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master's thesis
Zbrajanje i multiplikacija točaka na eliptičkim krivuljama
Zagreb: University of Zagreb, Faculty of Science, 2014. urn:nbn:hr:217:210325
Badrov, Mladen
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Badrov, M. (2014). Zbrajanje i multiplikacija točaka na eliptičkim krivuljama (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:210325

Badrov, Mladen. "Zbrajanje i multiplikacija točaka na eliptičkim krivuljama." Master's thesis, University of Zagreb, Faculty of Science, 2014. https://urn.nsk.hr/urn:nbn:hr:217:210325

Badrov, Mladen. "Zbrajanje i multiplikacija točaka na eliptičkim krivuljama." Master's thesis, University of Zagreb, Faculty of Science, 2014. https://urn.nsk.hr/urn:nbn:hr:217:210325

Badrov, M. (2014). 'Zbrajanje i multiplikacija točaka na eliptičkim krivuljama', Master's thesis, University of Zagreb, Faculty of Science, accessed 03 November 2024, https://urn.nsk.hr/urn:nbn:hr:217:210325

Badrov M. Zbrajanje i multiplikacija točaka na eliptičkim krivuljama [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2014 [cited 2024 November 03] Available at: https://urn.nsk.hr/urn:nbn:hr:217:210325

M. Badrov, "Zbrajanje i multiplikacija točaka na eliptičkim krivuljama", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2014. Available at: https://urn.nsk.hr/urn:nbn:hr:217:210325

Metadata
TitleZbrajanje i multiplikacija točaka na eliptičkim krivuljama
AuthorMladen Badrov
MentorAndrej Dujella (mentor)
Committee memberAndrej Dujella (predsjednik povjerenstva)
Committee memberFilip Najman (član povjerenstva)
Committee memberZvonimir Tutek (član povjerenstva)
Committee memberMarko Tadić (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2014-09-26, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovom radu smo definirali zbrajanje i multiplikaciju točaka na eliptičkim krivuljama, te proučavali složenosti istih operacija u različitim koordinatama. U prvom poglavlju smo definirali osnovne algebarske pojmove nužne za razumijevanje ostatka rada, specifično grupe, prstenove i polja. U drugom poglavlju smo definirali pojam eliptičke krivulje, te zbrajanje točaka i množenje skalarom. U trećem poglavlju smo obavili centralni dio ovog diplomskog rada, pokazali prikaz eliptičke krivulje u različitim koordinatnim sustavima, te analizirali složenost zbrajanja i multiplikacije skalarom.
Abstract (english)
In this work we have defined addition and multiplication of points on elliptic curves and analysed complexity of said operations in different coordinates. First chapter was about defining basic algebraic notions necessary for understanding the rest of the work, those notions being groups, rings and fields. In second chapter we have defined the concept of elliptic curves along with point addition and scalar multiplication. Third chapter is the main part of this work. In it we have shown equation of elliptic curves in different coordinates and have analysed different complexities of addition and scalar multiplication.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:210325
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 on2017-05-09 10:54:18