Acta mathematica scientia,Series B ›› 2014, Vol. 34 ›› Issue (3): 829-839.doi: 10.1016/S0252-9602(14)60053-9

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CYCLIC AND NEGACYCLIC CODES OF LENGTH 2ps OVER Fpm + uFpm

 LIU Xiu-Sheng, XU Xiao-Fang   

  1. School of Mathematics and Physics, Hubei Polytechnic University, Huangshi 435003, China
  • Received:2013-04-26 Revised:2013-10-24 Online:2014-05-20 Published:2014-05-20
  • Supported by:

    The author is supported by the Natural Science Foundation of Hubei Province (D2014401) and the Natural Science Foundation of Hubei Polytechnic University (12xjz14A).

Abstract:

In this article, we focus on cyclic and negacyclic codes of length 2ps over the ring R = Fpm + uFpm, where p is an odd prime. On the basis of the works of Dinh (in J.Algebra 324,940-950,2010), we use the Chinese Remainder Theorem to establish the alge-braic structure of cyclic and negacyclic codes of length 2ps over the ring Fpm +uFpm in terms of polynomial generators. Furthermore, we obtain the number of codewords in each of those cyclic and negacyclic codes.

Key words: Negacyclic codes, cyclic codes, repeated-root codes, finite chain ring, finite local ring

CLC Number: 

  • 94B05
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