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

Authors : Ceremnur TETİK, Abdullah DERTLİ

Pages : 46-55

Doi:10.18185/erzifbed.911472

View : 13 | Download : 8

Publication Date : 2022-03-27

Article Type : Research Paper

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