An efficiency-preserving transformation from honest-verifier statistical zero-knowledge to statistical zero-knowledge

Pavel Hubáček*, Alon Rosen, Margarita Vald

*Corresponding author for this work

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

Abstract

We present an unconditional transformation from any honest-verifier statistical zero-knowledge (HVSZK) protocol to standard SZK that preserves round complexity and efficiency of both the verifier and the prover. This improves over currently known transformations, which either rely on some computational assumptions or introduce significant computational overhead. Our main conceptual contribution is the introduction of instance-dependent SZK proofs for NP, which serve as a building block in our transformation. Instance-dependent SZK for NP can be constructed unconditionally based on instance-dependent commitment schemes of Ong and Vadhan (TCC’08). As an additional contribution, we give a simple constant-round SZK protocol for Statistical-Difference resembling the textbook HVSZK proof of Sahai and Vadhan (J.ACM’03). This yields a conceptually simple constant-round protocol for all of SZK.

Original languageEnglish
Title of host publicationAdvances in Cryptology - EUROCRYPT 2018 - 37th Annual International Conference on the Theory and Applications of Cryptographic Techniques, 2018 Proceedings
EditorsJesper Buus Nielsen, Vincent Rijmen
PublisherSpringer Verlag
Pages66-87
Number of pages22
ISBN (Print)9783319783710
DOIs
StatePublished - 2018
Event37th Annual International Conference on the Theory and Applications of Cryptographic Techniques, EUROCRYPT 2018 - Tel Aviv, Israel
Duration: 29 Apr 20183 May 2018

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume10822 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference37th Annual International Conference on the Theory and Applications of Cryptographic Techniques, EUROCRYPT 2018
Country/TerritoryIsrael
CityTel Aviv
Period29/04/183/05/18

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