Quasi-cyclic (QC) low-density parity-check (LDPC) codes have several appealing properties regarding decoding, storage requirements and encoding aspects. In this paper, we focus on the QC LDPC codes over GF(q) whose parity-check matrices have fixed column weight j = 2. By investigating two subgraphs in the Tanner graphs of the corresponding base matrices, we derive two upper bounds on the minimum Hamming distance for this class of codes. In addition, a method is proposed to construct QC LDPC codes over GF(q), which have good Hamming distance distributions. Simulations show that our designed codes have good performance.
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ShuKai HU, Chao CHEN, Rong SUN, XinMei WANG, "Design of Quasi-Cyclic Cycle LDPC Codes over GF(q)" in IEICE TRANSACTIONS on Communications,
vol. E95-B, no. 3, pp. 983-986, March 2012, doi: 10.1587/transcom.E95.B.983.
Abstract: Quasi-cyclic (QC) low-density parity-check (LDPC) codes have several appealing properties regarding decoding, storage requirements and encoding aspects. In this paper, we focus on the QC LDPC codes over GF(q) whose parity-check matrices have fixed column weight j = 2. By investigating two subgraphs in the Tanner graphs of the corresponding base matrices, we derive two upper bounds on the minimum Hamming distance for this class of codes. In addition, a method is proposed to construct QC LDPC codes over GF(q), which have good Hamming distance distributions. Simulations show that our designed codes have good performance.
URL: https://global.ieice.org/en_transactions/communications/10.1587/transcom.E95.B.983/_p
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@ARTICLE{e95-b_3_983,
author={ShuKai HU, Chao CHEN, Rong SUN, XinMei WANG, },
journal={IEICE TRANSACTIONS on Communications},
title={Design of Quasi-Cyclic Cycle LDPC Codes over GF(q)},
year={2012},
volume={E95-B},
number={3},
pages={983-986},
abstract={Quasi-cyclic (QC) low-density parity-check (LDPC) codes have several appealing properties regarding decoding, storage requirements and encoding aspects. In this paper, we focus on the QC LDPC codes over GF(q) whose parity-check matrices have fixed column weight j = 2. By investigating two subgraphs in the Tanner graphs of the corresponding base matrices, we derive two upper bounds on the minimum Hamming distance for this class of codes. In addition, a method is proposed to construct QC LDPC codes over GF(q), which have good Hamming distance distributions. Simulations show that our designed codes have good performance.},
keywords={},
doi={10.1587/transcom.E95.B.983},
ISSN={1745-1345},
month={March},}
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TY - JOUR
TI - Design of Quasi-Cyclic Cycle LDPC Codes over GF(q)
T2 - IEICE TRANSACTIONS on Communications
SP - 983
EP - 986
AU - ShuKai HU
AU - Chao CHEN
AU - Rong SUN
AU - XinMei WANG
PY - 2012
DO - 10.1587/transcom.E95.B.983
JO - IEICE TRANSACTIONS on Communications
SN - 1745-1345
VL - E95-B
IS - 3
JA - IEICE TRANSACTIONS on Communications
Y1 - March 2012
AB - Quasi-cyclic (QC) low-density parity-check (LDPC) codes have several appealing properties regarding decoding, storage requirements and encoding aspects. In this paper, we focus on the QC LDPC codes over GF(q) whose parity-check matrices have fixed column weight j = 2. By investigating two subgraphs in the Tanner graphs of the corresponding base matrices, we derive two upper bounds on the minimum Hamming distance for this class of codes. In addition, a method is proposed to construct QC LDPC codes over GF(q), which have good Hamming distance distributions. Simulations show that our designed codes have good performance.
ER -