Complete weight enumerators of two classes of linear codes

被引：3
|
作者：
Wang, Xianfang [1 ,2 ]
Gao, Jian [3 ]
Fu, Fang-Wei [1 ,2 ]
机构：
[1] Nankai Univ, Chern Inst Math, Tianjin 30007, Peoples R China
[2] Nankai Univ, LPMC, Tianjin 30007, Peoples R China
[3] Shandong Univ Technol, Sch Sci, Zibo 255091, Peoples R China
来源：
CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES | 2017年 / 9卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Complete weight enumerators; Linear codes; A finite non-chain ring; Authentication codes; CONSTRUCTION;
D O I：
10.1007/s12095-016-0198-1
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper, we give the complete weight enumerators of two classes of linear codes over the finite field F-p, where p is a prime. These linear codes are the torsion codes of MacDonald codes over the finite non-chain ring F-p + vF(p), where v(2) = v. We also employ these linear codes to construct systematic authentication codes with new parameters.
引用
收藏
页码：545 / 562
页数：18
相关论文
共 50 条
  • [1] Complete weight enumerators of two classes of linear codes
    Xianfang Wang
    Jian Gao
    Fang-Wei Fu
    [J]. Cryptography and Communications, 2017, 9 : 545 - 562
  • [2] Complete weight enumerators of two classes of linear codes
    Wang, Qiuyan
    Li, Fei
    Ding, Kelan
    Lin, Dongdai
    [J]. DISCRETE MATHEMATICS, 2017, 340 (03) : 467 - 480
  • [3] Complete weight enumerators of two classes of linear codes with a few weights
    Minglong Qi
    Shengwu Xiong
    [J]. Applicable Algebra in Engineering, Communication and Computing, 2021, 32 : 63 - 79
  • [4] Complete weight enumerators of two classes of linear codes with a few weights
    Qi, Minglong
    Xiong, Shengwu
    [J]. APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2021, 32 (01) : 63 - 79
  • [5] Complete weight enumerators of three classes of linear codes
    Gaojun Luo
    Xiwang Cao
    [J]. Cryptography and Communications, 2018, 10 : 1091 - 1108
  • [6] Complete weight enumerators of three classes of linear codes
    Luo, Gaojun
    Cao, Xiwang
    [J]. CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2018, 10 (06): : 1091 - 1108
  • [7] Complete weight enumerators for several classes of two-weight and three-weight linear codes
    Zhu, Canze
    Liao, Qunying
    [J]. FINITE FIELDS AND THEIR APPLICATIONS, 2021, 75
  • [8] COMPLETE WEIGHT ENUMERATORS OF SOME CLASSES OF LINEAR CODES WITH A FEW WEIGHTS
    Liu, Yiwei
    Liu, Zihui
    [J]. BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2018, 55 (03) : 717 - 734
  • [9] Complete weight enumerators of a class of two-weight linear codes
    Shudi Yang
    Qin Yue
    Yansheng Wu
    Xiangli Kong
    [J]. Cryptography and Communications, 2019, 11 : 609 - 620
  • [10] Complete weight enumerators of a class of two-weight linear codes
    Yang, Shudi
    Yue, Qin
    Wu, Yansheng
    Kong, Xiangli
    [J]. CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2019, 11 (04): : 609 - 620
12345