@ARTICLE{Daghigh,
author = {Daghigh, H. and Bahramian, M. and },
title = {Generalized Jacobian and Discrete Logarithm Problem on Elliptic Curves},
volume = {4},
number = {2},
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. },
URL = {http://ijmsi.ir/article-1-88-en.html},
eprint = {http://ijmsi.ir/article-1-88-en.pdf},
journal = {Iranian Journal of Mathematical Sciences and Informatics},
doi = {10.7508/ijmsi.2009.02.006},
year = {2009}
}