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MPC-friendly commitments for publicly verifiable covert security

Abstract:
We address the problem of efficiently verifying a commitment in a two-party computation. This addresses the scenario where a party P1 commits to a value 𝑥 to be used in a subsequent secure computation with another party P2 that wants to receive assurance that P1 did not cheat, i.e. that 𝑥 was indeed the value inputted into the secure computation. Our constructions operate in the publicly verifiable covert (PVC) security model, which is a relaxation of the malicious model of MPC appropriate in settings where P1 faces a reputational harm if caught cheating. We introduce the notion of PVC commitment scheme and indexed hash functions to build commitments schemes tailored to the PVC framework, and propose constructions for both arithmetic and Boolean circuits that result in very efficient circuits. From a practical standpoint, our constructions for Boolean circuits are 60× faster to evaluate securely, and use 36× less communication than baseline methods based on hashing. Moreover, we show that our constructions are tight in terms of required non-linear operations, by proving lower bounds on the nonlinear gate count of commitment verification circuits. Finally, we present a technique to amplify the security properties of our constructions that allows to efficiently recover malicious guarantees with statistical security
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1145/3460120.3485375

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Institution:
University of Oxford
Division:
MPLS
Department:
Computer Science
Oxford college:
Wolfson College
Role:
Author


Publisher:
Association for Computer Machinery
Host title:
Proceedings of the ACM Conference on Computer and Communications Security (CCS 2021)
Publication date:
2021-11-12
Acceptance date:
2021-09-03
Event title:
ACM Conference on Computer and Communications Security (CCS)
Event location:
Online
Event website:
https://www.sigsac.org/ccs/CCS2021/
Event start date:
2021-11-15
Event end date:
2021-11-19
DOI:
ISBN:
978-1-4503-8454-4


Language:
English
Keywords:
Pubs id:
1196458
Local pid:
pubs:1196458
Deposit date:
2021-09-29
ARK identifier:

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