Paper 2019/1298

An Efficient Passive-to-Active Compiler for Honest-Majority MPC over Rings

Mark Abspoel, Anders Dalskov, Daniel Escudero, and Ariel Nof

Abstract

Multiparty computation (MPC) over rings such as $\mathbb{Z}_{2^{32}}$ or $\mathbb{Z}_{2^{64}}$ has received a great deal of attention recently due to its ease of implementation and attractive performance. Several actively secure protocols over these rings have been implemented, for both the dishonest majority setting and the setting of three parties with one corruption. However, in the honest majority setting, no \emph{concretely} efficient protocol for arithmetic computation over rings has yet been proposed that allows for an \emph{arbitrary} number of parties. We present a novel compiler for MPC over the ring $\mathbb{Z}_{2^{k}}$ in the honest majority setting that turns a semi-honest protocol into an actively secure protocol with very little overhead. The communication cost per multiplication is only twice that of the semi-honest protocol, making the resultant actively secure protocol almost as fast. To demonstrate the efficiency of our compiler, we implement both an optimized 3-party variant (based on replicated secret-sharing), as well as a protocol for $n$ parties (based on a recent protocol from TCC 2019). For the 3-party variant, we obtain a protocol which outperforms the previous state of the art that we can experimentally compare against. Our $n$-party variant is the first implementation for this particular setting, and we show that it performs comparably to the current state of the art over fields.