Elliptic Curve Cryptography in Practice

This lecture delves into the practical applications of elliptic curve cryptography, exploring its use in various real-world scenarios such as Swiss passports and COVID certificates. The instructor explains the Diffie-Hellman protocol on elliptic curves, its implementation in Bluetooth and biometric passports, and the importance of subgroup membership verification. The lecture also covers the ECIES cryptosystem, digital signature algorithm ECDSA, and the concept of pairings in cryptographic operations.