Performance Analysis of Generalized Product Codes with Irregular Degree Distribution

Author:

Sisi Miao, Jonathan Mandelbaum, Lukas Rapp, Holger Jäkel, Laurent Schmalen

Keyword:

Computer Science, Information Theory, Information Theory (cs.IT)

journal:

date:

2024-01-30 00:00:00

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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