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

Published 19 Jun 2014 in cs.IT, math.IT, math.RA, and quant-ph | (1407.1232v1)

Abstract: A new Gray map which is both an isometry and a weight preserving map from R=F_2+vF_2+v2F_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+v2F_2, v3=v is given. The parameters of quantum codes which are obtained from cyclic codes over R are determined.

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