Graphs of vectorial plateaued functions as difference sets
dc.authorwosid | Olmez, Oktay/AAI-1853-2020 | |
dc.authorwosid | Cesmelioglu, Ayca/AAE-4933-2020 | |
dc.contributor.author | Cesmelioglu, Ayca | |
dc.contributor.author | Olmez, Oktay | |
dc.date.accessioned | 2024-07-18T20:42:38Z | |
dc.date.available | 2024-07-18T20:42:38Z | |
dc.date.issued | 2021 | |
dc.department | İstanbul Bilgi Üniversitesi | en_US |
dc.description.abstract | A function F : F-pn -> F-pm , is a vectorial s-plateaued function if for each component function F-b(mu) = Tr-n(bF(x)), b is an element of F-pm* and mu is an element of F-pn , the Walsh transform value vertical bar(F-b) over cap(mu)vertical bar is either 0 or p(n+s/2) . In this paper, we explore the relation between (vectorial) s-plateaued functions and partial geometric difference sets. Moreover, we establish the link between three-valued cross-correlation of p-ary sequences and vectorial s-plateaued functions. Using this link, we provide a partition of F-3n into partial geometric difference sets. Conversely, using a partition of F-3n into partial geometric difference sets, we construct ternary plateaued functions f : F-3n -> F-3. We also give a characterization of p-ary plateaued functions in terms of special matrices which enables us to give the link between such functions and second-order derivatives using a different approach. (C) 2020 Elsevier Inc. All rights reserved. | en_US |
dc.description.sponsorship | TUBITAK Research Grant [115F064] | en_US |
dc.description.sponsorship | Oktay Olmez's research was supported by TUBITAK Research Grant Proj. No. 115F064. | en_US |
dc.identifier.doi | 10.1016/j.ffa.2020.101795 | |
dc.identifier.issn | 1071-5797 | |
dc.identifier.issn | 1090-2465 | |
dc.identifier.scopus | 2-s2.0-85098195082 | en_US |
dc.identifier.scopusquality | Q1 | en_US |
dc.identifier.uri | https://doi.org/10.1016/j.ffa.2020.101795 | |
dc.identifier.uri | https://hdl.handle.net/11411/7367 | |
dc.identifier.volume | 71 | en_US |
dc.identifier.wos | WOS:000620294000005 | en_US |
dc.identifier.wosquality | Q1 | en_US |
dc.indekslendigikaynak | Web of Science | en_US |
dc.indekslendigikaynak | Scopus | en_US |
dc.language.iso | en | en_US |
dc.publisher | Academic Press Inc Elsevier Science | en_US |
dc.relation.ispartof | Finite Fields and Their Applications | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Partial Geometric Designs | en_US |
dc.subject | Partial Geometric Difference Sets | en_US |
dc.subject | Plateaued Functions | en_US |
dc.subject | Three-Valued Cross-Correlation Function | en_US |
dc.subject | Bent | en_US |
dc.subject | Codes | en_US |
dc.title | Graphs of vectorial plateaued functions as difference sets | en_US |
dc.type | Article | en_US |