I am looking for a parity check matrix $H\in \{0,1\}^{m\times n}$ ($m<n$), with the maximum number of 1's in each column with girth greater than or equal to $6$. I have come across array codes that are of girth $6$, but I am not satisfied with the number of 1's in each column. I would like the number of 1's to be higher than array codes. Does anybody know such a construction of parity check matrices?
2026-03-11 12:46:00.1773233160
What kind of Parity Check Matrices have maximum number of 1's in each column with girth greater than or equal to 6?
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