Quantum codes constructed from cyclic codes over the ring 𝔽_q+v𝔽_q+v^2𝔽_q+v^3𝔽_q+v^4𝔽_q

12/27/2021

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by   Djoko Suprijanto, et al.

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In this article, we investigate properties of cyclic codes over a finite non-chain ring 𝔽_q+v𝔽_q+v^2𝔽_q+v^3𝔽_q+v^4𝔽_q, where q=p^r, r is a positive integer, p is an odd prime, 4 | (p-1), and v^5=v. As an application, we construct several quantum error correcting codes over the finite field 𝔽_q.