IEICE TRANSACTIONS on Fundamentals
Structural Analysis of Nonbinary Cyclic and Quasi-Cyclic LDPC Codes with α-Multiplied Parity-Check Matrices
Summary :
In this letter, the structural analysis of nonbinary cyclic and quasi-cyclic (QC) low-density parity-check (LDPC) codes with α-multiplied parity-check matrices (PCMs) is concerned. Using analytical methods, several structural parameters of nonbinary cyclic and QC LDPC codes with α-multiplied PCMs are determined. In particular, some classes of nonbinary LDPC codes constructed from finite fields and finite geometries are shown to have good minimum and stopping distances properties, which may explain to some extent their wonderful decoding performances.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E103-A No.11 pp.1299-1303
- Publication Date
- 2020/11/01
- Publicized
- 2020/05/12
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.2020EAL2031
- Type of Manuscript
- LETTER
- Category
- Coding Theory
Authors
Haiyang LIU
the Institute of Microelectronics of Chinese Academy of Sciences
Hao ZHANG
the Institute of Microelectronics of Chinese Academy of Sciences
Lianrong MA
Tsinghua University
Lingjun KONG
Nanjing University of Posts and Telecommunications
Keyword
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Haiyang LIU, Hao ZHANG, Lianrong MA, Lingjun KONG, "Structural Analysis of Nonbinary Cyclic and Quasi-Cyclic LDPC Codes with α-Multiplied Parity-Check Matrices" in IEICE TRANSACTIONS on Fundamentals,
vol. E103-A, no. 11, pp. 1299-1303, November 2020, doi: 10.1587/transfun.2020EAL2031.
Abstract: In this letter, the structural analysis of nonbinary cyclic and quasi-cyclic (QC) low-density parity-check (LDPC) codes with α-multiplied parity-check matrices (PCMs) is concerned. Using analytical methods, several structural parameters of nonbinary cyclic and QC LDPC codes with α-multiplied PCMs are determined. In particular, some classes of nonbinary LDPC codes constructed from finite fields and finite geometries are shown to have good minimum and stopping distances properties, which may explain to some extent their wonderful decoding performances.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.2020EAL2031/_p
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@ARTICLE{e103-a_11_1299,
author={Haiyang LIU, Hao ZHANG, Lianrong MA, Lingjun KONG, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Structural Analysis of Nonbinary Cyclic and Quasi-Cyclic LDPC Codes with α-Multiplied Parity-Check Matrices},
year={2020},
volume={E103-A},
number={11},
pages={1299-1303},
abstract={In this letter, the structural analysis of nonbinary cyclic and quasi-cyclic (QC) low-density parity-check (LDPC) codes with α-multiplied parity-check matrices (PCMs) is concerned. Using analytical methods, several structural parameters of nonbinary cyclic and QC LDPC codes with α-multiplied PCMs are determined. In particular, some classes of nonbinary LDPC codes constructed from finite fields and finite geometries are shown to have good minimum and stopping distances properties, which may explain to some extent their wonderful decoding performances.},
keywords={},
doi={10.1587/transfun.2020EAL2031},
ISSN={1745-1337},
month={November},}
Copy
TY - JOUR
TI - Structural Analysis of Nonbinary Cyclic and Quasi-Cyclic LDPC Codes with α-Multiplied Parity-Check Matrices
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1299
EP - 1303
AU - Haiyang LIU
AU - Hao ZHANG
AU - Lianrong MA
AU - Lingjun KONG
PY - 2020
DO - 10.1587/transfun.2020EAL2031
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E103-A
IS - 11
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - November 2020
AB - In this letter, the structural analysis of nonbinary cyclic and quasi-cyclic (QC) low-density parity-check (LDPC) codes with α-multiplied parity-check matrices (PCMs) is concerned. Using analytical methods, several structural parameters of nonbinary cyclic and QC LDPC codes with α-multiplied PCMs are determined. In particular, some classes of nonbinary LDPC codes constructed from finite fields and finite geometries are shown to have good minimum and stopping distances properties, which may explain to some extent their wonderful decoding performances.
ER -
English
