Explicit Full Correlation Distribution of Sequence Families Using Plateaued Functions

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dc.authoridBoztas, Serdar/0000-0001-6724-4366
dc.authoridOzbudak, Ferruh/0000-0002-1694-9283
dc.authoridTekin, Eda/0000-0001-9271-7487
dc.contributor.authorBoztas, Serdar
dc.contributor.authorOzbudak, Ferruh
dc.contributor.authorTekin, Eda
dc.date.accessioned2024-09-29T16:04:31Z
dc.date.available2024-09-29T16:04:31Z
dc.date.issued2018
dc.departmentKarabük Üniversitesien_US
dc.description.abstractThe design of code division multiple access sequence families dates back to the Gold sequences from the 1960s. Since then there has been a number of different such designs with good correlation properties, some optimal and some near-optimal. In this paper, we use the concept of plateaued functions with arbitrary degree, in order to compute their full correlation distributions. First, we give an explicit correlation distribution of a sequence family using a non-quadratic function. Then for the quadratic functions, we present a general classification of Gold-like sequence families for all possible characteristics p and degrees n of the Galois field F-pn used to define the sequences. We are able to obtain the full correlation distribution of the families we consider. This paper also uses techniques from the theory of algebraic curves in order to obtain some of the results.en_US
dc.description.sponsorshipMiddle East Technical University [BAP-07-05-2016-005, BAP-01-01-2016-008]en_US
dc.description.sponsorshipManuscript received February 13, 2017; revised October 15, 2017; accepted December 22, 2017. Date of publication January 3, 2018; date of current version March 15, 2018. This work was supported by Middle East Technical University for the projects under Grant BAP-07-05-2016-005 and Grant BAP-01-01-2016-008. This paper was presented in part at the 2017 IEEE International Symposium on Information Theory.en_US
dc.identifier.doi10.1109/TIT.2017.2789208
dc.identifier.endpage2875en_US
dc.identifier.issn0018-9448
dc.identifier.issn1557-9654
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-85040067797en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage2858en_US
dc.identifier.urihttps://doi.org/10.1109/TIT.2017.2789208
dc.identifier.urihttps://hdl.handle.net/20.500.14619/6175
dc.identifier.volume64en_US
dc.identifier.wosWOS:000427858200005en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherIeee-Inst Electrical Electronics Engineers Incen_US
dc.relation.ispartofIeee Transactions On Information Theoryen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectSequencesen_US
dc.subjectcross-correlationen_US
dc.subjectalgebraic coding theoryen_US
dc.subjectalgebraic curves over finite fieldsen_US
dc.subjectplateaued functionsen_US
dc.subjectnon-quadratic functionsen_US
dc.titleExplicit Full Correlation Distribution of Sequence Families Using Plateaued Functionsen_US
dc.typeArticleen_US

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