Fq + vFq + v2Fq + v3Fq + v4Fq循环码的量子码

2021 4th International Conference on Advanced Communication Technologies and Networking (CommNet) Pub Date : 2021-12-03 DOI:10.1109/CommNet52204.2021.9641899

M. Sabiri

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引用次数: 20

摘要

在有限非链环${\mathbb{F}_q} + v{\mathbb{F}_q} + {v^2}{\mathbb{F}_q} + {v^3}{\mathbb{F}_q} + {v^4}{\mathbb{F}_q}$上构造${\mathbb{F}_q}$上的量子码，其中q=pr, p为奇数素数，4|p−1,v5 =v。

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Quantum codes from cyclic codes over Fq + vFq + v2Fq + v3Fq + v4Fq

We give a construction of quantum codes over ${\mathbb{F}_q}$ from cyclic codes over a finite non-chain ring ${\mathbb{F}_q} + v{\mathbb{F}_q} + {v^2}{\mathbb{F}_q} + {v^3}{\mathbb{F}_q} + {v^4}{\mathbb{F}_q}$, where q=pr, p is an odd prime, 4|p−1 and v5 =v.

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2021 4th International Conference on Advanced Communication Technologies and Networking (CommNet)

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