NDLI: Strong Secrecy and Reliable Byzantine Detection in the Presence of an Untrusted Relay

Content Provider	IEEE Xplore Digital Library
Author	Xiang He Yener, A.
Copyright Year	1963
Abstract	We consider a Gaussian two-hop network where the source and the destination can communicate only via a relay node who is both an eavesdropper and a Byzantine adversary. Both the source and the destination nodes are allowed to transmit, and the relay receives a superposition of their transmitted signals. We propose a new coding scheme that satisfies two requirements simultaneously: the transmitted message must be kept secret from the relay node, and the destination must be able to detect any Byzantine attack that the relay node might launch reliably and fast. The three main components of the proposed scheme are the nested lattice code, the privacy amplification scheme, and the algebraic manipulation detection (AMD) code. Specifically, for the Gaussian two-hop network, we show that lattice coding can successfully pair with AMD codes enabling its first application to a noisy channel model. We prove, using this new coding scheme, that the probability that the Byzantine attack goes undetected decreases exponentially fast with respect to the number of channel uses, while the loss in the secrecy rate, compared to the rate achievable when the relay is honest, can be made arbitrarily small. In addition, in contrast with prior work in Gaussian channels, the notion of secrecy provided here is strong secrecy.
Sponsorship	IEEE Information Theory Society
Starting Page	177
Ending Page	192
Page Count	16
File Size	3934086
File Format	PDF
ISSN	00189448
Volume Number	59
Issue Number	1
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2013-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Relays Lattices Reliability Encoding Physical layer Noise measurement Zirconium strong secrecy Algebraic manipulation detection (AMD) code Byzantine detection information-theoretic secrecy lattice code relay channel
Content Type	Text
Resource Type	Article
Subject	Library and Information Sciences Information Systems Computer Science Applications

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