Brief announcement: Communication efficient Asynchronous Byzantine Agreement

In [7], the authors presented a novel perfect (i.e error-free) Asynchronous Verifiable Secret Sharing (AVSS) protocol and using the AVSS, they designed a perfect Asynchronous Multiparty Computation (AMPC) protocol that provides the best known communication complexity in the literature. In this paper, we show another important application of the AVSS in [7] by applying it to design an efficient Asynchronous Byzantine Agreement (ABA) protocol with n = 4t+1, where n denotes the number of parties involved in the execution ABA and t denotes the maximum number of parties that can be corrupted by an active unbounded powerful adversary. Our ABA protocol attains a communication complexity that is significantly better than that of the only known existing ABA of [4] with n = 4t + 1, while keeping all other properties in place.