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Entropy 2014, 16(8), 4693-4712; doi:10.3390/e16084693

Some New Results on the Multiple-AccessWiretap Channel

School of Information Science and Technology, Southwest JiaoTong University, Northbound Section Second Ring Road 111, Chengdu 610031, China
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Received: 4 May 2014 / Revised: 18 July 2014 / Accepted: 15 August 2014 / Published: 21 August 2014
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Abstract

In this paper, some new results on the multiple-access wiretap channel (MAC-WT) are provided. Specifically, first, we investigate the degraded MAC-WT, where two users transmit their corresponding confidential messages (no common message) to a legitimate receiver via a multiple-access channel (MAC), while a wiretapper wishes to obtain the messages via a physically degraded wiretap channel. The secrecy capacity region of this model is determined for both the discrete memoryless and Gaussian cases. For the Gaussian case, we find that this secrecy capacity region is exactly the same as the achievable secrecy rate region provided by Tekin and Yener, i.e., Tekin–Yener’s achievable region is exactly the secrecy capacity region of the degraded Gaussian MAC-WT. Second, we study a special Gaussian MAC-WT, and find the power control for two kinds of optimal points (max-min point and single user point) on the secrecy rate region of this special Gaussian model. View Full-Text
Keywords: multiple-access wiretap channel (MAC-WT); Gaussian multiple-access wiretap channel (GMAC-WT); secrecy capacity region; power control multiple-access wiretap channel (MAC-WT); Gaussian multiple-access wiretap channel (GMAC-WT); secrecy capacity region; power control
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Dai, B.; Ma, Z. Some New Results on the Multiple-AccessWiretap Channel. Entropy 2014, 16, 4693-4712.

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