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arxiv: 2204.04584 · v1 · pith:CZIY6I6Dnew · submitted 2022-04-10 · 💻 cs.IT · cs.CR· math.IT

An improved method for constructing linear codes with small hulls

classification 💻 cs.IT cs.CRmath.IT
keywords codesmethodconstructinggivehullslinearmanyobtain
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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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