Title
Byzantine Agreement Given Partial Broadcast
Abstract
This paper considers unconditionally secure protocols for reliable broadcast among a set of n players, where up to t of the players can be corrupted by a (Byzantine) adversary but the remaining h = n - t players remain honest. In the standard model with a complete, synchronous network of bilateral authenticated communication channels among the players, broadcast is achievable if and only if 2n/h < 3. We show that, by extending this model by the existence of partial broadcast channels among subsets of b players, global broadcast can be achieved if and only if the number h of honest players satisfies 2n/h < b + 1. Achievability is demonstrated by protocols with communication and computation complexities polynomial in the size of the network, i.e., in the number of partial broadcast channels. A respective characterization for the related consensus problem is also given.
Year
DOI
Venue
2005
10.1007/s00145-005-0308-x
J. Cryptology
Keywords
Field
DocType
Broadcast,Byzantine agreement
Consensus,Discrete mathematics,Broadcasting,Authentication,Polynomial,Computer science,Communication channel,Communication complexity,If and only if,Computation
Journal
Volume
Issue
ISSN
18
3
0933-2790
Citations 
PageRank 
References 
19
1.08
27
Authors
6
Name
Order
Citations
PageRank
jeffrey considine131419.62
Matthias Fitzi251228.44
Matthew K. Franklin3959119.11
Leonid A. Levin42031349.38
Ueli Maurer54526505.09
David Metcalf6191.08