[en] In the last decades public key cryptosystems and digital signature algorithms have been designed based on mathematical objects that have been known and whose properties have been studied for a long time: elliptic curves. The aim of this work is to study the basic properties of elliptic curves in order to be able to understand the behavior and to program some of the best known cryptosystems, like Diffie-Hellman key exchange and ElGamal digital signature.

Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2018, Director: Núria Vila i Oliva