ELLIPTIC CURVE CRYPTOGRAPHY
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Date
2008-04
Authors
UDIN, MD NIZAM
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Abstract
The study of the use of elliptic curve for public key cryptosystem has been developed
almost twenty years ago. The strength of the elliptic curve cryptosystem relies on the
elliptic curve discrete logarithm problem (ECDLP) solutions. This thesis will focus
on Elliptic Curve Cryptography based on prime field. Firstly, this thesis will propose
a new method of imbedding plaintext to the point on elliptic curve. After that, the
thesis will implement encrypt and decrypt process for Elliptic Curve Cryptography
by using two most popular protocol cryptosystem, EIGamal Elliptic Curve
Cryptosystem and Menezes - Vanstone Cryptosystem. 'MaplelO' Software is used to
find and compute points on the elliptic and also computing addition and scalar
multiplication in the implementation Elliptic Curve Cryptography. Finally, this thesis
will make a comparison between EIGamal Elliptic Curve Cryptosystem and
Menezes-Vanstone Cryptosystem based on the space consumption, time
consumption and their security in the Elliptic Curve Cryptography respectively
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Keywords
ELLIPTIC CURVE , CRYPTOGRAPHY