Two-Round Multiparty Secure Computation Minimizing Public Key Operations

We show new constructions of semi-honest and malicious two-round multiparty secure computation protocols using only (a fixed) $\mathsf{poly}(n,\lambda)$ invocations of a two-round oblivious transfer protocol (which use expensive public-key operations) and $\mathsf{poly}(\lambda, |C|)$ cheaper one-way function calls, where $\lambda$ is the security parameter, $n$ is the number of parties, and $C$ is the circuit being computed. All previously known two-round multiparty secure computation protocols required $\mathsf{poly}(\lambda,|C|)$ expensive public-key operations