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Practical, scalable algorithms for Byzantine agreement


Please use this identifier to cite or link to this item: http://hdl.handle.net/1928/17495

Practical, scalable algorithms for Byzantine agreement

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Title: Practical, scalable algorithms for Byzantine agreement
Author: Oluwasanmi, Olumuyiwa
Advisor(s): Saia, Jared
Committee Member(s): Bridges, Patrick
Moore, Cristopher
Valerie, King
Department: University of New Mexico. Dept. of Computer Science
Subject: Byzantine Agreement
Randomized Algorithm
Monte Carlo
Random Beacon
Distributed Algorithm
LC Subject(s): Computer networks--Scalability.
Fault-tolerant computing.
Computer algorithms.
Degree Level: Doctoral
Abstract: With the growth of the Internet, there has been a push toward designing reliable algorithms that scale effectively in terms of latency, bandwidth and other computational resources. Scalability has been a serious problem especially with peer-to-peer (p2p) networks which may have sizes of more than a million nodes. An important problem in designing reliable algorithms is Byzantine agreement. For reasons of scalability, message complexity is a critical resource for this problem. Unfortunately, previous solutions to Byzantine agreement require each processor to send $O(n)$ messages, where $n$ is the total number of processors in the network. In this dissertation, we show that the Byzantine agreement problem can be solved with significantly less that a linear number of messages both in theory and in practice. We implement and test algorithms that solve the classical problem with each processor sending only $\tilde{O}(\sqrt{n})$ messages. Further, we consider the problem in the case where we assume the existence of a random beacon: a global source of random bits. We show that with this assumption, the required number of messages drops to $O(\log n)$, with small hidden constants. Our algorithms are Monte Carlo and succeed with high probability, that is probability $1-o(n^k)$ for some positive constant $k$. Our empirical results suggest that our algorithms may outperform classical solutions to Byzantine agreement for network of size larger than 30,000 nodes.
Graduation Date: December 2011
URI: http://hdl.handle.net/1928/17495

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