Introduction to Elliptic Curve Cryptography and Elliptic Curve Diffie-Hellman Key Exchange Protocol

00:00 - Basic information about elliptic curves
02:20 - Why do we care about groups?
04:01 - What is a group?
05:01 - Elliptic Curve Point Addition
12:25 - Adapting Elliptic curves for Cryptography
14:59 - Cyclic Subgroups in Abstract Algebra
23:40 - Cyclic Subgroups and Elliptic Curves
29:17 - Finding a base point of an Elliptic Curve Cryptosystem
32:30 - Fingerprinting an Elliptic Curve Cryptosystem
33:11 - Elliptic Curve Discrete Logarithm Problem
34:14 - Elliptic Curve Diffie-Hellman Key Exchange
38:48 - EC Public Key Cryptography
40:27 - Other Applications