Byzantine Broadcast Under a Selective Broadcast Model for Single-hop Wireless Networks [article]

Lewis Tseng, Nitin Vaidya
2015 arXiv   pre-print
This paper explores an old problem, Byzantine fault-tolerant Broadcast (BB), under a new model, selective broadcast model. The new model "interpolates" between the two traditional models in the literature. In particular, it allows fault-free nodes to exploit the benefits of a broadcast channel (a feature from reliable broadcast model) and allows faulty nodes to send mismatching messages to different neighbors (a feature from point-to-point model) simultaneously. The selective broadcast model is
more » ... motivated by the potential for directional transmissions on a wireless channel. We provide a collection of results for a single-hop wireless network under the new model. First, we present an algorithm for Multi-Valued BB that is order-optimal in bit complexity. Then, we provide an algorithm that is designed to achieve BB efficiently in terms of message complexity. Third, we determine some lower bounds on both bit and message complexities of BB problems in the selective broadcast model. Finally, we present a conjecture on an "exact" lower bound on the bit complexity of BB under the selective broadcast model.
arXiv:1502.00075v1 fatcat:r2vzsbyjt5gsrmq3svxha7eyqu