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QUANTUM CODES FROM CYCLIC CODES OVER F<sub>4</sub> + vF<sub>4</sub>
OZEN, MEHMET,ERTUNC, FAIK CEM,INCE, HALIT The Korean Society for Computational and Applied M 2016 Journal of applied mathematics & informatics Vol.34 No.5
In this work, a method is given to construct quantum codes from cyclic codes over F<sub>4</sub> + vF<sub>4</sub> which will be denoted as R throughout the paper, where v<sup>2</sup> = v and a Gray map is defined between R and where F<sub>4</sub> is the field with 4 elements. Some optimal quantum code parameters and others will be presented at the end of the paper.
Quantum Codes from Cyclic Codes over $F_4 + vF_4$
Mehmet Ozen,Faik Cem Ertunc,Halit Ince 한국전산응용수학회 2016 Journal of applied mathematics & informatics Vol.34 No.5
In this work, a method is given to construct quantum codes from cyclic codes over $ F_4 + vF_4$ which will be denoted as $R$ throughout the paper, where $v^2 = v$ and a Gray map is defined between $R$ and $F_4^2$, where $F_4$ is the field with $4$ elements. Some optimal quantum code parameters and others will be presented at the end of the paper.