Rate adaptive irregular qc-ldpc codes from pairwise balanced designs for ultra-high-speed optical transports

A system for data transport, comprising:

• one or more encoders configured to encode one or more streams of input data using one or more Quasi-Cyclic Low Density Parity Check (QC-LDPC) encoders;
• an irregularity control module configured to control irregularity of the QC-LDPC encoded data while preserving the quasi-cyclic nature of the LDPC encoded data and eliminating the error floor phenomenon;
• one or more decoders configured to partially reconfigure a parity check matrix to adapt one or more code rates;
• one or more mappers configured to generate one or more signals, wherein the output of the mapper is modulated onto a transmission medium;
• a receiver configured to receive the one or more streams of input data;
• and
• decoding the one or more streams of input data using one or more QC-LDPC decoders.