On Self-Dual MDS Codes

被引:61
|
作者
Grassl, Markus [1 ]
Gulliver, T. Aaron [2 ]
机构
[1] Austrian Acad Sci, Inst Quantum Opt & Quantum Informat, Tech Str 21A, A-6020 Innsbruck, Austria
[2] Univ Victoria, Dept Elect & Comp Engn, Victoria, BC V8W 3P6, Canada
关键词
D O I
10.1109/ISIT.2008.4595330
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
We consider the problem for which lengths a self-dual MDS code over F-q exists. We show that for q = 2(m), there are self-dual MDS codes for all even lengths up to 2(m). Furthermore, self-dual MDS codes of length q + 1 over F-q exist for all odd prime powers q. Additionally, we present some new self-dual MDS codes.
引用
收藏
页码:1954 / +
页数:2
相关论文
共 50 条
  • [1] MDS self-dual codes
    Kim, JL
    Lee, Y
    2004 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY, PROCEEDINGS, 2004, : 526 - 526
  • [2] Orthogonal designs and MDS self-dual codes
    Harada, Masaaki
    Kharaghani, Hadi
    AUSTRALASIAN JOURNAL OF COMBINATORICS, 2006, 35 : 57 - 67
  • [3] A note on the constructions of MDS self-dual codes
    Yan, Haode
    CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2019, 11 (02): : 259 - 268
  • [4] Explicit Constructions of MDS Self-Dual Codes
    Sok, Lin
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2020, 66 (06) : 3603 - 3615
  • [5] MDS and self-dual codes over rings
    Guenda, Kenza
    Gulliver, T. Aaron
    FINITE FIELDS AND THEIR APPLICATIONS, 2012, 18 (06) : 1061 - 1075
  • [6] A note on the constructions of MDS self-dual codes
    Haode Yan
    Cryptography and Communications, 2019, 11 : 259 - 268
  • [7] New MDS or near-MDS self-dual codes
    Gulliver, T. Aaron
    Kim, Jon-Lark
    Lee, Yoonjin
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2008, 54 (09) : 4354 - 4360
  • [8] On the constructions of MDS self-dual codes via cyclotomy
    Zhang, Aixian
    Feng, Keqin
    FINITE FIELDS AND THEIR APPLICATIONS, 2022, 77
  • [9] Construction of long MDS self-dual codes from short codes
    Xie, Derong
    Fang, Xiaolei
    Luo, Jinquan
    FINITE FIELDS AND THEIR APPLICATIONS, 2021, 72
  • [10] MDS self-dual codes over large prime fields
    Georgiou, S
    Koukouvinos, C
    FINITE FIELDS AND THEIR APPLICATIONS, 2002, 8 (04) : 455 - 470