Negacyclic self-dual codes over finite chain rings |
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| Authors: | Xiaoshan Kai Shixin Zhu |
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| Institution: | 1. School of Mathematics, Hefei University of Technology, Hefei, 230009, Anhui, People??s Republic of China
2. National Mobile Communications Research Laboratory, Southeast University, Nanjing, 210096, People??s Republic of China
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| Abstract: | In this article, we study negacyclic self-dual codes of length n over a finite chain ring R when the characteristic p of the residue field `(R)]{\bar{R}} and the length n are relatively prime. We give necessary and sufficient conditions for the existence of (nontrivial) negacyclic self-dual
codes over a finite chain ring. As an application, we construct negacyclic MDR self-dual codes over GR(p
t
, m) of length p
m
+ 1. |
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| Keywords: | |
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