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

页码：1954 / +

页数：2

共 50 条

[21] New MDS Self-Dual Codes From Generalized Reed-Solomon Codes
Jin, Lingfei
Xing, Chaoping
IEEE TRANSACTIONS ON INFORMATION THEORY, 2017, 63 (03) : 1434 - 1438
[22] Construction of MDS Euclidean Self-Dual Codes via Two Subsets
Fang, Weijun
Xia, Shu-Tao
Fu, Fang-Wei
IEEE TRANSACTIONS ON INFORMATION THEORY, 2021, 67 (08) : 5005 - 5015
[23] MDS or NMDS self-dual codes from twisted generalized Reed–Solomon codes
Daitao Huang
Qin Yue
Yongfeng Niu
Xia Li
Designs, Codes and Cryptography, 2021, 89 : 2195 - 2209
[24] MDS Self-Dual Codes and Antiorthogonal Matrices over Galois Rings
Han, Sunghyu
INFORMATION, 2019, 10 (04):
[25] On involutions in extremal self-dual codes and the dual distance of semi self-dual codes
Borello, Martino
Nebe, Gabriele
FINITE FIELDS AND THEIR APPLICATIONS, 2015, 33 : 80 - 89
[26] Constructions of self-dual codes and formally self-dual codes over rings
Dougherty, Steven T.
Kaya, Abidin
Salturk, Esengul
APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2016, 27 (05) : 435 - 449
[27] Constructions of self-dual codes and formally self-dual codes over rings
Steven T Dougherty
Abidin Kaya
Esengül Saltürk
Applicable Algebra in Engineering, Communication and Computing, 2016, 27 : 435 - 449
[28] New Constructions of MDS Euclidean Self-Dual Codes From GRS Codes and Extended GRS Codes
Fang, Weijun
Fu, Fang-Wei
IEEE TRANSACTIONS ON INFORMATION THEORY, 2019, 65 (09) : 5574 - 5579
[29] Triorthogonal codes and self-dual codes
Shi, Minjia
Lu, Haodong
Kim, Jon-Lark
Sole, Patrick
QUANTUM INFORMATION PROCESSING, 2024, 23 (07)
[30] MDS, Near-MDS or 2-MDS Self-Dual Codes via Twisted Generalized Reed-Solomon Codes
Sui, Junzhen
Yue, Qin
Li, Xia
Huang, Daitao
IEEE TRANSACTIONS ON INFORMATION THEORY, 2022, 68 (12) : 7832 - 7841

← 1 2 3 4 5 →