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On Low-Complexity Decoding of Product Codes for High-Throughput Fiber-Optic Systems

2018/06/28 by Alireza Sheikh, Alexandre Graell i Amat, Sheikh, Alireza +7 · 1 citation
Computer Science · Engineering · Mathematics · #Advanced Wireless Communication Techniques #Error Correcting Code Techniques #FOS: Computer and information sciences #Information Theory (cs.IT) #Wireless Communication Networks Research #cs.IT #graph theory and CDMA systems #math.IT

paper · pdf · doi:10.48550/arxiv.1806.10903

arxiv created 2018/06/28 · openalex publication_date 2018/06/28 · arxiv updated 2018/06/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study low-complexity iterative decoding algorithms for product codes. We revisit two algorithms recently proposed by the authors based on bounded distance decoding (BDD) of the component codes that improve the performance of conventional iterative BDD (iBDD). We then propose a novel decoding algorithm that is based on generalized minimum distance decoding of the component codes. The proposed algorithm closes over 50% of the performance gap between iBDD and turbo product decoding (TPD) based on the Chase-Pyndiah algorithm. Moreover, the algorithm only leads to a limited increase in complexity with respect to iBDD and has significantly lower complexity than TPD. The studied algorithms are particularly interesting for high-throughput fiber-optic communications.

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