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Given a system with $n > 3t + 1$ processes, where $t$ is the tolerated numberof faulty ones, we present a fast asynchronous Byzantine agreement protocolthat can reach agreement in $O(t)$ expected running time. This improves the$O(n^2)$ expected running time of Abraham, Dolev, and Halpern [PODC 2008].Furthermore, if $n = (3 + \varepsilon) t$ for any $\varepsilon > 0$, ourprotocol can reach agreement in $O (1 / \varepsilon)$ expected running time.This improves the result of Feldman and Micali [STOC 1988] (with constantexpected running time when $n > 4 t$).

Asynchronous Byzantine Agreement with Optimal Resilience and Linear Complexity