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

02/13/2023

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by   Ruhao Wan, et al.

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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 four new classes of q-ary quantum MDS codes. The q-ary quantum MDS codes we construct have larger minimum distances. And the minimum distance of these codes is greater than q/2+1. Furthermore, it turns out that our quantum MDS codes generalize the previous conclusions.