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Non-Binary LDPC Erasure Codes with Separated Low-Degree Variable Nodes

Garrammone, Giuliano and Paolini, Enrico and Matuz, Balazs and Liva, Gianluigi (2015) Non-Binary LDPC Erasure Codes with Separated Low-Degree Variable Nodes. IEEE Transactions on Communications, 63 (11), pp. 3937-3949. IEEE - Institute of Electrical and Electronics Engineers. DOI: 10.1109/TCOMM.2015.2468232 ISSN 0090-6778

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Abstract

The code design of non-binary low-density parity-check codes for the erasure channel, under maximum a posteriori decoding, is addressed. In particular, a partially-structured ensemble of codes, characterized by a careful control of the amount and of the connectivity of the variable nodes of small degrees, is proposed. The identified ensemble of codes is analyzed in terms of asymptotic thresholds and weight distribution and it is shown that codes from the ensemble provide a remarkable trade-off between waterfall performance, error floor, and decoding complexity. As an example, the performance curve of a short (256, 128) code on the memoryless 16-ary erasure channel tightly proaches the Singleton bound at least down to a codeword error rate of 10−9, at low decoding complexity.

Item URL in elib:https://elib.dlr.de/98050/
Document Type:Article
Title:Non-Binary LDPC Erasure Codes with Separated Low-Degree Variable Nodes
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Garrammone, GiulianoDLRUNSPECIFIED
Paolini, EnricoUniv. of BolognaUNSPECIFIED
Matuz, BalazsDLRUNSPECIFIED
Liva, GianluigiDLRUNSPECIFIED
Date:2015
Journal or Publication Title:IEEE Transactions on Communications
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:Yes
Volume:63
DOI :10.1109/TCOMM.2015.2468232
Page Range:pp. 3937-3949
Publisher:IEEE - Institute of Electrical and Electronics Engineers
ISSN:0090-6778
Status:Published
Keywords:Erasure channel, finite fields, low-density parity-check codes, maximum a posteriori decoding
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Communication and Navigation
DLR - Research area:Raumfahrt
DLR - Program:R KN - Kommunikation und Navigation
DLR - Research theme (Project):R - Vorhaben Multimedia Satellitennetze
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of Communication and Navigation
Deposited By: Garrammone, Giuliano
Deposited On:20 Nov 2015 16:00
Last Modified:08 Mar 2018 18:33

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