ATLAS: Efficient and Scalable MPC in the Honest Majority Setting
Vipul Goyal, Hanjun Li, Rafail Ostrovsky, Antigoni Polychroniadou, Yifan Song
Abstract:
In this work, we address communication, computation, and round efficiency of unconditionally secure multi-party computation for arithmetic circuits in the honest majority setting. We achieve both algorithmic and practical improvements:
The best known result in the semi-honest setting has been due to Damgård and Nielsen (CRYPTO 2007). Over the last decade, their construction has played an important role in the progress of efficient secure computation. However despite a number of follow-up works, any significant improvements to the basic semi-honest protocol have been hard to come by. We show \(33%\) improvement in communication complexity of this protocol. We show how to generalize this result to the malicious setting, leading to the best known unconditional honest majority MPC with malicious security.
We focus on the round complexity of the Damgård and Nielsen protocol and improve it by a factor of 2. Our improvement relies on a novel observation relating to an interplay between Damgård and Nielsen multiplication and Beaver triple multiplication. An implementation of our constructions shows an execution run time improvement compared to the state of the art ranging from \(30%\) to \(50%\).
comment:
CRYPTO (2) 2021: 244-274
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