Elliptic curves over finite fields
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Date
2021
Authors
Journal Title
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Faculty of Mathematics and Computer Sciences Department of Mathematics - Option : Algebra and Discrete Mathematics
Abstract
The application of elliptic curves to the field of cryptography has been relatively recent.
It has opened up a wealth of possibilities in terms of security, encryption, and real-world
applications. In particular, we are interested in public-key cryptosystems that use the elliptic
curve discrete logarithm problem to establish security. The objective of this memory is to
assemble the most important facts and findings into a broad, unified overview of this field. To
illustrate certain points, we also discuss a some cryptosystems of the elliptic curve analogue
such as of the exchange key deffie-hellman and El Gamal cryptosystem.
Description
Keywords
Elliptic curves - finite fields