QUANTUM CODES FROM CODES OVER THE RING $mathbb{F}_{2^m}+alpha mathbb{F}_{2^m}+beta mathbb{F}_{2^m}+ gamma mathbb{F}_{2^m}$

Authors : Murat GÜZELTEPE, Mustafa ERÖZ

Pages : 127-136

Doi:10.33773/jum.590694

View : 51 | Download : 11

Publication Date : 2019-07-29

Article Type : Research Paper

Abstract :Let $i,j,k$ be elements of real quaternions $\mathbb{H}$. Let $\alpha , \beta , \gamma$ be the elements corresponding to $1+i, 1+j, 1+k,$ respectively. In this study,  quantum codes from classical codes over $\mathbb{F}_{2^m}+\alpha \mathbb{F}_{2^m}+\beta \mathbb{F}_{2^m}+ \gamma \mathbb{F}_{2^m}$ are obtained.
Keywords : quantum codes, linear codes

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