SAC2020 Summer School by Ben Smith - Modern elliptic curve cryptography Part 2/2

Modern elliptic curve cryptography - Part 2/2
Ben Smith, INRIA and École Polytechnique

This is a very short course on the foundations of modern elliptic curve cryptography. First, we will cover the basics on elliptic curves and their arithmetic, and the difficulty and inter-relationship of the Elliptic Curve Discrete Log and Elliptic Curve Diffie-Hellman problems. Then, we will dive into the design of state-of-the-art ECC protocols, including Curve25519/X25519 key exchange and contemporary elliptic curve signature schemes.