Abstract
Given two discrete memoryless channels (DMC's) with a common input, it is desired to transmit private messages to receiver1rateR_{1}and common messages to both receivers at rateR_{o}, while keeping receiver2as ignorant of the private messages as possible. Measuring ignorance by equivocation, a single-letter characterization is given of the achievable triples(R_{1},R_{e},R_{o})whereR_{e}is the equivocation rate. Based on this channel coding result, the related source-channel matching problem is also settled. These results generalize those of Wyner on the wiretap channel and of Körner-Marton on the broadcast Channel.
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