Secrecy Capacity of a Class of Broadcast Channels with an Eavesdropper

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Executive Summary

The authors study the security of communication between a single transmitter and many receivers in the presence of an eavesdropper for several special classes of broadcast channels. As the first model, they consider the degraded multireceiver wiretap channel where the legitimate receivers exhibit a degradedness order while the eavesdropper is more noisy with respect to all legitimate receivers. They establish the secrecy capacity region of this channel model. Secondly, they consider the parallel multireceiver wiretap channel with a less noisiness order in each subchannel, where this order is not necessarily the same for all subchannels, and hence the overall channel does not exhibit a less noisiness order. They establish the common message secrecy capacity and sum secrecy capacity of this channel.

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