur, Beijing 100195, Peoples R China
来源：
DISCRETE MATHEMATICS | 2017年 / 340卷 / 03期
基金：
美国国家科学基金会; 中国国家社会科学基金;
关键词：
Linear codes; Complete weight enumerator; Gauss sum; IRREDUCIBLE CYCLIC CODES; AUTHENTICATION CODES; HAMMING WEIGHTS; 3-WEIGHT; CONSTRUCTION; DUALS;
D O I：
10.1016/j.disc.2016.09.003
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Recently, linear codes with a few weights have been constructed and extensively studied. In this paper, for an odd prime p, we determine the complete weight enumerator of two classes of p-ary linear codes constructed from defining set. Our results show that the codes have at most seven weights and may have applications in secret sharing schemes. (C) 2016 Elsevier B.V. All rights reserved.
引用
收藏
页码：467 / 480
页数：14
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