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arXiv · 2302.06169

New Quantum MDS codes from Hermitian self-orthogonal generalized Reed-Solomon codes

Ruhao Wan·Shixin Zhu
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Abstract

Quantum maximum-distance-separable (MDS for short) codes are an important class of quantum codes. In this paper, by using Hermitian self-orthogonal generalized Reed-Solomon (GRS for short) codes, we construct five new classes of $q$-ary quantum MDS codes with minimum distance larger than $q/2+1$. Furthermore, the parameters of our quantum MDS code cannot be obtained from the previous constructions.

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Ruhao Wan, Shixin Zhu. 2023-02-13. New Quantum MDS codes from Hermitian self-orthogonal generalized Reed-Solomon codes. https://arxiv.org/abs/2302.06169

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