Abstract

The discussion rate region in the multiterminal source model is the individual discussion rate required for generating a secret key of maximum rate. We give an explicit single-letter characterization of the discussion rate region for a large class of pairwise independent network (PIN) models. Besides, we also establish a sufficient condition for identifying whether a PIN model belongs to this class, which can be checked in strongly polynomial time. As a by-product, the discussion rate region reduces to a very simple expression for PIN model satisfying such condition.

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