Quantum Codes from (1-2w-2uv)-Constacyclic Codes over the F_q+uF_q+vF_q+wF_q+uvF_q

Year 2022, Volume: 15 Issue: 1, 46 - 55, 27.03.2022

Ceremnur Tetik , Abdullah Dertli

https://doi.org/10.18185/erzifbed.911472

Abstract

In this paper, we give construction of quantum codes over F_q from (1-2w-2uv) - constacyclic codes over the F_q+uF_q+vF_q+wF_q+uvF_q, where u^2=u,v^2=v,w^2=w,uv=vu,uw=wu=vw=wv=0, q=p^m and p is an odd prime. We determine the parameters of quantum error correcting codes which constructed from (1-2w-2uv) - constacyclic codes over the F_q+uF_q+vF_q+wF_q+uvF_q.

Keywords

Quantum code, Constacyclic Code, Gray Map

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