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An improved method for constructing linear codes with small hulls
Published 10 Apr 2022 in cs.IT, cs.CR, and math.IT | (2204.04584v1)
Abstract: In this paper, we give a method for constructing linear codes with small hulls by generalizing the method in \cite{LCD-T-matric}. As a result, we obtain many optimal Euclidean LCD codes and Hermitian LCD codes, which improve the previously known lower bound on the largest minimum distance. We also obtain many optimal codes with one-dimension hull. Furthermore, we give three tables about formally self-dual LCD codes.
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