A Proposed Implementation of Elliptic Curve Exponentiation over Prime Field ( ) in the Global Smart Cards

Authors

  • T. Abdurahmonov, Eng-Thiam Yeoh, and Helmi Mohamed Hussain Author

Keywords:

Elliptic curve, finite field, exponentiation, coordinate system, DLP, global smart card

Abstract

This paper is explained about elliptic curve 
exponentiation over prime field ( ) which are Affine, 
projective, Jacobian, Chunnovsky-Jacobian and the modified 
Jacobian coordinate systems that how to implement elliptic 
curve exponentiation over prime field ( ) into Elliptic Curve 
(EC) encryption and digital signature in the global smart cards. 
These coordinate systems are explained the underlying 
arithmetic operations with formulae and geometrical diagrams. 
Point addition and doubling of coordinate systems over prime 
field  are mentioned for every coordinate system.  Thus, we 
proposed mixed coordinate systems over prime field ( ) in the 
EC encryption and digital signature of the global smart cards

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Published

06.01.2013

Issue

Vol. 3 No. 1 (2013): Volume 3 issue 1 (2013)

Section

Articles

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How to Cite

A Proposed Implementation of Elliptic Curve Exponentiation over Prime Field ( ) in the Global Smart Cards. (2013). International Journal of Information and Electronics Engineering, 3(1), 72-76. https://ijiee.org/index.php/ijiee/article/view/628