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In this paper, we focus on the two-user Gaussian interference channel (GIC), and study the Han-Kobayashi (HK) coding/decoding strategy with the objective of designing low-density parity-check (LDPC) codes. A code optimization algorithm is…

Information Theory · Computer Science 2014-05-27 Shahrouz Sharifi , A. Korhan Tanc , Tolga M. Duman

Hypergraph products are quantum low-density parity-check (LDPC) codes constructed from two classical LDPC codes. Although their dimension and distance depend only on the parameters of the underlying classical codes, optimizing their…

Quantum Physics · Physics 2025-06-06 Bruno C. A. Freire , Nicolas Delfosse , Anthony Leverrier

We show that spatially coupled low-density parity-check (LDPC) codes yield robust performance over changing intersymbol interfere (ISI) channels with optimal and suboptimal detectors. We compare the performance with classical LDPC code…

Information Theory · Computer Science 2024-04-19 Mgeni Makambi Mashauri , Alexandre Graell i Amat , Michael Lentmaier

Hinging on ideas from physical-layer network coding, some promising proposals of coded random access systems seek to improve system performance (while preserving low complexity) by means of packet repetitions and decoding of linear…

Information Theory · Computer Science 2018-05-30 Adriano Pastore , Paul de Kerret , Monica Navarro , David Gregoratti , David Gesbert

Low-density parity-check (LDPC) codes are capable of achieving excellent performance and provide a useful alternative for high performance applications. However, at medium to high signal-to-noise ratios (SNR), an observable error floor…

Information Theory · Computer Science 2016-08-17 C. T. Healy , R. C. de Lamare

The design of low-density parity-check (LDPC) code ensembles optimized for a finite number of decoder iterations is investigated. Our approach employs EXIT chart analysis and differential evolution to design such ensembles for the binary…

Information Theory · Computer Science 2016-11-17 Ian P. Mulholland , Enrico Paolini , Mark F. Flanagan

The paper presents bounds on the achievable rates and the decoding complexity of low-density parity-check (LDPC) codes. It is assumed that the communication of these codes takes place over statistically independent parallel channels where…

Information Theory · Computer Science 2007-07-13 Igal Sason , Gil Wiechman

We solve the problem of designing powerful low-density parity-check (LDPC) codes with iterative decoding for the block-fading channel. We first study the case of maximum-likelihood decoding, and show that the design criterion is rather…

Information Theory · Computer Science 2016-11-18 Joseph J. Boutros , Albert Guillen i Fabregas , Ezio Biglieri , Gilles Zemor

We address the problem of optimizing the throughput of network coded traffic in mobile networks operating in challenging environments where connectivity is intermittent and locally available memory space is limited. Random linear network…

Information Theory · Computer Science 2011-04-19 Gabriel Popa

We present a decode-and-forward transmission scheme based on spatially-coupled low-density parity-check (SC-LDPC) codes for a network consisting of two (possibly correlated) sources, one relay, and one destination. The links between the…

Information Theory · Computer Science 2014-02-17 Stefan Schwandter , Alexandre Graell i Amat , Gerald Matz

An algorithm is proposed to encode low-density parity-check (LDPC) codes into codewords with a non-uniform distribution. This enables power-efficient signalling for asymmetric channels. We show gains of 0.9 dB for additive white Gaussian…

Information Theory · Computer Science 2023-05-24 Thomas Wiegart , Linfang Wang , Diego Lentner , Richard D. Wesel

Low-density parity-check (LDPC) codes have been used for communication over a two-user Gaussian broadcast channel. It has been shown in the literature that the optimal decoding of such system requires joint decoding of both user messages at…

Information Theory · Computer Science 2016-11-18 Mahdi Ramezani , Masoud Ardakani

We investigate the use of Gallager's low-density parity-check (LDPC) codes in a broadcast channel, one of the fundamental models in network information theory. Combining linear codes is a standard technique in practical network…

Statistical Mechanics · Physics 2009-11-07 Kazutaka Nakamura , Robert Morelos-Zaragoza , David Saad , Yoshiyuki Kabashima

We address the problem of performing message-passing-based decoding of quantum LDPC codes under hardware latency limitations. We propose a novel way to do layered decoding that suits quantum constraints and outperforms flooded scheduling,…

Quantum Physics · Physics 2023-08-28 Julien Du Crest , Francisco Garcia-Herrero , Mehdi Mhalla , Valentin Savin , Javier Valls

In this paper, we propose a new design method of irregular spatially-coupled low-density parity-check (SC-LDPC) codes with non-uniform degree distributions by linear programming (LP). In general, irregular SC-LDPC codes with non-uniform…

Information Theory · Computer Science 2018-03-28 Heeyoul Kwak , Jong-Seon No , Hosung Park

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…

Information Theory · Computer Science 2017-01-27 Laurent Schmalen , Vahid Aref , Fanny Jardel

This paper basically expresses the core fundamentals and brief overview of the research of R. G. GALLAGER [1] on Low-Density Parity-Check (LDPC) codes and various parameters related to LDPC codes like, encoding and decoding of LDPC codes,…

Information Theory · Computer Science 2020-09-21 Saumya Borwankar , Dhruv Shah

Low-density parity-check (LDPC) coding for a multitude of equal-capacity channels is studied. First, based on numerous observations, a conjecture is stated that when the belief propagation decoder converges on a set of equal-capacity…

Information Theory · Computer Science 2016-11-17 Ali Sanaei , Mahdi Ramezani , Masoud Ardakani

In this paper, we compare the finite-length performance of protograph-based spatially coupled low-density parity-check (SC-LDPC) codes and LDPC block codes (LDPC-BCs) over GF(q). In order to reduce computational complexity and latency, a…

Information Theory · Computer Science 2014-08-13 Kechao Huang , David G. M. Mitchell , Lai Wei , Xiao Ma , Daniel J. Costello

We study medium access control layer random access under the assumption that the receiver can perform successive interference cancellation, without feedback. During recent years, a number of protocols with impressive error performance have…

Information Theory · Computer Science 2019-05-09 Christopher Boyd , Roope Vehkalahti , Olav Tirkkonen , Antti Laaksonen