A multi-hop multi-source Algebraic Watchdog
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Medard_A multi-hop.pdf
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Author(s)
Kim, MinJi
Medard, Muriel
Barros, Joao
Date Issued
September 2010
Journal
Proceedings of the IEEE Information Theory Workshop (ITW), 2010
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Citation
Kim, MinJi, Muriel Medard, and Joao Barros. “A Multi-hop Multi-source Algebraic Watchdog.” IEEE Information Theory Workshop (ITW), 2010. 1–5. © Copyright 2010 IEEE
Version
Final published version
Abstract
In our previous work (`An Algebraic Watchdog for Wireless Network Coding'), we proposed a new scheme in which nodes can detect malicious behaviors probabilistically, police their downstream neighbors locally using overheard messages; thus, provide a secure global self-checking network. As the first building block of such a system, we focused on a two-hop network, and presented a graphical model to understand the inference process by which nodes police their downstream neighbors and to compute the probabilities of misdetection and false detection. In this paper, we extend the Algebraic Watchdog to a more general network setting, and propose a protocol in which we can establish trust in coded systems in a distributed manner. We develop a graphical model to detect the presence of an adversarial node downstream within a general two-hop network. The structure of the graphical model (a trellis) lends itself to well-known algorithms, such as Viterbi algorithm, that can compute the probabilities of misdetection and false detection. Using this as a building block, we generalize our scheme to multi-hop networks. We show analytically that as long as the min-cut is not dominated by the Byzantine adversaries, upstream nodes can monitor downstream neighbors and allow reliable communication with certain probability. Finally, we present preliminary simulation results that support our analysis.
MIT Department
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Massachusetts Institute of Technology. Research Laboratory of Electronics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1109/CIG.2010.5592893
