Web page of François Morain
My public key.
Member of the GRACE team.
- 2016/05/23: Solving discrete logarithms on a 170-bit MNT curve by pairing reduction (with A. Guillevic, E. Thomé)
- 2016/05/23: Computing cardinalities of Q-curve reductions over finite fields (with C. Scribot, B. Smith)
- 2015/11/16: Factoring Safe Semiprimes with a Single Quantum Query (with F. Grosshans, T. Lawson, B. Smith)
Improving NFS for the discrete logarithm problem in non-prime finite fields (with R. Barbulescu, P. Gaudry, A. Guillevic -- EUROCRYPT 2015).
- 2014/11/28: Improvements to the number field sieve for non-prime finite fields (with R. Barbulescu, P. Gaudry, A. Guillevic).
- 2012/02/21: Discrete logarithm computations over finite fields using Reed-Solomon codes (with D. Augot)
- 2011/02/08: Modular equations for some eta-products, FM.
- 2010/10/15: a new record for ECPP, as announced during ECC2010 (slides).
- 2009/10/22: A remark on an article of S. Müller, FM.
- 2009/05/13: Advances in the CM method for elliptic curves (Fields Institute).
- 2009/04/17: Generalized Weber functions (version alpha).
- 2009/04/14: Edwards curves and CM curves