Comparison-based MPC in Star Topology

Gowri R. Chandran, Carmit Hazay, Robin Hundt, Thomas Schneider

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

Abstract

With the large amount of data generated nowadays, analysis of this data has become eminent. Since a vast amount of this data is private, it is also important that the analysis is done in a secure manner. Comparison-based functions are commonly used in data analysis. These functions use the comparison operation as the basis. Secure computation of such functions have been discussed for median by Aggarwal et al. (EUROCRYPT’04) and for convex hull by Shelat and Venkitasubramaniam (ASIACRYPT’15). In this paper, we present a generic protocol for the secure computation of comparison-based functions. In order to scale to a large number of participants, we propose this protocol in a star topology with an aim to reduce the communication complexity. We also present a protocol for one specific comparison-based function, the kt h ranked element. The construction of one of our protocols leaks some intermediate values but does not reveal information about an individual party’s inputs. We demonstrate that our protocol offers better performance than the protocol for kt h ranked element by Tueno et. al. (FC’20) by providing an implementation.

Original languageEnglish
Title of host publicationSECRYPT 2022 - Proceedings of the 19th International Conference on Security and Cryptography
EditorsSabrina De Capitani di Vimercati, Pierangela Samarati
Pages69-82
Number of pages14
DOIs
StatePublished - 2022
Event19th International Conference on Security and Cryptography, SECRYPT 2022 - Lisbon, Portugal
Duration: 11 Jul 202213 Jul 2022

Publication series

NameProceedings of the International Conference on Security and Cryptography
Volume1

Conference

Conference19th International Conference on Security and Cryptography, SECRYPT 2022
Country/TerritoryPortugal
CityLisbon
Period11/07/2213/07/22

Keywords

  • K Ranked Element
  • Optimisation Problems
  • Scheduling Problems
  • Secure Multi-party Computation

All Science Journal Classification (ASJC) codes

  • Software
  • Information Systems
  • Computer Networks and Communications

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