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arXiv · 1601.07513

Secret-Key Generation Using Compound Sources and One-Way Public Communication

Nima Tavangaran·Holger Boche·Rafael F. Schaefer
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Abstract

In the classical Secret-Key generation model, Common Randomness is generated by two terminals based on the observation of correlated components of a common source, while keeping it secret from a non-legitimate observer. It is assumed that the statistics of the source are known to all participants. In this work, the Secret-Key generation based on a compound source is studied where the realization of the source statistic is unknown. The protocol should guarantee the security and reliability of the generated Secret-Key, simultaneously for all possible realizations of the compound source. A single-letter lower-bound of the Secret-Key capacity for a finite compound source is derived as a function of the public communication rate constraint. A multi-letter capacity formula is further computed for a finite compound source for the case in which the public communication is unconstrained. Finally a single-letter capacity formula is derived for a degraded compound source with an arbitrary set of source states and a finite set of marginal states.

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Nima Tavangaran, Holger Boche, Rafael F. Schaefer. 2016-01-27. Secret-Key Generation Using Compound Sources and One-Way Public Communication. https://arxiv.org/abs/1601.07513

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