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

Publiceringsår: 2008
Språk: Engelska
Dokumenttyp: Konferensbidrag


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.



  • Electrical Engineering, Electronic Engineering, Information Engineering


5th Int. Symp. Turbo Codes & Related Topics
Lausanne, Switzerland
  • Information Theory

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