Advances in Cryptology – EUROCRYPT 2005
Volume 3494 of the series Lecture Notes in Computer Science pp 322-340
Cryptographic Asynchronous Multi-party Computation with Optimal Resilience
- Martin HirtAffiliated withDepartment of Computer Science, ETH Zurich
- , Jesper Buus NielsenAffiliated withDepartment of Computer Science, University of Aarhus
- , Bartosz PrzydatekAffiliated withDepartment of Computer Science, ETH Zurich
Abstract
We consider secure multi-party computation in the asynchronous model and present an efficient protocol with optimal resilience. For n parties, up to t < n/3 of them being corrupted, and security parameter κ, a circuit with c gates can be securely computed with communication complexity \({\mathcal O}(cn^{3}k)\) bits. In contrast to all previous asynchronous protocols with optimal resilience, our protocol requires access to an expensive broadcast primitive only \({\mathcal O}(n)\) times — independently of the size c of the circuit. This results in a practical protocol with a very low communication overhead.
One major drawback of a purely asynchronous network is that the inputs of up to t honest parties cannot be considered for the evaluation of the circuit. Waiting for all inputs could take infinitely long when the missing inputs belong to corrupted parties. Our protocol can easily be extended to a hybrid model, in which we have one round of synchronicity at the end of the input stage, but are fully asynchronous afterwards. In this model, our protocol allows to evaluate the circuit on the inputs of every honest party.
- Title
- Cryptographic Asynchronous Multi-party Computation with Optimal Resilience
- Book Title
- Advances in Cryptology – EUROCRYPT 2005
- Book Subtitle
- 24th Annual International Conference on the Theory and Applications of Cryptographic Techniques, Aarhus, Denmark, May 22-26, 2005. Proceedings
- Pages
- pp 322-340
- Copyright
- 2005
- DOI
- 10.1007/11426639_19
- Print ISBN
- 978-3-540-25910-7
- Online ISBN
- 978-3-540-32055-5
- Series Title
- Lecture Notes in Computer Science
- Series Volume
- 3494
- Series ISSN
- 0302-9743
- Publisher
- Springer Berlin Heidelberg
- Copyright Holder
- Springer-Verlag Berlin Heidelberg
- Additional Links
- Topics
- Industry Sectors
- eBook Packages
- Editors
-
- Ronald Cramer (16)
- Editor Affiliations
-
- 16. CWI Amsterdam
- Authors
-
- Martin Hirt (17)
- Jesper Buus Nielsen (18)
- Bartosz Przydatek (17)
- Author Affiliations
-
- 17. Department of Computer Science, ETH Zurich, 8092, Zurich, Switzerland
- 18. Department of Computer Science, University of Aarhus, DK-8200, Aarhus, Denmark
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