Elliptic Curve Cryptography - Nick Gonella

Explore the cutting-edge world of Elliptic Curve Cryptography (ECC) in this informative 28-minute talk by Nick Gonella, an officer of White Hat Cal Poly. Delve into the machinery behind this revolutionary encryption method that's transforming the cryptography landscape. Discover why encryption is necessary, learn about modern encryption techniques, and understand the concept of asymmetric encryption. Examine the principles of trapdoor functions and their role in cryptography, with a focus on RSA and its limitations. Uncover the advantages of ECC, including its unique properties and implementation as a new trapdoor function. Gain insights into key generation processes and the improved Diffie-Hellman protocol. Analyze common ECC implementations, potential downsides, and the NIST incident. Conclude by weighing the significant benefits of this innovative cryptographic approach.

Intro
Why We Need Encryption
Modern Encryption
Asymmetric Encryption
Behind the Trapdoor
RSA is one of these
This is a good trapdoor...
but is it good enough?
Have no fear, ECC is here
An Elliptic Curve
Interesting Properties
A New Trapdoor
Key Generation
Example: Diffie-Hellman 2.0
Common Implementation
The Downsides
NIST Incident
The Benefits
The End