Welcome to the resource topic for 2013/660
Title:
Discrete Logarithms and Mordell-Weil Groups
Authors: Mohammad Sadek
Abstract:Let E_p be an elliptic curve over a prime finite field \Fp, p\ge5, and P_p,Q_p\in E_p(\Fp). The elliptic curve discrete logarithm problem, ECDLP, on E_p is to find m_p\in\mathbb{F}_p^{\times} such that Q_p=m_p P_p if Q_p\in\langle P_p\rangle. We propose an algorithm to attack the ECDLP relying on a Hasse principle detecting linear dependence in Mordell-Weil groups of elliptic curves via a finite number of reductions.
ePrint: https://eprint.iacr.org/2013/660
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