Publication: Some Results on the Linear Codes over the Finite Ring F 2 + V 1 F 2 + ⋯ + V R F 2
| dc.authorscopusid | 55225938200 | |
| dc.authorscopusid | 35363583100 | |
| dc.authorscopusid | 55210162500 | |
| dc.contributor.author | Dertli, A. | |
| dc.contributor.author | Çengellenmiş, Y. | |
| dc.contributor.author | Eren, S. | |
| dc.date.accessioned | 2020-06-21T13:34:29Z | |
| dc.date.available | 2020-06-21T13:34:29Z | |
| dc.date.issued | 2016 | |
| dc.department | Ondokuz Mayıs Üniversitesi | en_US |
| dc.department-temp | [Dertli] Abdullah, Department of Mathematics, Ondokuz Mayis University Faculty of Science and Arts, Samsun, Turkey; [Çengellenmiş] Yasemin, Department of Mathematics, Trakya Üniversitesi, Edirne, Edirne, Turkey; [Eren] Şenol, Department of Mathematics, Ondokuz Mayis University Faculty of Science and Arts, Samsun, Turkey | en_US |
| dc.description.abstract | In this paper, we study the structure of cyclic, quasi-cyclic codes and their skew codes over the finite ring Br=F2+v1F2+⋯+vrF2, vi2=vi,vivj=vjvi=0,1≤i,j≤r for r≥1. The Gray images of cyclic, quasi-cyclic, skew cyclic, skew quasi-cyclic codes over Br are obtained. A necessary and sufficient condition for cyclic code over Br that contains its dual has been given. The parameters of quantum error correcting codes are obtained from cyclic codes over Br. © 2016 World Scientific Publishing Company. | en_US |
| dc.identifier.doi | 10.1142/S021974991650012X | |
| dc.identifier.issn | 0219-7499 | |
| dc.identifier.issn | 1793-6918 | |
| dc.identifier.issue | 1 | en_US |
| dc.identifier.scopus | 2-s2.0-84964553492 | |
| dc.identifier.scopusquality | Q3 | |
| dc.identifier.uri | https://doi.org/10.1142/S021974991650012X | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12712/13501 | |
| dc.identifier.volume | 14 | en_US |
| dc.identifier.wos | WOS:000377769900008 | |
| dc.identifier.wosquality | Q4 | |
| dc.language.iso | en | en_US |
| dc.publisher | World Scientific | en_US |
| dc.relation.ispartof | International Journal of Quantum Information | en_US |
| dc.relation.journal | International Journal of Quantum Information | 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 | Cyclic Codes | en_US |
| dc.subject | Finite Rings | en_US |
| dc.subject | Quantum Codes | en_US |
| dc.subject | Skew Codes | en_US |
| dc.title | Some Results on the Linear Codes over the Finite Ring F 2 + V 1 F 2 + ⋯ + V R F 2 | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication |