Secret key generation from Gaussian sources using lattice hashing

TL;DR

This paper introduces a lattice-based scheme for secret key generation from Gaussian sources, achieving near-optimal secret key rates without requiring dithering, and utilizing novel lattice-hashing techniques based on flatness factor and intrinsic randomness.

Contribution

It presents a complete lattice-hashing scheme for secret key generation that is simple, does not need dithering, and achieves near-optimal secret key rates in degraded source models.

Findings

Achieves secret key rates up to 1/2 nat in degraded models.

Introduces a lattice-hashing technique based on flatness factor.

Does not require dithering in the scheme.

Abstract

We propose a simple yet complete lattice-based scheme for secret key generation from Gaussian sources in the presence of an eavesdropper, and show that it achieves strong secret key rates up to 1/2 nat from the optimal in the case of "degraded" source models. The novel ingredient of our scheme is a lattice-hashing technique, based on the notions of flatness factor and channel intrinsic randomness. The proposed scheme does not require dithering.