RT - Journal Article
T1 - Generalized Jacobian and Discrete Logarithm Problem on Elliptic Curves
JF - IJMSI
YR - 2009
JO - IJMSI
VO - 4
IS - 2
UR - http://ijmsi.ir/article-1-88-en.html
SP - 55
EP - 64
K1 - Elliptic Curve
K1 - Discrete Logarithm Problem
K1 - Generalized Jacobian.
AB - 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.
LA eng
UL http://ijmsi.ir/article-1-88-en.html
M3 10.7508/ijmsi.2009.02.006
ER -