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Hulls of special typed linear codes and constructions of new EAQECCs

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arxiv 2207.07792 v1 pith:J7MQIKSN submitted 2022-07-16 cs.IT math.IT

Lin Sok This is my paper · ORCID
classification cs.ITmath.IT
keywords codeshullsconstructionsgeneralizedhermitianlinearreed-solomontyped
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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.

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  1. The Hermitian Hull Dimensions for a Class of (L,P)-Twisted Generalized Reed-Solomon Codes

    cs.IT 2026-07 accept novelty 6.0 of 10

    Hermitian hull dimensions of the codes C_{q+j}(α) are fully determined in three cases on i and q+1, producing EAQECC parameters [[i(q-1), q-1+m, d, (i-2)(q-1)+m]]_q for m=0,1,2,3.

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