Notions about elliptic curves and their uses in cryptography
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Date
2019
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UNIVERSITY’S MOHAMED BOUDIAF OF M’SILA Faculty of Mathematics and computer sciences Department of Mathematics- Option : Algèbre and discrète
Abstract
In this memory, we present fundamental notions about elliptic
curves and some of their properties over the finite fields. Then, we
present some cryptosystems that based on the difficulty of solving
the discrete logarithm problem in the elliptic curve group.
Description
Keywords
Elliptic curves, abelian group, finite field, discrete logarithm, cryptosystem, encryption, decryption