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master's thesis
Kriptografija javnog ključa i diskretni logaritmu
Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2022. urn:nbn:hr:126:458256
Storić, Luka
Josip Juraj Strossmayer University of Osijek
Department of Mathematics

Institutional repository: Repository of School of Applied Mathematics and Computer Science

Cite this document

Storić, L. (2022). Kriptografija javnog ključa i diskretni logaritmu (Master's thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:458256

Storić, Luka. "Kriptografija javnog ključa i diskretni logaritmu." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2022. https://urn.nsk.hr/urn:nbn:hr:126:458256

Storić, Luka. "Kriptografija javnog ključa i diskretni logaritmu." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2022. https://urn.nsk.hr/urn:nbn:hr:126:458256

Storić, L. (2022). 'Kriptografija javnog ključa i diskretni logaritmu', Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 07 October 2024, https://urn.nsk.hr/urn:nbn:hr:126:458256

Storić L. Kriptografija javnog ključa i diskretni logaritmu [Master's thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2022 [cited 2024 October 07] Available at: https://urn.nsk.hr/urn:nbn:hr:126:458256

L. Storić, "Kriptografija javnog ključa i diskretni logaritmu", Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2022. Available at: https://urn.nsk.hr/urn:nbn:hr:126:458256

Metadata
TitleKriptografija javnog ključa i diskretni logaritmu
Title (english)Public Key Cryptography and Discrete Logarithms
AuthorLuka Storić
MentorIvan Matić (mentor)
Committee memberTomislav Marošević (predsjednik povjerenstva)
Committee memberIvan Matić (član povjerenstva)
Committee memberIvan Soldo (član povjerenstva)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
Osijek
Defense date and country2022-10-03, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Algebra
Abstract
U ovom radu bavili smo se kriptografijom javnog ključa i problemom diskretnog logaritma. Definirali smo osnovne pojmove u kriptografiji i njezinu glavnu svrhu. Opisali smo ElGamalov kriptosustav s javnim kljuˇcem te smo ga prikazali kroz primjer. Nadalje, obradili smo njegovu semantičku sigurnost. Na kraju smo detaljno opisali i kroz primjere prikazali algoritme koji se bave problemom diskretnog logaritma, a to su: Shanksov Algoritam, Pollardov rho algoritam, Pohlig-Hellmanov algoritam i Metoda računanja indeksa.
Abstract (english)
In this work, we defined public key cryptography and the discrete logarithm problem. We have defined the basic terms in cryptography and it’s main purpose. We described ElGamal’s public key cryptosystem and demonstrated it through an example. Furthermore, we have processed it’s semantic security. At the end, finally we described in detail and presented through examples the algorithms that deal with the discrete logarithm problem, namely: Shanks’ Algorithm, Pollard rho algorithm, Pohlig-Hellman algorithm and Index Calculus Method.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:458256
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 on2022-10-07 07:01:25