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master's thesis
Napadi s djelomičnim poznavanjem ključa
2024. urn:nbn:hr:126:859214
Erceg, Erika
Josip Juraj Strossmayer University of Osijek
School of Applied Mathematics and Informatics

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Erceg, E. (2024). Napadi s djelomičnim poznavanjem ključa (Master's thesis). Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:859214

Erceg, Erika. "Napadi s djelomičnim poznavanjem ključa." Master's thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2024. https://urn.nsk.hr/urn:nbn:hr:126:859214

Erceg, Erika. "Napadi s djelomičnim poznavanjem ključa." Master's thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2024. https://urn.nsk.hr/urn:nbn:hr:126:859214

Erceg, E. (2024). 'Napadi s djelomičnim poznavanjem ključa', Master's thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, accessed 01 December 2024, https://urn.nsk.hr/urn:nbn:hr:126:859214

Erceg E. Napadi s djelomičnim poznavanjem ključa [Master's thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics; 2024 [cited 2024 December 01] Available at: https://urn.nsk.hr/urn:nbn:hr:126:859214

E. Erceg, "Napadi s djelomičnim poznavanjem ključa", Master's thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, Osijek, 2024. Available at: https://urn.nsk.hr/urn:nbn:hr:126:859214

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Metadata
TitleNapadi s djelomičnim poznavanjem ključa
Title (english)Partial Key Exposure Attacks
AuthorErika Erceg
MentorIvan Matić (mentor)
Committee memberMirela Jukić Bokun (predsjednik povjerenstva)
Committee memberIvan Matić (član povjerenstva)
Committee memberIvan Soldo (član povjerenstva)
GranterJosip Juraj Strossmayer University of Osijek
School of Applied Mathematics and Informatics
Osijek
Defense date and country2024-10-14, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Numerical Mathematics
Abstract
U ovom diplomskom radu ćemo prvo objasniti što je RSA kriptosustav, zatim ćemo krenuvši od općenitijih teorema i napada doći do glavnih, najbitnijih teorema i napada s djelomičnim poznavanjem ključa. Napadi koje ćemo iskazati i dokazati koriste djelomične informacije o privatnom ključu ili o prostim brojevima p i q, za koje vrijedi N = pq, kako bi ugrozili sigurnost RSA kriptosustava. U radu ćemo vidjeti koje su najmanje informacije koje moramo znati o tajnom ključu te o prostim brojevima p i q da bi mogli faktorizirati modul N.
Abstract (english)
In this final paper, we will first explain what the RSA cryptosystem is, then, starting from more general theorems and attacks, we will get to the main, most important theorems and attacks with partial key exposure. The attacks that we will present and prove use partial information about the private key or about the prime numbers p and q, for which N = pq holds, to compromise the security of the RSA cryptosystem. In the paper, we will see what is the minimum information that we need to know about the private key and about the prime numbers p and q in order to be able to factorize the module N.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:859214
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 on2024-10-22 06:24:30