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Analysis of LT Codes over Finite Fields under Optimal Erasure Decoding

Schotsch, Birgit and Garrammone, Giuliano and Vary, Peter (2013) Analysis of LT Codes over Finite Fields under Optimal Erasure Decoding. IEEE Communications Letters. IEEE - Institute of Electrical and Electronics Engineers. ISSN 1089-7798

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Abstract

The erasure correction performance of Luby transform (LT) code ensembles over higher order Galois fields is analysed under optimal, i.e. maximum likelihood (ML) erasure decoding. We provide the complete set of four bounds on the erasure probability after decoding on word as well as on symbol level. Especially the upper bounds are extremely close to the simulated residual erasure rates after decoding and can thus be used for code design instead of time-consuming simulations.

Item URL in elib:https://elib.dlr.de/84361/
Document Type:Article
Title:Analysis of LT Codes over Finite Fields under Optimal Erasure Decoding
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Schotsch, BirgitRWTH Aachen UniversityUNSPECIFIED
Garrammone, GiulianoDLRUNSPECIFIED
Vary, PeterRWTH Aachen UniversityUNSPECIFIED
Date:September 2013
Journal or Publication Title:IEEE Communications Letters
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:Yes
Publisher:IEEE - Institute of Electrical and Electronics Engineers
ISSN:1089-7798
Status:Published
Keywords:Fountain codes, ML decoding, erasure channel.
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Aeronautics
HGF - Program Themes:ATM and Operation (old)
DLR - Research area:Aeronautics
DLR - Program:L AO - Air Traffic Management and Operation
DLR - Research theme (Project):L - Communication, Navigation and Surveillance (old)
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of Communication and Navigation > Satellite Networks
Deposited By: Garrammone, Giuliano
Deposited On:24 Sep 2013 09:43
Last Modified:06 Sep 2019 15:26

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