International Association for Cryptologic Research

International Association
for Cryptologic Research

CryptoDB

Paper: Solving Elliptic Curve Discrete Logarithm Problems Using Weil Descent

Authors:
Michael Jacobson
Alfred Menezes
Andreas Stein
Download:
URL: http://eprint.iacr.org/2001/041
Search ePrint
Search Google
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.
BibTeX
@misc{eprint-2001-11453,
  title={Solving Elliptic Curve Discrete Logarithm Problems Using Weil Descent},
  booktitle={IACR Eprint archive},
  keywords={foundations / elliptic curve discrete logarithm problem, Weil descent},
  url={http://eprint.iacr.org/2001/041},
  note={ ajmeneze@uwaterloo.ca 11460 received 17 May 2001},
  author={Michael Jacobson and Alfred Menezes and Andreas Stein},
  year=2001
}