On the linear codes over the ring Rp
| dc.contributor.author | Dertli, Abdullah | |
| dc.contributor.author | Cengellenmis, Yasemin | |
| dc.contributor.author | Eren, Senol | |
| dc.date.accessioned | 2024-06-12T11:13:13Z | |
| dc.date.available | 2024-06-12T11:13:13Z | |
| dc.date.issued | 2016 | |
| dc.department | Trakya Üniversitesi | en_US |
| dc.description.abstract | Some results are generalized on linear codes over Z(3)[v]/< v(3) - v > in [15] to the ring R-p = Z(p)[v]/< v(p) - v >, where p is an odd prime number. The Gray images of cyclic and quasi-cyclic codes over R-p are obtained. The parameters of quantum error correcting codes are obtained from negacyclic codes over R-p. A nontrivial automorphism theta(p) on the ring R-p is determined. By using this, the skew cyclic, skew quasi-cyclic, skew constacyclic codes over R-p are introduced. The number of distinct skew cyclic codes over R-p is given. The Gray images of skew codes over R-p are obtained. The quasi-constacyclic and skew quasi-constacyclic codes over R-p are introduced. MacWilliams identities of linear codes over R-p are given. | en_US |
| dc.identifier.doi | 10.1142/S1793830916500361 | |
| dc.identifier.issn | 1793-8309 | |
| dc.identifier.issn | 1793-8317 | |
| dc.identifier.issue | 2 | en_US |
| dc.identifier.scopus | 2-s2.0-85081731553 | en_US |
| dc.identifier.scopusquality | Q3 | en_US |
| dc.identifier.uri | https://doi.org/10.1142/S1793830916500361 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14551/23471 | |
| dc.identifier.volume | 8 | en_US |
| dc.identifier.wos | WOS:000377678500019 | en_US |
| dc.identifier.wosquality | N/A | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.indekslendigikaynak | Scopus | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | World Scientific Publ Co Pte Ltd | en_US |
| dc.relation.ispartof | Discrete Mathematics Algorithms And Applications | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Quantum Codes | en_US |
| dc.subject | Cyclic Codes | en_US |
| dc.subject | Skew Codes | en_US |
| dc.subject | Finite Rings | en_US |
| dc.subject | Cyclic Codes | en_US |
| dc.subject | Algebraic Structure | en_US |
| dc.subject | Constacyclic Codes | en_US |
| dc.subject | Quantum Codes | en_US |
| dc.subject | Construction | en_US |
| dc.title | On the linear codes over the ring Rp | en_US |
| dc.type | Article | en_US |
