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

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

References

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