Show simple item record

dc.contributor.advisorKendirli, Barış
dc.contributor.authorYaşar, Ahmet
dc.date.accessioned2021-05-07T11:40:15Z
dc.date.available2021-05-07T11:40:15Z
dc.date.submitted2006
dc.date.issued2018-08-06
dc.identifier.urihttps://acikbilim.yok.gov.tr/handle/20.500.12812/616121
dc.description.abstractBu tez çalışmasında, temel seviyede eliptik eğriler, sonlu bir cisim üzerinde eliptik eğriler ve bu eğrilerin Kriptografi uygulamaları incelenmiştir. Özellikle Diffie ? Hellman , Massey ? Omura ve ElGamal gibi kriptosistemlerinin sonlu bir cisim üzerindeki şifreleme ve deşifre etme yöntemleri hakkında bilgiler verdim. Ayrıca bu sistemler örneklerle desteklendi.Anahtar Kelimeler: Kriptografi, şifreleme, deşifre, sonlu cisimler, eliptik eğriler, maple, diskriminant, ikinci dereceden kalan.
dc.description.abstractIn this thesis, elliptic curves, elliptic curves over a finite field and cryptography applications of elliptic curves are basically investigated. Especially, I give information about encryption and decryption methods for the cryptosystems which can be defined over a finite field such as Diffie ? Hellman , Massey ? Omura and ElGamal. These concepts were also supported by the cited examples.Keywords: Cryptography, encryption, decryption, finite fields, elliptic curves, maple, discriminant, quadratic residue.en_US
dc.languageEnglish
dc.language.isoen
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rightsAttribution 4.0 United Statestr_TR
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectMatematiktr_TR
dc.subjectMathematicsen_US
dc.titleElliptic curves over a finite field and applications to cryptography
dc.title.alternativeSonlu bir cisim üzerinde eliptik eğriler ve kriptografi uygulamaları
dc.typemasterThesis
dc.date.updated2018-08-06
dc.contributor.departmentMatematik Ana Bilim Dalı
dc.identifier.yokid330511
dc.publisher.instituteFen Bilimleri Enstitüsü
dc.publisher.universityFATİH ÜNİVERSİTESİ
dc.identifier.thesisid216529
dc.description.pages87
dc.publisher.disciplineDiğer


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record

info:eu-repo/semantics/openAccess
Except where otherwise noted, this item's license is described as info:eu-repo/semantics/openAccess