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On Some Constacyclic Codes Over Z4[u]/〈u² - 1〉, Their Z4 Images, and New Codes

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dc.authorscopusid7005593252
dc.authorscopusid35363583100
dc.authorscopusid55225938200
dc.contributor.authorAydin, N.
dc.contributor.authorÇengellenmiş, Y.
dc.contributor.authorDertli, A.
dc.date.accessioned2020-06-21T13:11:08Z
dc.date.available2020-06-21T13:11:08Z
dc.date.issued2018
dc.departmentOndokuz Mayıs Üniversitesien_US
dc.department-temp[Aydin] Nuh, Department of Mathematics and Statistics, Kenyon College, Gambier, OH, United States; [Çengellenmiş] Yasemin, Department of Mathematics, Trakya Üniversitesi, Edirne, Edirne, Turkey; [Dertli] Abdullah, Department of Mathematics, Ondokuz Mayis University Faculty of Science and Arts, Samsun, Turkeyen_US
dc.description.abstractIn this paper, we study λ-constacyclic codes over the ring R= Z<inf>4</inf>+ uZ<inf>4</inf> where u2= 1 , for λ= 3 + 2 u and 2 + 3 u. Two new Gray maps from R to Z43 are defined with the goal of obtaining new linear codes over Z<inf>4</inf>. The Gray images of λ-constacyclic codes over R are determined. We then conducted a computer search and obtained many λ-constacyclic codes over R whose Z<inf>4</inf>-images have better parameters than currently best-known linear codes over Z<inf>4</inf>. © 2017, Springer Science+Business Media, LLC.en_US
dc.identifier.doi10.1007/s10623-017-0392-y
dc.identifier.endpage1255en_US
dc.identifier.issn0925-1022
dc.identifier.issn1573-7586
dc.identifier.issue6en_US
dc.identifier.scopus2-s2.0-85025081352
dc.identifier.scopusqualityQ3
dc.identifier.startpage1249en_US
dc.identifier.urihttps://doi.org/10.1007/s10623-017-0392-y
dc.identifier.urihttps://hdl.handle.net/20.500.12712/11621
dc.identifier.volume86en_US
dc.identifier.wosWOS:000430495300005
dc.identifier.wosqualityQ2
dc.language.isoenen_US
dc.publisherSpringer New York LLC barbara.b.bertram@gsk.comen_US
dc.relation.ispartofDesigns, Codes and Cryptographyen_US
dc.relation.journalDesigns Codes and Cryptographyen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectBest Known Codesen_US
dc.subjectCodes Over Ringsen_US
dc.subjectConstacyclic Codesen_US
dc.subjectGray Mapen_US
dc.subjectQuaternary Codesen_US
dc.titleOn Some Constacyclic Codes Over Z4[u]/〈u² - 1〉, Their Z4 Images, and New Codesen_US
dc.typeArticleen_US
dspace.entity.typePublication

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