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Improved combining method for design of quasi-cyclic LDPC codes

Improved combining method for design of quasi-cyclic LDPC codes

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An improved combining method is proposed for constructing quasi-cyclic low-density parity-check (QC-LDPC) codes with large girth and few short cycles. Large girth QC-LDPC codes can be obtained by carefully designing one component code with large girth. By properly designing the other component codes, a lot of QC-LDPC codes with very few short cycles can be designed. Simulations show that compared with Chinese remainder theorem based QC-LDPC codes and progressive edge-growth based QC-LDPC codes, the proposed QC-LDPC codes have much less short cycles and better performance.

References

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      • 7. Li, Z., Kumar, B.V.K.V.: ‘A class of good quasi-cyclic low-density parity check codes based on progressive edge growth graph’. Conf. Record 38th Asilomar Conf. Signals, Systems and Computers, Brest, France, November 2004, pp. 19901994.
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      • 8. Prompakdee, P., Phakphisut, W., Supnithi, P.: ‘Quasi cyclic-LDPC codes based on PEG algorithm with maximized girth property’. Int. Symp. Intelligent Signal Processing and Communication Systems, Chiang Mai, Thailand, December 2011, pp. 14.
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