Given two discrete memoryless channels (DMC\´s) with a common input, it is desired to transmit private messages to receiver

rate

and common messages to both receivers at rate

, while keeping receiver

as ignorant of the private messages as possible. Measuring ignorance by equivocation, a single-letter characterization is given of the achievable triples

where

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.