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Staircase codes (SCCs) are typically decoded using iterative bounded-distance decoding (BDD) and hard decisions. In this paper, a novel decoding algorithm is proposed, which partially uses soft information from the channel. The proposed…

Signal Processing · Electrical Eng. & Systems 2020-06-05 Yi Lei , Bin Chen , Gabriele Liga , Xiong Deng , Zizheng Cao , Jianqiang Li , Kun Xu , Alex Alvarado

In this paper, we present an iterative soft-decision decoding algorithm for Reed-Solomon codes offering both complexity and performance advantages over previously known decoding algorithms. Our algorithm is a list decoding algorithm which…

Information Theory · Computer Science 2014-11-17 Mostafa El-Khamy , Robert J. McEliece

Iterative decoding techniques have gain popularity due to their performance and their application in most communications systems. In this paper, we present a new application of our iterative decoder on the GPCB (Generalized Parallel…

Information Theory · Computer Science 2012-11-14 Hamid Allouch , Idriss Chana , Mostafa Belkasmi

In this paper we review existing hard-decision decoding algorithms for product codes along with different post-processing techniques used in conjunction with the iterative decoder for product codes. We improve the decoder by Reddy and…

Information Theory · Computer Science 2020-01-15 Ferdinand Blomqvist

Polar codes are the first provable capacity-achieving forward error correction (FEC) codes. In general polar codes can be decoded via either successive cancellation (SC) or belief propagation (BP) decoding algorithm. However, to date…

Information Theory · Computer Science 2014-11-27 Bo Yuan , Keshab K. Parhi

Regenerating codes provide an efficient way to recover data at failed nodes in distributed storage systems. It has been shown that regenerating codes can be designed to minimize the per-node storage (called MSR) or minimize the…

Information Theory · Computer Science 2014-06-26 Yunghsiang Han , Hung-Ta Pai , Rong Zheng , Pramod K. Varshney

In this paper, we consider the problem of iterative detection and decoding (IDD) for multi-antenna systems using low-density parity-check (LDPC) codes. The proposed IDD system consists of a soft-input soft-output parallel interference (PIC)…

Information Theory · Computer Science 2013-04-24 Jingjing Liu , Peng Li , Rodrigo C. de Lamare

We propose a new family of spatially coupled product codes, called sub-block rearranged staircase (SR-staircase) codes. Each code block of SR-staircase codes is obtained by encoding rearranged preceding code blocks and new information…

Information Theory · Computer Science 2022-06-29 Min Qiu , Jinhong Yuan

In this paper, we propose a new coded computing technique called "substitute decoding" for general iterative distributed computation tasks. In the first part of the paper, we use PageRank as a simple example to show that substitute decoding…

Information Theory · Computer Science 2018-05-17 Yaoqing Yang , Malhar Chaudhari , Pulkit Grover , Soummya Kar

In this paper, we propose to enhance the performance of the sum-product algorithm (SPA) by interleaving SPA iterations with a random local graph update rule. This rule is known as edge local complementation (ELC), and has the effect of…

Information Theory · Computer Science 2016-11-17 Joakim Grahl Knudsen , Constanza Riera , Lars Eirik Danielsen , Matthew G. Parker , Eirik Rosnes

Concatenating the state-of-the-art codes at moderate rates with repetition codes has emerged as a practical solution deployed in various standards for ultra-low-power devices such as in Internet-of-Things (IoT) networks. In this paper, we…

Information Theory · Computer Science 2022-03-24 Fariba Abbasi , Hessam Mahdavifar , Emanuele Viterbo

Quantum low-density parity-check (QLDPC) codes are a leading approach to quantum error correction, yet conventional belief propagation (BP) decoders often perform poorly, primarily due to non-convergence exacerbated by stabilizer…

Information Theory · Computer Science 2026-02-17 Mohsen Moradi , Salman Habib , Vahid Nourozi , David G. M. Mitchell

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

This work proposes an iterative detection, decoding and channel estimation scheme for multiple-antenna systems assisted by multiple reflective intelligent surfaces (RIS). A novel channel estimation technique that exploits low-density…

Information Theory · Computer Science 2025-09-09 Roberto C. G. Porto , Rodrigo C. de Lamare

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

This paper proposes two approaches for reducing the impact of the error floor phenomenon when decoding quantum low-density parity-check codes with belief propagation based algorithms. First, a low-complexity syndrome-based linear…

Information Theory · Computer Science 2024-01-22 Sana Javed , Francisco Garcia-Herrero , Bane Vasic , Mark F. Flanagan

The recently proposed recursive projection-aggregation (RPA) decoding algorithm for Reed-Muller codes has received significant attention as it provides near-ML decoding performance at reasonable complexity for short codes. However, its…

Information Theory · Computer Science 2023-09-07 Marzieh Hashemipour-Nazari , Yuqing Ren , Kees Goossens , Alexios Balatsoukas-Stimming

A Bounded-Degree Low-Rank Parity-Check (BD-LRPC) code is a rank-metric code that admits a parity-check matrix whose support is generated by a set of powers of an element. This specific structure of the parity-check matrix was employed to…

Information Theory · Computer Science 2025-09-17 Hermann Tchatchiem Kamche

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

This article introduces a novel concatenated coding scheme called sparse regression LDPC (SR-LDPC) codes. An SR-LDPC code consists of an outer non-binary LDPC code and an inner sparse regression code (SPARC) whose respective field size and…

Information Theory · Computer Science 2024-10-28 Jamison R. Ebert , Jean-Francois Chamberland , Krishna R. Narayanan