Constructions of self-orthogonal and LCD subspace codes
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929413471338496 |
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| author | Crnković, Dean Ishizuka, Keita Kharaghani, Hadi Suda, Sho Švob, Andrea |
| author_facet | Crnković, Dean Ishizuka, Keita Kharaghani, Hadi Suda, Sho Švob, Andrea |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_05695 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Constructions of self-orthogonal and LCD subspace codes Crnković, Dean Ishizuka, Keita Kharaghani, Hadi Suda, Sho Švob, Andrea Combinatorics 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. |
| title | Constructions of self-orthogonal and LCD subspace codes |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2407.05695 |