Optimal additive quaternary codes of dimension $3.5$ and $4$
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914540899270656 |
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| author | Kurz, Sascha |
| author_facet | Kurz, Sascha |
| contents | After the optimal parameters of additive quaternary codes of dimension $k\le 3$ have been determined there is some recent activity to settle the next case of dimension $k=3.5$. Here we complete dimension $k=3.5$ and $k=4$. We also solve the problem of the optimal parameters of additive quaternary codes of arbitrary dimension when assuming a sufficiently large minimum distance. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_07650 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Optimal additive quaternary codes of dimension $3.5$ and $4$ Kurz, Sascha Combinatorics Information Theory 94Bxx, 51E22 After the optimal parameters of additive quaternary codes of dimension $k\le 3$ have been determined there is some recent activity to settle the next case of dimension $k=3.5$. Here we complete dimension $k=3.5$ and $k=4$. We also solve the problem of the optimal parameters of additive quaternary codes of arbitrary dimension when assuming a sufficiently large minimum distance. |
| title | Optimal additive quaternary codes of dimension $3.5$ and $4$ |
| topic | Combinatorics Information Theory 94Bxx, 51E22 |
| url | https://arxiv.org/abs/2410.07650 |