Construction of Quasi-Cyclic Low-Density Parity-Check Codes based on Quadratic Residue Codes

被引：1
|
作者：
Li, Yong [1 ]
Yan, Hao [2 ]
Liu, Rui [1 ]
Luo, Zhen [3 ]
Wu, Huihui [4 ]
机构：
[1] Chongqing Univ, Coll Comp Sci, Chongqing 400044, Peoples R China
[2] Univ Michigan, Dept Elect Engn & Comp Sci, Ann Arbor, MI 48109 USA
[3] Chongqing Univ Posts & Telecommun, Sch Commun & Informat Engn, Chongqing 361005, Peoples R China
[4] McGill Univ, Dept Elect & Comp Engn, Montreal, PQ H3A 0E9, Canada
来源：
2021 15TH INTERNATIONAL SYMPOSIUM ON MEDICAL INFORMATION AND COMMUNICATION TECHNOLOGY (ISMICT) | 2021年
关键词：
Quasi-cyclic LDPC; quadratic residue code; check matrix; cycle;
D O I：
10.1109/ISMICT51748.2021.9434943
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
Motivated by the success of constructing quasicyclic low-density parity-check (QC-LDPC) codes based on Reed-Solomon codes, a construction method for QC-LDPC codes is presented in this paper, using the check matrices of quadratic residues codes. Three QC-LDPC codes are obtained by utilizing two quadratic residues codes of lengths less than 100, and the resultant QC-LDPC codes are regular, high-rate and free of length-4 cycles. Simulation results show that the proposed QC-LDPC codes achieves similar performance as the random LDPC codes, but they have less short cycles. In addition, the proposed (279, 158) QC-LDPC code outperforms its counterpart constructed from Reed-Solomon codes at high signal-to-noise ratios.
引用
收藏
页码：157 / 161
页数：5
相关论文
共 50 条
  • [1] On the construction of quasi-cyclic low-density parity-check codes based on girth
    Okamura, T
    [J]. IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2004, E87A (09) : 2432 - 2439
  • [2] Quasi-Cyclic Low-Density Parity-Check Stabilizer Codes
    Shi, Feng
    Yan, Zhiyuan
    [J]. 2012 IEEE MILITARY COMMUNICATIONS CONFERENCE (MILCOM 2012), 2012,
  • [3] Quantum Quasi-Cyclic Low-Density Parity-Check Codes
    Huang, Dazu
    Chen, Zhigang
    Li, Xin
    Guo, Ying
    [J]. EMERGING INTELLIGENT COMPUTING TECHNOLOGY AND APPLICATIONS, PROCEEDINGS, 2009, 5754 : 18 - 27
  • [4] Construction of quasi-cyclic low-density parity-check codes with low encoding complexity
    Xu, Hua
    [J]. INTERNATIONAL JOURNAL OF COMMUNICATION SYSTEMS, 2014, 27 (08) : 1201 - 1216
  • [5] A Construction Method of Doped Low-Density Parity-Check Codes Based on Quadratic Residue Codes
    Li, Yong
    Huang, Xiang
    Zhou, Chuan
    Luo, Zhen
    Wu, Huihui
    [J]. 2021 15TH INTERNATIONAL SYMPOSIUM ON MEDICAL INFORMATION AND COMMUNICATION TECHNOLOGY (ISMICT), 2021, : 221 - 226
  • [6] Quasi-cyclic low-density parity-check codes in the McEliece cryptosystem
    Baldi, Marco
    Chiaraluce, Franco
    Garello, Roberto
    Mininni, Francesco
    [J]. 2007 IEEE INTERNATIONAL CONFERENCE ON COMMUNICATIONS, VOLS 1-14, 2007, : 951 - +
  • [7] Bounds on the Size of Parity-Check Matrices for Quasi-Cyclic Low-Density Parity-Check Codes
    Kim, Kyung-Joong
    Chung, Jin-Ho
    Yang, Kyeongcheol
    [J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 2013, 59 (11) : 7288 - 7298
  • [8] Efficient Encoding of Quasi-Cyclic Low-Density Parity-Check Codes
    Liang, Tingting
    Zhang, Peng
    Liu, Changyin
    Liu, Jin
    [J]. PROCEEDINGS OF 2018 IEEE 3RD ADVANCED INFORMATION TECHNOLOGY, ELECTRONIC AND AUTOMATION CONTROL CONFERENCE (IAEAC 2018), 2018, : 1189 - 1193
  • [9] Construction of Quasi-Cyclic Low-Density Parity-Check Codes Using Hamming Codewords
    Zhong, Haijing
    Zhao, Shancheng
    Chen, Li
    Ma, Xiao
    [J]. 2016 8TH INTERNATIONAL CONFERENCE ON WIRELESS COMMUNICATIONS & SIGNAL PROCESSING (WCSP), 2016,
  • [10] Efficient encoding of quasi-cyclic low-density parity-check codes
    Li, ZW
    Chen, L
    Zeng, LQ
    Lin, S
    Fong, WH
    [J]. IEEE TRANSACTIONS ON COMMUNICATIONS, 2006, 54 (01) : 71 - 81
12345