1 |
R. G. Gallager, "Low density parity check codes," IEEE Trans. Inf. Theory, vol. IT-8, no. 1, pp. 21-28, Jan. 1962.
|
2 |
D. J. C. MacKay and R. M. Neal, "Near Shannon limit performance of low density parity check codes," IEEE Electron. Lett., vol. 32, no. 18, pp. 1645-1646, Aug. 1996.
DOI
|
3 |
S. Lin and D. J. Costello, Jr., Error Control Coding: Fundamentals Appl., 2nd ed. Englewood Cliffs, NJ: Prentice-Hall, 2004.
|
4 |
T. Richardson, A. Shokrollahi, and R. Urbanke, "Design of capacityapproaching irregular low-density parity-check codes," IEEE Trans. Inf. Theory, vol. 47, pp. 619-637, Feb. 2001.
DOI
|
5 |
S. ten Brink, G. Kramer, and A. Ashikmin, "Detection and decoding of multi-antenna signals with low-density parity-check codes," IEEE Trans. Commun., vol. 52, no. 4, pp. 670-678, Apr. 2004.
DOI
|
6 |
Y. Kou, S. Lin, and M. Fossorier, "Low-density parity-check codes based on finite geometries: A rediscovery and new results," IEEE Trans. Inf. Theory, vol. 47, no. 7, pp. 2711-2736, Nov. 2001.
DOI
|
7 |
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
|
8 |
L. Zeng, L. Lan, Y. Y. Tai, B. Zhou, S. Lin and K. Abdel-Ghaffar, "Construction of nonbinary cyclic, quasi-cyclic and regular LDPC codes: A finite geometry approach," IEEE Trans. Inf. Theory, vol. 56, no. 3, pp. 378-387, Feb. 2008.
|
9 |
Y. Liu, X.Wang and J. Ma, "Design of quasi-cyclic LDPC codes based on Euclidean geometries," in Proc. ANIA, Bradford, United Kingdom, May 26-29, 2009, pp. 207-211.
|
10 |
Q. Huang, S. Lin, and K. Abdel-Ghaffar, "Cyclic and quasi-cyclic LDPC codes on row and column constrained parity-check matrices and their trapping sets," IEEE Trans. Inf. Theory, vol. 58, no. 5, pp. 2648-2671, May 2012.
DOI
|
11 |
X. Jiang, Y. yan, and M. Lee, "Construction of mutiple-rate quasi-cyclic LDPC codes via the hyperplane decomposing," J. Commun. Netw., vol. 12, no. 3, June 2011.
|
12 |
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
|
13 |
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
|
14 |
X. Jiang and M. Lee "Large girth bon-binary LDPC codes based on Euclidean Geometries and finite fields," IEEE Signal Process. Lett., vol. 16, no. 6, June 2009.
|
15 |
X. Jiang and M. Lee, "Large girth quasi-cyclic LDPC codes based on the Chinese remainder theorem," IEEE Commun. Lett., vol. 13, no. 5, pp. 342-344, May 2009.
DOI
|
16 |
S. Myung, K. Yang and Y. Kim, "Lifting methods for quasi-cyclic LDPC codes," IEEE Commun. Lett., vol. 10, no. 6, pp. 489-452, June 2006.
DOI
|
17 |
J. Lu and J. M. F. Moura, "Partition-and-shift LDPC codes," IEEE Trans. Magn., vol. 41, no. 10, pp. 2977-2979, Oct. 2005.
DOI
|
18 |
L. Lan, L. Zeng, Y. Y. Tai, L. Chen, S. Lin, and K. Abdel-Ghaffar, "Construction of qasi-cyclic LDPC codes for AWGN and binary erasure channels: A finite field approach," Trans. Inf. Theory, vol. 53, no. 7, July 2007.
|
19 |
M. Tuechler and J. Hagenauer, "EXIT charts and irregular codes," in Proc. Conf. Inform. Sci. Syst., Princeton, NJ, Mar. 2002, pp. 748-753.
|
20 |
S. ten Brink, "Convergence behavior of iteratively decoded parallel concatenated codes," IEEE Trans. Commun., vol. 49, pp. 1727-1737, Oct. 2001.
DOI
|
21 |
C. Di, T. J. Richardson and R. L. Urbanke, "Weight distribution of lowdensity parity-check codes," IEEE Trans. Inf. Theory, vol. 52, no. 11, pp. 4839-4855, Nov. 2006.
DOI
|
22 |
W. Weng, A. Ramamoorthy, and R. Wesel, "Lowering the error floors of irregular high-rate LDPC codes by graph conditioning," in Proc. VTC, Los Angeles, CA, Sept. 2004.
|