Treating Interference as Noise Is Optimal for Covert Communication Over Interference Channels

We study the covert communication over $K$ -user-pair discrete memoryless interference channels (DM-ICs) with a warden. It is assumed that the warden’s channel output distribution induced by $K$ “off” input symbols, which are sent when no communication occurs, is not a convex combination of those induced by any other combination of input symbols (otherwise, the square-root law does not hold). We derive the exact covert capacity region and show that a simple point-to-point based scheme with treating interference as noise is optimal. In addition, we analyze the secret key length required for the reliable and covert communication with the desired rates, and present a channel condition where a secret key between each user pair is unnecessary. The results are extended to the Gaussian case and the case with multiple wardens.