A NEW ATTACKING METHOD TO SOLVETHE DISCRETE LOGARITHM PROBLEM ON ELLIPTIC CURVES

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Muthanna Journal of Pure Sciences – MJPS
Volume 3 issue 1, 2016

Ammar Ali Neamah Alrammahi
Mathematical Department,
Faculty of Mathematics and Computer Science
Kufa University

Abstract

In this paper, we provides two propositions that give a direct computing of the Elliptic Curve Discrete Logarithm problem (ECDLP) and propose a method for the computation of discrete logarithms in the Elliptic Curve (EC) defined over finite fields. This propositions and propose method provides a new approach to the field of attacking methods of the Elliptic Curve Cryptosystems. In addition, we give a program to implement the proposed method by using MATLAP.

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