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A combining method of quasi-cyclic LDPC codes by the Chinese remainder theorem

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2 Author(s)
Seho Myung ; Dept. of Electron. & Electr. Eng., Pohang Univ. of Sci. & Technol., South Korea ; Kyeongcheol Yang

In this paper we propose a method of constructing quasi-cyclic low-density parity-check (QC-LDPC) codes of large length by combining QC-LDPC codes of small length as their component codes, via the Chinese remainder theorem. The girth of the QC-LDPC codes obtained by the proposed method is always larger than or equal to that of each component code. By applying the method to array codes, we present a family of high-rate regular QC-LDPC codes with no 4-cycles. Simulation results show that they have almost the same performance as random regular LDPC codes.

Published in:

Communications Letters, IEEE  (Volume:9 ,  Issue: 9 )