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We face the following dilemma for designing low-density parity-check codes (LDPC) for quantum error correction. 1) The row weights of parity-check should be large: The minimum distances are bounded above by the minimum row weights of…

信息论 · 计算机科学 2011-02-16 Manabu Hagiwara , Kenta Kasai , Hideki Imai , Kohichi Sakaniwa

An information reconciliation method for continuous-variable quantum key distribution with Gaussian modulation that is based on non-binary low-density parity-check (LDPC) codes is presented. Sets of regular and irregular LDPC codes with…

量子物理 · 物理学 2016-03-01 Christoph Pacher , Jesus Martinez-Mateo , Jörg Duhme , Tobias Gehring , Fabian Furrer

We consider spatially coupled low-density parity-check codes with finite smoothing parameters. A finite smoothing parameter is important for designing practical codes that are decoded using low-complexity windowed decoders. By optimizing…

信息论 · 计算机科学 2019-07-09 Laurent Schmalen , Vahid Aref

Spatially coupled low-density parity-check (SC-LDPC) codes can achieve the channel capacity under low-complexity belief propagation (BP) decoding, however, there is a non-negligible rate-loss because of termination effects for practical…

信息论 · 计算机科学 2015-12-16 Sebastian Cammerer , Vahid Aref , Laurent Schmalen , Stephan ten Brink

In this paper, we investigate the joint design of channel and network coding in bi-directional relaying systems and propose a combined low complexity physical network coding and LDPC decoding scheme. For the same LDPC codes employed at both…

信息论 · 计算机科学 2013-02-21 Kui Xu , Zhenxing Lv , Youyun Xu , Dongmei Zhang , Xinyi Zhong , Wenwen Liang

The goal of the paper is to study specific properties of nonbinary low-density parity-check (NB LDPC) codes when used in coded modulation systems. The paper is focused on the practically important NB LDPC codes over extensions of the Galois…

信息论 · 计算机科学 2022-05-25 Irina E. Bocharova , Boris D. Kudryashov , Evgenii P. Ovsyannikov , Vitaly Skachek

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…

信息论 · 计算机科学 2012-04-13 Zhiqiang Cui , Zhongfeng Wang , Xinmiao Zhang

This paper proposes a new iterative gradient descent decoding method for real number parity codes. The proposed decoder, named Gradient Descent Symbol Update (GDSU), is used for a class of low-density parity-check (LDPC) real-number codes…

信息论 · 计算机科学 2024-11-26 Oana Boncalo , Alexandru Amaricai

In this paper, we present a novel way for solving the main problem of designing the capacity approaching irregular low-density parity-check (LDPC) code ensemble over binary erasure channel (BEC). The proposed method is much simpler, faster,…

信息论 · 计算机科学 2021-03-02 H. Tavakoli , M. Ahmadian Attari , M. R. Peyghami

We consider linear-programming (LP) decoding of low-density parity-check (LDPC) codes. While it is clear that one can use any general-purpose LP solver to solve the LP that appears in the decoding problem, we argue in this paper that the LP…

信息论 · 计算机科学 2007-07-16 Pascal O. Vontobel , Ralf Koetter

Quantum cryptography via key distribution mechanisms that utilize quantum entanglement between sender-receiver pairs will form the basis of future large-scale quantum networks. A key engineering challenge in such networks will be the…

信息论 · 计算机科学 2015-05-14 Yixuan Xie , Jun Li , Robert Malaney , Jinhong Yuan

Spatially Coupled Low-Density Parity-Check (SC-LDPC) codes offer excellent decoding performance and can be elegantly decoded with a Windowed Decoder (WD). We determine an efficient WD configuration with low control overhead. For fair…

信号处理 · 电气工程与系统科学 2020-04-28 Janik Frenzel , Stefan Müller-Weinfurtner , Johannes Huber , Ralf Müller

In the emerging field of goal-oriented communications, the focus has shifted from reconstructing data to directly performing specific learning tasks, such as classification, segmentation, or pattern recognition, on the received coded data.…

图像与视频处理 · 电气工程与系统科学 2025-03-18 Ahcen Aliouat , Elsa Dupraz

The asymptotic iterative decoding performances of low-density parity-check (LDPC) codes using min-sum (MS) and sum-product (SP) decoding algorithms on memoryless binary-input output-symmetric (MBIOS) channels are analyzed in this paper. For…

信息论 · 计算机科学 2007-07-13 Chun-Hao Hsu , Achilleas Anastasopoulos

Three areas of ongoing research in channel coding are surveyed, and recent developments are presented in each area: spatially coupled Low-Density Parity-Check (LDPC) codes, non-binary LDPC codes, and polar coding.

信息论 · 计算机科学 2015-04-16 Erdal Arikan , Najeeb ul Hassan , Michael Lentmaier , Guido Montorsi , Jossy Sayir

Generalized low-density parity-check (GLDPC) codes, where single parity-check (SPC) constraint nodes are replaced with generalized constraint (GC) nodes, are a promising class of codes for low latency communication. In this paper, a…

信息论 · 计算机科学 2019-10-16 Yanfang Liu , Pablo M. Olmos , David G. M. Mitchell

We present an analytic method of assessing the typical performance of low-density parity-check codes on finite-state Markov channels. We show that this problem is similar to a spin-glass model on a `small-world' lattice. We apply our…

无序系统与神经网络 · 物理学 2014-09-23 I. Neri , N. S. Skantzos

We consider spatially coupled low-density parity-check codes with finite smoothing parameters. A finite smoothing parameter is important for designing practical codes that are decoded using low-complexity windowed decoders. By optimizing…

信息论 · 计算机科学 2017-01-27 Laurent Schmalen , Vahid Aref , Fanny Jardel

In this paper, we analyze the finite-length performance of codes on graphs constructed by connecting spatially coupled low-density parity-check (SC-LDPC) code chains. Successive (peeling) decoding is considered for the binary erasure…

信息论 · 计算机科学 2014-03-03 Pablo M. Olmos , David G. M. Mitchell , Dmitri Truhachev , Daniel J. Costello

We analyze the asymptotic performance of nonbinary spatially-coupled low-density parity-check (SC-LDPC) codes built on the general linear group, when the transmission takes place over the binary erasure channel. We propose an efficient…

信息论 · 计算机科学 2016-11-15 Amina Piemontese , Alexandre Graell i Amat , Giulio Colavolpe