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Mathematical Problems in Engineering
Volume 2013, Article ID 406826, 8 pages
Research Article

A Class of Three-Receiver Broadcast Channels with Degraded Message Sets and Side Information

Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai 200240, China

Received 30 August 2013; Revised 17 October 2013; Accepted 4 November 2013

Academic Editor: Hector Puebla

Copyright © 2013 Fangbiao Li and Zhi Xue. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We study a class of three-receiver discrete memoryless broadcast channel (DM-BC) with three degraded message sets and side information. We derive achievable rate region for this three-receive DM-BC with side information noncausally available at the transmitter. When the receivers follow a degradedness order, we determine the perfect secrecy capacity region of this class of three-receiver DM-BC with three degraded message sets and side information noncausally available at both the transmitter and the receiver. The achievable secrecy region of this paper subsumes Steinberg’s rate region for two-receiver degraded BC with the side information and the secrecy capacity region for one-receiver two-eavesdropper DM-BC with no side information as its special cases.