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Partial decoding has the potential to achieve a larger capacity region than full decoding in two-way relay (TWR) channels. Existing partial decoding realizations are however designed for Gaussian channels and with a static physical layer…

Information Theory · Computer Science 2016-11-15 Jianquan Liu , Meixia Tao , Youyun Xu

The decoding performance of polar codes strongly depends on the decoding algorithm used, while also the decoder throughput and its latency mainly depend on the decoding algorithm. In this work, we implement the powerful successive…

Information Theory · Computer Science 2016-12-22 Sebastian Cammerer , Benedikt Leible , Matthias Stahl , Jakob Hoydis , Stephan ten Brink

We study the performance of nonbinary low-density parity-check (LDPC) codes over finite integer rings over two channels that arise from the Lee metric. The first channel is a discrete memory-less channel (DMC) matched to the Lee metric. The…

Information Theory · Computer Science 2022-10-19 Jessica Bariffi , Hannes Bartz , Gianluigi Liva , Joachim Rosenthal

Kudekar et al. proved an interesting result in low-density parity-check (LDPC) convolutional codes: The belief-propagation (BP) threshold is boosted to the maximum-a-posteriori (MAP) threshold by spatial coupling. Furthermore, the authors…

Information Theory · Computer Science 2015-05-27 Keigo Takeuchi , Toshiyuki Tanaka , Tsutomu Kawabata

Decoding sparse quantum codes can be accomplished by syndrome-based decoding using a belief propagation (BP) algorithm.We significantly improve this decoding scheme by developing a new feedback adjustment strategy for the standard BP…

Quantum Physics · Physics 2013-09-25 Yun-Jiang Wang , Barry C. Sanders , Bao-Ming Bai , Xin-Mei Wang

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

A joint scheme for the channel coding and spectrum spreading communication system is proposed in this paper. The Bit Error Rate (BER) performance of the joint proposed scheme is evaluated and compared with the case of channel coding scheme…

Information Theory · Computer Science 2021-08-24 Hadi Khodaei Jooshin , Mahdi Nangir

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

Spatially coupled low-density parity-check (SC-LDPC) codes are a class of capacity approaching LDPC codes with low message recovery latency when a sliding window decoding is used. In this paper, we first present a new method for the…

Information Theory · Computer Science 2023-10-20 Zeinab Roostaie , Mohammad Gholami , Farzad Parvaresh

The near channel performance of Low Density Parity Check Codes (LDPC) has motivated its wide applications. Iterative decoding of LDPC codes provides significant implementation challenges as the complexity grows with the code size. Recent…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-11-29 Sudeep Kanur , Georgios Georgakarakos , Antti Siirilä , Jérémie Lagravière , Kristian Nybom , Sébastien Lafond , Johan Lilius

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

This paper investigates the design of spatially coupled low-density parity-check (SC-LDPC) codes constructed from connected-chain ensembles for bit-interleaved coded modulation (BICM) schemes. For short coupling lengths, connecting multiple…

Information Theory · Computer Science 2021-07-08 Yihuan Liao , Min Qiu , Jinhong Yuan

This work presents a hardware-efficient and fully parallelizable decoder for quantum LDPC codes that leverages belief propagation (BP) with a speculative post-processing strategy inspired by classical Chase decoding algorithm. By monitoring…

Quantum Physics · Physics 2026-02-11 Ming Wang , Ang Li , Frank Mueller

We show that belief propagation combined with ordered statistics post-processing is a general decoder for quantum low density parity check codes constructed from the hypergraph product. To this end, we run numerical simulations of the…

Quantum Physics · Physics 2021-01-04 Joschka Roffe , David R. White , Simon Burton , Earl T. Campbell

We investigate spatially coupled code ensembles. For transmission over the binary erasure channel, it was recently shown that spatial coupling increases the belief propagation threshold of the ensemble to essentially the maximum a-priori…

Information Theory · Computer Science 2012-01-17 Shrinivas Kudekar , Tom Richardson , Ruediger Urbanke

In this paper, we develop a new channel model, which we name the $q$-ary partial erasure channel (QPEC). The QPEC has a $q$-ary input, and its output is either the input symbol or a set of $M$ ($2 \le M \le q$) symbols, containing the input…

Information Theory · Computer Science 2016-05-26 Rami Cohen , Yuval Cassuto

We consider spatially-coupled protograph-based LDPC codes for the three terminal erasure relay channel. It is observed that BP threshold value, the maximal erasure probability of the channel for which decoding error probability converges to…

Information Theory · Computer Science 2015-05-27 Hironori Uchikawa , Kenta Kasai , Kohichi Sakaniwa

Efficient decoding is crucial to high-throughput and power-sensitive wireless communication scenarios. A theoretical analysis of the performance-complexity tradeoff toward low-complexity decoding is required for a better understanding of…

Information Theory · Computer Science 2025-11-12 Qingqing Peng , Dawei Yin , Dongxu Chang , Yuan Li , Huazi Zhang , Guiying Yan , Guanghui Wang

In this paper, we propose a new decoder, called the Multiple-Bases Belief-Propagation List Decoder (MBBP-LD), for Quantum Low-Density Parity-Check (QLDPC) codes. It extends the Multiple-Bases Belief-Propagation (MBBP) framework, originally…

Information Theory · Computer Science 2025-11-06 Sheida Rabeti , Hessam Mahdavifar

Spatially coupled low-density parity-check (SC-LDPC) codes are sparse graph codes that have recently become of interest due to their capacity-approaching performance on memoryless binary input channels. In this paper, we unify all existing…

Information Theory · Computer Science 2017-10-11 Allison Beemer , Salman Habib , Christine A. Kelley , Joerg Kliewer
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