Round-Optimal Secure Two-Party Computation from Trapdoor Permutations

Michele Ciampi, Rafail Ostrovsky, Luisa Siniscalchi, Ivan Visconti

Research output: Chapter in Book/Report/Conference proceedingConference contribution


In this work we continue the study on the round complexity of secure two-party computation with black-box simulation.

Katz and Ostrovsky in CRYPTO 2004 showed a 5 (optimal) round construction assuming trapdoor permutations for the general case where both players receive the output. They also proved that their result is round optimal. This lower bound has been recently revisited by Garg et al. in Eurocrypt 2016 where a 4 (optimal) round protocol is showed assuming a simultaneous message exchange channel. Unfortunately there is no instantiation of the protocol of Garg et al. under standard polynomial-time hardness assumptions.

In this work we close the above gap by showing a 4 (optimal) round construction for secure two-party computation in the simultaneous message channel model with black-box simulation, assuming trapdoor permutations against polynomial-time adversaries.

Our construction for secure two-party computation relies on a special 4-round protocol for oblivious transfer that nicely composes with other protocols in parallel. We define and construct such special oblivious transfer protocol from trapdoor permutations. This building block is clearly interesting on its own. Our construction also makes use of a recent advance on non-malleability: a delayed-input 4-round non-malleable zero knowledge argument.
Original languageEnglish
Title of host publicationTheory of Cryptography
EditorsYael Kalai, Leonid Reyzin
Place of PublicationCham
PublisherSpringer International Publishing AG
Number of pages33
ISBN (Electronic)978-3-319-70500-2
ISBN (Print)978-3-319-70499-9
Publication statusPublished - 5 Nov 2017
Event15th Theory of Cryptography Conference - The Charles Commons Conference Center, Johns Hopkins University, Baltimore, United States
Duration: 12 Nov 201515 Nov 2017

Publication series

NameLecture Notes in Computer Science
PublisherSpringer, Cham
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349


Conference15th Theory of Cryptography Conference
Abbreviated titleTCC 2017
CountryUnited States
Internet address

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