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
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