Paper 2016/156 Original: eprint.iacr.org/2016/156 ↗

More Efficient Constant-Round Multi-Party Computation from BMR and SHE

Yehuda Lindell
Nigel P. Smart
Eduardo Soria-Vazquez
Abstract

We present a multi-party computation protocol in the case of dishonest majority which has very low round complexity. Our protocol sits philosophically between Gentry's Fully Homomorphic Encryption based protocol and the SPDZ-BMR protocol of Lindell et al (CRYPTO 2015). Our protocol avoids various inefficiencies of the previous two protocols. Compared to Gentry's protocol we only require Somewhat Homomorphic Encryption (SHE). Whilst in comparison to the SPDZ-BMR protocol we require only a quadratic complexity in the number of players (as opposed to cubic), we have fewer rounds, and we require less proofs of correctness of ciphertexts. Additionally, we present a variant of our protocol which trades the depth of the garbling circuit (computed using SHE) for some more multiplications in the offline and online phases.

Metadata
Available format(s)
PDF
Category
Cryptographic protocols
Publication info
Preprint.
History
2017-02-24: last updated
2016-02-18: published
Short URL
https://ia.cr/2016/156
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2016/156,
      author = {Yehuda Lindell and Nigel P.  Smart and Eduardo Soria-Vazquez},
      title = {More Efficient Constant-Round Multi-Party Computation from BMR and SHE},
      howpublished = {Cryptology {ePrint} Archive, Paper 2016/156},
      year = {2016},
      url = {https://eprint.iacr.org/2016/156}
}
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