Algebraic Constructions of Quasi-Cyclic LDPC Codes Based on Prime Fields

被引:0
|
作者
Zhang, Rui [1 ]
Kang, Guixia [1 ]
Zhang, Ningbo [1 ]
Liu, Xiaoshuang [1 ]
Wu, Hao [2 ]
机构
[1] Beijing Univ Posts & Telecommun, Key Lab Univ Wireless Commun, Beijing 100876, Peoples R China
[2] TGLD Informat Ctr, Beijing 100876, Peoples R China
关键词
Array dispersion; base matrix; circulant permutation matrix (CPM); LDPC codes; quasi-cyclic codes; PARITY-CHECK CODES;
D O I
暂无
中图分类号
TN [电子技术、通信技术];
学科分类号
0809 ;
摘要
On dispersing different base matrices combined with masking, different kinds of quasi-cyclic low-density parity-check (QC-LDPC) codes are constructed, which may achieve good error performances. Two new algebraic constructions of regular QC-LDPC codes are presented in this paper. The two constructions are based on two base matrices by dispersing and masking. The two base matrices are based on the generators of the cyclic group of a prime field. Results show that the two classes of codes presented in this paper perform well with iterative decoding over AWGN channel and have advantages over MacKay codes in some aspects of code performances. We find that one of the constructed codes converges very fast with iterative decoding, which is a critical property in ultra-high throughput communication systems.
引用
收藏
页数:5
相关论文
共 50 条
  • [1] Algebraic Constructions of Quasi-Cyclic LDPC Codes Based on Generators
    Zhang, Ningbo
    Zhang, Rui
    Kang, Guixia
    Guo, Yanyan
    [J]. 2015 9TH INTERNATIONAL CONFERENCE ON SIGNAL PROCESSING AND COMMUNICATION SYSTEMS (ICSPCS), 2015,
  • [2] Algebraic constructions of nonbinary quasi-cyclic LDPC codes
    Song, Shumei
    Zeng, Lingqi
    Lin, Shu
    Abdel-Ghaffar, Khaled
    [J]. 2006 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY, VOLS 1-6, PROCEEDINGS, 2006, : 83 - +
  • [3] Algebraic constructions of nonbinary quasi-cyclic LDPC codes
    Lin, Shu
    Song, Shumei
    Tai, Ying Y.
    Lan, Lan
    Zeng, Lingqi
    [J]. 2006 INTERNATIONAL CONFERENCE ON COMMUNICATIONS, CIRCUITS AND SYSTEMS PROCEEDINGS, VOLS 1-4: VOL 1: SIGNAL PROCESSING, 2006, : 1303 - +
  • [4] Construction of quasi-cyclic LDPC codes from prime fields
    Lin, Guo-Qing
    Chen, Ru-Wei
    Wang, Xin-Mei
    Xiao, Guo-Zhen
    [J]. Dianzi Yu Xinxi Xuebao/Journal of Electronics and Information Technology, 2010, 32 (03): : 609 - 612
  • [5] Quasi-Cyclic LDPC Codes: An Algebraic Construction
    Kang, Jingyu
    Huang, Qin
    Zhang, Li
    Zhou, Bo
    Lin, Shu
    [J]. IEEE TRANSACTIONS ON COMMUNICATIONS, 2010, 58 (05) : 1383 - 1396
  • [6] On graph constructions for LDPC codes by quasi-cyclic extension
    Tanner, RM
    [J]. INFORMATION, CODING AND MATHEMATICS, 2002, 687 : 209 - 220
  • [7] Quasi-Cyclic LDPC Codes on Cyclic Subgroups of Finite Fields
    Zhang, Li
    Lin, Shu
    Abdel-Ghaffar, Khaled
    Ding, Zhi
    Zhou, Bo
    [J]. IEEE TRANSACTIONS ON COMMUNICATIONS, 2011, 59 (09) : 2330 - 2336
  • [8] An Algebraic Construction of Quasi-Cyclic LDPC Codes Based on the Conjugates of Primitive Elements over Finite Fields
    Asif, Muhammad
    Zhou, Wuyang
    Ally, Juma Saidi
    Khan, Nauman Ali
    Akhtar, Zain ul Abiden
    [J]. 2018 IEEE 18TH INTERNATIONAL CONFERENCE ON COMMUNICATION TECHNOLOGY (ICCT), 2018, : 115 - 119
  • [9] Constructions of nonbinary quasi-cyclic LDPC codes: A finite field approach
    Zeng, Lingqi
    Lan, Lan
    Tai, Ying Y.
    Song, Shumei
    Lin, Shu
    Abdel-Ghaffar, Khaled
    [J]. IEEE TRANSACTIONS ON COMMUNICATIONS, 2008, 56 (04) : 545 - 554
  • [10] Constructions of quasi-cyclic LDPC codes for the AWGN and binary erasure channels based on finite fields and affine mappings
    Lan, L
    Zeng, LQ
    Tai, YY
    Lin, S
    Abdel-Ghaffar, K
    [J]. 2005 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT), VOLS 1 AND 2, 2005, : 2285 - 2289