Design of Quasi-Cyclic Cycle LDPC Codes over GF(q)

被引：0
|
作者：
Hu, ShuKai [1 ,2 ]
Chen, Chao [1 ]
Sun, Rong [1 ,2 ]
Wang, XinMei [1 ]
机构：
[1] Xidian Univ, State Key Lab ISN, Xian 710071, Peoples R China
[2] Southeast Univ, Natl Mobile Commun Res Lab, Nanjing 210096, Jiangsu, Peoples R China
来源：
IEICE TRANSACTIONS ON COMMUNICATIONS | 2012年 / E95B卷 / 03期
关键词：
low-density parity-check (LDPC) codes; nonbinary; quasi-cyclic; minimum Hamming distance; fast encoding;
D O I：
10.1587/transcom.E95.B.983
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：
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.
引用
收藏
页码：983 / 986
页数：4
相关论文
共 50 条
  • [1] Design of nonbinary quasi-cyclic LDPC cycle codes
    Peng, Rong-Hui
    Chen, Rong-Rong
    [J]. 2007 IEEE INFORMATION THEORY WORKSHOP, VOLS 1 AND 2, 2007, : 13 - 18
  • [2] A Method for Constructing Parity-Check Matrices of Quasi-Cyclic LDPC Codes Over GF(q)
    S. A. Kruglik
    V. S. Potapova
    A. A. Frolov
    [J]. Journal of Communications Technology and Electronics, 2018, 63 : 1524 - 1529
  • [3] A Method for Constructing Parity-Check Matrices of Quasi-Cyclic LDPC Codes Over GF(q)
    Kruglik, S. A.
    Potapova, V. S.
    Frolov, A. A.
    [J]. JOURNAL OF COMMUNICATIONS TECHNOLOGY AND ELECTRONICS, 2018, 63 (12) : 1524 - 1529
  • [4] A Class of Quasi-Cyclic LDPC Codes over GF(2m)
    Spagnol, Christian
    Marnane, William
    [J]. IEEE TRANSACTIONS ON COMMUNICATIONS, 2009, 57 (09) : 2524 - 2527
  • [5] Construction of Quasi-Cyclic LDPC Cycle Codes over Galois Field GF(q) Based on Cycle Entropy and Application on Patterned Media Storage
    Liu, X.
    Xiong, F.
    Yin, Y.
    [J]. 2015 IEEE MAGNETICS CONFERENCE (INTERMAG), 2015,
  • [6] Design Of Irregular Quasi-Cyclic LDPC Codes
    Hu, Jintao
    Wang, Yongsheng
    Wang, Ding
    Xu, Jiadong
    [J]. 2010 6TH INTERNATIONAL CONFERENCE ON WIRELESS COMMUNICATIONS NETWORKING AND MOBILE COMPUTING (WICOM), 2010,
  • [7] The Analysis of Cycle Structure for A Class of Quasi-Cyclic LDPC Codes
    Lei, Jing
    Wang, Jianhui
    Gao, Yongqiang
    [J]. 2008 11TH IEEE SINGAPORE INTERNATIONAL CONFERENCE ON COMMUNICATION SYSTEMS (ICCS), VOLS 1-3, 2008, : 1307 - 1311
  • [8] Quantum quasi-cyclic LDPC codes
    Hagiwara, Manabu
    Imai, Hideki
    [J]. 2007 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY PROCEEDINGS, VOLS 1-7, 2007, : 806 - +
  • [9] Anti Quasi-Cyclic LDPC Codes
    Gholami, Zahra
    Gholami, Mohammad
    [J]. IEEE COMMUNICATIONS LETTERS, 2018, 22 (06) : 1116 - 1119
  • [10] Design of Quasi-Cyclic LDPC Codes Based on Euclidean Geometries
    Liu, Yuan-Hua
    Wang, Xin-Mei
    Ma, Jian-Hua
    [J]. 2009 INTERNATIONAL CONFERENCE ON ADVANCED INFORMATION NETWORKING AND APPLICATIONS, 2009, : 207 - +
12345