Title of article
Generalized Jacobian and Discrete Logarithm Problem on Elliptic Curves
Author/Authors
Daghigh، H. نويسنده Department of Pure Mathematics,Faculty of Mathematical Sciences, University of Kashan, Kashan, Iran Daghigh, H. , Bahramian، M. نويسنده Department of Pure Mathematics,Faculty of Mathematical Sciences, University of Kashan, Kashan, Iran Bahramian, M.
Issue Information
دوفصلنامه با شماره پیاپی سال 2009
Pages
10
From page
55
To page
64
Abstract
Let E be an elliptic curve over the finite field Fq, P a point in
E(Fq) 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 ? 1, using generalized jacobian of E.
Journal title
Iranian Journal of Mathematical Sciences and Informatics (IJMSI)
Serial Year
2009
Journal title
Iranian Journal of Mathematical Sciences and Informatics (IJMSI)
Record number
1984080
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