Secrecy Capacity of a Class of Broadcast Channels with an Eavesdropper
| dc.creator | Ekrem, Ersen | |
| dc.creator | Ulukus, Sennur | |
| dc.date | 2008-12-01 | |
| dc.date.accessioned | 2026-07-07T12:08:18Z | |
| dc.date.available | 2026-07-07T12:08:18Z | |
| dc.description | We study the security of communication between a single transmitter and multiple receivers in a broadcast channel in the presence of an eavesdropper. We consider several special classes of channels. 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 the same for all sub-channels. We establish the common message secrecy capacity and sum secrecy capacity of this channel. Thirdly, we study a special class of degraded parallel multi-receiver wiretap channels and provide a stronger result. In particular, we study the case with two sub-channels two users and one eavesdropper, where there is a degradedness order in each sub-channel such that in the first (resp. second) sub-channel the second (resp. first) receiver is degraded with respect to the first (resp. second) receiver, while the eavesdropper is degraded with respect to both legitimate receivers in both sub-channels. We determine the secrecy capacity region of this channel. Finally, we focus on a variant of this previous channel model where the transmitter can use only one of the sub-channels at any time. We characterize the secrecy capacity region of this channel as well. | |
| dc.description | Submitted to EURASIP Journal on Wireless Communications and Networking (Special Issue on Wireless Physical Layer Security) | |
| dc.identifier | https://arxiv.org/abs/0812.0319 | |
| dc.identifier | http://arxiv.org/abs/0812.0319 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/209273 | |
| dc.subject | Information Theory | |
| dc.title | Secrecy Capacity of a Class of Broadcast Channels with an Eavesdropper | |
| dc.type | text |