Open AccessQUANTUM CODES FROM CYCLIC CODES OVER THE F_q+uF_q+vF_q+wF_q+uvF_q
Author(s) -
Ceremnur Tetik,
Abdullah Dertli
Publication year - 2021
Publication title -
journal of science and arts
Language(s) - English
Resource type - Journals
eISSN - 2068-3049
pISSN - 1844-9581
DOI - 10.46939/j.sci.arts-21.3-a01
Subject(s) - physics , prime (order theory) , quantum , mathematics , combinatorics , quantum mechanics
In this paper, we give construction of quantum codes over F_q from cyclic 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 cyclic codes over the F_q+uF_q+vF_q+wF_q+uvF_q. Finally, we give some examples of quantum codes.
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