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An O(log n) expected rounds randomized byzantine generals protocol

Author:

Gabriel BrachaAuthors Info & Claims

Journal of the ACM (JACM), Volume 34, Issue 4

Pages 910 - 920

https://doi.org/10.1145/31846.42229

Published: 01 October 1987 Publication History

Abstract

Byzantine Generals protocols enable processes to broadcast messages reliably in the presence of faulty processes. These protocols are run in a system that consists of n processes, t of which are faulty. The protocols are conducted in synchronous rounds of message exchange. It is shown that, in the absence of eavesdropping, without using cryptography, for any ε > 0 and t = n/(3 + ε), there is a randomized protocol with O(log n) expected number of rounds. If cryptographic methods are allowed, then, for ε > 0 and t = n/(2 + ε), there is a randomized protocol with O(log n) expected number of rounds. This is an improvement on the lower bound of t + 1 rounds required for deterministic protocols, and on a previous result of t/log n expected number of rounds for randomized noncryptographic protocols.

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An O(log n) expected rounds randomized byzantine generals protocol

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cover image Journal of the ACM

Journal of the ACM Volume 34, Issue 4

Oct. 1987

254 pages

ISSN:0004-5411

EISSN:1557-735X

DOI:10.1145/31846

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Copyright © 1987 ACM.

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 01 October 1987

Published in JACM Volume 34, Issue 4

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