master's thesis
Elliptic curve cryptography and its applications

Marija Kuterovac (2015)
Metadata
TitleKriptografski sustavi temeljeni na eliptičkim krivuljama i mogućnosti njihove primjene
AuthorMarija Kuterovac
Mentor(s)Krešimir Grgić (thesis advisor)
Abstract
Širenjem različitih varijanti ugrađenih računalnih sustava s mogućnostima komunikacije javlja se potreba za kriptografskim sustavima temeljenim na eliptičkim krivuljama zbog toga što su prikladniji od drugih asimetričnih kriptografskih sustava. Glavni razlog zbog kojeg se javlja potreba za zamjenom postojećih kriptografskih sustava je ta da su s napretkom tehnologije napredovale i razvijale se metode za presretanje i otkrivanje podataka iz šifrata, a sami napadi su postajali sve učinkovitiji. Neprekidnim mijenjanjem duljine ključeva, radi povećanja sigurnosti prijenosa podataka, pojavio se problem zahtjevnosti ključa, pohrane i brzine obrade podataka kod konvencionalnih kriptografskih sustava. Stoga se rješenje pronalazi u kriptografskim sustavima temeljenima na eliptičnim krivuljama jer osiguravaju manju hardversku zahtjevnost, veću brzinu i visoku sigurnost podataka i komunikacije nesigurnim komunikacijskim kanalom. Važno je napomenuti da je teško izvršiti napad na kriptografske sustave temeljene na eliptičnim krivuljama i otkriti privatne ključeve članova koji se nalaze u sjednici upravo zbog same složenosti krivulje i digitalnog potpisa koji se koriste. Kao novo razvijena metoda koja se pojavila u kriptografiji predstavlja problem napadačima zbog nepoznavanja metoda za napad na ovakve sustave i upravo zbog toga javlja se potreba za sve većom implementacijom u računalne sustave
Keywordscryptology crypto systems elliptic curve cryptology elliptic curves discrete logarithm problem ElGamal Menzes-Vanstone KMOV Demytkov digital signature ECDSA Diffie-Hellman secret key exchange protocol.
Parallel title (English)Elliptic curve cryptography and its applications
Committee MembersKrešimir Grgić (committee chairperson)
Drago Žagar (committee member)
Višnja Križanović Čik (committee member)
GranterSveučilište Josipa Jurja Strossmayera u Osijeku
Fakultet elektrotehnike, računarstva i informacijskih tehnologija Osijek
Lower level organizational unitsZavod za komunikacije
Katedra za radiokomunikacije i telekomunikacije
PlaceOsijek
StateCroatia
Scientific field, discipline, subdisciplineTECHNICAL SCIENCES
Computing
Information Systems
Study programme typeuniversity
Study levelgraduate
Study programmeGraduate University Study Programme in Electrical Engineering; branch: Communications and Informatics, Power Engineering
Study specializationbranch: Communications and Informatics
Academic title abbreviationmag.ing.el.
Genremaster's thesis
Language Croatian
Defense date2015-03-09
Parallel abstract (English)
As the different sorts of computer systems with possibility of communication have appeared, there is a greater need for crypto systems based on elliptic curves, because they are more appropriate than other asymmetric crypto systems. With the development of technology, the methods for cipher text content interception and acquisition have also been developed, and that is the main reason for the fact that existing crypto systems had to be changed. The attacks themselves have become more efficient. By continuously changing the length of the keys to improve security of data transmission, conventional crypto systems have faced the problem with the key complexity, data storage and data processing rate. The solution has been found in crypto systems based on elliptic curves, because they ensure less hardware complexity, higher rates, and high level of data security. It is important to mention that creation of efficient attack on crypto system based on elliptic curves and finding private keys of session members is extremely hard task, because elliptic curves and digital signature that are used are extremely complex. As a newly developed method that has appeared in crypto systems, it is pretty difficult for attackers, because the methods to attack these systems are still unknown, and that is the main reason for increasing need to implement these systems in computer systems
Parallel keywords (Croatian)kriptografija kriptografski sustavi kriptografski sustavi temeljeni na eliptičnim krivuljama eliptične krivulje problem diskretnog logaritma ElGamal Menzes-Vanstone KMOV Demytkov digitalni potpis ECDSA Diffie-Hellman protokol za razmjenu tajnog ključa
Resource typetext
Access conditionOpen access
Terms of usehttp://rightsstatements.org/vocab/InC/1.0/
URN:NBNhttps://urn.nsk.hr/urn:nbn:hr:200:476466
CommitterAnka Ovničević