Publication: On Quantum Codes Obtained from Cyclic Codes over A2
| 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 | 2020-06-21T13:47:05Z | |
| dc.date.available | 2020-06-21T13:47:05Z | |
| dc.date.issued | 2015 | |
| 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, quantum codes from cyclic codes over A<inf>2</inf> = F<inf>2</inf> + uF<inf>2</inf> + vF<inf>2</inf> + uvF<inf>2</inf>, u2 = u, v2 = v, uv = vu, for arbitrary length n have been constructed. It is shown that if C is self orthogonal over A<inf>2</inf>, then so is ψ(C), where ψ is a Gray map. A necessary and sufficient condition for cyclic codes over A<inf>2</inf> that contains its dual has also been given. Finally, the parameters of quantum error correcting codes are obtained from cyclic codes over A<inf>2</inf>. © 2015 World Scientific Publishing Company. | en_US |
| dc.identifier.doi | 10.1142/S0219749915500318 | |
| dc.identifier.issn | 0219-7499 | |
| dc.identifier.issn | 1793-6918 | |
| dc.identifier.issue | 3 | en_US |
| dc.identifier.scopus | 2-s2.0-84930415943 | |
| dc.identifier.scopusquality | Q3 | |
| dc.identifier.uri | https://doi.org/10.1142/S0219749915500318 | |
| dc.identifier.volume | 13 | en_US |
| dc.identifier.wos | WOS:000355688100010 | |
| 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.title | On Quantum Codes Obtained from Cyclic Codes over A2 | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication |