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CYCLIC CODES OVER FORMAL POWER SERIES RINGS 被引量：1

CYCLIC CODES OVER FORMAL POWER SERIES RINGS
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摘要 In this article, cyclic codes and negacyclic codes over formal power series rings are studied. The structure of cyclic codes over this class of rings is given, and the relationship between these codes and cyclic codes over finite chain rings is obtained. Using an isomorphism between cyclic and negacyclic codes over formal power series rings, the structure of negacyclic codes over the formal power series rings is obtained. In this article, cyclic codes and negacyclic codes over formal power series rings are studied. The structure of cyclic codes over this class of rings is given, and the relationship between these codes and cyclic codes over finite chain rings is obtained. Using an isomorphism between cyclic and negacyclic codes over formal power series rings, the structure of negacyclic codes over the formal power series rings is obtained.
作者 Dougherty Steven T. 刘宏伟
机构地区 Department of Mathematics Department of Mathematics
出处 《Acta Mathematica Scientia》 SCIE CSCD 2011年第1期331-343,共13页 数学物理学报（B辑英文版）
基金 supported by SRF for ROCS,SEM,the Key Project of Chinese Ministry of Education (108099) CCNU Project (CCNU09Y01003)
关键词 Finite chain rings cyclic codes negacyclic codes γ-adic codes Finite chain rings cyclic codes negacyclic codes γ-adic codes
分类号 O153.3 [理学—基础数学]
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参考文献22

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引证文献1

Acta Mathematica Scientia
2011年 第1期

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