New Quantum Generalized Reed-Solomn Codes over Finite Fields
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In this paper, we present five new classes of q-ary quantum MDS codes utilizing generalized Reed-Solomon codes satisfying Hermitian self-orthogonal property. Among our constructions, the minimum distance of some q-ary quantum MDS codes can be bigger than q/2+1. Comparing to previous known constrictions, the lengths of codes in our constructions are more flexible.
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