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arXiv · 2401.16977

Performance Analysis of Generalized Product Codes with Irregular Degree Distribution

Sisi Miao·Jonathan Mandelbaum·Lukas Rapp·Holger Jäkel·Laurent Schmalen
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Abstract

This paper investigates the theoretical analysis of intrinsic message passing decoding for generalized product codes (GPCs) with irregular degree distributions, a generalization of product codes that allows every code bit to be protected by a minimum of two and potentially more component codes. We derive a random hypergraph-based asymptotic performance analysis for GPCs, extending previous work that considered the case where every bit is protected by exactly two component codes. The analysis offers a new tool to guide the code design of GPCs by providing insights into the influence of degree distributions on the performance of GPCs.

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Sisi Miao, Jonathan Mandelbaum, Lukas Rapp, Holger Jäkel, Laurent Schmalen. 2024-01-30. Performance Analysis of Generalized Product Codes with Irregular Degree Distribution. https://arxiv.org/abs/2401.16977

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