Isogeny-Based Cryptography

Explore the cutting-edge field of isogeny-based cryptography in this comprehensive lecture. Delve into the crypto universe and cryptomania while examining main contributions and results in post-quantum primitives. Discover the core ideas, pros, and cons of isogeny-based systems, and learn about optimizations, radical isogenies, and root extraction techniques. Investigate isogeny pseudorandom functions, efficient signatures, and Sigma protocols. Gain insights into open questions and future directions in this rapidly evolving area of cryptography.

Introduction
Crypto universe
Cryptomania
Main Contribution
Main Results
PostQuantum Primitives
Open Questions
The Idea
Pros Cons
Result
Motivation
Optimizations
Radical Isogenes
Root Extraction
Conclusion
Isogeny pseudorandom functions
Efficient signatures
Sigma