Optimal communication in networks with randomly distributed byzantine faults

Abstract
We consider the problem of efficient information exchange in a communication network whose nodes and/or links are subject to Byzantine faults that are randomly and independently distributed through the network. The goal is almost safe communication, i.e., getting to every fault‐free node information about every other fault‐free node, with probability converging to one as the number of nodes grows. We present nonadaptive almost‐safe communication schemes working for various networks in asymptotically optimal time and using an asymptotically optimal number of message bits.

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