@inproceedings{363fc595259a4748b3fb788bfddb897c,

title = "Byzantine broadcast in point-to-point networks using local linear coding",

abstract = "The goal of Byzantine Broadcast (BB) is to allow a set of fault-free nodes to agree on information that a source node wants to broadcast to them, in the presence of Byzantine faulty nodes. We consider design of efficient algorithms for BB in synchronous point-to-point networks, where the rate of transmission over each communication link is limited by its {"}link capacity{"}. The throughput of a particular BB algorithm is defined as the average number of bits that can be reliably broadcast to all fault-free nodes per unit time using the algorithm without violating the link capacity constraints. The capacity of BB in a given network is then defined as the supremum of all achievable BB throughputs in the given network, over all possible BB algorithms. We develop NAB - a Network-Aware BB algorithm - for tolerating f faults in arbitrary point-to-point networks consisting of f ≥ 3f+1 nodes and having ≥ 2f+1 directed node disjoint paths from each node i to each node j. We also prove an upper bound on the capacity of BB, and conclude that NAB can achieve throughput at least 1/3 of the capacity. When the network satisfies an additional condition, NAB can achieve throughput at least 1/2 of the capacity. To the best of our knowledge, NAB is the first algorithm that can achieve a constant fraction of capacity of Byzantine Broadcast (BB) in general point-to-point networks.",

keywords = "broadcast, byzantine faults, capacity, directed graph",

author = "Guanfeng Liang and Vaidya, {Nitin H.}",

year = "2012",

month = aug,

day = "20",

doi = "10.1145/2332432.2332492",

language = "English (US)",

isbn = "9781450314503",

series = "Proceedings of the Annual ACM Symposium on Principles of Distributed Computing",

pages = "319--328",

booktitle = "PODC'12 - Proceedings of the 2012 ACM Symposium on Principles of Distributed Computing",

note = "2012 ACM Symposium on Principles of Distributed Computing, PODC'12 ; Conference date: 16-07-2012 Through 18-07-2012",

}