Secrecy Gain: a Wiretap Lattice Code Design

TL;DR

This paper introduces the concept of secrecy gain as a new criterion for designing wiretap lattice codes, emphasizing geometric lattice properties to enhance security over Gaussian channels.

Contribution

It proposes the secrecy gain as a novel design criterion based on lattice geometry and theta series for wiretap codes.

Findings

Secrecy gain effectively characterizes secure lattice code performance.

Geometrical lattice properties influence wiretap code security.

The approach links lattice geometry with error probabilities for security analysis.

Abstract

We propose the notion of secrecy gain as a code design criterion for wiretap lattice codes to be used over an additive white Gaussian noise channel. Our analysis relies on the error probabilites of both the legitimate user and the eavesdropper. We focus on geometrical properties of lattices, described by their theta series, to characterize good wiretap codes.