Some new constructions of MDS self-dual codes over finite fields

被引:0
|
作者
Lebed, Khawla [1 ]
Liu, Hongwei [1 ]
机构
[1] School of Mathematics and Statistics, Central China Normal University, Wuhan,Hubei,430079, China
关键词
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, for some fixed q, we construct some new classes of maximum distance separable (MDS) self-dual codes over Fq by using (extended) generalized Reed-Solomon codes. Our constructions utilize the additive and/or multiplicative structures of the finite field Fq. It reveals that by choosing suitable subsets of Fq, more MDS self-dual codes with new parameters can be found. © 2021 Elsevier Inc.
引用
收藏
相关论文
共 50 条
  • [1] Some new constructions of MDS self-dual codes over finite fields
    Lebed, Khawla
    Liu, Hongwei
    FINITE FIELDS AND THEIR APPLICATIONS, 2022, 77
  • [2] New MDS self-dual codes over finite fields
    Guenda, Kenza
    DESIGNS CODES AND CRYPTOGRAPHY, 2012, 62 (01) : 31 - 42
  • [3] New MDS self-dual codes over finite fields
    Kenza Guenda
    Designs, Codes and Cryptography, 2012, 62 : 31 - 42
  • [4] Construction of MDS Self-dual Codes over Finite Fields
    Lebed, Khawla
    Liu, Hongwei
    Luo, Jinquan
    FINITE FIELDS AND THEIR APPLICATIONS, 2019, 59 : 199 - 207
  • [5] New MDS self-dual codes over finite fields of odd characteristic
    Fang, Xiaolei
    Lebed, Khawla
    Liu, Hongwei
    Luo, Jinquan
    DESIGNS CODES AND CRYPTOGRAPHY, 2020, 88 (06) : 1127 - 1138
  • [6] New MDS self-dual codes over finite fields of odd characteristic
    Xiaolei Fang
    Khawla Lebed
    Hongwei Liu
    Jinquan Luo
    Designs, Codes and Cryptography, 2020, 88 : 1127 - 1138
  • [7] Constructing MDS Galois self-dual constacyclic codes over finite fields
    Mi, Jiafu
    Cao, Xiwang
    DISCRETE MATHEMATICS, 2021, 344 (06)
  • [8] A New Construction of Maximum Distance Separable (MDS) Self-Dual Codes over Finite Fields
    Zhang, Aixian
    Ji, Zhe
    ENTROPY, 2019, 21 (02):
  • [9] Euclidean and Hermitian self-dual MDS codes over large finite fields
    Kim, JL
    Lee, YJ
    JOURNAL OF COMBINATORIAL THEORY SERIES A, 2004, 105 (01) : 79 - 95
  • [10] A note on the constructions of MDS self-dual codes
    Haode Yan
    Cryptography and Communications, 2019, 11 : 259 - 268