Weighted Symbol-flipping Decoding for Nonbinary LDPC Codes Based on a New Stopping Criterion

[1] Gallager R G. Low-Density Parity-Check Codes[J].IRE Transactions on Information Theory.1962, 8(1):21-28 [2] Mackay D J C and Neal R M. Near Shannon limit performance of low-density parity-check codes[J].Electronics Letters.1996, 32(18):1645-1646 [3] 陈俊斌. 多进制LDPC码与RS码的性能比较研究[D]. [硕士论文], 厦门大学, 2006. [4] Davey M C and MacKay D. Low-density parity check codes over GF(q)[J].IEEE Communications Letters.1998, 2(6):165-167 [5] Wymeersch H, Steendam H, and Moeneclaey M. Log-domain decoding of LDPC codes over GF(q)[C]. IEEE International Conference on Communications, Paris, France, 2004: 772-776. [6] Barnault L and Declercq D. Fast decoding algorithm for LDPC over GF(2q)[C]. IEEE Information Theory Workshop, Paris, France, 2003: 70-73. [7] Song H and Cruz J R. Reduced-complexity decoding of Q-ary LDPC codes for magnetic recording[J].IEEE Transactions on Magnetics.2003, 39(2):1081-1087 [8] Declercq D and Fossorier M. Decoding algorithms for nonbinary LDPC codes over GF(q)[J].IEEE Transactions on Communications.2007, 55(4):633-643 [9] Sun Y, Zhang Y, Hu J, and Zhang Z. FPGA implementation of nonbinary quasi-cyclic LDPC decoder based on EMS algorithm[C]. International Conference on Communications, Circuits and Systems, Milpitas, California, 2009: 1061-1065. [10] Liu B, Gao J, Dou G, and Tao W. Weighted symbol-flipping decoding for nonbinary LDPC codes[C]. 2nd International Conference on Networks Security, Wireless Communications and Trusted Computing, Wuhan, China, 2010: 223-226. [11] Zhou W, Men A, and Quan Z. Early stopping for the iterative decoding for Q-LDPC[J].The Journal of China Universities of Posts and Telecommunications.2008, 15(1):28-31 [12] Chen X, Men A, and Zhou W. A stopping criterion for nonbinary LDPC codes over GF(q)[C]. 11th IEEE Singapore International Conference on Communication Systems, Guangzhou, China, 2008: 1312-1315. [13] Zeng L, Lan L, Tai Y Y, Song S, Lin S, and Abdel-Ghaffar K. Constructions of nonbinary quasi-cyclic LDPC codes: a finite field approach[J].IEEE Transactions on Communications.2008, 56(4):545-554 [14] Song S, Zhou B, Lin S, and Abdel-Ghaffar K. A unified approach to the construction of binary and nonbinary quasi-cyclic LDPC codes based on finite fields[J].IEEE Transactions on Communications.2009, 57(1):84-93