New Results on Secret Key Establishment over a Pair of Broadcast Channels

Details New Results on Secret Key Establishment over a Pair of Broadcast Channels New Results on Secret Key Establishment over a Pair of Broadcast Channels

2010-04-25

arxiv.org/abs/1004.4334v1

Computer Science

Information Theory

18 pages, 4 figures, submitted to the 2010 International Symposium on Information Theory and its Applications (ISITA2010).

Scientific paper

The problem of Secret Key Establishment (SKE) over a pair of independent Discrete Memoryless Broadcast Channels (DMBCs) has already been studied in \cite{Ah10}, where we provided lower and upper bounds on the secret-key capacity. In this paper, we study the above setup under each of the following two cases: (1) the DMBCs have secrecy potential, and (2) the DMBCs are stochastically degraded with independent channels. In the former case, we propose a simple SKE protocol based on a novel technique, called Interactive Channel Coding (ICC), and prove that it achieves the lower bound. In the latter case, we give a simplified expression for the lower bound and prove a single-letter capacity formula under the condition that one of the legitimate parties sends only i.i.d. variables.

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