Regular LDPC codes on BMS wiretap channels: Security bounds

Fuente: arXiv
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Autori principali: Pathegama, Madhura, Barg, Alexander
Natura: Preprint
Pubblicazione: 2025
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author Pathegama, Madhura
Barg, Alexander
author_facet Pathegama, Madhura
Barg, Alexander
contents We improve the secrecy guarantees for transmission over general binary memoryless symmetric wiretap channels that relies on regular LDPC codes. Previous works showed that LDPC codes achieve secrecy capacity of some classes of wiretap channels while leaking $o(n)$ bits of information over $n$ uses of the channel. In this note, we improve the security component of these results by reducing the leakage parameter to $O(\log^2 n)$. While this result stops short of proving \emph{strong security}, it goes beyond the general secrecy guarantees derived from properties of capacity-approaching code families.
format Preprint
id arxiv_https___arxiv_org_abs_2502_06058
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Regular LDPC codes on BMS wiretap channels: Security bounds
Pathegama, Madhura
Barg, Alexander
Information Theory
We improve the secrecy guarantees for transmission over general binary memoryless symmetric wiretap channels that relies on regular LDPC codes. Previous works showed that LDPC codes achieve secrecy capacity of some classes of wiretap channels while leaking $o(n)$ bits of information over $n$ uses of the channel. In this note, we improve the security component of these results by reducing the leakage parameter to $O(\log^2 n)$. While this result stops short of proving \emph{strong security}, it goes beyond the general secrecy guarantees derived from properties of capacity-approaching code families.
title Regular LDPC codes on BMS wiretap channels: Security bounds
topic Information Theory
url https://arxiv.org/abs/2502.06058