论文标题

改进的方法,用于构建与小船体的线性代码

An improved method for constructing linear codes with small hulls

论文作者

Li, Shitao

论文摘要

在本文中,我们提供了一种通过在\ cite {lcd-t-t-matric}中概括该方法来构建线性代码的方法。结果,我们获得了许多最佳的欧几里得LCD代码和Hermitian LCD代码,它们在最大最小距离上改善了先前已知的下限。我们还获得了具有一维船体的许多最佳代码。此外,我们给出了三个关于正式自二LCD代码的表。

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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