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master's thesis
Pellova jednadžba u kriptografiji javnog ključa
Zagreb: University of Zagreb, Faculty of Science, 2015. urn:nbn:hr:217:736796
Atanasov, Violeta
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Atanasov, V. (2015). Pellova jednadžba u kriptografiji javnog ključa (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:736796

Atanasov, Violeta. "Pellova jednadžba u kriptografiji javnog ključa." Master's thesis, University of Zagreb, Faculty of Science, 2015. https://urn.nsk.hr/urn:nbn:hr:217:736796

Atanasov, Violeta. "Pellova jednadžba u kriptografiji javnog ključa." Master's thesis, University of Zagreb, Faculty of Science, 2015. https://urn.nsk.hr/urn:nbn:hr:217:736796

Atanasov, V. (2015). 'Pellova jednadžba u kriptografiji javnog ključa', Master's thesis, University of Zagreb, Faculty of Science, accessed 26 November 2024, https://urn.nsk.hr/urn:nbn:hr:217:736796

Atanasov V. Pellova jednadžba u kriptografiji javnog ključa [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2015 [cited 2024 November 26] Available at: https://urn.nsk.hr/urn:nbn:hr:217:736796

V. Atanasov, "Pellova jednadžba u kriptografiji javnog ključa", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2015. Available at: https://urn.nsk.hr/urn:nbn:hr:217:736796

Metadata
TitlePellova jednadžba u kriptografiji javnog ključa
AuthorVioleta Atanasov
MentorZrinka Franušić (mentor)
Committee memberZrinka Franušić (predsjednik povjerenstva)
Committee memberJuraj Šiftar (član povjerenstva)
Committee memberMatija Kazalicki (član povjerenstva)
Committee memberLjiljana Arambašić (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2015-05-29, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
Želimo li u današnjem svijetu bez privatnosti osigurati sigurnu komunikaciju, koristit ćemo kriptosustave. Probijanje šifri biva sve češće i sofisticiranije, pa nam je u cilju imati što više raznolikih kriptosustava. Zbog toga se i razne grane matematike, te njihovi rezultati, primjenjuju na njihov razvoj. Kriptosustav opisan u ovom radu, prvi se puta pojavio 1984. godine. Jedna je od varijanti RSA kriptosustava, koja se temelji na Pellovoj jednadžbi \(x^2-{d y}^2 = 1\), sa sigurnosti zasnovanoj na teškoći problema faktorizacije.
Abstract (english)
With the lack of privacy in the world, we use cryptosystems, as we want to provide a safe communication. Code-breaking techniques are becoming more frequent and more sophisticated, so we need different cryptosystems at our disposal. Because of that, many different areas of mathematics and their results have been applied to their development. The cryptosystem described in this work first appeared in 1984. It is a variant of the RSA cryptosystem based on Pell’s Equation \(x^2-{d y}^2 = 1\) with the security based on the factorization problem.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:736796
Study programmeTitle: Computer Science and Mathematics
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra računarstva i matematike (magistar/magistra računarstva i matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2017-05-05 12:22:45