On a Class of Permutation Trinomials Over Finite Fields

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dc.authoridÖzkaya, Buket/0000-0003-2658-5441
dc.authorscopusid59245404200
dc.authorscopusid57190189096
dc.authorwosidÖzkaya, Buket/HJA-5809-2022
dc.contributor.authorTemür, Burcu Gülmez
dc.contributor.authorÖzkaya, Buket
dc.contributor.otherMathematics
dc.date.accessioned2024-09-10T21:34:12Z
dc.date.available2024-09-10T21:34:12Z
dc.date.issued2024
dc.departmentAtılım Universityen_US
dc.department-tempATILIM ÜNİVERSİTESİ,ORTA DOĞU TEKNİK ÜNİVERSİTESİen_US
dc.descriptionÖzkaya, Buket/0000-0003-2658-5441en_US
dc.description.abstractIn this paper, we study the permutation properties of the class of trinomials of the form f (x) = x4q+1 + λ1xq+4 + λ2x2q+3 ∈ Fq2 [x] , where λ1, λ2 ∈ Fq and they are not simultaneously zero. We find all necessary and sufficient conditions on λ1 and λ2 such that f (x) permutes Fq2 , where q is odd and q = 22k+1, k ∈en_US
dc.description.sponsorshipWe would like to thank the anonymous referees for their valuable suggestions and comments which improved our paper.en_US
dc.description.woscitationindexScience Citation Index Expanded
dc.identifier.citationcount0
dc.identifier.doi10.55730/1300-0098.3540
dc.identifier.endpage792en_US
dc.identifier.issn1300-0098
dc.identifier.issn1303-6149
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-85200392961
dc.identifier.scopusqualityQ2
dc.identifier.startpage778en_US
dc.identifier.trdizinid1252453
dc.identifier.urihttps://doi.org/10.55730/1300-0098.3540
dc.identifier.urihttps://search.trdizin.gov.tr/en/yayin/detay/1252453/on-a-class-of-permutation-trinomials-over-finite-fields
dc.identifier.volume48en_US
dc.identifier.wosWOS:001265734400010
dc.identifier.wosqualityQ2
dc.institutionauthorGülmez Temür, Burcu
dc.language.isoenen_US
dc.publisherTubitak Scientific & Technological Research Council Turkeyen_US
dc.relation.ispartofTurkish Journal of Mathematicsen_US
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectPermutation polynomialsen_US
dc.subjectfinite fieldsen_US
dc.subjectHasse -Weil bounden_US
dc.subjectcryptographyen_US
dc.titleOn a Class of Permutation Trinomials Over Finite Fieldsen_US
dc.typeArticleen_US
dspace.entity.typePublication
relation.isAuthorOfPublicationf5db1fdd-5efd-4262-b210-1d7c6fd78ac7
relation.isAuthorOfPublication.latestForDiscoveryf5db1fdd-5efd-4262-b210-1d7c6fd78ac7
relation.isOrgUnitOfPublication31ddeb89-24da-4427-917a-250e710b969c
relation.isOrgUnitOfPublication.latestForDiscovery31ddeb89-24da-4427-917a-250e710b969c

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