Classification of binary, ternary and quaternary Hermitian LCD codes
Overview & Synopsis
We extend the complete classifications of linear complementary dual (LCD) codes from length 15 to length 19 in the binary case, from length 10 to length 15 in the ternary case and from length 12 to length 13 in the quaternary Hermitian case. The classification rests on a reduction of the monomial equivalence of LCD codes to graph isomorphism on the coordinates, combined with canonical augmentation.
Indexed from repository: arXiv
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arxiv.org)
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Document Information
| Document Title | Classification of binary, ternary and quaternary Hermitian LCD codes |
|---|---|
| Author / Organization | Keita Ishizuka |
| Subject & Discipline | cs.IT |
| Categories | Science & Mathematics |
| Publication Year | 2026 |
| License / Rights | arXiv Open Access / Creative Commons |
| Resource Verification | Listed PDF (Verification Pending) |
| Original Host Website |
arXiv
(arxiv.org)
|
| File Format | application/pdf (Portable Document Format) |
| Language | EN |
| Catalog ID | DOC-265289 |
| Original Source Link | Visit Source Page on arxiv.org » |