LDPC Code Design for the BPSK-constrained Gaussian Wiretap Channel

TL;DR

This paper proposes an irregular LDPC coding scheme for secure communication over a BPSK-constrained Gaussian wiretap channel, optimizing secrecy performance with a specialized code search.

Contribution

It introduces a novel LDPC code design tailored for BPSK-constrained wiretap channels, including a code search method for enhanced secrecy.

Findings

Achieves improved secrecy rates with irregular LDPC codes

Demonstrates effective code search procedure for optimal codes

Enhances understanding of LDPC performance in constrained wiretap scenarios

Abstract

A coding scheme based on irregular low-density parity-check (LDPC) codes is proposed to send secret messages from a source over the Gaussian wiretap channel to a destination in the presence of a wiretapper, with the restriction that the source can send only binary phase-shift keyed (BPSK) symbols. The secrecy performance of the proposed coding scheme is measured by the secret message rate through the wiretap channel as well as the equivocation rate about the message at the wiretapper. A code search procedure is suggested to obtain irregular LDPC codes that achieve good secrecy performance in such context.