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master's thesis
Metode podjele tajni
2019. urn:nbn:hr:126:904957
Novaković, Sanja
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Pure Mathematics and Mathematics Teaching
Algebra, Analysis and Number Theory Research Group

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Novaković, S. (2019). Metode podjele tajni (Master's thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:904957

Novaković, Sanja. "Metode podjele tajni." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2019. https://urn.nsk.hr/urn:nbn:hr:126:904957

Novaković, Sanja. "Metode podjele tajni." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2019. https://urn.nsk.hr/urn:nbn:hr:126:904957

Novaković, S. (2019). 'Metode podjele tajni', Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 20 September 2023, https://urn.nsk.hr/urn:nbn:hr:126:904957

Novaković S. Metode podjele tajni [Master's thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2019 [cited 2023 September 20] Available at: https://urn.nsk.hr/urn:nbn:hr:126:904957

S. Novaković, "Metode podjele tajni", Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2019. Available at: https://urn.nsk.hr/urn:nbn:hr:126:904957

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Metadata
TitleMetode podjele tajni
Title (english)Secret Sharing Methods
AuthorSanja Novaković
MentorIvan Matić (mentor)
Committee memberMirela Jukić Bokun (predsjednik povjerenstva)
Committee memberIvan Matić (član povjerenstva)
Committee memberSlobodan Jelić (član povjerenstva)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
(Chair of Pure Mathematics and Mathematics Teaching)
(Algebra, Analysis and Number Theory Research Group)
Osijek
Defense date and country2019-11-05, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Other Mathematical Disciplines
Abstract
U ovom radu vide se korisni rezultati iz područja kriptografije. Cilj je teme podjeliti tajnu među sudionicima na što sigurniji način. Obrađena je trivijalna podjela tajne, Shamirova metoda podjele tajne koja se pokazala savršenom, Blakleyeva metoda te opća podjela tajni. Uz odgovarajuće metode prikazani su primjeri te nekoliko načina na koji se koristi tajna podjela u suvremenom životu. Shema podjela tajnih podataka uključuje djelitelja koji ima tajnu, skup w sudionika te broj potrebnih sudionika za rekonstrukciju tajne (u (t, w) shemi praga to je t). Shema podjele tajne metoda je kojom djelitelj distribuira dionice sudionicima tako da bilo koji podskup od t sudionika može rekonstruirati tajnu iz objedinjenih dionica i bilo koji podskup koji ima manje od t dionica ne može otkriti nikakve djelomične podatke o tajni.
Abstract (english)
This paper presents useful results in the eld of cryptography. The aim of this topic is to share a secret among participants in the most secure way possible. A trivial division of the secret, the Shamir method of secret division which proved to be perfect, the Blakley method and the general division of secrets were all dealt with. Using appropriate methods examples have been provided along with several ways in which the secret division in modern life is used. The classication scheme includes a divisor that has a secret, a set of w participants, and the number of participants required to reconstruct the secret (in (t, w) the threshold scheme is t). The secret-sharing scheme is a method by which the divisor distributes shares to participants so that any subset of t participants can reconstruct the secret from the pooled shares and any subset of less than t shares cannot reveal any partial information about the secret.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:904957
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 on2019-11-27 10:29:22