The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
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The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
Neste artigo, estudamos as distribuições médias de símbolos e pesos de bits para conjuntos de códigos de verificação de paridade não binários de baixa densidade definidos em GF(2p). Além disso, derivamos a taxa de crescimento exponencial assintótica das distribuições de peso no limite de grande comprimento de código. Curiosamente, mostramos que a distância mínima típica normalizada não aumenta monotonicamente com o tamanho do campo.
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Kenta KASAI, Charly POULLIAT, David DECLERCQ, Kohichi SAKANIWA, "Weight Distributions of Non-binary LDPC Codes" in IEICE TRANSACTIONS on Fundamentals,
vol. E94-A, no. 4, pp. 1106-1115, April 2011, doi: 10.1587/transfun.E94.A.1106.
Abstract: In this paper, we study the average symbol and bit-weight distributions for ensembles of non-binary low-density parity-check codes defined on GF(2p). Moreover, we derive the asymptotic exponential growth rate of the weight distributions in the limit of large codelength. Interestingly, we show that the normalized typical minimum distance does not monotonically increase with the size of the field.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E94.A.1106/_p
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@ARTICLE{e94-a_4_1106,
author={Kenta KASAI, Charly POULLIAT, David DECLERCQ, Kohichi SAKANIWA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Weight Distributions of Non-binary LDPC Codes},
year={2011},
volume={E94-A},
number={4},
pages={1106-1115},
abstract={In this paper, we study the average symbol and bit-weight distributions for ensembles of non-binary low-density parity-check codes defined on GF(2p). Moreover, we derive the asymptotic exponential growth rate of the weight distributions in the limit of large codelength. Interestingly, we show that the normalized typical minimum distance does not monotonically increase with the size of the field.},
keywords={},
doi={10.1587/transfun.E94.A.1106},
ISSN={1745-1337},
month={April},}
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TY - JOUR
TI - Weight Distributions of Non-binary LDPC Codes
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1106
EP - 1115
AU - Kenta KASAI
AU - Charly POULLIAT
AU - David DECLERCQ
AU - Kohichi SAKANIWA
PY - 2011
DO - 10.1587/transfun.E94.A.1106
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E94-A
IS - 4
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - April 2011
AB - In this paper, we study the average symbol and bit-weight distributions for ensembles of non-binary low-density parity-check codes defined on GF(2p). Moreover, we derive the asymptotic exponential growth rate of the weight distributions in the limit of large codelength. Interestingly, we show that the normalized typical minimum distance does not monotonically increase with the size of the field.
ER -