%0 Journal Article
%A Daghigh, H.
%A Bahramian, M.
%T Generalized Jacobian and Discrete Logarithm Problem on Elliptic Curves
%J Iranian Journal of Mathematical Sciences and Informatics
%V 4
%N 2
%U http://ijmsi.ir/article-1-88-en.html
%R 10.7508/ijmsi.2009.02.006
%D 2009
%K Elliptic Curve, Discrete Logarithm Problem, Generalized Jacobian.,
%X 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.
%> http://ijmsi.ir/article-1-88-en.pdf
%P 55-64
%& 55
%!
%9 Research paper
%L A-10-1-68
%+
%G eng
%@ 1735-4463
%[ 2009