Journal of Jilin University Science Edition ›› 2020, Vol. 58 ›› Issue (3): 527-534.

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ZpZps[ξ]-Linear Skew Constacyclic Codes

SONG Xianmei, LIU Wei, CHEN Falong   

  1. College of Mathematics and Statistics, Anhui Normal University, Wuhu 241002, Anhui Province, China
  • Received:2019-07-22 Online:2020-05-26 Published:2020-05-20
  • Contact: SONG Xianmei E-mail:xianmeisongahnu@163.com

Abstract: We  define and study a class of submodule of ZpZps[ξ], that is the skew constacyclic code over  ZpZps[ξ], where   Zps[ξ] and   Zp[ξ]are Galois rings. Firstly, we discuss the generator matrix of   ZpZps[ξ] linear code. Secondly,  we give the generating polynomial set of skew constacyclic code over   ZpZps[ξ] by discussing the generating polynomial of skew constacyclic code over   Zps[ξ]. Finally, we give one example.

Key words: generator matrix, Galois ring, skew constacyclic code

CLC Number: 

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