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arXiv · 2407.05695

Constructions of self-orthogonal and LCD subspace codes

Dean Crnković·Keita Ishizuka·Hadi Kharaghani·Sho Suda·Andrea Švob
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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.

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Dean Crnković, Keita Ishizuka, Hadi Kharaghani, Sho Suda, Andrea Švob. 2024-07-08. Constructions of self-orthogonal and LCD subspace codes. https://arxiv.org/abs/2407.05695

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