Razvoj kripotografskih hash funkcija bez ključa

Šormaz, Danilo

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master's thesis

Razvoj kripotografskih hash funkcija bez ključa

Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2019. urn:nbn:hr:126:866940

Šormaz, Danilo

Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Pure Mathematics and Mathematics Teaching
Algebra, Analysis and Number Theory Research Group

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APA 6th Edition

Šormaz, D. (2019). Razvoj kripotografskih hash funkcija bez ključa (Master's thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:866940

MLA 8th Edition

Šormaz, Danilo. "Razvoj kripotografskih hash funkcija bez ključa." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2019. https://urn.nsk.hr/urn:nbn:hr:126:866940

Chicago 17th Edition

Harvard

Šormaz, D. (2019). 'Razvoj kripotografskih hash funkcija bez ključa', Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 16 November 2024, https://urn.nsk.hr/urn:nbn:hr:126:866940

Vancouver

Šormaz D. Razvoj kripotografskih hash funkcija bez ključa [Master's thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2019 [cited 2024 November 16] Available at: https://urn.nsk.hr/urn:nbn:hr:126:866940

IEEE

D. Šormaz, "Razvoj kripotografskih hash funkcija bez ključa", Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2019. Available at: https://urn.nsk.hr/urn:nbn:hr:126:866940

Cite this item: https://urn.nsk.hr/urn:nbn:hr:126:866940

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Metadata

Title	Razvoj kripotografskih hash funkcija bez ključa
Title (english)	Development of keyless cryptographic Hash functions
Author	Danilo Šormaz
Mentor	Ivan Matić (mentor)
Committee member	Zoran Tomljanović (predsjednik povjerenstva)
Committee member	Ivan Matić (član povjerenstva)
Committee member	Domagoj Ševerdija (član povjerenstva)
Granter	Josip 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 country	2019-03-15, Croatia
Scientific / art field, discipline and subdiscipline	NATURAL SCIENCES Mathematics
Abstract	U radu smo opisali funkcije koje zbog svojih svojstava zauzimaju vrlo značajno mjesto u kriptografiji, a to su hash funkcije. U prvom dijelu smo definirali jednosmjernu funkciju, budući da je jednosmjernost bitno svojstvo hash funkcija. Naveli smo svojstva kriptografske hash funkcije, kao i odnose medu njima. Pomoću rođendanskog paradoksa odnosno rođendanskog napada, objasnili smo potrebu za definiranjem minimalne duljine hash vrijednosti. Nakon toga, detaljno je opisana Merkle-D˚amgard konstrukcija hash funkcije. Naveli smo primjer koji prati sve korake konstrukcije. Nadalje, opisali smo MD4 hash funkciju, definirali njene korake konstrukcije te raspisali algoritam. Kroz primjer je objašnjena MD4 funkcija i njene specifičnosti. Nakon MD4 funkcije, opisali smo njenu nasljednu MD5 funkciju. Na kraju smo opisali SHA-1 funkciju, njenu konstrukciju te smo naveli primjer hashiranja pomoću SHA-1 funkcije. Opisano je trenutno sigurnosno stanje SHA-1 funkcije i izvršavanje prvog napada kolizijom u praksi.
Abstract (english)	In this paper we described functions which takes very important place in cryptography because of their properties, and we call them hash functions. We defined one way function since one-way property is an essential feature of hash functions. We have specified the properties of hash functions as well as relationships between them. With the birthday paradox and the birthday attack we have explained the need to define the minimum length of hash values. After that, the Merkle-D˚amgard construction has been described in detail. We have mentioned an example that follows all constuction steps. Furthemore, we described the MD4 has function, indicated its construction steps, and wrote down algorithm. Through the example, MD4 function and its specifics are explained. After the MD4 function, we described its successor, MD5 function. Finally, we described the SHA-1 function, its construction, and we provided an example of the hashing using the SHA-1 function. The current state of the SHA-1 function and te first collision attack in practice are described.
Keywords
Keywords (english)
Language	croatian
URN:NBN	urn:nbn:hr:126:866940
Study programme	Title: 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 resource	Text
File origin	Born digital
Access conditions	Open access
Terms of use
Repository	Repository of School of Applied Mathematics and Informatics
Created on	2019-03-21 07:12:50