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arXiv:1407.1232

On Quantum Codes Obtained From Cyclic Codes Over F_2+vF_2+v^2F_2

Abdullah Dertli, Yasemin Çengellenmiş, Şenol Eren

Published Jun 19, 2014• 1 citation
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Abstract

A new Gray map which is both an isometry and a weight preserving map from R=F_2+vF_2+v^2F_2 to (F_2)^3 is defined. A construction for quantum error correcting codes from cyclic codes over finite ring R=F_2+vF_2+v^2F_2, v^3=v is given. The parameters of quantum codes which are obtained from cyclic codes over R are determined.
DOI
10.48550/arxiv.1407.1232

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