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Two new classes of quantum MDS codes from generalized Reed-Solomon codes (2001.03445v2)
Published 6 Jan 2020 in cs.IT and math.IT
Abstract: In this paper, we mainly use classical Hermitian self-orthogonal generalized Reed-Solomon codes to construct two new classes of quantum MDS codes. Most of our quantum MDS codes have minimum distance larger than q/2+1. Compared with previously known constructions, these quantum MDS codes in our constructions have large minimum distance and their parameters are not covered by the previous codes.