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On generalized low-density parity-check codes based on Hamming component codes

Lentmaier, Michael LU and Zigangirov, Kamil LU (1999) In IEEE Communications Letters 3(8). p.248-250
Abstract
In this paper we investigate a generalization of Gallager's (1963) low-density (LD) parity-check codes, where as component codes single error correcting Hamming codes are used instead of single error detecting parity-check codes. It is proved that there exist such generalized low-density (GLD) codes for which the minimum distance is growing linearly with the block length, and a lower bound of the minimum distance is given. We also study iterative decoding of GLD codes for the communication over an additive white Gaussian noise channel. The performance in terms of the bit error rate, obtained by computer simulations, is presented for GLD codes of different lengths.
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
LDPC codes, generalized LDPC codes, GLDPC codes
in
IEEE Communications Letters
volume
3
issue
8
pages
248 - 250
publisher
IEEE--Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • Scopus:0033358305
ISSN
1089-7798
DOI
10.1109/4234.781010
language
English
LU publication?
yes
id
63fb4d56-5774-42e4-8939-539aeaa73cae (old id 3731734)
date added to LUP
2013-04-29 13:51:09
date last changed
2016-11-13 04:28:01
@misc{63fb4d56-5774-42e4-8939-539aeaa73cae,
  abstract     = {In this paper we investigate a generalization of Gallager's (1963) low-density (LD) parity-check codes, where as component codes single error correcting Hamming codes are used instead of single error detecting parity-check codes. It is proved that there exist such generalized low-density (GLD) codes for which the minimum distance is growing linearly with the block length, and a lower bound of the minimum distance is given. We also study iterative decoding of GLD codes for the communication over an additive white Gaussian noise channel. The performance in terms of the bit error rate, obtained by computer simulations, is presented for GLD codes of different lengths.},
  author       = {Lentmaier, Michael and Zigangirov, Kamil},
  issn         = {1089-7798},
  keyword      = {LDPC codes,generalized LDPC codes,GLDPC codes},
  language     = {eng},
  number       = {8},
  pages        = {248--250},
  publisher    = {ARRAY(0x9b38258)},
  series       = {IEEE Communications Letters},
  title        = {On generalized low-density parity-check codes based on Hamming component codes},
  url          = {http://dx.doi.org/10.1109/4234.781010},
  volume       = {3},
  year         = {1999},
}