Cyclic codes of length $n$ over finite chain rings
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866914046794530816 |
|---|---|
| author | Antil, Seema Kaur, Gurleen Khan, Manju |
| author_facet | Antil, Seema Kaur, Gurleen Khan, Manju |
| contents | In this paper, the cyclic codes of length $n$, where $n$ is odd with certain restrictions, over a finite chain ring $R$, have been studied using the structure of group algebra approach. The primitive idempotents of $RG$ of a finite cyclic group $G$ have been determined, and then the number of codewords and the minimum weight corresponding to a cyclic code have been computed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_06397 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Cyclic codes of length $n$ over finite chain rings Antil, Seema Kaur, Gurleen Khan, Manju Rings and Algebras Primary: 94B15, 06F25, 20C05, Secondary: 94A05, 94B65 In this paper, the cyclic codes of length $n$, where $n$ is odd with certain restrictions, over a finite chain ring $R$, have been studied using the structure of group algebra approach. The primitive idempotents of $RG$ of a finite cyclic group $G$ have been determined, and then the number of codewords and the minimum weight corresponding to a cyclic code have been computed. |
| title | Cyclic codes of length $n$ over finite chain rings |
| topic | Rings and Algebras Primary: 94B15, 06F25, 20C05, Secondary: 94A05, 94B65 |
| url | https://arxiv.org/abs/2509.06397 |