GROUPE R E G A R D S Technical Report CG–2001/1 UCL Crypto Group Technical Report Series http://www.dice.ucl.ac.be/crypto/ Place du Levant 3 B-1348 Louvain-la-Neuve, Belgium Phone: (+32) 10 472541 Fax: (+32) 10 472598 Several Optimizations for Elliptic Curves Implementation on Smart Card Mathieu Ciet · Gilles Piret · Jean-Jacques Quisquater