Generalized nonbinary sequences with perfect autocorrelation, flexible alphabets and new periods

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dc.authoridBoztas, Serdar/0000-0001-6724-4366
dc.authoridTekin, Eda/0000-0001-9271-7487
dc.authoridOzbudak, Ferruh/0000-0002-1694-9283
dc.contributor.authorBoztas, Serdar
dc.contributor.authorOzbudak, Ferruh
dc.contributor.authorTekin, Eda
dc.date.accessioned2024-09-29T15:54:34Z
dc.date.available2024-09-29T15:54:34Z
dc.date.issued2018
dc.departmentKarabük Üniversitesien_US
dc.description.abstractWe extend the parameters and generalize existing constructions of perfect autocorrelation sequences over complex alphabets. In particular, we address the PSK+ constellation (Boztas and Udaya 2010) and present an extended number theoretic criterion which is sufficient for the existence of the new sequences with perfect autocorrelation. These sequences are shown to exist for nonprime alphabets and more general lengths in comparison to existing designs. The new perfect autocorrelation sequences provide novel alternatives for wireless communications and radar system designers for applications in ranging and synchronisation as well as channel identification.en_US
dc.description.sponsorshipAustralian Department of Defence; Scientific and Technological Research Council of Turkey BIDEB [2214-A]en_US
dc.description.sponsorshipSerdar Boztas was partially supported by an Australian Department of Defence grant. Eda Tekin was supported by a grant from The Scientific and Technological Research Council of Turkey BIDEB 2214-A Program to visit RMIT University where part of this work was performed. We thank the reviewers for their suggestions which greatly improved the presentation of the paper.en_US
dc.identifier.doi10.1007/s12095-017-0237-6
dc.identifier.endpage517en_US
dc.identifier.issn1936-2447
dc.identifier.issn1936-2455
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-85042283505en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage509en_US
dc.identifier.urihttps://doi.org/10.1007/s12095-017-0237-6
dc.identifier.urihttps://hdl.handle.net/20.500.14619/4159
dc.identifier.volume10en_US
dc.identifier.wosWOS:000444112600006en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofCryptography and Communications-Discrete-Structures Boolean Functions and Sequencesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectFeedback shift registersen_US
dc.subjectSequencesen_US
dc.subjectAutocorrelationen_US
dc.subjectFinite fieldsen_US
dc.titleGeneralized nonbinary sequences with perfect autocorrelation, flexible alphabets and new periodsen_US
dc.typeArticleen_US

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