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Hulls of special typed linear codes and constructions of new EAQECCs

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.

preprint2022arXivOpen access
Lin Sok
math.ITInformation Theory
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Lin Sok

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