Secret Key Agreement from Vector Gaussian Sources by Rate Limited Public Communication

Computer Science – Information Theory

Scientific paper

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10 pages, 4 figures, A part of this paper was presented at 2010 IEEE International Symposium on Information Theory in Austin U

Scientific paper

10.1109/TIFS.2011.2132130

We investigate the secret key agreement from correlated vector Gaussian sources in which the legitimate parties can use the public communication with limited rate. For the class of protocols with the one-way public communication, we show that the optimal trade-off between the rate of key generation and the rate of the public communication is characterized as an optimization problem of a Gaussian random variable. The characterization is derived by using the enhancement technique introduced by Weingarten et.al. for MIMO Gaussian broadcast channel.

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