[Resource Topic] 2022/820: Public-Coin 3-Round Zero-Knowledge from Learning with Errors and Keyless Multi-Collision-Resistant Hash

Welcome to the resource topic for 2022/820

Title:
Public-Coin 3-Round Zero-Knowledge from Learning with Errors and Keyless Multi-Collision-Resistant Hash

Authors: Susumu Kiyoshima

Abstract:

We construct a public-coin 3-round zero-knowledge argument for NP assuming (i) the sub-exponential hardness of the learning with errors (LWE) problem and (ii) the existence of keyless multi-collision-resistant hash functions against slightly super-polynomial-time adversaries. These assumptions are almost identical to those that were used recently to obtain a private-coin 3-round zero-knowledge argument [Bitansky et al., STOC 2018]. (The difference is that we assume sub-exponential hardness instead of quasi-polynomial hardness for the LWE problem.)

ePrint: https://eprint.iacr.org/2022/820

Talk: https://www.youtube.com/watch?v=E2Z7GcX_3fg

Slides: https://iacr.org/submit/files/slides/2022/crypto/crypto2022/111/slides.pdf

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