devcon 7 / non native arithmetic via crt codes
Duration: 00:23:20
Speaker: Liam Eagen
Type: Talk
Expertise: Expert
Event: Devcon
Date: Nov 2024
Categories
Keynote: Programmable Cryptography and Ethereum
Programmable Cryptography is a "second generation" of cryptographic primitives - primitives that allow arbitrary programs to be executed "inside of" or "on top of" cryptographic objects. Programmable cryptography provides three key affordances that complement and amplify the affordances of Ethereum--verifiability, confidentiality, and non-interactivity. We'll discuss how these technologies can reshape the Internet over the next 50 years.
Keynote: The Universal Cryptographic Adapter
The "secret" third affordance of Zero-Knowledge proof after 1) Privacy and 2) Succinctness is Interoperability. ZK enables us to continuously refactor data, aggregate it from different sources, and transforming it without loosing its integrity. Starting with the Zupass project, and now with the broader adoption of the POD and GPC format, 0xPARC has been exploring using ZK for data sovereignty and creating more interoperable data ecosystem. We will cover our learnings and progress in this talk.
Clookup - Composite Function based Lookup Argument
Presenting Clookup, a novel lookup protocol that enhances efficiency in verifiable computations. By using a composite function approach and multivariate polynomials within the sumcheck protocol, Clookup achieves optimal time complexity \(O(m(m+n))\) when processing \(2^m\) witness elements against a \(2^n\) table. This method eliminates the need to compute coefficient forms of composite functions.
Lessons from integrating LogUp-GKR in the Miden VM
In this talk we will describe how to modify the STARK protocol to prove multiset checks using the GKR protocol. We will take a deep dive of the approach we’ve taken to implement it in the Miden VM, covering the benefits and challenges we've experienced.
Folding STARKs with the Mova folding scheme
We will present a new folding scheme that is 5 to 10 times more efficient than Nova, and 2.5 to 4 times more efficient than Hypernova. We will then explain how to use the scheme so as to construct a folding scheme for STARK proofs.
hallucinated servers another prog crypto chip
An introduction to programmable cryptography, culminating in the dream of a "hallucinated server".
Circom buses: a new journey
Circom is one of the most widely used languages in programmable cryptography. In this talk we present an amazing new circom feature, called buses. Like structs in other languages, programmers can define their own buses, as new types, in a general way to create structured collections of signals and freely use them in their code. Buses increase the readability, modularity and security of circuits. Illustrative examples as well as the renewed circomlib, using buses, are presented.
Polynomial Commitment Schemes for Zero-Knowledge Proof Systems: A Hands-on Workshop
In this workshop, we will compare three distinct classes of Polynomial Commitment Schemes employed in various zero-knowledge proof systems: pairings-based (e.g., KZG), discrete logarithm-based (e.g., IPA), and hash function-based (e.g., FRI). We will explore their mathematical constructions, properties, and trade-offs. Participants will engage in hands-on proof-of-concept implementations, gaining practical experience of these advanced cryptographic protocols.
Wizard: build your own P-IOP protocol in 15 min!
Wizard is a new open-source framework allowing you to write your own ZK proving scheme. Wizard is one of the backbones of Linea zkEVM's prover and it can be used to implement advanced protocols easily. In this session I will guide you through an implementation of Plonk using just a few lines of code.
Elliptic curves and SNARKs: past, present and future.
Elliptic curves are used in many proof systems. Some systems (e.g. Bulletproofs) use plain curves (e.g. ed25519). Some (e.g. Groth16, KZG-PLONK) use pairing-friendly curves (e.g. BLS12-381). Some recursive systems require pairing-friendly 2-cycle (e.g. MNT4/6) or 2-chains (e.g. BLS12-377/BW6-761). Some other recursive/folding systems require plain 2-cycle (e.g. Pasta). In this talk we will go through the difference between these curves and why there isn't a silver bullet curve for all scenarios.