Simplifying Trusted Setups with Isogeny-Based Protocols

In this week’s episode, we take the podcast in a slightly different direction and dive into Isogenies - a topic at the cutting edge of cryptography. We look at how they are related to VDFs and randomness generation. Our guest, Luca de Feo, one of the co-inventor of SIDH, helps us get an understanding for what Isogenies - or morphisms of algebraic groups - really are.

Here are some useful links to check out:

https://sike.org/

https://isogeny.org/

https://vdfresearch.org/

Some visualizations:

https://isogenies.enricflorit.com/

Some blog posts:

https://blog.intothesymmetry.com/2019/07/on-isogenies-verifiable-delay-functions.html

https://www.esat.kuleuven.be/cosic/asiacrypt19-verifiable-delay-functions-from-supersingular-isogenies-and-pairings/

https://www.esat.kuleuven.be/cosic/elliptic-curves-are-quantum-dead-long-live-elliptic-curves/

https://www.esat.kuleuven.be/cosic/csidh-post-quantum-key-exchange-using-isogeny-based-group-actions/

https://www.esat.kuleuven.be/cosic/csi-fish-a-new-record-class-group-computation-and-fast-isogeny-based-signatures/

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