From fairness to full security in multiparty computation

Ran Cohen*, Iftach Haitner, Eran Omri, Lior Rotem

*Corresponding author for this work

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

5 Scopus citations

Abstract

In the setting of secure multiparty computation (MPC), a set of mutually distrusting parties wish to jointly compute a function in a correct and private manner. An MPC protocol is called fully secure if no adversary can prevent the honest parties from obtaining their outputs. A protocol is called fair if an adversary can prematurely abort the computation, however, only before learning any new information. We present highly efficient transformations from fair computations to fully secure computations, assuming the fraction of honest parties is constant (e.g., 1 % of the parties are honest). Compared to previous transformations that require linear invocations (in the number of parties) of the fair computation, our transformations require super-logarithmic, and sometimes even super-constant, such invocations. One application of these transformations is a new δ -bias coin-flipping protocol, whose round complexity has a super-logarithmic dependency on the number of parties, improving over the protocol of Beimel, Omri, and Orlov (Crypto 2010) that has a linear dependency. A second application is a new fully secure protocol for computing the Boolean OR function, with a super-constant round complexity, improving over the protocol of Gordon and Katz (TCC 2009) whose round complexity is linear in the number of parties. Finally, we show that our positive results are in a sense optimal, by proving that for some functionalities, a super-constant number of (sequential) invocations of the fair computation is necessary for computing the functionality in a fully secure manner.

Original languageEnglish
Title of host publicationSecurity and Cryptography for Networks - 11th International Conference, SCN 2018, Proceedings
EditorsDario Catalano, Roberto De Prisco
PublisherSpringer Verlag
Pages216-234
Number of pages19
ISBN (Print)9783319981123
DOIs
StatePublished - 2018
Event11th International Conference on Security and Cryptography for Networks, SCN 2018 - Amalfi, Italy
Duration: 5 Sep 20187 Sep 2018

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume11035 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference11th International Conference on Security and Cryptography for Networks, SCN 2018
Country/TerritoryItaly
CityAmalfi
Period5/09/187/09/18

Funding

FundersFunder number
National Science FoundationTWC-1664445
Alfred P. Sloan Foundation996698
Horizon 2020 Framework Programme714253, 638121
European Research Council
Israel Science Foundation152/17, 544/13, 483/13
Northeastern University

    Fingerprint

    Dive into the research topics of 'From fairness to full security in multiparty computation'. Together they form a unique fingerprint.

    Cite this