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Array Convolutional Low-Density Parity-Check Codes [PDF]

open access: greenIEEE Communications Letters, 2013
This paper presents a design technique for obtaining regular time-invariant low-density parity-check convolutional (RTI-LDPCC) codes with low complexity and good performance. We start from previous approaches which unwrap a low-density parity-check (LDPC)
Baldi, Marco   +2 more
core   +4 more sources

Quantum Low-Density Parity-Check Codes [PDF]

open access: greenPRX Quantum, 2021
Quantum error correction is an indispensable ingredient for scalable quantum computing. In this Perspective we discuss a particular class of quantum codes called “quantum low-density parity-check (LDPC) codes.” The codes we discuss are alternatives to ...
Nikolas P. Breuckmann   +1 more
doaj   +2 more sources

Localized statistics decoding for quantum low-density parity-check codes [PDF]

open access: yesNature Communications
Quantum low-density parity-check codes are a promising candidate for fault-tolerant quantum computing with considerably reduced overhead compared to the surface code.
Timo Hillmann   +5 more
doaj   +2 more sources

Low-Density Parity-Check Codes and Their Rateless Relatives [PDF]

open access: yesIEEE Communications Surveys and Tutorials, 2011
This survey guides the reader through the extensive open literature that is covering the family of low-density parity-check LDPC codes and their rateless relatives. In doing so, we will identify the most important milestones that have occurred since their conception until the current era and elucidate the related design problems and their respective ...
Nicholas Bonello   +2 more
exaly   +2 more sources

Doped low-density parity-check codes

open access: yesDigital Communications and Networks
In this paper, we propose a doping approach to lower the error floor of Low-Density Parity-Check (LDPC) codes. The doping component is a short block code in which the information bits are selected from the coded bits of the dominant trapping sets of the ...
Yong Li   +5 more
doaj   +3 more sources

Low Density Parity Check Code (LDPC Codes) Overview [PDF]

open access: greenCoRR, 2020
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, code rate, parity check matrix, tanner graph.
Saumya Borwankar, Dhruv Shah
openalex   +3 more sources

A New Method for Building Low-Density-Parity-Check Codes

open access: goldInternational Journal of Technology, 2019
This paper proposes a new method for building low-density-parity-check codes, exempt of cycle of length 4, based on a circulant permutation matrix, which needs very little memory for storage it in the encoder and a dual diagonal structure is applied ...
Tehami Mohammed Amine, Djebbari Ali
doaj   +3 more sources

Weight Distribution of Low-Density Parity-Check Codes

open access: greenIEEE Transactions on Information Theory, 2006
We derive the average weight distribution function and its asymptotic growth rate for low-density parity-check (LDPC) code ensembles. We show that the growth rate of the minimum distance of LDPC codes depends only on the degree distribution pair. It turns out that capacity-achieving sequences of standard (unstructured) LDPC codes under iterative ...
C. Di, Tom Richardson, Rüdiger Urbanke
openalex   +3 more sources

Double-Layer Low-Density Parity-Check Codes over Multiple-Input Multiple-Output Channels [PDF]

open access: goldInternational Journal of Antennas and Propagation, 2012
We introduce a double-layer code based on the combination of a low-density parity-check (LDPC) code with the multiple-input multiple-output (MIMO) system, where the decoding can be done in both inner-iteration and outer-iteration manners.
Yun Mao   +4 more
doaj   +2 more sources

Low density parity check coding. [PDF]

open access: yesIEEE Communications Letters, 2005
This thesis explores the properties of the family of Low Density Parity Check Codes (LDPCC). In addition to Gallager's original binary regular LDPCCs, the class of irregular LDPCCs and non-binary LDPCCs developed from the binary regular LDPCC is also studied.
LIVA, GIANLUIGI   +2 more
openaire   +5 more sources

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