On optimal probabilistic asynchronous Byzantine agreement

  • Authors:
  • Amjed Shareef;C. Pandu Rangan

  • Affiliations:
  • Department of Computer Science and Engineering, Indian Institute of Technology Madras, Chennai, India;Department of Computer Science and Engineering, Indian Institute of Technology Madras, Chennai, India

  • Venue:
  • ICDCN'08 Proceedings of the 9th international conference on Distributed computing and networking
  • Year:
  • 2008

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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 ≥ n3. This improves the previous result with O(ln2) 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 n/3 corrupted players and is computationally secure.