Linear and cyclic codes over some special rings
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866918527500288000 |
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| author | Flaut, Cristina Bercea-Straton, Bianca Liana |
| author_facet | Flaut, Cristina Bercea-Straton, Bianca Liana |
| contents | In this paper, we describe linear and cyclic codes over the rings of the form $R_{s,p}=\mathbb{Z}_{p}[u]/\left( f\left(u\right) /\left( u-s\right) \right)$, where $p$ is a prime number and $f\left( u\right) =u^{p}-u$, with $s\in \{0,1,...,p-1\}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_03031 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Linear and cyclic codes over some special rings Flaut, Cristina Bercea-Straton, Bianca Liana Information Theory Rings and Algebras In this paper, we describe linear and cyclic codes over the rings of the form $R_{s,p}=\mathbb{Z}_{p}[u]/\left( f\left(u\right) /\left( u-s\right) \right)$, where $p$ is a prime number and $f\left( u\right) =u^{p}-u$, with $s\in \{0,1,...,p-1\}$. |
| title | Linear and cyclic codes over some special rings |
| topic | Information Theory Rings and Algebras |
| url | https://arxiv.org/abs/2605.03031 |