Secrecy and Reliable Byzantine Detection in a Gaussian Untrusted Two-Hop Link

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Executive Summary

In this paper, the authors proved that for the Gaussian two-hop model where the relay is both an eavesdropper and a Byzantine attacker, the probability that a Byzantine attack goes undetected can decrease exponentially fast with respect to the total number of channel uses. In this process, they showed how to provide strong secrecy via a novel combination of Nested Lattice Codes and privacy amplification. Furthermore, they showed that the secrecy rate loss caused by the redundancy introduced for Byzantine detection can be made arbitrarily small.

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