Download
PDF 13.63 MB
master's thesis
63   8
Digital Signature Methods
Milan Milinčević (2019)
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Pure Mathematics
Algebra and Calculus Research Group
Cite this document

Milinčević, M. (2019). Metode digitalnog potpisivanja (Master's thesis). Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:646750

Milinčević, Milan. "Metode digitalnog potpisivanja." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2019. https://urn.nsk.hr/urn:nbn:hr:126:646750

Milinčević, Milan. "Metode digitalnog potpisivanja." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2019. https://urn.nsk.hr/urn:nbn:hr:126:646750

Milinčević, M. (2019). 'Metode digitalnog potpisivanja', Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 15 November 2019, https://urn.nsk.hr/urn:nbn:hr:126:646750

Milinčević M. Metode digitalnog potpisivanja [Master's thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2019 [cited 2019 November 15] Available at: https://urn.nsk.hr/urn:nbn:hr:126:646750

M. Milinčević, "Metode digitalnog potpisivanja", Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2019. Available at: https://urn.nsk.hr/urn:nbn:hr:126:646750

Metadata
TitleMetode digitalnog potpisivanja
Title (english)Digital Signature Methods
AuthorMilan Milinčević
MentorIvan Matić (mentor)
Committee memberIvan Soldo (predsjednik povjerenstva)
Committee memberIvan Matić (član povjerenstva)
Committee memberDomagoj Ševerdija (član povjerenstva)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
(Chair of Pure Mathematics)
(Algebra and Calculus Research Group)
Osijek
Defense date and country2019-04-05, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Other Mathematical Disciplines
Abstract
U ovom radu smo se upoznali s digitalnim potpisom, objasnili zašto nam je važan te koje su njegove prednosti. Neki od kriptosustava zasnivaju se na problemu faktorizacije, a najpoznatiji od njih su svakako RSA te Rabinov kriptosustav. Oni su predstavljeni u prvom poglavlju rada. Nakon što smo se upoznali s njima, promotrili smo i istoimene sheme potpisa koje su nastale od tih kriptosustava. U drugom je poglavlju naglasak bio na DSA shemu potpisa koja je nastala prema ElGamalovom kriptosustavu, odnosno ElGamalovoj shemi potpisa. Za razliku od RSA i Rabinovog kriptosustava, ElGamalov kriptosustav je zasnovan na problemu diskretnog logaritma kojeg smo također spomenuli u radu. U sljedeća dva poglavlja definirana je nepobitna shema potpisa te fail-stop shema potpisa. Nepobitna shema potpisa za potrebu provjere traži suradnju potpisnika, dok fail-stop potpisi pružaju dodatnu sigurnost od krivotvorenja. Za sve navedene sheme priložen je ilustrativni primjer na kojem su uočljive karakteristike promotrenog potpisa.
Abstract (english)
In this paper we introduced digital signature, explain its importance and its advantages. Some of the cryptosystem are based on the factorization problem and few of them are RSA and Rabin cryptosystem. They are represented in the first chapter as well as corresponding signature schemes. The basis of the second chapter is the DSA signature scheme which is related to the ElGamal cryptosytem and signature scheme. ElGamal cryptosystem is based on the discrete logarithm problem which is also one of the topics in the paper. In addition is defined an undeniable signature scheme and a fail-stop signature scheme. For every scheme that is mentioned in this paper there is corresponding illustrative example.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:646750
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 usehttp://rightsstatements.org/vocab/InC/1.0/
Created on2019-04-09 06:27:15