Acta mathematica scientia,Series A ›› 2013, Vol. 33 ›› Issue (4): 696-701.

• Articles • Previous Articles     Next Articles

A Class of Constacyclic Codes Over Fp+uFp+vFp+uvFp

 ZHU Shi-Xin, WANG Li-Qi   

  1. School of Mathematics, Hefei University of Technology, Hefei 230009
  • Received:2012-01-12 Revised:2013-05-07 Online:2013-08-25 Published:2013-08-25
  • Supported by:

    国家自然科学基金(60973125)资助.

Abstract:

The ring Fp+uFp+vFp+uvFp is not a finite chain ring and also not a principle ideal ring. In this paper, we study (1+λu)-constacyclic codes over the ring R=Fp+uFp+vFp+uvFp, where Fp is a finite field with p elements, u2=v2=0, uv=vu and λ is the unit in R. The structure of such constacyclic codes for an arbitrary length is determined. By using this structure, some p-ary linear codes with good parameters are also constructed.

Key words: Constacyclic codes, Gray map, Homogeneous distance, Gray distance

CLC Number: 

  • 94B05
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