Criptografía basada en Isogenias

Abstract

In this project we will make an introduction to the Di e-Hellman key exchange protocol based on iogenies of supersingular elliptic curves. Firstly, we will study some bibliography about elliptic curves and de ne the supersingular elliptic curves. Sec ondly, we will review the concept of isogeny and construct the base for our key ex change protocol, the 퓁-isogeny graphs. Later, a detailed explanation of this protocol will be given together with an exhaustive example of it. Finally, a SAGEMath pro gramm will be developed to make instances of the protocol according to this projec.