The property of having, of being like additively homomorphic or yeah. The commitment is called, yeah, would be called in homomorphism. It does need that. Like, so definitely. So that they cannot be used on Friday. But the point is to get caulk, we're going to use, we'reGoing to use something. That's what bulletproofs has. Okay. What KZG has is it has this, because of the pairing, it has sort of this partial multiplicative homomorphism which allows you to multiply by F1 and F2. And now I ask you, is the product of the F's equal to the products of the G
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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