CORRELATION DISTRIBUTION OF A SEQUENCE FAMILY GENERALIZING SOME SEQUENCES OF TRACHTENBERG

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dc.contributor.authorOzbudak, Ferruh
dc.contributor.authorTekin, Eda
dc.date.accessioned2024-09-29T16:08:23Z
dc.date.available2024-09-29T16:08:23Z
dc.date.issued2021
dc.departmentKarabük Üniversitesien_US
dc.description.abstractIn this paper, we give a classification of a sequence family, over arbitrary characteristic, adding linear trace terms to the function g(x) = Tr(x(d)), where d = p(2k) - p(k) + 1, first introduced by Trachtenberg. The family has p(n) + 1 cyclically distinct sequences with period p(n) - 1. We compute the exact correlation distribution of the function g(x) with linear m-sequences and amongst themselves. The cross-correlation values are obtained as C-i,C-j(tau) is an element of {-1, -1 +/- p(n+e/2), -1 + p(n)}.en_US
dc.identifier.doi10.3934/amc.2020087
dc.identifier.endpage662en_US
dc.identifier.issn1930-5346
dc.identifier.issn1930-5338
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-85122294252en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage647en_US
dc.identifier.urihttps://doi.org/10.3934/amc.2020087
dc.identifier.urihttps://hdl.handle.net/20.500.14619/7518
dc.identifier.volume15en_US
dc.identifier.wosWOS:000687817100006en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherAmer Inst Mathematical Sciences-Aimsen_US
dc.relation.ispartofAdvances in Mathematics of Communicationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectSequencesen_US
dc.subjectcross-correlationen_US
dc.subjectplateaued functionsen_US
dc.titleCORRELATION DISTRIBUTION OF A SEQUENCE FAMILY GENERALIZING SOME SEQUENCES OF TRACHTENBERGen_US
dc.typeArticleen_US

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