Lattice Code Design for the Rayleigh Fading Wiretap Channel

TL;DR

This paper proposes a lattice code design criterion for secure communication over Rayleigh fading wiretap channels, extending lattice coding strategies from Gaussian channels to fading scenarios to enhance security.

Contribution

It introduces a new design criterion for nested lattices tailored to Rayleigh fading wiretap channels, optimizing both legitimate communication and eavesdropper confusion.

Findings

Design criterion for fine and coarse lattices in Rayleigh fading channels

Enhanced security through lattice code optimization

Extension of Gaussian wiretap lattice coding to fading environments

Abstract

It has been shown recently that coding for the Gaussian Wiretap Channel can be done with nested lattices. A fine lattice intended to the legitimate user must be designed as a usual lattice code for the Gaussian Channel, while a coarse lattice is added to introduce confusion at the eavesdropper, whose theta series must be minimized. We present a design criterion for both the fine and coarse lattice to obtain wiretap lattice codes for the Rayleigh fading Wiretap Channel.