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Recently, the physical layer security (PLS) of the communication systems hasbeen shown to be enhanced by using legal receiver's feedback. The presentsecret key based feedback scheme mainly focuses on producing key from thefeedback and using this key to protect part of the transmitted message.However, this feedback scheme has been proved only optimal for several degradedcases. The broadcast channel with mutual secrecy requirement (BC-MSR) isimportant as it constitutes the essence of physical layer security (PLS) in thedown-link of the wireless communication systems. In this paper, we investigatethe feedback effects on the BC-MSR, and propose two inner bounds and one outerbound on the secrecy capacity region of the BC-MSR with noiseless feedback. Oneinner bound is constructed according to the already existing secret key basedfeedback coding scheme for the wiretap channel, and the other is constructed bya hybrid coding scheme using feedback to generate not only keys protecting thetransmitted messages but also cooperative messages helping the receivers toimprove their decoding performance. The performance of the proposed feedbackschemes and the gap between the inner and outer bounds are further explainedvia two examples.

Feedback Coding Schemes for the Broadcast Channel with Mutual Secrecy Requirement