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Linear algebra in cryptoanalysis
Darko Brežnjak (2016)
Josip Juraj Strossmayer University of Osijek
Faculty of Electrical Engineering, Computer Science and Information Technology Osijek
Department of Core Courses
Chair of Mathematics, Physics and Mechanical Engineering
Cite this document

Brežnjak, D. (2016). Primjene linearne algebre u kriptoanalizi (Master's thesis). Retrieved from https://urn.nsk.hr/urn:nbn:hr:200:889826

Brežnjak, Darko. "Primjene linearne algebre u kriptoanalizi." Master's thesis, Josip Juraj Strossmayer University of Osijek, Faculty of Electrical Engineering, Computer Science and Information Technology Osijek, 2016. https://urn.nsk.hr/urn:nbn:hr:200:889826

Brežnjak, Darko. "Primjene linearne algebre u kriptoanalizi." Master's thesis, Josip Juraj Strossmayer University of Osijek, Faculty of Electrical Engineering, Computer Science and Information Technology Osijek, 2016. https://urn.nsk.hr/urn:nbn:hr:200:889826

Brežnjak, D. (2016). 'Primjene linearne algebre u kriptoanalizi', Master's thesis, Josip Juraj Strossmayer University of Osijek, Faculty of Electrical Engineering, Computer Science and Information Technology Osijek, accessed 19 November 2019, https://urn.nsk.hr/urn:nbn:hr:200:889826

Brežnjak D. Primjene linearne algebre u kriptoanalizi [Master's thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Faculty of Electrical Engineering, Computer Science and Information Technology Osijek; 2016 [cited 2019 November 19] Available at: https://urn.nsk.hr/urn:nbn:hr:200:889826

D. Brežnjak, "Primjene linearne algebre u kriptoanalizi", Master's thesis, Josip Juraj Strossmayer University of Osijek, Faculty of Electrical Engineering, Computer Science and Information Technology Osijek, Osijek, 2016. Available at: https://urn.nsk.hr/urn:nbn:hr:200:889826

Metadata
TitlePrimjene linearne algebre u kriptoanalizi
Title (english)Linear algebra in cryptoanalysis
AuthorDarko Brežnjak
MentorTomislav Rudec (mentor)
MentorAlfonzo Baumgartner (mentor)
Committee memberTomislav Rudec (predsjednik povjerenstva)
Committee memberAnita Katić (član povjerenstva)
Committee memberAlfonzo Baumgartner (član povjerenstva)
GranterJosip Juraj Strossmayer University of Osijek
Faculty of Electrical Engineering, Computer Science and Information Technology Osijek
(Department of Core Courses)
(Chair of Mathematics, Physics and Mechanical Engineering)
Osijek
Defense date and country2016-09-28, Croatia
Scientific / art field,
discipline and subdiscipline		TECHNICAL SCIENCES
Electrical Engineering
Electronics
Abstract
Sa željom, i potrebom, da se održi tajnost spremljenih ili prenošenih informacija intenzivno serazvijaju nove metode kriptiranja tih podataka. Bilo da je pitanje osobnih, državnih ili poslovnihinformacija, u krivim rukama one potencijalno mogu značiti veliku štetu. Kriptoanaliza imazadaću pronalaženje ranjivosti kriptosustava te na temelju novih saznanja razvijati novepouzdanije kriptografske algoritme. Kako su suvremene komunikacije najvećim dijelom digitalne, obrađivane preko računala,time su i algoritmi kriptografije razvijani sa idejom konačne implementacije na računalu. Samimtime je i pristup kriptoanalizi predodređen računalom, ali i neophodan zbog potrebe za izvođenjemvelikog broja aritmetičkih i logičkih operacija u što kraćem vremenu. Primjenom linearne algebre i nekih algoritama baziranih na vektorskoj analizi moguće jeuvelike smanjiti broj operacija potrebnih da se pronađe rješenje problema. Kako je već i spomenutou radu sami algoritmi vezani za analizu matričnih sustava, vektora i njihovih svojstava lako seimplementiraju na računalima.
Abstract (english)
With will, and need, to preserve secrecy of information that one want's to transmit orpermanently save there is allways an intense reasearch on developing new methods for dataencryption. Whether the information is personal, statesmanlike or military in nature, fallen in thewrong hands it can potentialy mean harm. Cryptanalysis has the task of finding a vulnerability incryptosystem's to gain new knowledge for implementation and development of more reliablecryptographic algorithms.As modern communication's are mostly digital, processed via computer, thus cryptography andalgorithms has to be developed with the idea of the final implementation on the computer.Therefore the approach to cryptanalysis is predetermined to a computer, but also necessary becauseof the need to perform a large number of arithmetic and logical operations in the shortest possibletime.Applying linear algebra and some algorithms based on vector analysis it is possible to greatlyreduce the number of operations required to find a solution to the problem. As already mentionedin the work, algorithms related with analysis of matrix systems, vectors and their properties areeasily implemented on computers.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:200:889826
Study programmeTitle: Graduate University Study Programme in Computer Engineering
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra inženjer/inženjerka računarstva (magistar/magistra inženjer/inženjerka računarstva)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of usehttp://rightsstatements.org/vocab/InC/1.0/
Created on2017-01-30 13:48:42