Explicit Characterizations for Plateaued-ness of p-ary (Vectorial) Functions

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dc.contributor.authorCarlet, Claude
dc.contributor.authorMesnager, Sihem
dc.contributor.authorOzbudak, Ferruh
dc.contributor.authorSinak, Ahmet
dc.date.accessioned2024-02-23T13:39:01Z
dc.date.available2024-02-23T13:39:01Z
dc.date.issued2017
dc.departmentNEÜen_US
dc.description2nd International Conference on Codes, Cryptology and Information Security (C2SI) In Honor of Claude Carlet -- APR 10-12, 2017 -- Rabat, MOROCCOen_US
dc.description.abstractPlateaued (vectorial) functions have an important role in the sequence and cryptography frameworks. Given their importance, they have not been studied in detail in general framework. Several researchers found recently results on their characterizations and introduced new tools to understand their structure and to design such functions. In this work, we mainly extend some of the observations made in characteristic 2 and given in (Carlet, IEEE Trans. Inf. Theor. 61(11), 6272- 6289, 2015) to arbitrary characteristic. We first extend to arbitrary characteristic the characterizations of plateaued (vectorial) Boolean functions by the autocorrelation functions, next their characterizations in terms of the secondorder derivatives, and finally their characterizations via the moments of the Walsh transform.en_US
dc.description.sponsorshipMinistere Enseignement Superieur, Rech Sci Format Cadres,Mohammed V Univ, Fac Sci,Ctr Marocain Rech Polytechniques & Innovat,Lab Math, Informatique & Applicat,Ministere Industrie, Commerce, Investissement & Economie Numerique,Moroccan Lab Math, Comp Sci & Applicaten_US
dc.description.sponsorshipScientific and Technological Research Council of Turkey (TUUBITAK)-BIDEB [2214-A]en_US
dc.description.sponsorshipThe fourth author is supported by the Scientific and Technological Research Council of Turkey (TUUBITAK)-BIDEB 2214-A program.en_US
dc.identifier.doi10.1007/978-3-319-55589-8_22
dc.identifier.endpage345en_US
dc.identifier.isbn978-3-319-55589-8
dc.identifier.isbn978-3-319-55588-1
dc.identifier.issn0302-9743
dc.identifier.issn1611-3349
dc.identifier.scopus2-s2.0-85015184288en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage328en_US
dc.identifier.urihttps://doi.org/10.1007/978-3-319-55589-8_22
dc.identifier.urihttps://hdl.handle.net/20.500.12452/10680
dc.identifier.volume10194en_US
dc.identifier.wosWOS:000426214500022en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringer International Publishing Agen_US
dc.relation.ispartofCodes, Cryptology And Information Security, C2si 2017en_US
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectVectorial Functionsen_US
dc.subjectP-Ary Functionsen_US
dc.subjectBent Functionsen_US
dc.subjectPlateaued Functionsen_US
dc.titleExplicit Characterizations for Plateaued-ness of p-ary (Vectorial) Functionsen_US
dc.typeConference Objecten_US

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