Partner 4: Essen Department webpage at Universität DuisburgEssen (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. pairingfriendly curves of genus 2; resistance against sidechannel 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
