QUANTUM CODES FROM CODES OVER THE RING $\mathbb{F}_{2^m}+\alpha \mathbb{F}_{2^m}+\beta \mathbb{F}_{2^m}+ \gamma \mathbb{F}_{2^m}$
QUANTUM CODES FROM CODES OVER THE RING $\mathbb{F}_{2^m}+\alpha \mathbb{F}_{2^m}+\beta \mathbb{F}_{2^m}+ \gamma \mathbb{F}_{2^m}$
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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- ISSN: 2618-5660
- Başlangıç: 2018
- Yayıncı: Gökhan ÇUVALCIOĞLU