On self-dual constacyclic codes over finite fields

被引：55
|
作者：
Yang, Yiansheng [1 ]
Cai, Wenchao [1 ]
机构：
[1] Shanghai Univ, Dept Math, Coll Sci, Shanghai 200444, Peoples R China
来源：
DESIGNS CODES AND CRYPTOGRAPHY | 2015年 / 74卷 / 02期
关键词：
Constacyclic codes; Self-dual codes; MDS codes; MDS;
D O I：
10.1007/s10623-013-9865-9
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
This paper is devoted to the study of self-dual codes arising from constacyclic codes. Necessary and sufficient conditions are given for the existence of Hermitian self-dual constacyclic codes over of length . As an application of these necessary and sufficient conditions, some conditions under which MDS Hermitian self-orthogonal and self-dual constacyclic codes exist are obtained.
引用
收藏
页码：355 / 364
页数：10
相关论文
共 50 条
  • [1] On self-dual constacyclic codes over finite fields
    Yiansheng Yang
    Wenchao Cai
    [J]. Designs, Codes and Cryptography, 2015, 74 : 355 - 364
  • [2] Constructing MDS Galois self-dual constacyclic codes over finite fields
    Mi, Jiafu
    Cao, Xiwang
    [J]. DISCRETE MATHEMATICS, 2021, 344 (06)
  • [3] CONSTACYCLIC AND QUASI-TWISTED HERMITIAN SELF-DUAL CODES OVER FINITE FIELDS
    Sangwisut, Ekkasit
    Jitman, Somphong
    Udomkavanich, Patanee
    [J]. ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2017, 11 (03) : 595 - 613
  • [4] Galois Self-Dual 2-Quasi Constacyclic Codes over Finite Fields
    Fan, Yun
    Leng, Yue
    [J]. IEEE Transactions on Information Theory, 2024, 70 (12) : 8698 - 8712
  • [5] On Self-Dual Cyclic Codes Over Finite Fields
    Jia, Yan
    Ling, San
    Xing, Chaoping
    [J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 2011, 57 (04) : 2243 - 2251
  • [6] Frames over finite fields and self-dual codes
    Shi, Minjia
    Liu, Yingying
    Kim, Jon-Lark
    Sole, Patrick
    [J]. APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2023,
  • [7] CYCLIC AND CONSTACYCLIC SELF-DUAL CODES OVER Rk
    Karadeniz, Suat
    Kelebek, Ismail Gokhan
    Yildiz, Bahattin
    [J]. BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2017, 54 (04) : 1111 - 1122
  • [8] Construction of MDS Self-dual Codes over Finite Fields
    Lebed, Khawla
    Liu, Hongwei
    Luo, Jinquan
    [J]. FINITE FIELDS AND THEIR APPLICATIONS, 2019, 59 : 199 - 207
  • [9] New MDS self-dual codes over finite fields
    Guenda, Kenza
    [J]. DESIGNS CODES AND CRYPTOGRAPHY, 2012, 62 (01) : 31 - 42
  • [10] New MDS self-dual codes over finite fields
    Kenza Guenda
    [J]. Designs, Codes and Cryptography, 2012, 62 : 31 - 42
12345