Self-Secure Capacity-Achieving Feedback Schemes of Gaussian Multiple-Access Wiretap Channels with Degraded Message Sets

It has been shown that the SK scheme, which was proposed by Schalkwijk and Kailath, is a self-secure capacity-achieving (SSCA) feedback scheme for Gaussian wiretap channel, i.e., not only achieves capacity of but also secure itself secrecy channel. For multi-user channels, very recently, it Ozarow’s two-user multiple-access channel (GMAC) SSCA (GMAC-WT). In this paper, first, we propose GMAC-WT with degraded message sets (GMAC-WT-DMS). Next, extend above to GMAC-WT-DMS noncausal state information at transmitters (NCSIT), show extended scheme. Finally, derive outer bounds on regions or without NCSIT, numerical results rate gains feedback.