Constacyclic codes of arbitrary lengths over ring \(Z_{p^m } + vZ_{p^m }\)

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• 作者：Lei Huang (1)
  Shixin Zhu (1)
  
• 关键词：Constacyclic codes ; Gray map ; Dual codes ; Self ; dual codes ; TN911. 22
• 刊名：Journal of Electronics (China)
• 出版年：2014
• 出版时间：June 2014
• 年：2014
• 卷：31
• 期：3
• 页码：222-226
• 全文大小：
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• 作者单位：Lei Huang (1)
  Shixin Zhu (1)
  
  1. School of Mathematics, Hefei University of Technology, Hefei, 230009, China
  
• ISSN：1993-0615

文摘

By constructing a Gray map, constacyclic codes of arbitrary lengths over ring \(R = Z_{p^m } + vZ_{p^m }\) are studied, where v 2 = v The structure of constacyclic codes over R and their dual codes are obtained. A necessary and sufficient condition for a linear code to be self-dual constacyclic is given. In particular, (1+(v+1)αp)-constacyclic codes over R are classified in terms of generator polynomial, where α is a unit of \(Z_{p^m }\) .