There's another big way to avoid FFTs. And that this was very much highlighted in the hyperplunk paper. Instead is to use the sum check protocol. The sum check protocol avoids all FFTs like the folding does. So it saves you that 50%. It savesYou that 50%. And then you don't have to do the folding and then the. And you do not have to commit to these error terms. I'll see which one sticks in the long run on your open.
This week, Anna and Ariel Gabizon cover the SNARK trilogy; a history of pairing-based SNARKs in 3 acts. Starting from Jens Groth’s early works on SNARKs, Ariel takes us on a journey through key moments and breakthroughs in SNARKs over the last decade. They also dive into the emerging accumulation research on folding schemes and Ariel’s latest work surrounding lookup tables! This is an episode you won’t want to miss.
Here are some additional links for this episode:
Relevant Jens Groth Papers
PLONK-Relative Papers
Lookup-Relative Papers
Additional Resources
- Pinocchio: Nearly Practical Verifiable Computation by Parno, Howell, Gentry and Raykova
- Sonic: Zero-Knowledge SNARKs from Linear-Size Universal and Updateable Structured Reference Strings by Maller, Bowe, Kohlweiss, and Meiklejohn
- Perpetual Powers of Tau GitHub
- Delegating Computation: Interactive Proofs for Muggles by Goldwasser, Kalai and Rothblum
- Efficient Zero-Knowledge Arguments for Arithmetic Circuits in Discrete Log Setting by Bootle, Cerulli, Chaidos, Groth and Petit
- Nova: Recursive Zero-Knowledge Arguments from Folding Schemes by Kothapalli, Setty and Tzialla
- Episode 232: Cutting Edge ZK Research with Mary Maller
- ZK Whiteboard Sessions - Module Six: Lookup Tables for Performance Optimisation
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