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Related papers: Soft-Information Post-Processing for Chase-Pyndiah…

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We combine two approaches to optimize the iterative decoding of product codes with precoded polar component codes. On one side, we generate bitwise soft messages based on the codebook probability, an approximation of an auxiliary quantity…

Information Theory · Computer Science 2025-08-29 Nicolás Alvarez Prado , Andreas Straßhofer

We propose an enhanced Chase-Pyndiah decoder that scales extrinsic messages based on decoder confidence of the component decoder, achieving a 0.1 dB gain over the original with negligible complexity increase.

Information Theory · Computer Science 2026-04-23 Sisi Miao , Mert Birincioglu , Laurent Schmalen

Iterative decoding is essential in modern communication systems, especially optical communications, where error-correcting codes such as turbo product codes (TPC) and staircase codes are widely employed. A key factor in achieving high error…

Information Theory · Computer Science 2025-06-06 Dmitry Artemasov , Oleg Nesterenkov , Kirill Andreev , Pavel Rybin , Alexey Frolov

We propose a binary message passing decoding algorithm for product codes based on generalized minimum distance decoding (GMDD) of the component codes, where the last stage of the GMDD makes a decision based on the Hamming distance metric.…

Information Theory · Computer Science 2019-01-25 Alireza Sheikh , Alexandre Graell i Amat , Gianluigi Liva

This paper presents an improved FEC decoder design outperforming Chase-Pyndiah decoding of product codes by $0.23$ dB. To achieve this, the decoder does not require iteration-dependent coefficients, making it implementation-friendly for…

Information Theory · Computer Science 2026-05-14 Andreas Straßhofer

We propose a novel binary message passing decoding algorithm for product-like codes based on bounded distance decoding (BDD) of the component codes. The algorithm, dubbed iterative BDD with scaled reliability (iBDD-SR), exploits the channel…

Information Theory · Computer Science 2019-09-20 Alireza Sheikh , Alexandre Graell i Amat , Gianluigi Liva

We propose a modified iterative bounded distance decoding of product codes. The proposed algorithm is based on exchanging hard messages iteratively and exploiting channel reliabilities to make hard decisions at each iteration. Performance…

Information Theory · Computer Science 2018-05-15 Alireza Sheikh , Alexandre Graell i Amat , Gianluigi Liva

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…

Information Theory · Computer Science 2018-06-29 Alireza Sheikh , Alexandre Graell i Amat , Gianluigi Liva , Christian Häger , Henry D. Pfister

We propose an improved soft-aided decoding scheme for product codes that approaches the decoding performance of conventional soft-decision TPD with only a 0.2 dB gap while keeping the complexity and internal decoder data flow similarly low…

Information Theory · Computer Science 2022-07-12 Sisi Miao , Lukas Rapp , Laurent Schmalen

Guessing random additive noise decoding (GRAND) is a universal maximum-likelihood decoder that recovers code-words by guessing rank-ordered putative noise sequences and inverting their effect until one or more valid code-words are obtained.…

Information Theory · Computer Science 2023-04-18 Hadi Sarieddeen , Muriel Médard , Ken. R. Duffy

We propose a novel soft-aided low-complexity decoder for product codes based on dynamic reliability scores and error-and-erasure decoding. We observe coding gains of up to 1.2 dB compared to conventional hard-decision decoders.

Information Theory · Computer Science 2022-05-18 Sisi Miao , Lukas Rapp , Laurent Schmalen

We propose a novel soft-aided iterative decoding algorithm for product codes (PCs). The proposed algorithm, named iterative bounded distance decoding with combined reliability (iBDD-CR), enhances the conventional iterative bounded distance…

Information Theory · Computer Science 2021-09-08 Alireza Sheikh , Alexandre Graell i Amat , Gianluigi Liva , Alex Alvarado

Product codes (PCs) protect a two-dimensional array of bits using short component codes. Assuming transmission over the binary symmetric channel, the decoding is commonly performed by iteratively applying bounded-distance decoding to the…

Information Theory · Computer Science 2017-11-22 Christian Häger , Henry D. Pfister

In this work, we propose a new soft-input soft-output decoder called soft-output from covered space (SOCS) decoder. It estimates the a posteriori reliability based on the space explored by a list decoder, i.e., the set of vectors for which…

Information Theory · Computer Science 2025-07-21 Tim Janz , Simon Obermüller , Andreas Zunker , Stephan ten Brink

We implement a 1-Tb/s 0.63-pJ/bit soft-assisted product decoder in a 28-nm technology. The decoder uses one bit of soft information to improve its net coding gain by 0.2 dB, reaching 10.3-10.4 dB, which is similar to that of more complex…

Information Theory · Computer Science 2018-10-30 Christoffer Fougstedt , Alireza Sheikh , Alexandre Graell i Amat , Gianluigi Liva , Per Larsson-Edefors

In this paper we investigate the behavior of iteratively decoded low-density parity-check codes over the binary erasure channel in the so-called ``waterfall region." We show that the performance curves in this region follow a very basic…

Information Theory · Computer Science 2007-07-13 Abdelaziz Amraoui , Andrea Montanari , Tom Richardson , Ruediger Urbanke

This paper studies low-complexity soft-output decoding of turbo product codes with extended Bose--Chaudhuri--Hocquenghem component codes. Recent soft-output from covered space (SOCS) decoding substantially improves the quality of extrinsic…

Information Theory · Computer Science 2026-05-11 Oleg Nesterenkov , Kirill Andreev , Alexey Frolov , Pavel Rybin

We introduce a novel soft-aided hard-decision decoder for product codes adopting bit marking via updated reliabilities at each decoding iteration. Gains up to 0.8 dB vs. standard iterative bounded distance decoding and up to 0.3 dB vs. our…

Information Theory · Computer Science 2019-06-25 Gabriele Liga , Alireza Sheikh , Alex Alvarado

This paper proposes a quasi-belief propagation decoder for BCH codes that systematically integrates domain knowledge--specifically, channel noise variance, the cyclic property of the codes, and the deliberate redundancy in their…

Information Theory · Computer Science 2026-04-07 Guangwen Li

We use density evolution to optimize the parameters of binary product codes (PCs) decoded based on the recently introduced iterative bounded distance decoding with scaled reliability. We show that binary PCs with component codes of 3-bit…

Information Theory · Computer Science 2019-08-27 Alireza Sheikh , Alexandre Graell i Amat , Gianluigi Liva , Alex Alvarado
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