A Generic Transform from Multi-round Interactive Proof to NIZK

  • Pierre Alain Fouque
  • , Adela Georgescu
  • , Chen Qian
  • , Adeline Roux-Langlois
  • , Weiqiang Wen

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We present a new generic transform that takes a multi-round interactive proof for the membership of a language L and outputs a non-interactive zero-knowledge proof (not of knowledge) in the common reference string model. Similar to the Fiat-Shamir transform, it requires a hash function H. However, in our transform the zero-knowledge property is in the standard model, and the adaptive soundness is in the non-programmable random oracle model (NPROM ). Behind this new generic transform, we build a new generic OR-composition of two multi-round interactive proofs. Note that the two common techniques for building OR-proofs (parallel OR-proof and sequential OR-proof) cannot be naturally extended to the multi-round setting. We also give a proof of security for our OR-proof in the quantum oracle model (QROM ), surprisingly the security loss in QROM is independent from the number of rounds.

Original languageEnglish
Title of host publicationPublic-Key Cryptography - PKC 2019 - 22nd IACR International Conference on Practice and Theory of Public-Key Cryptography, Proceedings
EditorsAlexandra Boldyreva, Vladimir Kolesnikov
PublisherSpringer Science and Business Media Deutschland GmbH
Pages461-481
Number of pages21
ISBN (Print)9783031313707
DOIs
Publication statusPublished - 1 Jan 2023
Externally publishedYes
Event26th IACR International Conference on Practice and Theory of Public-Key Cryptography, PKC 2023 - Atlanta, United States
Duration: 7 May 202310 May 2023

Publication series

NameLecture Notes in Computer Science
Volume13941 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference26th IACR International Conference on Practice and Theory of Public-Key Cryptography, PKC 2023
Country/TerritoryUnited States
CityAtlanta
Period7/05/2310/05/23

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