DeepAI
Log In Sign Up

The Secrecy Gain of Formally Unimodular Lattices on the Gaussian Wiretap Channel

11/02/2021
by   Maiara F. Bollauf, et al.
0

We consider lattice coding for the Gaussian wiretap channel, where the challenge is to ensure reliable communication between two authorized parties while preventing an eavesdropper from learning the transmitted messages. Recently, a measure called the secrecy function of a lattice coding scheme was proposed as a design criterion to characterize the eavesdropper's probability of correct decision. In this paper, the family of formally unimodular lattices is presented and shown to possess the same secrecy function behavior as unimodular and isodual lattices. Based on Construction A, we provide a universal approach to determine the secrecy gain, i.e., the maximum value of the secrecy function, for formally unimodular lattices obtained from formally self-dual codes. Furthermore, we show that formally unimodular lattices can achieve higher secrecy gain than the best-known unimodular lattices from the literature.

READ FULL TEXT

page 1

page 2

page 3

page 4

02/18/2022

On the Secrecy Gain of Formally Unimodular Construction A_4 Lattices

Lattice coding for the Gaussian wiretap channel is considered, where the...
06/28/2022

Formally Unimodular Packings for the Gaussian Wiretap Channel

This paper introduces the family of lattice-like packings, which general...
06/28/2019

Can Marton Coding Alone Ensure Individual Secrecy?

For communications in the presence of eavesdroppers, random components a...
02/05/2020

Explicit Codes for the Wiretap Channel: A Unified Design Framework

A construction of explicit codes for the wiretap channel is proposed. Ap...
10/30/2018

Deep Learning for the Gaussian Wiretap Channel

End-to-end learning of communication systems with neural networks and pa...
11/19/2018

Semantic Security and the Second-Largest Eigenvalue of Biregular Graphs

It is investigated how to achieve semantic security for the wiretap chan...