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In this paper we extend the \emph{Multidimensional Byzantine Agreement (MBA)Protocol}, a {leaderless} Byzantine agreement for lists of arbitrary values,into a protocol suitable for wide gossiping networks: \emph{Cob}. Thisgeneralization allows the consensus process to be run by an incomplete networkof nodes provided with (non-synchronized) same-speed clocks. Not all nodes areactive in every step, so the network size does not hamper the efficiency, aslong as the gossiping broadcast delivers the messages to every node inreasonable time. These network assumptions model more closely real-lifecommunication channels, so the Cob protocol may be applicable to a variety ofpractical problems, such as blockchain platforms implementing sharding. Cob hasthe same Bernoulli-like distribution that upper-bounds the number of steps asthe MBA protocol. We prove its correctness and security assuming asupermajority of honest nodes in the network, and compare its performance withAlgorand.

Cob: a Leaderless Protocol for Parallel Byzantine Agreement in Incomplete Networks