Constructions of self-orthogonal and LCD subspace codes
Combinatorics
2024-07-09 v1
Abstract
Recently, the notions of self-orthogonal subspace codes and LCD subspace codes were introduced, and LCD subspace codes obtained from mutually unbiased weighing matrices were studied. In this paper, we provide a method of constructing self-orthogonal and LCD subspace codes from a set of matrices under certain conditions. In particular, we give constructions of self-orthogonal and LCD subspace codes from mutually quasi-unbiased weighing matrices, linked systems of symmetric designs, and linked systems of symmetric group divisible designs, Deza graphs and their equitable partitions.
Cite
@article{arxiv.2407.05695,
title = {Constructions of self-orthogonal and LCD subspace codes},
author = {Dean Crnković and Keita Ishizuka and Hadi Kharaghani and Sho Suda and Andrea Švob},
journal= {arXiv preprint arXiv:2407.05695},
year = {2024}
}
Comments
24 pages