A Family of Irregular LDPC Codes Based on Optical Orthogonal Codes

Based on the optical orthogonal codes, a method for constructing irregular LDPC (low-density parity check) codes was presented. These LDPC codes are quasi-cyclic codes and can be encoded with low complexity with a linear relationship to code length. These codes haveTanner graphs free of 4-cycles. They performwellwith the sum-product iterative decoding. Comparedwith random codes and regularLDPC codes based on the optical orthogonal codes with similar parameters, they have decoding performance gains respectively about 0.3 and 0.15 dB when bit error rate is 10-5.