FELDMAN J, WAINWRIGHT M J, and KARGER D R. Using linear programming to decode binary linear codes[J]. IEEE Transactions on Information Theory, 2005, 51(3): 954-972. doi: 10.1109/TIT.2004.842696.
|
CHILAPPAGARI S K, CHERTKOV M, and VASIC B. An efficient instanton search algorithm for LP decoding of LDPC codes over the BSC[J]. IEEE Transactions on Information Theory, 2011, 57(7): 4417-4426. doi: 10.1109/TIT.2011. 2146670.
|
BURSHTEIN D and GOLDENBERG I. Improved linear programming decoding of LDPC codes and bounds on the minimum and fractional distance[J]. IEEE Transactions on Information Theory, 2011, 57(11): 7386-7402. doi: 10.1109/ TIT.2011.2162224.
|
FELDMAN J, MALKIN T, SERVEDIO R A, et al. LP decoding corrects a constant fraction of errors[J]. IEEE Transactions on Information Theory, 2007, 53(1): 82-89. doi: 10.1109/TIT.2006.887523.
|
BAZZI L, GHAZI B, and URBANKE R L. Linear programming decoding of spatially coupled codes[J]. IEEE Transactions on Information Theory, 2014, 60(8): 4677-4698. doi: 10.1109/TIT.2014.2325903.
|
BARMAN S, LIU Xishuo, DRAPER S C, et al. Decomposition methods for large scale LP decoding[J]. IEEE Transactions on Information Theory, 2013, 59(12): 7870-7886.
|
WEI Haoyuan, JIAO Xiaopeng, and MU Jianjun. Reduced- complexity linear programming decoding based on ADMM for LDPC codes[J]. IEEE Communication Letters, 2015, 19(6): 909-912. doi: 10.1109/LCOMM.2015.2418261.
|
JIAO Xiaopeng, MU Jianjun, HE Yucheng, et al. Efficient ADMM decoding of LDPC codes using look-up tables[J]. IEEE Transactions on Communications, 2017, 19(4): 271-285. doi: 10.1109/TCOMM.2017.2659733.
|
DEBBABI I, GAL B L, KHOUJA N, et al. Fast converging ADMM penalized algorithm for LDPC decoding[J]. IEEE Communication Letters, 2016, 20(4): 648-651. doi: 10.1109 /LCOMM.2016.2531040.
|
DEBBABI I, GAL B L, KHOUJA N, et al. Comparison of different schedulings for the ADMM based LDPC decoding[J]. International Symposium on Turbo Codes Iterative Information Processing, 2016, 20(4): 51-55. doi: 10.1109/ ISTC.2016.7593075.
|
LIU Xishuo and DRAPER S C. The ADMM penalized decoder for LDPC codes[J]. IEEE Transactions on Information Theory, 2016, 62(6): 2966-2984. doi: 10.1109/ TIT.2016.2555847.
|
LIU Xishuo. ADMM decoding of LDPC and multipermutation codes: from geometries to algorithms[D]. [Ph.D. dissertation], University of Wisconsin, 2015.
|
JIAO Xiaopeng, WEI Haoyuan, and MU Jianjun. Improved ADMM penalized decoder for irregular low-density parity-check codes[J]. IEEE Communication Letters, 2015, 19(6): 913-916. doi: 10.1109/LCOMM.2015.2421445.
|
WANG Biao, MU Jianjun, JIAO Xiaopeng, et al. Improved penalty functions of ADMM decoder for LDPC codes[J]. IEEE Communication Letters, 2016, 21(99): 234-237. doi: 10.1109/LCOMM.2016.2627575.
|
WASSON M and DRAPER S C. Hardware based projection onto the parity polytope and probability simplex[C]. IEEE Asilomar Conference on Signals, Systems and Computers, Pacific Grove, CA, USA, 2015: 1015-1020.
|
ZHANG Xiaojie and SIEGEL P H. Adaptive cut generation algorithm for improved linear programming decoding of binary linear codes[J]. IEEE Transactions on Information Theory, 2012, 58(10): 6581-6594. doi: 10.1109/TIT.2012. 2204955.
|
STORN R and PRICE K. Differential evolution-a simple and efficient heuristic for global optimization over continuous spaces[J]. Journal of Global Optimization, 1997, 11(4): 341-359. doi: 10.1023/A:1008202821328.
|