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 : 17 | Download : 9

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