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master's thesis
Metode za podjelu tajne
2021. urn:nbn:hr:166:561296
Despotović, Josipa
University of Split
Faculty of Science
Department of Mathematics

Cite this document

Despotović, J. (2021). Metode za podjelu tajne (Master's thesis). Split: University of Split, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:166:561296

Despotović, Josipa. "Metode za podjelu tajne." Master's thesis, University of Split, Faculty of Science, 2021. https://urn.nsk.hr/urn:nbn:hr:166:561296

Despotović, Josipa. "Metode za podjelu tajne." Master's thesis, University of Split, Faculty of Science, 2021. https://urn.nsk.hr/urn:nbn:hr:166:561296

Despotović, J. (2021). 'Metode za podjelu tajne', Master's thesis, University of Split, Faculty of Science, accessed 28 December 2024, https://urn.nsk.hr/urn:nbn:hr:166:561296

Despotović J. Metode za podjelu tajne [Master's thesis]. Split: University of Split, Faculty of Science; 2021 [cited 2024 December 28] Available at: https://urn.nsk.hr/urn:nbn:hr:166:561296

J. Despotović, "Metode za podjelu tajne", Master's thesis, University of Split, Faculty of Science, Split, 2021. Available at: https://urn.nsk.hr/urn:nbn:hr:166:561296

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Metadata
TitleMetode za podjelu tajne
Title (english)Secret sharing schemes
AuthorJosipa Despotović
MentorBorka Jadrijević (mentor)
Committee memberBorka Jadrijević (predsjednik povjerenstva)
Committee memberAnka Golemac (član povjerenstva)
Committee memberMarija Bliznac Trebješanin (član povjerenstva)
GranterUniversity of Split
Faculty of Science
(Department of Mathematics)
Split
Defense date and country2021-02-26, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
Metode ili sheme za podjelu tajne su metode za raspodjelu tajne među skupinom sudionika na način da se svakome sudionika dodijeli dio tajne. Izvorna tajna može se rekonstruirati samo kada se kombinira dovoljan broj dijelova tajne. U prvom poglavlju ovog rada dana su osnovna svojstva i navedene različite vrste metoda za podjelu tajne te su dani primjeri njihove primjene u raznim područjima. U drugom dijelu rada su obrađene osnovne metode za podjelu tajne: Shamirova i Blakleyeva shema praga te metode koje koriste Kineski teorem o ostacima, Mignotteova i Ashmut-Bloomova shema praga. Pokazano je da su Shamirova i Asmuth-Bloomova shema savršene, dok druge dvije to nisu. Na samom kraju rada, opisana je implementacija Shamirove sheme praga u svrhu podjele i rekonstrukcije lozinke.
Abstract (english)
Secret sharing schemes are methods of distributing a secret among a group of participants, each of whom is assigned a share of the secret. The secret can only be reconstructed if a sufficient number of shares are combined. In the first chapter of this thesis, we deal with the basic properties of secret sharing schemes. Moreover, we analyzed various secret sharing schemes and classified them based on their characteristics. We also give examples of their application in numerous fields. The second chapter of the thesis deals with the basic secret sharing schemes: Shamir’s and Blakley’s threshold schemes and the methods that use the Chinese remainder theorem, Mignotte’s and Asmuth-Bloom’s threshold schemes. It has been shown that Shamir’s and Asmuth-Bloom’s schemes are perfect, while the other two methods are not. At the very end of the paper, we describe an implementation of Shamir’s threshold scheme for sharing and reconstructing the password.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:166:561296
Study programmeTitle: Mathematics; specializations in: major in pure mathematics, major in computing, major in teaching, major in statistics and computing
Course: major in computing
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 on2021-03-30 09:15:45