### Non-Interactive Multiparty Computation without Correlated Randomness

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

##### 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 $M_i$ such that the obfuscated modules, when put together, exhibit the functionality of the program obtained by combining'' the underlying modules $M_i$. This notion may be of independent interest.

Available format(s)
Publication info
A minor revision of an IACR publication in ASIACRYPT 2017
Keywords
secure multiparty computationnon-interactiveindistinguishability obfuscation
Contact author(s)
komargodski @ cornell edu
History
Short URL
https://ia.cr/2017/871

CC BY

BibTeX

@misc{cryptoeprint:2017/871,
author = {Shai Halevi and Yuval Ishai and Abhishek Jain and Ilan Komargodski and Amit Sahai and Eylon Yogev},
title = {Non-Interactive Multiparty Computation without Correlated Randomness},
howpublished = {Cryptology ePrint Archive, Paper 2017/871},
year = {2017},
note = {\url{https://eprint.iacr.org/2017/871}},
url = {https://eprint.iacr.org/2017/871}
}

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