Complete weight enumerators of a class of three-weight linear codes

被引：4
|
作者：
Li, Fei [1 ]
Wang, Qiuyan [2 ]
Lin, Dongdai [3 ]
机构：
[1] Anhui Univ Finance & Econ, Sch Stat & Appl Math, Bengbu, Anhui, Peoples R China
[2] Tianjin Polytech Univ, Sch Comp Sci & Software Engn, Tianjin, Peoples R China
[3] Chinese Acad Sci, State Key Lab Informat Secur, Beijing, Peoples R China
来源：
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2017年 / 55卷 / 1-2期
基金：
中国国家社会科学基金; 美国国家科学基金会;
关键词：
Association schemes; Authentication codes; Linear codes; Secret sharing schemes; IRREDUCIBLE CYCLIC CODES; 2; ZEROS; HAMMING WEIGHTS; ORDER ELEMENTS; DISTRIBUTIONS; FAMILIES; RESPECT; SCHEMES; DUALS;
D O I：
10.1007/s12190-016-1058-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Linear codes have been an interesting subject of study for many years. In this paper, for an odd prime p, a class of three-weight linear codes over are constructed and the complete weight enumerators of these linear codes are also settled. These codes have applications in authentication codes, association schemes and data storage systems.
引用
收藏
页码：733 / 747
页数：15
相关论文
共 50 条
  • [21] Weight enumerators of a class of linear codes
    Ahn, Jaehyun
    Ka, Dongseok
    [J]. APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2018, 29 (01) : 59 - 76
  • [22] Weight enumerators of a class of linear codes
    Jaehyun Ahn
    Dongseok Ka
    [J]. Applicable Algebra in Engineering, Communication and Computing, 2018, 29 : 59 - 76
  • [23] Construction of a Class of Linear Codes with at Most Three-Weight and the Application
    Liu, Wenhui
    Du, Xiaoni
    Qiao, Xingbin
    [J]. IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2024, E107A (01) : 119 - 124
  • [24] COMPLETE WEIGHT ENUMERATORS OF A CLASS OF LINEAR CODES OVER FINITE FIELDS
    Yang, Shudi
    Kong, Xiangli
    Shi, Xueying
    [J]. ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2021, 15 (01) : 99 - 112
  • [25] A class of three-weight cyclic codes
    Zhou, Zhengchun
    Ding, Cunsheng
    [J]. FINITE FIELDS AND THEIR APPLICATIONS, 2014, 25 : 79 - 93
  • [26] A class of linear codes with their complete weight enumerators over finite fields
    Kumar, Pavan
    Khan, Noor Mohammad
    [J]. CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2021, 13 (05): : 695 - 725
  • [27] A Class of Three-Weight and Four-Weight Codes
    Ding, Cunsheng
    [J]. CODING AND CRYPTOLOGY, PROCEEDINGS, 2009, 5557 : 34 - 42
  • [28] A construction of linear codes and their complete weight enumerators
    Yang, Shudi
    Kong, Xiangli
    Tang, Chunming
    [J]. FINITE FIELDS AND THEIR APPLICATIONS, 2017, 48 : 196 - 226
  • [29] Complete Weight Enumerators of a Class of Linear Codes From Weil Sums
    Yang, Shudi
    [J]. IEEE ACCESS, 2020, 8 : 194631 - 194639
  • [30] A class of linear codes with their complete weight enumerators over finite fields
    Pavan Kumar
    Noor Mohammad Khan
    [J]. Cryptography and Communications, 2021, 13 : 695 - 725
12345