An improved method for constructing linear codes with small hulls
Information Theory
2022-04-12 v1 Cryptography and Security
math.IT
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.
Cite
@article{arxiv.2204.04584,
title = {An improved method for constructing linear codes with small hulls},
author = {Shitao Li},
journal= {arXiv preprint arXiv:2204.04584},
year = {2022}
}