| Autor: |
Garg Disha, Dutt Sucheta |
| Jazyk: |
angličtina |
| Rok vydání: |
2024 |
| Předmět: |
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| Zdroj: |
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 32, Iss 3, Pp 75-88 (2024) |
| Druh dokumentu: |
article |
| ISSN: |
1844-0835 |
| DOI: |
10.2478/auom-2024-0029 |
| Popis: |
In this paper, we have determined the generators and rank of a 2D cyclic code of length mn over a finite chain ring ℛ with residue field 𝔽q, where m is arbitrary and q ≡ 1(mod n). Further, we have obtained a necessary and sufficient condition for a 2D cyclic code over a finite chain ring ℛ to be MHDR. Some examples of 2D cyclic codes have been constructed and ranks of these 2D cyclic codes have been calculated by us. We have also given a few examples of 2D cyclic codes over some finite chain rings, which are MHDR. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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