Some new quantum MDS codes derived from generalized Reed-Solomon codes

Xueying Shi, Qin Yue · Advances in Mathematics of Communications · 2022

Quantum maximum-distance-separable (MDS) codes are very important in coding theory. In this paper, we construct three classes of new quantum MDS codes with large minimum distance by classical Hermitian self-orthogonal generalized Reed-Solomon codes. Furthermore, these quantum MDS codes have more flexible lengths and larger minimum distance than those of some known quantum MDS codes.

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