The noisy feedback interference channel with secrecy

We study the interference channel with one-sided generalized feedback and secrecy requirements. In our model Message 1 which is known just to Encoder 1 should be decoded by both receivers. Message 2 - known only to Encoder 2 - should be decoded by Decoder 2 and kept as secret as possible from Decoder 1. The uncertainty of Decoder 1 about Message 2 is measured by means of the equivocation rate. In addition, a noisy feedback is provided to Encoder 2. We derive an achievable rate-equivocation region for this model and an outer bound for the “noisy cribbing” regime that coincides with the inner bound the gap being in the Markov conditions satisfied by one of the auxiliary random variables.