Generalised low-density parity-check codes with binary cyclic codes as component codes

Irregular low-density parity-check (LDPC) codes outperform turbo codes for the block length 10⁴ and above. This study introduces generalised LDPC (GLDPC) codes with binary cyclic codes as component codes whose performance is better than that of irregular LDPC codes. The codes are found by optimising degree distributions. The authors also present some simulation results, which show that the codes surpass the irregular LDPC codes.