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On the asymptotic performance of low-complexity decoded LDPC codes with constituent hamming codes

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4 Author(s)
Victor Zyablov ; Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow 101447, Russia ; Maja Loncar ; Rolf Johannesson ; Pavel Rybin

Hamming code-based LDPC (H-LDPC) block codes are obtained by replacing single parity-check codes in Gallagerpsilas LDPC codes with Hamming constituent codes. This paper investigates the asymptotic error-correcting capabilities of ensembles of random H-LDPC codes, used over the binary symmetric channel and decoded with a low-complexity hard-decision iterative decoding algorithm. The number of required decoding iterations is a logarithmic function of the code length. It is shown that there exist H-LDPC codes for which such an iterative decoding corrects any error pattern with a number of errors that grows linearly with the code length. For various choices of code parameters the results are supported by numerical examples.

Published in:

2008 5th International Symposium on Turbo Codes and Related Topics

Date of Conference:

1-5 Sept. 2008