New quantum MDS codes with large minimum distance and short length from generalized Reed-Solomon codes

摘要

Quantum maximum-distance-separable (MDS) codes are an important class of quantum codes. In this paper we mainly use classical Hermitian self-orthogonal generalized Reed-Solomon codes to construct three classes of new quantum MDS codes. Further, these quantum MDS codes have large minimum distance and short length. (C) 2019 Elsevier B.V. All rights reserved.