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Short Non-Binary IRA Codes on Large-Girth Hamiltonian Graphs

Liva, Gianluigi and Matuz, Balazs and Paolini, Enrico and Chiani, Marco (2011) Short Non-Binary IRA Codes on Large-Girth Hamiltonian Graphs. IEEE International Conference on Communications, 10-15 June 2012, Ottawa, Canada.

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Abstract

Short non-binary irregular repeat-accumulate (IRA) codes based on well-known Hamiltonian and Hypohamiltonian graphs with large girth are presented. The mapping of the code coordinates on the graph edges is discussed for Hamiltonian graphs, and two encoding methods on Hypohamiltonian graphs are introduced. The performance of the presented codes on order-256 finite fields (F256) is provided for both the additive white Gaussian (AWGN) channel and the binary erasure channel (BEC) under iterative (IT) decoding. For the latter case, the performance under maximum likelihood (ML) decoding is also presented, to illustrate that the proposed codes not only attain performances close to the random coding bound, but also show limited losses when decoded iteratively.

Document Type:Conference or Workshop Item (Paper)
Title:Short Non-Binary IRA Codes on Large-Girth Hamiltonian Graphs
Authors:
AuthorsInstitution or Email of Authors
Liva, GianluigiDLR
Matuz, BalazsDLR
Paolini, EnricoUniv. of Bologna
Chiani, MarcoUniv. of Bologna
Date:September 2011
Status:Published
Keywords:Turbo Codes, LDPC Codes, Finite Fields
Event Title:IEEE International Conference on Communications
Event Location:Ottawa, Canada
Event Type:international Conference
Event Dates:10-15 June 2012
HGF - Research field:Aeronautics, Space and Transport (old)
HGF - Program:Space (old)
HGF - Program Themes:W - no assignement
DLR - Research area:Space
DLR - Program:W - no assignement
DLR - Research theme (Project):W -- no assignement (old)
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of Communication and Navigation > Digital Networks
Deposited By: Dr. Gianluigi Liva
Deposited On:19 Jun 2012 11:35
Last Modified:19 Jun 2012 11:35

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