On the index of the Diffie–Hellman mapping

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dc.authoridLeyla Işık Lavrauw / 0000-0001-9481-4205en_US
dc.authorscopusidLeyla Işık Lavrauw / 57195368046
dc.authorwosidLeyla Işık Lavrauw / AAS-1167-2020
dc.contributor.authorIşık Lavrauw, Leyla
dc.contributor.authorWinterhof, Arne
dc.date.accessioned2020-11-30T08:38:45Z
dc.date.available2020-11-30T08:38:45Z
dc.date.issued2020en_US
dc.departmentİstinye Üniversitesi, Mühendislik ve Doğa Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractLet ? be a generator of a cyclic group G of order n. The least index of a self-mapping f of G is the index of the largest subgroup U of G such that f(x) x-r is constant on each coset of U for some positive integer r. We determine the index of the univariate Diffie–Hellman mapping d(?a)=?a2, a= 0 , 1 , … , n- 1 , and show that any mapping of small index coincides with d only on a small subset of G. Moreover, we prove similar results for the bivariate Diffie–Hellman mapping D(?a, ?b) = ?ab, a, b= 0 , 1 , … , n- 1. In the special case that G is a subgroup of the multiplicative group of a finite field we present improvementsen_US
dc.identifier.citationIşık, L., & Winterhof, A. (2020). On the index of the Diffie–Hellman mapping. Applicable Algebra in Engineering, Communication and Computing, 1-9.en_US
dc.identifier.doi10.1007/s00200-020-00475-3en_US
dc.identifier.issn0938-1279en_US
dc.identifier.scopus2-s2.0-85096453834en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.urihttps://www.doi.org/10.1007/s00200-020-00475-3
dc.identifier.urihttps://hdl.handle.net/20.500.12713/1257
dc.identifier.wosWOS:000591980000001en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorIşık Lawrauw, Leyla
dc.language.isoenen_US
dc.publisherSpringer Science and Business Media Deutschland GmbHen_US
dc.relation.ispartofApplicable Algebra in Engineering, Communications and Computingen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectCryptographyen_US
dc.subjectCyclic Groupsen_US
dc.subjectCyclotomic Mappingsen_US
dc.subjectDiffie–Hellman Mappingen_US
dc.subjectIndexen_US
dc.titleOn the index of the Diffie–Hellman mappingen_US
dc.typeArticleen_US

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