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dc.contributor.advisorBroughan, Kevin A.
dc.contributor.authorAbdullah, Kamilahen_NZ
dc.date.accessioned2010-08-10T00:40:21Z
dc.date.available2010-08-10T00:40:21Z
dc.date.issued2010en_NZ
dc.identifier.citationAbdullah, K. (2010). Comparison between the RSA cryptosystem and elliptic curve cryptography (Thesis, Master of Science (MSc)). The University of Waikato, Hamilton, New Zealand. Retrieved from https://hdl.handle.net/10289/4273en
dc.identifier.urihttps://hdl.handle.net/10289/4273
dc.description.abstractIn the globalization era, cryptography becomes more popular and powerful; in fact it is very important in many areas (i.e. mathematics, computer science, networks, etc). This thesis provides an overview and comparison between the RSA cryptosystem and elliptic curve cryptography, which both focus on sending and receiving messages. The basic theories of the RSA cryptosystem and elliptic curve cryptography are explored. The RSA cryptosystem and elliptic curve cryptography theories are quite similar but elliptic curve cryptography is more complicated. The idea of the RSA cryptosystem is based on three popular theorems which are Euler's Theorem, Fermat's Little Theorem and the Chinese Remainder Theorem. This discussion shows that the reliability and strong security of the RSA cryptosystem depends on the degree of dif- ficulty of integer factorization. Therefore, methods for integer factorization are discussed. In addition I show how the security of elliptic curve cryptography depends on the apparent difficulty of solving the elliptic curve discrete logarithm problem (ECDLP).en_NZ
dc.format.mimetypeapplication/pdf
dc.language.isoen
dc.publisherThe University of Waikatoen_NZ
dc.rightsAll items in Research Commons are provided for private study and research purposes and are protected by copyright with all rights reserved unless otherwise indicated.
dc.subjectCryptographyen_NZ
dc.subjectRSA cryptosystemen_NZ
dc.subjectelliptic curve cryptographyen_NZ
dc.titleComparison between the RSA cryptosystem and elliptic curve cryptographyen_NZ
dc.typeThesisen_NZ
thesis.degree.disciplineMathematicsen_NZ
thesis.degree.grantorUniversity of Waikatoen_NZ
thesis.degree.levelMasters
thesis.degree.nameMaster of Science (MSc)en_NZ
uow.date.accession2010-02-11en_NZ
uow.identifier.adthttp://adt.waikato.ac.nz/uploads/adt-uow20100211.111239
pubs.place-of-publicationHamilton, New Zealanden_NZ


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