Using TopGear in Overdrive: A More Efficient ZKPoK for SPDZ

Carsten Baum, Daniele Cozzo, Nigel P. Smart

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

24 Scopus citations

Abstract

The HighGear protocol (Eurocrypt 2018) is the fastest currently known approach to preprocessing for the SPDZ Multi-Party Computation scheme. Its backbone is formed by an Ideal Lattice-based Somewhat Homomorphic Encryption Scheme and accompanying Zero-Knowledge proofs. Unfortunately, due to certain characteristics of HighGear such current implementations limit the security parameters in a number of places. This is mainly due to memory and bandwidth consumption constraints. In this work we present a new approach to the ZKPoKs for the SPDZ Multi-Party Computation scheme. We rigorously formalize the original approach of HighGear and show how to improve upon it using a different proof strategy. This allows us to increase the security of the underlying protocols, whilst simultaneously also increasing the performance in terms of memory and bandwidth consumption as well as overall throughput of the SPDZ offline phase.

Original languageEnglish
Title of host publicationSelected Areas in Cryptography – SAC 2019 - 26th International Conference, Revised Selected Papers
EditorsKenneth G. Paterson, Douglas Stebila
PublisherSpringer
Pages274-302
Number of pages29
ISBN (Print)9783030384708
DOIs
StatePublished - 2020
Externally publishedYes
Event26th International Conference on Selected Areas in Cryptography, SAC 2019 - Waterloo, Canada
Duration: 12 Aug 201916 Aug 2019

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume11959 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference26th International Conference on Selected Areas in Cryptography, SAC 2019
Country/TerritoryCanada
CityWaterloo
Period12/08/1916/08/19

Bibliographical note

Publisher Copyright:
© 2020, Springer Nature Switzerland AG.

Funding

FundersFunder number
Horizon 2020 Framework Programme669255, 690978

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