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  4. A family of non-binary TLDPC codes: density evolution, convergence and thresholds
 
conference paper

A family of non-binary TLDPC codes: density evolution, convergence and thresholds

Andriyanova, Iryna
•
Tillich, Jean-Pierre
2007
2007 Ieee International Symposium On Information Theory Proceedings
IEEE International Symposium on Information Theory

We generalize the results about how to compute iterative decoding thresholds over the binary erasure channel of non-binary LDPC code ensembles of [16] to non-binary TLDPC codes [2], [3]. We show in this case how density evolution can be performed in order to calculate iterative decoding thresholds and find several famillies with a very simple regular structure and thresholds close to the Shannon limit. To check the performances of these codes over other channels we have tested one of the simplest codes over F-4 which has rate 1/2 on the Gaussian channel. For the (binary) length 1008 for instance, without any optimization on the permutation structure of the code, it matches the performances of the best binary codes of the same length up to the word-error rate 10(-3). We also notice that all LDPC codes (binary or not) having at least two symbols of degree 2 per parity-check equation can be represented as a special kind of TLDPC codes. We show that this representation and the associated decoding algorithm leads in the case of cycle codes to a significant reduction of the number of iterations which are needed for iterative decoding.

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Type
conference paper
DOI
10.1109/ISIT.2007.4557389
Web of Science ID

WOS:000257010201075

Author(s)
Andriyanova, Iryna
Tillich, Jean-Pierre
Date Issued

2007

Publisher

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa

Published in
2007 Ieee International Symposium On Information Theory Proceedings
ISBN of the book

978-1-4244-1397-3

Start page

1216

End page

1220

Editorial or Peer reviewed

NON-REVIEWED

Written at

EPFL

EPFL units
LTHC  
Event nameEvent placeEvent date
IEEE International Symposium on Information Theory

Nice, FRANCE

Jun 24-29, 2007

Available on Infoscience
July 4, 2012
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/83536
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