Paper 2020/906 Original: eprint.iacr.org/2020/906 ↗

Optimally-resilient Unconditionally-secure Asynchronous Multi-party Computation Revisited

Abstract

In this paper, we present an optimally-resilient, unconditionally-secure asynchronous multi-party computation (AMPC) protocol for $n$ parties, tolerating a computationally unbounded adversary, capable of corrupting up to $t < \frac{n}{3}$ parties. Our protocol needs a communication of ${\cal O}(n^4)$ field elements per multiplication gate. This is to be compared with previous best AMPC protocol (Patra et al, ICITS 2009) in the same setting, which needs a communication of ${\cal O}(n^5)$ field elements per multiplication gate. To design our protocol, we present a simple and highly efficient asynchronous verifiable secret-sharing (AVSS) protocol, which is of independent interest.