Multi-Edge type Low-Density Parity-Check codes (MET-LDPC codes) introduced by Richardson and Urbanke are generalized LDPC codes which can be seen as LDPC codes obtained by concatenating several standard (ir)regular LDPC codes. We prove in this paper that MET-LDPC code ensembles possess a certain symmetry with respect to their Average Coset Weight Distributions (ACWD). Using this symmetry, we drive ACWD of MET-LDPC code ensembles from ACWD of their constituent ensembles.
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Kenta KASAI, Yuji SHIMOYAMA, Tomoharu SHIBUYA, Kohichi SAKANIWA, "Average Coset Weight Distribution of Multi-Edge Type LDPC Code Ensembles" in IEICE TRANSACTIONS on Fundamentals,
vol. E89-A, no. 10, pp. 2519-2525, October 2006, doi: 10.1093/ietfec/e89-a.10.2519.
Abstract: Multi-Edge type Low-Density Parity-Check codes (MET-LDPC codes) introduced by Richardson and Urbanke are generalized LDPC codes which can be seen as LDPC codes obtained by concatenating several standard (ir)regular LDPC codes. We prove in this paper that MET-LDPC code ensembles possess a certain symmetry with respect to their Average Coset Weight Distributions (ACWD). Using this symmetry, we drive ACWD of MET-LDPC code ensembles from ACWD of their constituent ensembles.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e89-a.10.2519/_p
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@ARTICLE{e89-a_10_2519,
author={Kenta KASAI, Yuji SHIMOYAMA, Tomoharu SHIBUYA, Kohichi SAKANIWA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Average Coset Weight Distribution of Multi-Edge Type LDPC Code Ensembles},
year={2006},
volume={E89-A},
number={10},
pages={2519-2525},
abstract={Multi-Edge type Low-Density Parity-Check codes (MET-LDPC codes) introduced by Richardson and Urbanke are generalized LDPC codes which can be seen as LDPC codes obtained by concatenating several standard (ir)regular LDPC codes. We prove in this paper that MET-LDPC code ensembles possess a certain symmetry with respect to their Average Coset Weight Distributions (ACWD). Using this symmetry, we drive ACWD of MET-LDPC code ensembles from ACWD of their constituent ensembles.},
keywords={},
doi={10.1093/ietfec/e89-a.10.2519},
ISSN={1745-1337},
month={October},}
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TY - JOUR
TI - Average Coset Weight Distribution of Multi-Edge Type LDPC Code Ensembles
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2519
EP - 2525
AU - Kenta KASAI
AU - Yuji SHIMOYAMA
AU - Tomoharu SHIBUYA
AU - Kohichi SAKANIWA
PY - 2006
DO - 10.1093/ietfec/e89-a.10.2519
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E89-A
IS - 10
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - October 2006
AB - Multi-Edge type Low-Density Parity-Check codes (MET-LDPC codes) introduced by Richardson and Urbanke are generalized LDPC codes which can be seen as LDPC codes obtained by concatenating several standard (ir)regular LDPC codes. We prove in this paper that MET-LDPC code ensembles possess a certain symmetry with respect to their Average Coset Weight Distributions (ACWD). Using this symmetry, we drive ACWD of MET-LDPC code ensembles from ACWD of their constituent ensembles.
ER -