FP6 Research and Training Network
Galois Theory and Explicit Methods

Partner 4: Essen

Scientist in charge:Gerhard Frey
ESR:Adam Mohamed
Staff member:Sara Arias-de-Reyna
Lior Bary-Soroker
Lassina Dembele
Gabor Wiese
External member:Dieter Geyer
Gabriele Nebe
Winfried Scharlau
Michael Stoll
Junior member:Oscar Ledesma
Marios Magioladitis
Oscar Ocampo
Xavier Taixes
Marco Wolter

Department webpage at Universität Duisburg-Essen (Germany)

Responsibilities include:

  • Oct 1, 2007: milestone MD1
    Report: construction of curves suitable for cryptography with discrete logarithms, index calculus and pairings. Result of task D1
  • Oct 1, 2008: milestone MD2
    Report: construction of curves with RM and CM curves of genus 2. pairing-friendly curves of genus 2; resistance against side-channel attacks ; Result of tasks D1 and D2
  • Oct 1, 2008: milestone MR12
    Audit certificate
  • May 4 - May 6, 2009: Pairings in Arithmetic Geometry and Cryptography
    The workshop will take place at May 4, 5 and 6 , 2009. In the workshop we shall study bilinear structures on ideal class groups of curves over finite fields induced by duality theorems of class field theory. Computational aspects as well as applications to public key cryptography will be in the center of the talks. We plan to have two series of introductary minicourses in the mornings and lectures about the state of the art and new perspectives in the afternoons. Confirmed speakers are: P. Barreto, S.Duquesne,D.M. Freeman, G. Frey, F. Hess, D. Lubicz, M. Naehrig, M. Scott, F. Vercauteren. A program will be announced soon.
  • Oct 1, 2009: milestone MD3
    Report: use of Quadratic sieve in Brauer group index calculus. application of Brauer group methods to discrete logs ; Result of task D3
  • Oct 1, 2010: milestone MR24
    Audit certificate