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arXiv · 1911.08416

New entanglement-assisted quantum MDS codes with length $n=\frac{q^2+1}5$

Shixin Zhu·Wan Jiang·Xiaojing Chen
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Abstract

The entanglement-assisted stabilizer formalism can transform arbitrary classical linear codes into entanglement-assisted quantum error correcting codes (EAQECCs). In this work, we construct some new entanglement-assisted quantum MDS (EAQMDS) codes with length $n=\frac{q^2+1}5$ from cyclic codes. Compared with all the previously known parameters with the same length, all of them have flexible parameters and larger minimum distance.

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Shixin Zhu, Wan Jiang, Xiaojing Chen. 2019-11-19. New entanglement-assisted quantum MDS codes with length $n=\frac{q^2+1}5$. https://arxiv.org/abs/1911.08416

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