Maliciously Secure Multi-party PSI with Lower Bandwidth and Faster Computation

  • Zhi Qiu
  • , Kang Yang
  • , Yu Yu*
  • , Lijing Zhou
  • *Corresponding author for this work

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

5 Scopus citations

Abstract

Private Set Intersection (PSI) allows a set of mutually distrustful parties, each holds a private data set, to compute the intersection of all sets, such that no information is revealed except for the intersection. The state-of-the-art PSI protocol (Garimella et al., CRYPTO’21) in the multi-party setting tolerating any number of malicious corruptions requires the communication bandwidth of O(nℓ| F| ) bits for the central party P0 due to the star architecture, where n is the number of parties, ℓ is the size of each set and | F| is the size of an exponentially large field F. When n and ℓ are large, this forms an efficiency bottleneck (especially for networks with restricted bandwidthes). In this paper, we present a new multi-party PSI protocol in dishonest-majority malicious setting, which reduces the communication bandwidth of the central party P0 from O(nℓ| F| ) bits to O(ℓ| F| ) bits using a tree architecture. Furthermore, our PSI protocol reduces the expensive LPN encoding operations performed by P0 by a factor of n as well as the computational cost by 2 nℓ hash operations in total. Additionally, while the multi-party PSI protocol (Garimella et al., CRYPTO’21) with a single output is secure, we present a simple attack against its multi-output extension, which allows an adversary to learn more information on the sets of honest parties beyond the intersection of all sets.

Original languageEnglish
Title of host publicationInformation and Communications Security - 24th International Conference, ICICS 2022, Proceedings
EditorsCristina Alcaraz, Liqun Chen, Shujun Li, Pierangela Samarati
PublisherSpringer Science and Business Media Deutschland GmbH
Pages69-88
Number of pages20
ISBN (Print)9783031157769
DOIs
StatePublished - 2022
Externally publishedYes
Event24th International Conference on Information and Communications Security, ICICS 2022 - Canterbury, United Kingdom
Duration: 5 Sep 20228 Sep 2022

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume13407 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference24th International Conference on Information and Communications Security, ICICS 2022
Country/TerritoryUnited Kingdom
CityCanterbury
Period5/09/228/09/22

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