Abstract
An important problem in the fault tolerant distributed systems is reaching a consensus among a set of non faulty processes, even in the presence of some corrupted processes. The problem is couched in terms of generals attempting to decide on a common plan of attack. This is in fact the well known Byzantine Generals Problem. We present a consensus protocol of O(ln) communication complexity in asynchronous networks (there is no common global clock and message delivery time is indefinite) with a small error probability where n is the number of players and l is the length of message, given l is sufficiently large, such that l ≥ n 3. This improves the previous result with O(ln 2) communication complexity[5]. Further more, we have proposed a reliable broadcast protocol in asynchronous networks with the assumption that messages delivery time is finite. Both of our protocols can tolerate up to \(t < \frac{n}{3}\) corrupted players and is computationally secure.
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Shareef, A., Rangan, C.P. (2007). On Optimal Probabilistic Asynchronous Byzantine Agreement. In: Rao, S., Chatterjee, M., Jayanti, P., Murthy, C.S.R., Saha, S.K. (eds) Distributed Computing and Networking. ICDCN 2008. Lecture Notes in Computer Science, vol 4904. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-77444-0_7
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DOI: https://doi.org/10.1007/978-3-540-77444-0_7
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