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
来源
2008 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY PROCEEDINGS, VOLS 1-6 | 2008年
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 16 条
  • [1] On self-dual codes over some prime fields
    Betsumiya, K
    Georgiou, S
    Gullivere, TA
    Harada, M
    Koukouvinos, C
    [J]. DISCRETE MATHEMATICS, 2003, 262 (1-3) : 37 - 58
  • [2] The Magma algebra system .1. The user language
    Bosma, W
    Cannon, J
    Playoust, C
    [J]. JOURNAL OF SYMBOLIC COMPUTATION, 1997, 24 (3-4) : 235 - 265
  • [3] Quadratic double circulant codes over fields
    Gaborit, P
    [J]. JOURNAL OF COMBINATORIAL THEORY SERIES A, 2002, 97 (01) : 85 - 107
  • [4] Experimental constructions of self-dual codes
    Gaborit, P
    Otmani, A
    [J]. FINITE FIELDS AND THEIR APPLICATIONS, 2003, 9 (03) : 372 - 394
  • [5] Georgiou S, 1999, LECT NOTES COMPUT SC, V1746, P63
  • [6] GEORGIOU S, 2004, FINITE FIELDS TH APP, V8, P455
  • [7] GRASSL M, 2007, DESIGNS CODES UNPUB
  • [8] New nonbinary self-dual codes
    Gulliver, T. Aaron
    Harada, Masaaki
    [J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 2008, 54 (01) : 415 - 417
  • [9] GULLIVER TA, 2008, IEEE T INFORM UNPUB
  • [10] Self-dual and maximal self-orthogonal codes over F7
    Harada, M
    Östergård, PRJ
    [J]. DISCRETE MATHEMATICS, 2002, 256 (1-2) : 471 - 477