Half-Tree: Halving the Cost of Tree Expansion in COT and DPF

Xiaojie Guo, Kang Yang*, Xiao Wang, Wenhao Zhang, Xiang Xie, Jiang Zhang, Zheli Liu

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Scopus citations

Abstract

GGM tree is widely used in the design of correlated oblivious transfer (COT), subfield vector oblivious linear evaluation (sVOLE), distributed point function (DPF), and distributed comparison function (DCF). Often, the cost associated with GGM tree dominates the computation and communication of these protocols. In this paper, we propose a suite of optimizations that can reduce this cost by half. Halving the cost of COT and sVOLE. Our COT protocol introduces extra correlation to each level of a GGM tree used by the state-of-the-art COT protocol. As a result, it reduces both the number of AES calls and the communication by half. Extending this idea to sVOLE, we are able to achieve similar improvement with either halved computation or halved communication.Halving the cost of DPF and DCF. We propose improved two-party protocols for the distributed generation of DPF/DCF keys. Our tree structures behind these protocols lead to more efficient full-domain evaluation and halve the communication and the round complexity of the state-of-the-art DPF/DCF protocols. All protocols are provably secure in the random-permutation model and can be accelerated based on fixed-key AES-NI. We also improve the state-of-the-art schemes of puncturable pseudorandom function (PPRF), DPF, and DCF, which are of independent interest in dealer-available scenarios.

Original languageEnglish (US)
Title of host publicationAdvances in Cryptology – EUROCRYPT 2023 - 42nd Annual International Conference on the Theory and Applications of Cryptographic Techniques, Proceedings
EditorsCarmit Hazay, Martijn Stam
PublisherSpringer Science and Business Media Deutschland GmbH
Pages330-362
Number of pages33
ISBN (Print)9783031305443
DOIs
StatePublished - 2023
Event42nd Annual International Conference on the Theory and Applications of Cryptographic Techniques, Eurocrypt 2023 - Lyon, France
Duration: Apr 23 2023Apr 27 2023

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume14004 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference42nd Annual International Conference on the Theory and Applications of Cryptographic Techniques, Eurocrypt 2023
Country/TerritoryFrance
CityLyon
Period4/23/234/27/23

ASJC Scopus subject areas

  • Theoretical Computer Science
  • General Computer Science

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