Valerio Cini:: Lattice-Based SNARKs: Publicly Verifiable, Preprocessing, and Recursively Composable

Speaker: Valerio Cini (NTT Research)

Date: Friday, April 05, 2024

Time: 10:30 AM to 12:00 PM Note: all times are in the Eastern Time Zone

Public: Yes

Location: 32-G882 (Hewlett)

Event Type: Seminar

Room Description:

Host: Vinod Vaikuntanathan and Yael Kalai

Contact: Megan F Farmer, mfarmer@csail.mit.edu

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Reminders to: seminars@csail.mit.edu, cis-seminars@csail.mit.edu

Reminder Subject: TALK: Valerio Cini:: Lattice-Based SNARKs: Publicly Verifiable, Preprocessing, and Recursively Composable

A succinct non-interactive argument of knowledge (SNARK) allows a prover to produce a short proof that certifies the veracity of a certain NP-statement. In the last decade, a large body of work has studied candidate constructions that are secure against quantum attackers. Unfortunately, no known candidate matches the efficiency and desirable features of (pre-quantum) constructions based on bilinear pairings.

In this work, we make progress on this question. We propose the first lattice-based SNARK that simultaneously satisfies many desirable properties: It (i) is tentatively post-quantum secure, (ii) is publicly-verifiable, (iii) has a logarithmic-time verifier and (iv) has a purely algebraic structure making it amenable to efficient recursive composition. Our construction stems from a general technical toolkit that we develop to translate pairing-based schemes to lattice-based ones. At the heart of our SNARK is a new lattice-based vector commitment (VC) scheme supporting openings to constant-degree multivariate polynomial maps, which is a candidate solution for the open problem of constructing VC schemes with openings to beyond linear functions. However, the security of our constructions is based on a new family of lattice-based computational assumptions which naturally generalises the standard Short Integer Solution (SIS) assumption.

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Created by Megan F Farmer Email at Thursday, March 28, 2024 at 12:12 PM.