On (1+u)-cyclic and Cyclic Codes over F2+uF2+vF2

Authors

  • Abdullah Dertli
  • Yasemin Cengellenmis

Keywords:

Gray map, cyclic codes, quasi-cyclic codes, finite ring

Abstract

It is studied codes over the ring R=F2+uF2+vF2,  u^2=0,v^2=v,uv=vu=0 which contains the two ring F2+uF2, u^2=0 and F2+vF2, v^2=v. It is introduced (1+u)-cyclic codes and cyclic codes over F2+uF2+vF2. It is characterized codes over F2+vF2 which are the images of (1+u)-cyclic codes and cyclic codes over F2+uF2+vF2. It is obtained a representation of a linear code of length n over  R by means of C1 and C2 which are linear codes of length n over F2+uF2 . It is also characterized codes over F2 which are the Gray images of (1+u)-cyclic codes or cyclic codes over F2+uF2+vF2.

Author Biography

  • Abdullah Dertli
    Ondokuz Mayis University, Department of Mathematics

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Published

2016-07-02

Issue

Section

Coding Theory and Cryptology

How to Cite

On (1+u)-cyclic and Cyclic Codes over F2+uF2+vF2. (2016). European Journal of Pure and Applied Mathematics, 9(3), 305-313. https://www.ejpam.com/index.php/ejpam/article/view/2537