Browse > Article

Quasi-Cyclic Low-Density Parity-Check Codes with Large Girth Based on Euclidean Geometries  

Lee, Mi-Sung (Chonbuk National University)
Jiang, Xueqin (Donghua University)
Lee, Moon-Ho (Chonbuk National University)
Publication Information
Journal of the Institute of Electronics Engineers of Korea TC / v.47, no.11, 2010 , pp. 36-42 More about this Journal
Abstract
This paper presents a hybrid approach to the construction of quasi-cyclic (QC) low-density parity-check (LDPC) codes based on parallel bundles in Euclidean geometries and circulant permutation matrices. Codes constructed by this method are shown to be regular with large girth and low density. Simulation results show that these codes perform very well with iterative decoding and achieve reasonably large coding gains over uncoded system.
Keywords
QC LDPC codes; Euclidean geometry; lines; points; circulant permutation matrices;
Citations & Related Records
연도 인용수 순위
  • Reference
1 H. Tang, J. Xu, Y. Kou, S. Lin and K. Abdel-Ghaffar, "On Algebraic Construction of Gallager and Circulant Low-Density Parity-Check Codes," IEEE Trans. Inf. Theory, vol. 50. no. 6, pp, 1269-1279, June. 2004.   DOI   ScienceOn
2 M. P. C. Fossorier, "Quasi-cyclic low-density parity-check codes from circulant permutation matrices," IEEE Trans. Inf. Theory, vol. 50, no. 8, pp, 1788-1793, Aug. 2004.   DOI   ScienceOn
3 S. Myung, K. Yang, and J. Kim, "Quasi-Cyclic LDPC codes for fast encoding," IEEE Trans. Inf.Theory, vol. 51, no. 8, pp. 2894-2901, Aug 2005.   DOI   ScienceOn
4 S. Lin and D. J. Costello, Jr., Error Control coding: Fundamentals and Applications, 2nd ed. Englewood Cliffs, NJ: Prentice-Hall, 2004.
5 L. lan, L. Zeng, Y. Y. Tai, L. Chen, S. Lin and K. Abdel-Ghaffar, "Construction of Quasi-Cyclic LDPC Codes for AWGN and Binary Erasure Channels: A Finite Field Approach," IEEE Trans. Inf. Theory, vol. 53. no. 7, pp, 2429-2458, July.2007.   DOI
6 H. Tang, J. Xu, S. Lin and K. Abdel-Ghaffar, "Codes on Finite Geometries," IEEE Trans. Inf. Theory, vol. 51. no. 2, pp, 572-596, Feb.2005.   DOI   ScienceOn
7 S. Lin, S. Song, Y. Y. Tai, L. Lan and L. Zeng "Algebraic Constructions of Nonbinary Quasi-Cyclic LDPC Codes," Communications, Circuits and Systems Proceedings, vol. 2, pp,1303-1308, 25-28 June 2006.