Strongly Regular Graphs from Weakly Regular Plateaued Functions

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dc.contributor.authorMesnager, Sihem
dc.contributor.authorSinak, Ahmet
dc.date.accessioned2024-02-23T14:23:52Z
dc.date.available2024-02-23T14:23:52Z
dc.date.issued2019
dc.departmentNEÜen_US
dc.description9th International Workshop on Signal Design and its Applications in Communications (IWSDA) -- OCT 20-24, 2019 -- Dongguan, PEOPLES R CHINAen_US
dc.description.abstractThis paper presents the first construction of strongly regular graphs and association schemes from weakly regular plateaued functions over the finite fields of odd characteristic. Indeed, we generalize the construction method of strongly regular graphs from weakly regular bent functions given by Chee et al. [Journal of Algebraic Combinatorics, 34(2), 251-266, 2011] to weakly regular plateaued functions. In this framework, we construct strongly regular graphs with three types of parameters from weakly regular plateaued functions with some homogeneous conditions. We also construct a family of association schemes of class p from weakly regular plateaued p-ary functions.en_US
dc.description.sponsorshipScientific and Technological Research Council of Turkey (TUBITAK) [BIDEB 2219]en_US
dc.description.sponsorshipThe authors extend their thanks to the anonymous reviewers of the IWSDA'19 for their valuable comments. The second author is supported by the Scientific and Technological Research Council of Turkey (TUBITAK), program no: BIDEB 2219.en_US
dc.identifier.doi10.1109/iwsda46143.2019.8966118
dc.identifier.isbn978-1-7281-1669-3
dc.identifier.issn2150-3680
dc.identifier.urihttps://doi.org/10.1109/iwsda46143.2019.8966118
dc.identifier.urihttps://hdl.handle.net/20.500.12452/13734
dc.identifier.wosWOS:000540642800032en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherIEEEen_US
dc.relation.ispartof2019 Ninth International Workshop On Signal Design And Its Applications In Communications (Iwsda)en_US
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectAssociation Schemeen_US
dc.subjectPartial Difference Seten_US
dc.subjectStrongly Regular Graphen_US
dc.subjectWeakly Regular Plateaued Functionen_US
dc.titleStrongly Regular Graphs from Weakly Regular Plateaued Functionsen_US
dc.typeConference Objecten_US

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