A class of cyclic codes whose duals have five zeros

被引:0
|
作者
Yan Liu
Chunlei Liu
机构
[1] Yancheng Institute of Technology,College of Mathematics and Physics
[2] Shanghai Jiaotong University,Department of Mathematics
来源
Designs, Codes and Cryptography | 2016年 / 81卷
关键词
Cyclic code; Quadratic form; Weight distribution; 94B15; 11T71;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, a family of cyclic codes over Fp\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb {F}}_{p}$$\end{document} whose duals have five zeros is presented, where p is an odd prime. Furthermore, the weight distribution of these cyclic codes is determined.
引用
收藏
页码:225 / 238
页数:13
相关论文
共 50 条
  • [1] A class of cyclic codes whose duals have five zeros
    Liu, Yan
    Liu, Chunlei
    DESIGNS CODES AND CRYPTOGRAPHY, 2016, 81 (02) : 225 - 238
  • [2] The weight enumerator of the duals of a class of cyclic codes with three zeros
    Yang, Shudi
    Yao, Zheng-An
    Zhao, Chang-An
    APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2015, 26 (04) : 347 - 367
  • [3] The weight enumerator of the duals of a class of cyclic codes with three zeros
    Shudi Yang
    Zheng-An Yao
    Chang-An Zhao
    Applicable Algebra in Engineering, Communication and Computing, 2015, 26 : 347 - 367
  • [4] Hamming Weights of the Duals of Cyclic Codes With Two Zeros
    Li, Chengju
    Yue, Qin
    Li, Fengwei
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2014, 60 (07) : 3895 - 3902
  • [5] The Weight Distributions of the Duals of Cyclic Codes With Two Zeros
    Ding, Cunsheng
    Liu, Yang
    Ma, Changli
    Zeng, Liwei
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2011, 57 (12) : 8000 - 8006
  • [6] A class of optimal ternary cyclic codes and their duals
    Fan, Cuiling
    Li, Nian
    Zhou, Zhengchun
    FINITE FIELDS AND THEIR APPLICATIONS, 2016, 37 : 193 - 202
  • [7] On cyclic codes of length 22r-1 with two zeros whose dual codes have three weights
    Feng, Tao
    DESIGNS CODES AND CRYPTOGRAPHY, 2012, 62 (03) : 253 - 258
  • [8] A Class of Optimal Cyclic Codes With Two Zeros
    Liao, Dengchuan
    Kai, Xiaoshan
    Zhu, Shixin
    Li, Ping
    IEEE COMMUNICATIONS LETTERS, 2019, 23 (08) : 1293 - 1296
  • [9] A family of optimal ternary cyclic codes with minimum distance five and their duals
    Dandan Wang
    Xiwang Cao
    Cryptography and Communications, 2022, 14 : 1 - 13
  • [10] A family of optimal ternary cyclic codes with minimum distance five and their duals
    Wang, Dandan
    Cao, Xiwang
    CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2022, 14 (01): : 1 - 13