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Low-density parity-check (LDPC) codes have been successfully commercialized in communication systems due to their strong error correction capabilities and simple decoding process. However, the error-floor phenomenon of LDPC codes, in which…

Information Theory · Computer Science 2023-10-31 Hee-Youl Kwak , Dae-Young Yun , Yongjune Kim , Sang-Hyo Kim , Jong-Seon No

In this work we propose RELDEC, a novel approach for sequential decoding of moderate length low-density parity-check (LDPC) codes. The main idea behind RELDEC is that an optimized decoding policy is subsequently obtained via reinforcement…

Information Theory · Computer Science 2023-07-28 Salman Habib , Allison Beemer , Joerg Kliewer

In this paper, we propose a novel low complexity scaling strategy of min-sum decoding algorithm for irregular LDPC codes. In the proposed method, we generalize our previously proposed simplified Variable Scaled Min-Sum (SVS-min-sum) by…

Information Theory · Computer Science 2015-01-30 Ahmed A. Emran , Maha Elsabrouty

In this paper, we propose an efficient reliability based segmentation-discarding decoding (SDD) algorithm for short block-length codes. A novel segmentation-discarding technique is proposed along with the stopping rule to significantly…

Information Theory · Computer Science 2019-01-23 Chentao Yue , Mahyar Shirvanimoghaddam , Yonghui Li , Branka Vucetic

Departing from traditional communication theory where decoding algorithms are assumed to perform without error, a system where noise perturbs both computational devices and communication channels is considered here. This paper studies…

Information Theory · Computer Science 2010-05-31 Lav R. Varshney

In this study, an optimization model for offline scheduling policy of low-density parity-check (LDPC) codes is proposed to improve the decoding efficiency of the belief propagation (BP). The optimization model uses the number of messages…

Information Theory · Computer Science 2024-08-07 Dongxu Chang , Zhiming Ma , Guanghui Wang , Guiying Yan , Dawei Yin

We propose a reduced complexity approach to pattern-based soft decoding of block codes. We start from the ORDEPT decoding algorithm which tests a list of partial error patterns organized in the order of their likelihood and attempts to…

Signal Processing · Electrical Eng. & Systems 2025-06-26 Reza Hadavian , Dmitri Truhachev

This paper is concerned with the ordered statistic decoding with local constraints (LC-OSD) of binary linear block codes, which is a near maximum-likelihood decoding algorithm. Compared with the conventional OSD, the LC-OSD significantly…

Information Theory · Computer Science 2024-01-31 Jifan Liang , Xiao Ma

We introduce a novel algorithm for decoding binary linear codes by linear programming. We build on the LP decoding algorithm of Feldman et al. and introduce a post-processing step that solves a second linear program that reweights the…

Information Theory · Computer Science 2011-03-16 Amin Khajehnejad , Alexandros G. Dimakis , Babak Hassibi , Benjamin Vigoda , William Bradley

Layered decoding is well appreciated in Low-Density Parity-Check (LDPC) decoder implementation since it can achieve effectively high decoding throughput with low computation complexity. This work, for the first time, addresses low…

Information Theory · Computer Science 2012-04-13 Zhiqiang Cui , Zhongfeng Wang , Xinmiao Zhang

Belief Propagation (BP) followed by Ordered Statistics Decoding (OSD) has emerged as the gold standard for decoding quantum low-density parity-check (QLDPC) codes. Recent advancements in this field have proposed new methods and algorithms…

Information Theory · Computer Science 2026-05-26 Michele Banfi , Marco Ferrari , Antonino Favano , Alberto Tarable , Luca Barletta

The design of optimal linear block codes capable of being efficiently decoded is of major concern, especially for short block lengths. As near capacity-approaching codes, Low-Density Parity-Check (LDPC) codes possess several advantages over…

Information Theory · Computer Science 2024-10-11 Yoni Choukroun , Lior Wolf

Polar codes asymptotically achieve the symmetric capacity of memoryless channels, yet their error-correcting performance under successive-cancellation (SC) decoding for short and moderate length codes is worse than that of other modern…

Information Theory · Computer Science 2015-12-25 Gabi Sarkis , Pascal Giard , Alexander Vardy , Claude Thibeault , Warren J. Gross

In this paper, we propose a pre-configured error pattern ordered statistics decoding (PEPOSD) algorithm and discuss its application to short cyclic redundancy check (CRC)-polar codes. Unlike the traditional OSD that changes the most…

Information Theory · Computer Science 2023-09-26 Xuanyu Li , Kai Niu , Yuxin Han , Jincheng Dai , Zhiyuan Tan , Zhiheng Guo

A low-density parity-check (LDPC) code is a linear block code described by a sparse parity-check matrix, which can be efficiently represented by a bipartite Tanner graph. The standard iterative decoding algorithm, known as belief…

Information Theory · Computer Science 2016-05-17 Sachini Jayasooriya , Sarah J. Johnson , Lawrence Ong , Regina Berretta

We present a novel framework for applying deep neural networks (DNN) to soft decoding of linear codes at arbitrary block lengths. Unlike other approaches, our framework allows unconstrained DNN design, enabling the free application of…

Information Theory · Computer Science 2018-02-27 Amir Bennatan , Yoni Choukroun , Pavel Kisilev

In this study, we investigate the characteristics of scheduling sequences that enable efficient decoding of generalized low-density parity-check (GLDPC) codes under the layered message-passing algorithm. In particular, we show that…

Information Theory · Computer Science 2026-04-28 Qingqing Peng , Dongxu Chang , Guiying Yan , Guanghui Wang

Belief-propagation (BP) decoding for quantum low-density parity-check (QLDPC) codes is appealing due to its low complexity, yet it often exhibits convergence issues due to quantum degeneracy and short cycles that exist in the Tanner graph.…

Information Theory · Computer Science 2026-03-12 Mohsen Moradi , Vahid Nourozi , Salman Habib , David G. M. Mitchell

Coded computing has emerged as a promising framework for tackling significant challenges in large-scale distributed computing, including the presence of slow, faulty, or compromised servers. In this approach, each worker node processes a…

Machine Learning · Computer Science 2026-03-26 Parsa Moradi , Behrooz Tahmasebi , Mohammad Ali Maddah-Ali

Quantum errors are primarily detected and corrected using the measurement of syndrome information which itself is an unreliable step in practical error correction implementations. Typically, such faulty or noisy syndrome measurements are…

Quantum Physics · Physics 2022-05-06 Nithin Raveendran , Narayanan Rengaswamy , Asit Kumar Pradhan , Bane Vasić