New Quantum MDS Codes over Finite Fields
Abstract
In this paper, we present three 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 q2+1. Comparing to previous known constructions, the lengths of codes in our constructions are more flexible.
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