On the guaranteed error correction capability of LDPC codes
Chilappagari, S.K.
Nguyen, D.V.
Vasic, B.
Marcellin, M.W.
Dept. of Electr. & Comput. Eng., Univ. of Arizona, Tucson, AZ;
This paper appears in: Information Theory, 2008. ISIT 2008. IEEE International Symposium on
Publication Date: 6-11 July 2008
On page(s): 434-438
Location: Toronto, ON,
ISBN: 978-1-4244-2256-2
INSPEC Accession Number: 10156349
Digital Object Identifier: 10.1109/ISIT.2008.4595023
Current Version Published: 2008-08-08
Abstract
We investigate the relation between the girth and the guaranteed error correction capability of gamma-left regular LDPC codes when decoded using the bit flipping (serial and parallel) algorithms. A lower bound on the number of variable nodes which expand by a factor of at least 3gamma/4 is found based on the Moore bound. An upper bound on the guaranteed correction capability is established by studying the sizes of smallest possible trapping sets.
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