Secrecy Capacity of a Class of Broadcast Channels with an Eavesdropper

We study the security of communication between a single transmitter and multiple receivers in a broadcast channel in the presence of an eavesdropper. Characterizing the secrecy capacity region of this channel in its most general form is difficult, because the version of this problem without any secrecy constraints, is the broadcast channel with an arbitrary number of receivers, whose capacity region is open. Consequently, to have progress in understanding secure broadcasting, we resort to studying several special classes of channels, with increasing generality. As the first model, we consider the degraded multi-receiver wiretap channel where the legitimate receivers exhibit a degradedness order while the eavesdropper is more noisy with respect to all legitimate receivers. We establish the secrecy capacity region of this channel model. Secondly, we consider the parallel multi-receiver wiretap channel with a less noisiness order in each sub-channel, where this order is not necessarily t...

• Type: Journal
• Year: 2008
• Where: CORR
• Authors: Ersen Ekrem, Sennur Ulukus
• Keywords: CORR 2008, Education, Multi-receiver Wiretap Channels, Secrecy Capacity, Secrecy Capacity Region