High-throughput secure three-party computation for malicious adversaries and an honest majority

Jun Furukawa, Yehuda Lindell, Ariel Nof, Or Weinstein

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

85 Scopus citations

Abstract

In this paper, we describe a new protocol for secure three-party computation of any functionality, with an honest majority and a malicious adversary. Our protocol has both an information-theoretic and computational variant, and is distinguished by extremely low communication complexity and very simple computation. We start from the recent semi-honest protocol of Araki et al. (ACM CCS 2016) in which the parties communicate only a single bit per AND gate, and modify it to be secure in the presence of malicious adversaries. Our protocol follows the paradigm of first constructing Beaver multiplication triples and then using them to verify that circuit gates are correctly computed. As in previous work (e.g., the so-called TinyOT and SPDZ protocols), we rely on the cut-and-choose paradigm to verify that triples are correctly constructed. We are able to utilize the fact that at most one of three parties is corrupted in order to construct an extremely simple and efficient method of constructing such triples. We also present an improved combinatorial analysis for this cut-and-choose which can be used to achieve improvements in other protocols using this approach.

Original languageEnglish
Title of host publicationAdvances in Cryptology – EUROCRYPT 2017 - 36th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Proceedings
EditorsJean-Sebastien Coron, Jesper Buus Nielsen
PublisherSpringer Verlag
Pages225-255
Number of pages31
ISBN (Print)9783319566139
DOIs
StatePublished - 2017
Event36th Annual International Conference on the Theory and Applications of Cryptographic Techniques, EUROCRYPT 2017 - Paris, France
Duration: 30 Apr 20174 May 2017

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume10211 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference36th Annual International Conference on the Theory and Applications of Cryptographic Techniques, EUROCRYPT 2017
Country/TerritoryFrance
City Paris
Period30/04/174/05/17

Bibliographical note

Publisher Copyright:
© International Association for Cryptologic Research 2017.

Funding

Supported by the European Research Council under the ERC consolidators grant agreement n. 615172 (HIPS) and by the BIU Center for Research in Applied Cryptography and Cyber Security in conjunction with the Israel National Cyber Bureau in the Prime Minister’s Office.

FundersFunder number
European Research Council615172

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