On self-dual constacyclic codes over finite fields

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• 作者：Yiansheng Yang (1)
  Wenchao Cai (1)
  
• 关键词：Constacyclic codes ; Self ; dual codes ; MDS codes ; 94B05 ; 94B15
• 刊名：Designs, Codes and Cryptography
• 出版年：2015
• 出版时间：February 2015
• 年：2015
• 卷：74
• 期：2
• 页码：355-364
• 全文大小：187 KB
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• 作者单位：Yiansheng Yang (1)
  Wenchao Cai (1)
  
  1. Department of Mathematics, College of Science, Shanghai University, Shanghai, 200444, China
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Combinatorics
  Coding and Information Theory
  Data Structures, Cryptology and Information Theory
  Data Encryption
  Discrete Mathematics in Computer Science
  Information, Communication and Circuits
  
• 出版者：Springer Netherlands
• ISSN：1573-7586

文摘

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 \(\mathbb{F }_{q^{2}}\) of length \(n\) . 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.