Welcome to the resource topic for 2001/041
Title:
Solving Elliptic Curve Discrete Logarithm Problems Using Weil Descent
Authors: Michael Jacobson, Alfred Menezes, Andreas Stein
Abstract:We provide a concrete instance of the discrete logarithm problem
on an elliptic curve over F_{2^{155}} which resists all previously
known attacks, but which can be solved with modest computer
resources using the Weil descent attack methodology of Frey. We
report on our implementation of index-calculus methods for
hyperelliptic curves over characteristic two finite fields, and
discuss the cryptographic implications of our results.
ePrint: https://eprint.iacr.org/2001/041
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