Chirp-Permuted AFDM for Quantum-Resilient Physical-Layer Secure Communications

This article presents a novel physical-layer secure communications scheme based on the recently discovered chirp-permuted affine frequency division multiplexing (AFDM) waveform, which results in a completely different received signal to the eavesdropper with the incorrect chirp-permutation order, even under co-located eavesdropping with perfect channel information. The security of the proposed scheme is studied in terms of the complexity required to find the correct permutation via classical and quantum search algorithms, which are shown to be infeasible due the factorially-scaling search space, as well as theoretical and simulated analyses of a random-guess approach, indicating an infeasible probability of breach by chance.