Construction of Girth-Twelve Column-Weight QC-LDPC Codes with Program Implementation

This program constructs quasi-cyclic low-density parity-check (QC-LDPC) codes with girth twelve and specified column weight. The code rate can be adjusted by modifying the row weight parameter (k), while the code size is controlled through the sub-matrix dimension parameter (m). The implementation involves combinatorial optimization algorithms and careful matrix construction to maintain the required girth properties.