Elliptic curves over a finite field and applications to cryptography
dc.contributor.advisor | Kendirli, Barış | |
dc.contributor.author | Yaşar, Ahmet | |
dc.date.accessioned | 2021-05-07T11:40:15Z | |
dc.date.available | 2021-05-07T11:40:15Z | |
dc.date.submitted | 2006 | |
dc.date.issued | 2018-08-06 | |
dc.identifier.uri | https://acikbilim.yok.gov.tr/handle/20.500.12812/616121 | |
dc.description.abstract | Bu 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.abstract | In 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.language | English | |
dc.language.iso | en | |
dc.rights | info:eu-repo/semantics/openAccess | |
dc.rights | Attribution 4.0 United States | tr_TR |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.subject | Matematik | tr_TR |
dc.subject | Mathematics | en_US |
dc.title | Elliptic curves over a finite field and applications to cryptography | |
dc.title.alternative | Sonlu bir cisim üzerinde eliptik eğriler ve kriptografi uygulamaları | |
dc.type | masterThesis | |
dc.date.updated | 2018-08-06 | |
dc.contributor.department | Matematik Ana Bilim Dalı | |
dc.identifier.yokid | 330511 | |
dc.publisher.institute | Fen Bilimleri Enstitüsü | |
dc.publisher.university | FATİH ÜNİVERSİTESİ | |
dc.identifier.thesisid | 216529 | |
dc.description.pages | 87 | |
dc.publisher.discipline | Diğer |