| Autor: |
Hai Q. Dinh, Bac T. Nguyen, Hiep L. Thi, Woraphon Yamaka |
| Jazyk: |
angličtina |
| Rok vydání: |
2022 |
| Předmět: |
|
| Zdroj: |
IEEE Access, Vol 10, Pp 119883-119904 (2022) |
| Druh dokumentu: |
article |
| ISSN: |
2169-3536 |
| DOI: |
10.1109/ACCESS.2022.3219498 |
| Popis: |
Let $p\not =5$ be any odd prime. Using the algebraic structures of all cyclic codes of length $5p^{s}$ over the finite commutative chain ring ${\mathcal{ R}}=\mathbb F_{p^{m}}+u\mathbb F_{p^{m}}$ , in this paper, the exact values of Hamming distances of all cyclic codes of length $5p^{s}$ over $\cal R$ are established. As an application, we identify all maximum distance separable cyclic codes of length $5p^{s}$ . |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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