Secure GDoF of $K$-User Gaussian Interference Channels: When Secrecy Incurs No Penalty

Recently, Geng et al. have shown that from the perspective of generalized degrees of freedom (GDoF), power control and treating interference as noise (TIN) is optimal for a broad class of Gaussian interference channels. In this work, we show that for TIN-optimal interference channels identified by Geng et al., secrecy constraints on unintended messages incur no GDoF penalty, which leads us to a secure capacity region characterization within a constant gap.