A Pure Indistinguishability Obfuscation Approach to Adaptively-Sound SNARGs for NP

Brent Waters; David J. Wu

Paper 2024/933

A Pure Indistinguishability Obfuscation Approach to Adaptively-Sound SNARGs for NP

Brent Waters, The University of Texas at Austin, NTT Research

David J. Wu, The University of Texas at Austin

Abstract

We construct an adaptively-sound succinct non-interactive argument (SNARG) for NP in the CRS model from sub-exponentially-secure indistinguishability obfuscation ($i\mathcal{O}$) and sub-exponentially-secure one-way functions. Previously, Waters and Wu (STOC 2024), and subsequently, Waters and Zhandry (CRYPTO 2024) showed how to construct adaptively-sound SNARGs for NP by relying on sub-exponentially-secure indistinguishability obfuscation, one-way functions, and an additional algebraic assumption (i.e., discrete log, factoring, or learning with errors). In this work, we show that no additional algebraic assumption is needed and vanilla (sub-exponentially-secure) one-way functions already suffice in combination with $i\mathcal{O}$.

Metadata

Available format(s): PDF
Category: Foundations
Publication info: Preprint.
Keywords: succinct non-interactive arguments SNARG adaptive soundness indistinguishability obfuscation
Contact author(s): bwaters @ cs utexas edu
dwu4 @ cs utexas edu
History: 2024-07-03: revised; 2024-06-11: received; See all versions
Short URL: https://ia.cr/2024/933
License: CC BY

BibTeX

@misc{cryptoeprint:2024/933,
      author = {Brent Waters and David J. Wu},
      title = {A Pure Indistinguishability Obfuscation Approach to Adaptively-Sound {SNARGs} for {NP}},
      howpublished = {Cryptology {ePrint} Archive, Paper 2024/933},
      year = {2024},
      url = {https://eprint.iacr.org/2024/933}
}