Cryptography & Graphs

Research Group at the University of Lleida

Research interests

   Elliptic curve cryptography is cutting edge technology in close interaction with the newest developments in computational number theory and higher arithmetic. Some of its advantages include significant security levels with comparatively smaller key lengths. As security policies tighten, up to date algorithms and techniques are needed to keep in pace.

   Our research focuses especially on computational aspects of elliptic and hyperelliptic curves over finite fields, such as cardinality algorithms, efficient halving methods, algorithms to obtain cryptographically useful curves, applications to identity-based cryptography, etc.