Non-interactive multiparty computation without correlated randomness

Shai Halevi*, Yuval Ishai, Abhishek Jain, Ilan Komargodski, Amit Sahai, Eylon Yogev

*Corresponding author for this work

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

19 Scopus citations

Abstract

We study the problem of non-interactive multiparty computation (NI-MPC) where a group of completely asynchronous parties can evaluate a function over their joint inputs by sending a single message to an evaluator who computes the output. Previously, the only general solutions to this problem that resisted collusions between the evaluator and a set of parties were based on multi-input functional encryption and required the use of complex correlated randomness setup. In this work, we present a new solution for NI-MPC against arbitrary collusions using a public-key infrastructure (PKI) setup supplemented with a common random string. A PKI is, in fact, the minimal setup that one can hope for in this model in order to achieve a meaningful “best possible” notion of security, namely, that an adversary that corrupts the evaluator and an arbitrary set of parties only learns the residual function obtained by restricting the function to the inputs of the uncorrupted parties. Our solution is based on indistinguishability obfuscation and DDH both with sub-exponential security. We extend this main result to the case of general interaction patterns, providing the above best possible security that is achievable for the given interaction. Our main result gives rise to a novel notion of (public-key) multiparty obfuscation, where n parties can independently obfuscate program modules Mi such that the obfuscated modules, when put together, exhibit the functionality of the program obtained by “combining” the underlying modules Mi. This notion may be of independent interest.

Original languageAmerican English
Title of host publicationAdvances in Cryptology – ASIACRYPT 2017 - 23rd International Conference on the Theory and Applications of Cryptology and Information Security, Proceedings
EditorsTsuyoshi Takagi, Thomas Peyrin
PublisherSpringer Verlag
Pages181-211
Number of pages31
ISBN (Print)9783319706993
DOIs
StatePublished - 2017
Externally publishedYes
Event23rd Annual International Conference on Theory and Application of Cryptology and Information Security, ASIACRYPT 2017 - Hong Kong, Hong Kong
Duration: 3 Dec 20177 Dec 2017

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume10626 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference23rd Annual International Conference on Theory and Application of Cryptology and Information Security, ASIACRYPT 2017
Country/TerritoryHong Kong
CityHong Kong
Period3/12/177/12/17

Bibliographical note

Publisher Copyright:
© International Association for Cryptologic Research 2017.

Fingerprint

Dive into the research topics of 'Non-interactive multiparty computation without correlated randomness'. Together they form a unique fingerprint.

Cite this