An improved method for constructing linear codes with small hulls

04/10/2022

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by   Shitao Li, et al.

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In this paper, we give a method for constructing linear codes with small hulls by generalizing the method in <cit.>. 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.