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Hulls of special typed linear codes and constructions of new EAQECCs (2207.07792v1)
Published 16 Jul 2022 in cs.IT and math.IT
Abstract: In this paper, we study Euclidean and Hermitian hulls of generalized Reed-Solomon codes and twisted generalized Reed-Solomon codes, as well as the Hermitian hulls of Roth-Lempel typed codes. We present explicit constructions of MDS and AMDS linear codes for which their hull dimensions are well determined. As an application, we provide several classes of entanglement-assisted quantum error correcting codes with new parameters.