On Quantum Codes Obtained From Cyclic Codes Over F_2+vF_2+v^2F_2
Information Theory
2014-07-07 v1 math.IT
Rings and Algebras
Quantum Physics
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.
Cite
@article{arxiv.1407.1232,
title = {On Quantum Codes Obtained From Cyclic Codes Over F_2+vF_2+v^2F_2},
author = {Abdullah Dertli and Yasemin Cengellenmis and Senol Eren},
journal= {arXiv preprint arXiv:1407.1232},
year = {2014}
}