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".
Copyrights notice
The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
본 논문에서는 GF(2)에 정의된 비이진 저밀도 패리티 검사 코드의 앙상블에 대한 평균 기호 및 비트 가중치 분포를 연구합니다.p). 또한, 우리는 큰 코드 길이의 한계에서 가중치 분포의 점근적 지수 증가율을 유도합니다. 흥미롭게도 정규화된 일반적인 최소 거리는 필드 크기에 따라 단조롭게 증가하지 않는다는 것을 보여줍니다.
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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},}
부
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 -