Large Scale, Actively Secure Computation from LPN and Free-XOR Garbled Circuits

Aner Ben-Efraim; Kelong Cong; Eran Omri; Emmanuela Orsini; Nigel P. Smart; Eduardo Soria-Vazquez

doi:10.1007/978-3-030-77883-5_2

Large Scale, Actively Secure Computation from LPN and Free-XOR Garbled Circuits

Aner Ben-Efraim, Kelong Cong, Eran Omri, Emmanuela Orsini, Nigel P. Smart, Eduardo Soria-Vazquez

Department of Computer Science

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

6 Scopus citations

Abstract

We (MPC) protocol based on garbled circuits which is both actively secure and supports the free-XOR technique, and which has communication complexity O(n) per party. This improves on a protocol of Ben-Efraim, Lindell and Omri which only achieved passive security, without support for free-XOR. Our construction is based on a new variant of LPN-based encryption, but has the drawback of requiring a rather expensive garbling phase. To address this issue we present a second protocol that assumes at least n/c of the parties are honest (for an arbitrary fixed value c). This second protocol allows for a significantly lighter preprocessing, at the cost of a small sacrifice in online efficiency. We demonstrate the practicality of our evaluation phase with an implementation.

Original language	English
Title of host publication	Advances in Cryptology – EUROCRYPT 2021 - 40th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Proceedings
Editors	Anne Canteaut, François-Xavier Standaert
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	33-63
Number of pages	31
ISBN (Print)	9783030778828
DOIs	https://doi.org/10.1007/978-3-030-77883-5_2
State	Published - 2021
Event	40th Annual International Conference on the Theory and Applications of Cryptographic Techniques, EUROCRYPT 2021 - Zagreb, Croatia Duration: 17 Oct 2021 → 21 Oct 2021

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	12698 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	40th Annual International Conference on the Theory and Applications of Cryptographic Techniques, EUROCRYPT 2021
Country/Territory	Croatia
City	Zagreb
Period	17/10/21 → 21/10/21

Access to Document

10.1007/978-3-030-77883-5_2

Cite this

Ben-Efraim, A., Cong, K., Omri, E., Orsini, E., Smart, N. P., & Soria-Vazquez, E. (2021). Large Scale, Actively Secure Computation from LPN and Free-XOR Garbled Circuits. In A. Canteaut, & F.-X. Standaert (Eds.), Advances in Cryptology – EUROCRYPT 2021 - 40th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Proceedings (pp. 33-63). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 12698 LNCS). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-030-77883-5_2

Ben-Efraim, Aner ; Cong, Kelong ; Omri, Eran et al. / Large Scale, Actively Secure Computation from LPN and Free-XOR Garbled Circuits. Advances in Cryptology – EUROCRYPT 2021 - 40th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Proceedings. editor / Anne Canteaut ; François-Xavier Standaert. Springer Science and Business Media Deutschland GmbH, 2021. pp. 33-63 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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Ben-Efraim, A, Cong, K, Omri, E, Orsini, E, Smart, NP & Soria-Vazquez, E 2021, Large Scale, Actively Secure Computation from LPN and Free-XOR Garbled Circuits. in A Canteaut & F-X Standaert (eds), Advances in Cryptology – EUROCRYPT 2021 - 40th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 12698 LNCS, Springer Science and Business Media Deutschland GmbH, pp. 33-63, 40th Annual International Conference on the Theory and Applications of Cryptographic Techniques, EUROCRYPT 2021, Zagreb, Croatia, 17/10/21. https://doi.org/10.1007/978-3-030-77883-5_2

Large Scale, Actively Secure Computation from LPN and Free-XOR Garbled Circuits. / Ben-Efraim, Aner; Cong, Kelong; Omri, Eran et al.
Advances in Cryptology – EUROCRYPT 2021 - 40th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Proceedings. ed. / Anne Canteaut; François-Xavier Standaert. Springer Science and Business Media Deutschland GmbH, 2021. p. 33-63 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 12698 LNCS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Ben-Efraim A, Cong K, Omri E, Orsini E, Smart NP, Soria-Vazquez E. Large Scale, Actively Secure Computation from LPN and Free-XOR Garbled Circuits. In Canteaut A, Standaert FX, editors, Advances in Cryptology – EUROCRYPT 2021 - 40th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Proceedings. Springer Science and Business Media Deutschland GmbH. 2021. p. 33-63. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-030-77883-5_2

Large Scale, Actively Secure Computation from LPN and Free-XOR Garbled Circuits

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