Another Proof for the Secrecy Capacity of the K-Receiver Broadcast Channel With Confidential Messages

作者：Choo Li Chia^*; Wong Kai Kit

来源：IEEE Transactions on Information Theory, 2013, 59(4): 2142-2152.

DOI：10.1109/TIT.2012.2236913

• Broadcast channels
• confidential messages
• information-theoretic security
• secrecy capacity region
• wiretap channels

The secrecy capacity region for the K-receiver degraded broadcast channel (BC) is given for confidential messages sent to the receivers and to be kept secret from an external wiretapper. Superposition coding and Wyner's random code partitioning are used to show the achievable rate tuples. Error probability analysis and equivocation calculation are also provided. In the converse proof, a new definition for the auxiliary random variables is used, which is different from either the case of the two-receiver BC without common message or the K-receiver BC with common message, both with an external wiretapper, or the K-receiver BC without a wiretapper.

• 出版日期2013-4