Strong Secrecy on a Class of Degraded Broadcast Channels Using Polar Codes

TL;DR

This paper introduces polar coding schemes for secure communication over degraded broadcast channels, ensuring reliable message delivery to legitimate receivers while keeping eavesdroppers ignorant, with performance validated through simulations.

Contribution

It proposes novel layered polar coding schemes for both decoding and secrecy in degraded broadcast channels, addressing multiple reliability and security requirements.

Findings

Polar codes achieve strong secrecy in degraded broadcast channels.

Simulation results demonstrate the effectiveness of the proposed schemes.

Layered decoding and secrecy structures improve communication security and reliability.

Abstract

Different polar coding schemes are proposed for the memoryless degraded broadcast channel under different reliability and secrecy requirements: layered decoding and/or layered secrecy. In this setting, the transmitter wishes to send multiple messages to a set of legitimate receivers keeping them masked from a set of eavesdroppers. The layered decoding structure requires receivers with better channel quality to reliably decode more messages, while the layered secrecy structure requires eavesdroppers with worse channel quality to be kept ignorant of more messages. The implementation of the proposed polar coding schemes is discussed and their performance is evaluated by simulations for the symmetric degraded broadcast channel.