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Common randomness and secret key generation with a helper

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2 Author(s)
Csiszar, I. ; Math. Inst., Hungarian Acad. of Sci., Budapest, Hungary ; Narayan, P.

We consider the generation of common randomness (CR), secret or not secret, by two user terminals with aid from a “helper” terminal. Each terminal observes a different component of a discrete memoryless multiple source. The helper aids the users by transmitting information to them over a noiseless public channel subject to a rate constraint. Furthermore, one of the users is allowed to transmit to the other user over a public channel under a similar rate constraint. We study the maximum rate of CR which can be thus generated, including under additional secrecy conditions when it must be concealed from a wiretapper. Lower bounds for the corresponding capacities are provided, and single-letter capacity formulas are obtained for several special cases of interest

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Information Theory, IEEE Transactions on  (Volume:46 ,  Issue: 2 )