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Quantum error correction is an indispensable ingredient for scalable quantum computing. In this Perspective we discuss a particular class of quantum codes called low-density parity-check (LDPC) quantum codes. The codes we discuss are…

Quantum Physics · Physics 2021-10-26 Nikolas P. Breuckmann , Jens Niklas Eberhardt

In this paper, we give necessary and sufficient conditions for low-density parity-check (LDPC) codes with column-weight three to correct three errors when decoded using hard-decision message-passing decoding. Additionally, we give necessary…

Information Theory · Computer Science 2009-09-29 Shashi Kiran Chilappagari , Anantha Raman Krishnan , Bane Vasic , Michael W. Marcellin

Low-Power Wide-Area Networks (LPWANs) are being successfully used for the monitoring of large-scale systems that are delay-tolerant and which have low-bandwidth requirements. The next step would be instrumenting these for the control of…

Systems and Control · Computer Science 2020-02-06 Laksh Bhatia , Ivana Tomic , Julie A. McCann

A method for estimating the performance of low-density parity-check (LDPC) codes decoded by hard-decision iterative decoding algorithms on binary symmetric channels (BSC) is proposed. Based on the enumeration of the smallest weight error…

Information Theory · Computer Science 2007-07-13 Hua Xiao , Amir H. Banihashemi

Since the discovery of turbo codes 20 years ago and the subsequent re-discovery of low-density parity-check codes a few years later, the field of channel coding has experienced a number of major advances. Up until that time, code designers…

Information Theory · Computer Science 2016-11-17 Daniel J. Costello, , Lara Dolecek , Thomas E. Fuja , Joerg Kliewer , David G. M. Mitchell , Roxana Smarandache

This paper investigates the application of low-density parity-check (LDPC) codes to Flash memories. Multiple cell reads with distinct word-line voltages provide limited-precision soft information for the LDPC decoder. The values of the…

Information Theory · Computer Science 2012-10-02 Jiadong Wang , Guiqiang Dong , Thomas Courtade , Hari Shankar , Tong Zhang , Richard Wesel

The looming electromagnetic spectrum crisis -- due to the fact of the explosive growth in the increasing user data demand -- has encouraged the emergence of new wireless technologies. This paper surveys the state-of-the-art leading and…

Signal Processing · Electrical Eng. & Systems 2023-03-20 Victor Monzon Baeza , Rafael Arellano Garcia

We introduce fair-density parity-check (FDPC) codes targeting high-rate applications. In particular, we start with a base parity-check matrix $H_b$ of dimension $2 \sqrt{n} \times n$, where $n$ is the code block length, and the number of…

Information Theory · Computer Science 2024-02-13 Hessam Mahdavifar

The introduction of 5G has changed the wireless communication industry. Whereas previous generations of cellular technology are mainly based on communication for people, the wireless industry is discovering that 5G may be an era of…

Information Theory · Computer Science 2023-03-09 Bohang Zhang , Zhaoujun Nan , Sheng Zhou , Zhisheng Niu

The performance of low-density parity-check (LDPC) codes at high signal-to-noise ratios (SNRs) is known to be limited by the presence of certain sub-graphs that exist in the Tanner graph representation of the code, for example trapping sets…

Information Theory · Computer Science 2019-11-11 Homayoon Hatami , David G. M. Mitchell , Daniel J. Costello , Thomas E. Fuja

Over the years, communication speed of networks has increased from a few Kbps to several Mbps, as also the bandwidth demand, Communication Protocols, however have not improved to that extent. With the advent of Wavelength Division…

Networking and Internet Architecture · Computer Science 2010-05-18 Iyengar. S , N Apte , A. A. Roy , S. Sanyal , N. M. Singhi , Wu Geng Feng

The aim of this paper is to study the performance of some coding schemes recently proposed for updating the TC channel coding standard for space applications, in the presence of jamming. Besides low-density parity-check codes, that appear…

Information Theory · Computer Science 2013-10-03 Marco Baldi , Marco Bianchi , Franco Chiaraluce , Roberto Garello , Nicola Maturo , Ignacio Aguilar Sanchez , Stefano Cioni

The next generation wireless networks (i.e. 5G and beyond), which would be extremely dynamic and complex due to the ultra-dense deployment of heterogeneous networks (HetNets), poses many critical challenges for network planning, operation,…

Information Theory · Computer Science 2018-01-15 Tadilo Endeshaw Bogale , Xianbin Wang , Long Bao Le

Recently, we introduced a new class of finite alphabet iterative decoders (FAIDs) for low-density parity-check (LDPC) codes. These decoders are capable of surpassing belief propagation in the error floor region on the Binary Symmetric…

Information Theory · Computer Science 2016-11-17 David Declercq , Bane Vasic , Shiva Kumar Planjery , Erbao Li

Redundancy is abundant in Fog networks (i.e., many computing and storage points) and grows linearly with network size. We demonstrate the transformational role of coding in Fog computing for leveraging such redundancy to substantially…

Information Theory · Computer Science 2017-02-21 Songze Li , Mohammad Ali Maddah-Ali , A. Salman Avestimehr

Quantum error correction (QEC) is a cornerstone of quantum computing, enabling reliable information processing in the presence of noise. Sparse stabilizer codes -- referred to generally as quantum low-density parity-check (QLDPC) codes --…

Quantum Physics · Physics 2025-10-20 Bane Vasic , Valentin Savin , Michele Pacenti , Shantom Borah , Nithin Raveendran

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…

Information Theory · Computer Science 2015-05-14 Yixuan Xie , Jun Li , Robert Malaney , Jinhong Yuan

We investigate the potentials of applying the coded caching paradigm in wireless networks. In order to do this, we investigate physical layer schemes for downlink transmission from a multiantenna transmitter to several cache-enabled users.…

Information Theory · Computer Science 2018-01-30 Seyed Pooya Shariatpanahi , Giuseppe Caire , Babak Hossein Khalaj

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 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 2019-07-09 Laurent Schmalen , Vahid Aref