LOVE a Pairing

Diego Aranha, Elena Pagnin, Francisco Hernàndez-Rodriguez

Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceedingpeer-review

Abstract

The problem of securely outsourcing the computation of a bilinear pairing has been widely investigated in the literature. Designing an efficient protocol with the desired functionality has, however, been an open challenge for a long time. Recently, Di Crescenzo et al. (CARDIS’20) proposed the first suite of protocols for securely and efficiently delegating pairings with online inputs under the presence of a malicious server. We progress along this path with the aim of LOVE (Lowering the cost of Outsourcing and Verifying Efficiently) a pairing. Our contributions are threefold. First, we propose a protocol (LOVE) that improves the efficiency of Di Crescenzo et al.’s proposal for securely delegating pairings with online, public inputs. Second, we provide the first implementation of efficient protocols in this setting. Finally, we evaluate the performance of our LOVE protocol in different application scenarios by benchmarking an implementation using BN, BLS12 and BLS24 pairing-friendly curves. Interestingly, compared to Di Crescenzo et al.’s protocol, LOVE is up to 29.7% faster for the client, up to 24.9% for the server and requires 23–24% less communication cost depending on the choice of parameters. Furthermore, we note that our LOVE protocol is especially suited for subgroup-secure groups: checking the correctness of the delegated pairing requires up to 56.2% less computations than evaluating the pairing locally (no delegation). This makes LOVE the most efficient protocol to date for securely outsourcing the computation of a pairing with online public inputs, even when the server is malicious.
Original languageEnglish
Title of host publicationProgress in Cryptology – LATINCRYPT 2021
Subtitle of host publication7th International Conference on Cryptology and Information Security in Latin America, Bogotá, Colombia, October 6–8, 2021, Proceedings
PublisherSpringer
Pages320-340
ISBN (Electronic)978-3-030-88238-9
ISBN (Print)978-3-030-88237-2
DOIs
Publication statusPublished - 2021
Event7th International Conference on Cryptology and Information Security in Latin America, LATINCRYPT 2021 - Virtual, Bogota, Colombia
Duration: 2021 Oct 62021 Oct 8

Publication series

NameLecture Notes in Computer Science
PublisherSpringer
Volume12912
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference7th International Conference on Cryptology and Information Security in Latin America, LATINCRYPT 2021
Country/TerritoryColombia
CityBogota
Period2021/10/062021/10/08

Subject classification (UKÄ)

  • Computer and Information Science

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