Welcome to the resource topic for 2008/444
Title:
Elliptic divisibility sequences and the elliptic curve discrete logarithm problem
Authors: Rachel Shipsey, Christine Swart
Abstract:We use properties of the division polynomials of an elliptic curve E over a finite field \mathbb{F}_q together with a pure result about elliptic divisibility sequences from the 1940s to construct a very simple alternative to the Menezes-Okamoto-Vanstone algorithm for solving the elliptic curve discrete logarithm problem in the case where \#E(\mathbb{F}_q) = q-1.
ePrint: https://eprint.iacr.org/2008/444
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