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
基金
美国国家科学基金会; 中国国家社会科学基金;
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
  • [1] 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
  • [2] 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
  • [3] Complete weight enumerators of a class of three-weight linear codes
    Fei Li
    Qiuyan Wang
    Dongdai Lin
    Journal of Applied Mathematics and Computing, 2017, 55 : 733 - 747
  • [4] Complete weight enumerators of a family of three-weight linear codes
    Yang, Shudi
    Yao, Zheng-An
    DESIGNS CODES AND CRYPTOGRAPHY, 2017, 82 (03) : 663 - 674
  • [5] Complete weight enumerators of a family of three-weight linear codes
    Shudi Yang
    Zheng-An Yao
    Designs, Codes and Cryptography, 2017, 82 : 663 - 674
  • [6] Complete weight enumerators for several classes of two-weight and three-weight linear codes
    Zhu, Canze
    Liao, Qunying
    FINITE FIELDS AND THEIR APPLICATIONS, 2021, 75
  • [7] A Class of Linear Codes and Their Complete Weight Enumerators
    Kong, Xiangli
    Yang, Shudi
    IEEE ACCESS, 2019, 7 : 127833 - 127838
  • [8] 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
  • [9] Complete weight enumerators of a class of linear codes
    Yang, Shudi
    Yao, Zheng-An
    DISCRETE MATHEMATICS, 2017, 340 (04) : 729 - 739
  • [10] Complete weight enumerators of a class of linear codes
    Ahn, Jaehyun
    Ka, Dongseok
    Li, Chengju
    DESIGNS CODES AND CRYPTOGRAPHY, 2017, 83 (01) : 83 - 99