A new approach to construct minimal linear codes over $\mathbb{F}_{3}$
Fuente:
arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
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| _version_ | 1866914804465139712 |
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| author | Shaikh, Wajid M. Jain, Rupali S. Reddy, B. Surendranath Patil, Bhagyashri S. Maqbol, Sahar M. A. |
| author_facet | Shaikh, Wajid M. Jain, Rupali S. Reddy, B. Surendranath Patil, Bhagyashri S. Maqbol, Sahar M. A. |
| contents | In this article, we present two new approaches to construct minimal linear codes of dimension $n+1$ over $\mathbb{F}_{3}$ using characteristic and ternary functions. We also obtain the weight distributions of these constructed minimal linear codes. We further show that a specific class of these codes violates Ashikhmin-Barg condition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_06768 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A new approach to construct minimal linear codes over $\mathbb{F}_{3}$ Shaikh, Wajid M. Jain, Rupali S. Reddy, B. Surendranath Patil, Bhagyashri S. Maqbol, Sahar M. A. Information Theory Rings and Algebras In this article, we present two new approaches to construct minimal linear codes of dimension $n+1$ over $\mathbb{F}_{3}$ using characteristic and ternary functions. We also obtain the weight distributions of these constructed minimal linear codes. We further show that a specific class of these codes violates Ashikhmin-Barg condition. |
| title | A new approach to construct minimal linear codes over $\mathbb{F}_{3}$ |
| topic | Information Theory Rings and Algebras |
| url | https://arxiv.org/abs/2404.06768 |