k-autocorrelation and its applications

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dc.contributor.authorÖzimamoğlu, Hayrullah
dc.contributor.authorŞahin, Murat
dc.contributor.authorÖlmez, Oktay
dc.contributor.departmentMatematiktr_TR
dc.contributor.facultyFen Fakültesitr_TR
dc.date.accessioned2021-10-28T08:05:33Z
dc.date.available2021-10-28T08:05:33Z
dc.date.issued2019-02-01
dc.description.abstractThe standard autocorrelation measures similarities between a binary sequence and its any shifted form. In this paper, we introduce the concept of the k-autocorrelation of a binary sequence as a generalization of the standard autocorrelation. We give two applications of the k-autocorrelation. The first one is related the additive circulant codes over F₄ in coding theory. We use the k-autocorrelation to determine the minimum distance of additive circulant codes over F₄. The second one is related the (7,3,1)-BIBD in design theory. The k-autocorrelation coefficients give us information about the lines in the (7,3,1)-BIBD.tr_TR
dc.description.indexTrdizintr_TR
dc.identifier.endpage685tr_TR
dc.identifier.issn/e-issn2618-6470
dc.identifier.issue1tr_TR
dc.identifier.startpage672tr_TR
dc.identifier.urihttps://doi.org/10.31801/cfsuasmas.459971tr_TR
dc.identifier.urihttp://hdl.handle.net/20.500.12575/75810
dc.identifier.volume68tr_TR
dc.language.isoentr_TR
dc.publisherAnkara Üniversitesi Fen Fakültesitr_TR
dc.relation.isversionof10.31801/cfsuasmas.459971tr_TR
dc.relation.journalCommunications Faculty of Sciences University of Ankara Series A1 Mathematics and Statisticstr_TR
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıtr_TR
dc.subjectAutocorrelationtr_TR
dc.subjectAdditive circulant codestr_TR
dc.subjectFano planetr_TR
dc.titlek-autocorrelation and its applicationstr_TR
dc.typeArticletr_TR

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Cilt:68 Sayı:01 (2019)