Improved progressive-edge-growth (PEG) construction of irregular LDPC codes

The progressive-edge-growth (PEG) algorithm (X.-Y. Hu et al., 2001; 2002) is known to construct low-density parity-check codes at finite block lengths with very good performance. We propose a very simple modification to the PEG construction for irregular codes, which considerably improves the performance at high signal-to-noise ratios (SNR) with no sacrifice in low-SNR performance.