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master's thesis
Problem diskretnog logaritma i Diffie-Hellmanov protokol
2020. urn:nbn:hr:126:853548
Josipović, Iwan
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Pure Mathematics and Mathematics Teaching
Algebra, Analysis and Number Theory Research Group

Cite this document

Josipović, I. (2020). Problem diskretnog logaritma i Diffie-Hellmanov protokol (Master's thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:853548

Josipović, Iwan. "Problem diskretnog logaritma i Diffie-Hellmanov protokol." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2020. https://urn.nsk.hr/urn:nbn:hr:126:853548

Josipović, Iwan. "Problem diskretnog logaritma i Diffie-Hellmanov protokol." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2020. https://urn.nsk.hr/urn:nbn:hr:126:853548

Josipović, I. (2020). 'Problem diskretnog logaritma i Diffie-Hellmanov protokol', Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 24 December 2024, https://urn.nsk.hr/urn:nbn:hr:126:853548

Josipović I. Problem diskretnog logaritma i Diffie-Hellmanov protokol [Master's thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2020 [cited 2024 December 24] Available at: https://urn.nsk.hr/urn:nbn:hr:126:853548

I. Josipović, "Problem diskretnog logaritma i Diffie-Hellmanov protokol", Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2020. Available at: https://urn.nsk.hr/urn:nbn:hr:126:853548

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Metadata
TitleProblem diskretnog logaritma i Diffie-Hellmanov protokol
Title (english)Disconte Logarithm Problem and Diffie-Hellmann Protocol
AuthorIwan Josipović
MentorIvan Matić (mentor)
Committee memberKristian Sabo (predsjednik povjerenstva)
Committee memberIvan Matić (član povjerenstva)
Committee memberDarija Marković (član povjerenstva)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
(Chair of Pure Mathematics and Mathematics Teaching)
(Algebra, Analysis and Number Theory Research Group)
Osijek
Defense date and country2020-12-03, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Algebra
Abstract
Cilj ovoga rada je upoznavanje s osnovama kriptografskih sustava s javnim ključem. Od povijesne perspektive pa do prvih formalnih definicija koje su postavile temelje nove grane znanosti. Kroz primjere vidjeti ćemo takvu komunikaciju iz tri različite perspektive: pošiljaoca, primatelja i ”protivnika”. Početi ćemo sa Diffie-Hellmanovim protokolom za razmjenu ključeva, jer je ono postavilo temelje moderne kriptografije. Zatim ćemo objasniti prvi službeni kriptosustav pod nazivom ElGamalov kriptosustav. Nakon toga baviti ćemo se analizom kompleksnosti matematičkih problema koji se kriju u pozadini obradenih kriptosustava. Dodatno spomenuti ćemo kako odabrati javne ključeve na način da sustav bude što sigurniji.
Abstract (english)
The aim of this paper is getting to know the basics of public key cryptography. We will start with the history of it, and work our way through the formal definitions that laid the foundations of this new branch of science Through examples we will see communication from three different perspectives: sender, receiver and the ”enemy”. We will start off with the Diffie-Hellman key exchange, because it is one of the most important principles in public key cryptography. Later on, we will learn about the first formal cryptosystem called ElGamalov cryptosystem. On the end, we will analyse the time complexity of the underlaying math problems of mentioned cryptosystems. Additionaly, we will see how public keys should be picked to make the cryptosystem as safe as possible.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:853548
Study programmeTitle: Mathematics; specializations in: Financial and Statistical Mathematics, Mathematics and Computer Science, Industrial and Applied Mathematics
Course: Financial and Statistical Mathematics
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra matematike (magistar/magistra matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2021-01-22 11:14:10