Volume 4, Issue 2 (November 2009)
IJMSI 2009, 4(2): 55-64 |
Back to browse issues page
Download citation:
BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks
Send citation to:
BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks
Send citation to:
Daghigh H, Bahramian M. Generalized Jacobian and Discrete Logarithm Problem on Elliptic Curves. IJMSI 2009; 4 (2) :55-64
URL: http://ijmsi.ir/article-1-88-en.html
URL: http://ijmsi.ir/article-1-88-en.html
Abstract:
Let E be an elliptic curve over the finite field F_{q}, P a point in E(F_{q}) of order n, and Q a point in the group generated by P. The discrete logarithm problem on E is to find the number k such that Q = kP. In this paper we reduce the discrete logarithm problem on E[n] to the discrete logarithm on the group F*_{q} , the multiplicative group of nonzero elements of Fq, in the case where n | q &minus 1, using generalized jacobian of E.
Type of Study: Research paper |
Subject:
General
| Rights and permissions | |
 |
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License. |
