I still can't get my head around how you put a lookup table into it. I'd have to find that too. Yeah. So look, lookups are great. Uh, but the look of protocols we had, uh, they had, you,. you, you paid a price. The price was essentially that you had to put the table in the circuit. If the table had size, T, your circuit would grow by, by T.
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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