Getting Ahead of the Elliptic Curve

Explore the fascinating world of elliptic curve cryptography (ECC) in this 46-minute conference talk by Martijn Grooten at NorthSec. Gain a comprehensive understanding of ECC without delving into complex mathematics. Learn about point addition, Elliptic Curve Diffie-Hellman algorithm, and its implementation in HTTPS. Discover how to use Wireshark to observe ECC in action. Examine elliptic curve digital signatures and learn from Sony's implementation mistakes. Investigate the controversial use of ECC in random number generation and get a glimpse into post-quantum algorithms. Designed for accessibility, this talk requires no prior mathematical knowledge and aims to provide context for encountering ECC in research while maintaining an engaging and fun approach.

Intro
Disclaimer
Elliptic curves
Point addition on an elliptic curve
Integer multiplication on an elliptic curve
Fast multiplication
Slow "division"
ECDH in Wireshark
ECDSA
Random numbers
Invalid Curve Attacks
Post-quantum cryptography
Conclusion