prikaz prve stranice dokumenta Rešetke i kriptografija
  Download
PDF 17.11 MB
master's thesis
Rešetke i kriptografija
2023. urn:nbn:hr:126:365352
Klarić, Matija
Josip Juraj Strossmayer University of Osijek
School of Applied Mathematics and Informatics

Cite this document

Klarić, M. (2023). Rešetke i kriptografija (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:126:365352

Klarić, Matija. "Rešetke i kriptografija." Master's thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2023. https://urn.nsk.hr/urn:nbn:hr:126:365352

Klarić, Matija. "Rešetke i kriptografija." Master's thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2023. https://urn.nsk.hr/urn:nbn:hr:126:365352

Klarić, M. (2023). 'Rešetke i kriptografija', Master's thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, accessed 12 November 2024, https://urn.nsk.hr/urn:nbn:hr:126:365352

Klarić M. Rešetke i kriptografija [Master's thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics; 2023 [cited 2024 November 12] Available at: https://urn.nsk.hr/urn:nbn:hr:126:365352

M. Klarić, "Rešetke i kriptografija", Master's thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, Osijek, 2023. Available at: https://urn.nsk.hr/urn:nbn:hr:126:365352

Please login to the repository to save this object to your list.
Metadata
TitleRešetke i kriptografija
Title (english)Lattices And Cryptography
AuthorMatija Klarić
MentorIvan Matić (mentor)
Committee memberSnježana Majstorović Ergotić (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 country2023-10-18, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Algebra
Abstract
U ovom radu bavit ćemo se teorijom rešetki i njezinim primjenama u kriptografiji. Pojam rešetke blisko je povezan s pojmom vektorskog prostora. Bavit ćemo se i temeljnim računskim problemima traženja najkraćeg (nenul) vektora u rešetci i traženjem najbližeg vektora u rešetci nekom zadanom vektoru. Pokazat će se da veliku ulogu u uspješnom rješavanju ovih problema ima ortogonalnost baze.
Abstract (english)
In this thesis, we will deal with the theory of lattices and its applications in cryptography. A lattice is similar to a vector space. The fundamental computational problems associated to a lattice are those of finding a shortest nonzero vector in the lattice and of finding a vector in the lattice that is closest to a given vector. As it shows, orthogonality of the basis plays an important role in solving these problems.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:365352
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 on2023-11-10 10:01:14