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

被引：20
|
作者：
Kong, Xiangli [1 ]
Yang, Shudi [1 ]
机构：
[1] Qufu Normal Univ, Sch Math Sci, Jining 273165, Shandong, Peoples R China
来源：
DISCRETE MATHEMATICS | 2019年 / 342卷 / 11期
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
Linear code; Complete weight enumerator; Weight enumerator; Exponential sum; CYCLIC CODES; DISTRIBUTIONS; CONSTRUCTION;
D O I：
10.1016/j.disc.2019.06.025
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct a class of linear codes by choosing a proper defining set and determine their complete weight enumerators and weight enumerators. The results show that they have at most three weights and they are suitable for applications in secret sharing schemes. This is an extension of the results raised by Wang et al. (2017). (C) 2019 Elsevier B.V. All rights reserved.
引用
收藏
页码：3166 / 3176
页数：11
相关论文
共 50 条
  • [1] A class of two or three weights linear codes and their complete weight enumerators
    Zheng, Dabin
    Zhao, Qing
    Wang, Xiaoqiang
    Zhang, Yan
    DISCRETE MATHEMATICS, 2021, 344 (06)
  • [2] Complete weight enumerators of a class of two-weight linear codes
    Yang, Shudi
    Yue, Qin
    Wu, Yansheng
    Kong, Xiangli
    CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2019, 11 (04): : 609 - 620
  • [3] A class of three-weight linear codes and their complete weight enumerators
    Yang, Shudi
    Yao, Zheng-An
    Zhao, Chang-An
    CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2017, 9 (01): : 133 - 149
  • [4] A CLASS OF LINEAR CODES AND THEIR COMPLETE WEIGHT ENUMERATORS
    Wang, Dandan
    Cao, Xiwang
    Luo, Gaojun
    ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2021, 15 (01) : 73 - 97
  • [5] COMPLETE WEIGHT ENUMERATORS OF A CLASS OF LINEAR CODES OVER FINITE FIELDS
    Yang, Shudi
    Kong, Xiangli
    Shi, Xueying
    ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2021, 15 (01) : 99 - 112
  • [6] Complete weight enumerators of a class of linear codes with two weights
    Xu, Guangkui
    Cao, Xiwang
    Xu, Shanding
    Ping, Jingshui
    DISCRETE MATHEMATICS, 2018, 341 (02) : 525 - 535
  • [7] Complete weight enumerators of a class of two-weight linear codes
    Shudi Yang
    Qin Yue
    Yansheng Wu
    Xiangli Kong
    Cryptography and Communications, 2019, 11 : 609 - 620
  • [8] A Class of Linear Codes and Their Complete Weight Enumerators
    Kong, Xiangli
    Yang, Shudi
    IEEE ACCESS, 2019, 7 : 127833 - 127838
  • [9] A class of three-weight linear codes and their complete weight enumerators
    Shudi Yang
    Zheng-An Yao
    Chang-An Zhao
    Cryptography and Communications, 2017, 9 : 133 - 149
  • [10] Complete weight enumerators of two classes of linear codes with a few weights
    Qi, Minglong
    Xiong, Shengwu
    APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2021, 32 (01) : 63 - 79
12345