Acta mathematica scientia,Series A ›› 2014, Vol. 34 ›› Issue (6): 1450-1455.

• Articles • Previous Articles     Next Articles

Cyclic Codes Over Rk,q

 ZHANG Xiao-Yan   

  1. School of Mathematics and Physics, Hubei Polytechnic University, Hubei Huangshi |435003
  • Received:2013-10-08 Revised:2014-04-06 Online:2014-12-25 Published:2014-12-25
  • Supported by:

    湖北省教育厅自然科学基金(D20144401)资助

Abstract:

A family of rings Rk,q is defined. Cyclic codes over a family of rings are studied. It is proved that the images of cyclic codes over these rings under Gray map are 2k-quasi-cyclic codes.

Key words: Local ring, Gray maps, Cyclic codes, l-Quasi-cyclic codes

CLC Number: 

  • 94B05
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