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On the Asymptotic Performance of Low-Complexity Decoded LDPC Codes with Constituent Hamming Codes

Zyablov, Victor; Loncar, Maja LU and Johannesson, Rolf LU (2008) 5th Int. Symp. Turbo Codes & Related Topics
Abstract
Hamming code-based LDPC (H-LDPC) block codes are obtained by replacing single parity-check codes in Gallager's 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.
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5th Int. Symp. Turbo Codes & Related Topics
language
English
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yes
id
77481262-378b-4d28-9001-eeabfb879f34 (old id 1172379)
date added to LUP
2008-07-09 10:50:30
date last changed
2016-04-16 12:03:28
@misc{77481262-378b-4d28-9001-eeabfb879f34,
  abstract     = {Hamming code-based LDPC (H-LDPC) block codes are obtained by replacing single parity-check codes in Gallager's 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.},
  author       = {Zyablov, Victor and Loncar, Maja and Johannesson, Rolf},
  language     = {eng},
  title        = {On the Asymptotic Performance of Low-Complexity Decoded LDPC Codes with Constituent Hamming Codes},
  year         = {2008},
}