Publication: On Gray Images of Constacyclic Codes Over the Finite Ring F-2 + u(1)F(2) + u(2)F(2)
| dc.contributor.author | Ozkan, Mustafa | |
| dc.contributor.author | Dertli, Abdullah | |
| dc.contributor.author | Cengellenmis, Yasemin | |
| dc.date.accessioned | 2020-06-21T13:05:05Z | |
| dc.date.available | 2020-06-21T13:05:05Z | |
| dc.date.issued | 2019 | |
| dc.department | OMÜ | en_US |
| dc.department-temp | [Ozkan, Mustafa -- Cengellenmis, Yasemin] Trakya Univ, Dept Math, Edirne, Turkey -- [Dertli, Abdullah] Ondokuz Mayis Univ, Dept Math, Samsun, Turkey -- | en_US |
| dc.description.abstract | We introduce the finite ring F-2 + u(1)F(2) + u(2)F(2), u(1)(2) = u(1), u(2)(2) = 0, u(1).u(2) = u(2).u(1) = 0 which is not a finite chain ring. We focus on (1 + u(2)) -constacyclic codes over F-2 + u(1)F(2) + u(2)F(2) of odd length. We prove that the Gray image of a linear (1 + u(2)) -constacyclic code over F-2 + u(1)F(2) + u(2)F(2) of odd length n is a quasi-cyclic code of index 4 and length 4 n over F-2. | en_US |
| dc.identifier.endpage | 881 | en_US |
| dc.identifier.issn | 2146-1147 | |
| dc.identifier.issue | 4 | en_US |
| dc.identifier.startpage | 876 | en_US |
| dc.identifier.uri | https://hdl.handle.net/20.500.12712/11094 | |
| dc.identifier.volume | 9 | en_US |
| dc.identifier.wos | WOS:000488642900019 | |
| dc.language.iso | en | en_US |
| dc.publisher | Turkic World Mathematical Soc | en_US |
| dc.relation.journal | Twms Journal of Applied and Engineering Mathematics | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Constacyclic Code | en_US |
| dc.subject | Gray Image | en_US |
| dc.title | On Gray Images of Constacyclic Codes Over the Finite Ring F-2 + u(1)F(2) + u(2)F(2) | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication |