Guaranteed Output in O(√n) Rounds for Round-Robin Sampling Protocols

Ran Cohen, Jack Doerner, Yashvanth Kondi, Abhi Shelat

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

Abstract

We introduce a notion of round-robin secure sampling that captures several protocols in the literature, such as the “powers-of-tau” setup protocol for pairing-based polynomial commitments and zk-SNARKs, and certain verifiable mixnets. Due to their round-robin structure, protocols of this class inherently require n sequential broadcast rounds, where n is the number of participants. We describe how to compile them generically into protocols that require only O(n) broadcast rounds. Our compiled protocols guarantee output delivery against any dishonest majority. This stands in contrast to prior techniques, which require Ω(n) sequential broadcasts in most cases (and sometimes many more). Our compiled protocols permit a certain amount of adversarial bias in the output, as all sampling protocols with guaranteed output must, due to Cleve’s impossibility result (STOC’86). We show that in the context of the aforementioned applications, this bias is harmless.

Original languageEnglish
Title of host publicationAdvances in Cryptology – EUROCRYPT 2022 - 41st Annual International Conference on the Theory and Applications of Cryptographic Techniques, 2022, Proceedings
EditorsOrr Dunkelman, Stefan Dziembowski
PublisherSpringer Science and Business Media Deutschland GmbH
Pages241-271
Number of pages31
ISBN (Print)9783031069437
DOIs
StatePublished - 2022
Externally publishedYes
Event41st Annual International Conference on the Theory and Applications of Cryptographic Techniques, EUROCRYPT 2022 - Trondheim, Norway
Duration: 30 May 20223 Jun 2022

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume13275 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference41st Annual International Conference on the Theory and Applications of Cryptographic Techniques, EUROCRYPT 2022
Country/TerritoryNorway
CityTrondheim
Period30/05/223/06/22

Bibliographical note

Publisher Copyright:
© 2022, International Association for Cryptologic Research.

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