Publication: Some Constacyclic Codes over Z4 [u]/(u2), New Gray Maps, and New Quaternary Codes
| dc.authorscopusid | 35363583100 | |
| dc.authorscopusid | 55225938200 | |
| dc.authorscopusid | 7005593252 | |
| dc.contributor.author | Çengellenmiş, Y. | |
| dc.contributor.author | Dertli, A. | |
| dc.contributor.author | Aydin, N. | |
| dc.date.accessioned | 2020-06-21T13:07:21Z | |
| dc.date.available | 2020-06-21T13:07:21Z | |
| dc.date.issued | 2018 | |
| dc.department | Ondokuz Mayıs Üniversitesi | en_US |
| dc.department-temp | [Çengellenmiş] Yasemin, Department of Mathematics, Trakya Üniversitesi, Edirne, Edirne, Turkey; [Dertli] Abdullah, Department of Mathematics, Ondokuz Mayis Üniversitesi, Samsun, Turkey; [Aydin] Nuh, Department of Mathematics and Statistics, Kenyon College, Gambier, OH, United States | en_US |
| dc.description.abstract | In this paper, we study λ-constacyclic codes over the ring R = Z<inf>4</inf> + uZ<inf>4</inf>, where u2 = 0, for λ =1 + 3u and 3 + u. We introduce two new Gray maps from R to Z<inf>4</inf> 4 and show that the Gray images of λ-constacyclic codes over R are quasi-cyclic over Z<inf>4</inf>. Moreover, we present many examples of λ-constacyclic codes over R whose Z<inf>4</inf>-images have better parameters than the currently best-known linear codes over Z<inf>4</inf>. © 2018 Academy of Mathematics and Systems Science, Chinese Academy of Sciences. | en_US |
| dc.identifier.doi | 10.1142/S1005386718000263 | |
| dc.identifier.endpage | 376 | en_US |
| dc.identifier.issn | 1005-3867 | |
| dc.identifier.issn | 0219-1733 | |
| dc.identifier.issue | 3 | en_US |
| dc.identifier.scopus | 2-s2.0-85051465004 | |
| dc.identifier.scopusquality | Q4 | |
| dc.identifier.startpage | 369 | en_US |
| dc.identifier.uri | https://doi.org/10.1142/S1005386718000263 | |
| dc.identifier.volume | 25 | en_US |
| dc.identifier.wos | WOS:000441743000002 | |
| dc.identifier.wosquality | Q4 | |
| dc.language.iso | en | en_US |
| dc.publisher | World Scientific Publishing Co. Pte Ltd wspc@wspc.com.sg | en_US |
| dc.relation.ispartof | Algebra Colloquium | en_US |
| dc.relation.journal | Algebra Colloquium | 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 | Codes Over Rings | en_US |
| dc.subject | Constacyclic Codes | en_US |
| dc.subject | Gray Maps | en_US |
| dc.subject | Quaternary Codes | en_US |
| dc.title | Some Constacyclic Codes over Z4 [u]/(u2), New Gray Maps, and New Quaternary Codes | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication |
