K-user Interference Channels: Achievable Secrecy Rate and Degrees of Freedom

TL;DR

This paper investigates achievable secrecy rates and degrees of freedom in symmetric K-user interference channels, demonstrating the effectiveness of nested lattice and layered coding in enhancing secrecy and capacity.

Contribution

It introduces new achievable secrecy rates using nested lattice and layered coding, and derives secure degrees of freedom for various channel parameters.

Findings

Nested lattice codes improve secrecy in K-user interference channels.

Achievable secrecy rates are established for very strong interference.

Nested lattice codes increase degrees of freedom even without secrecy constraints.

Abstract

In this work, we consider achievable secrecy rates for symmetric $K$-user ($K \ge 3$) interference channels with confidential messages. We find that nested lattice codes and layered coding are useful in providing secrecy for these channels. Achievable secrecy rates are derived for very strong interference. In addition, we derive the secure degrees of freedom for a range of channel parameters. As a by-product of our approach, we also demonstrate that nested lattice codes are useful for K-user symmetric interference channels without secrecy constraints in that they yield higher degrees of freedom than previous results.