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Some New Results on the Wiretap Channel with Side Information
Computer Science and Engineering Department, Shanghai Jiao Tong University, Dongchuan road 800, Shanghai 200240, China
Institute for Experimental Mathematics, Duisburg-Essen University, Ellernstrae 29, Essen 45326, Germany
* Author to whom correspondence should be addressed.
Received: 17 July 2012; in revised form: 20 August 2012 / Accepted: 30 August 2012 / Published: 7 September 2012
Abstract: In this paper, the model of wiretap channel has been reconsidered for the case that the main channel is controlled by channel state information (side information), and it is available at the transmitter in a noncausal manner (termed here noncausal side information) or causal manner (termed here causal side information). Inner and outer bounds are derived on the capacity-equivocation regions for the noncausal and causal manners, and the secrecy capacities for both manners are described and bounded, which provide the best transmission rate with perfect secrecy. Moreover, for the case that the side information is available at the transmitter in a memoryless manner (termed here memoryless side information), both the capacity-equivocation region and the secrecy capacity are determined. The results of this paper extend the previous work on wiretap channel with noncausal side information by providing an outer bound on the capacity-equivocation region. In addition, we find that the memoryless side information can not help to obtain the same secrecy capacity as that of the causal case, and this is different from the well known fact that the memoryless manner can achieve the capacity of the channel with causal side information.
Keywords: capacity-equivocation region; secrecy capacity; side information; wiretap channel
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MDPI and ACS Style
Dai, B.; Luo, Y. Some New Results on the Wiretap Channel with Side Information. Entropy 2012, 14, 1671-1702.
Dai B, Luo Y. Some New Results on the Wiretap Channel with Side Information. Entropy. 2012; 14(9):1671-1702.
Dai, Bin; Luo, Yuan. 2012. "Some New Results on the Wiretap Channel with Side Information." Entropy 14, no. 9: 1671-1702.