Elliptic curve cryptography
Date
2016-12
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Stellenbosch : Stellenbosch University
Abstract
ENGLISH ABSTRACT : In this thesis we present a selection of Diffie-Hellman cryptosystems, which
were classically formulated using the multiplicative group of a finite field, but
which may be generalised to use other group varieties such as elliptic curves.
We also describe known attacks on special cases of such cryptosystems, which
manifest as solutions to the discrete logarithm problem for group varieties,
and the elliptic curve discrete logarithm problem in particular. We pursue
a computational approach throughout, with a focus on the development of
practical algorithms.
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Description
Thesis (MSc)--Stellenbosch University, 2016
Keywords
Diffie-Hellman cryptosystems, UCTD, Curves, Elliptic, Cryptography, Discrete logarithm