Constacyclic Codes over Finite Principal Ideal Rings

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• 关键词：Codes over principal ideal rings ; Self ; dual codes ; Cyclic codes ; Constacyclic codes
• 刊名：Lecture Notes in Computer Science
• 出版年：2017
• 出版时间：2017
• 年：2017
• 卷：10194
• 期：1
• 页码：161-175
• 丛书名：Codes, Cryptology and Information Security
• ISBN：978-3-319-55589-8
• 卷排序：10194

文摘

In this paper, we study constacyclic codes over finite principal ideal rings. An isomorphism between constacyclic codes and cyclic codes over finite principal ideal rings is given. Further, an open question is partially answered by giving necessary and sufficient conditions for the existence of non-trivial cyclic self-dual codes over finite principal ideal rings. As an example of codes over a finite principal ideal ring, we study constacyclic codes over \(R+vR\) where \(v^2=v\) and R is a finite chain ring.