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New Quantum MDS codes from Hermitian self-orthogonal generalized Reed-Solomon codes (2302.06169v6)
Published 13 Feb 2023 in cs.IT and math.IT
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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