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For any row weight L, a novel class of (8, L) quasi-cyclic low-density parity-check (QC-LDPC) codes is deterministically constructed with girth eight. Compared with a similar construction, the proposed (7, L) and (8, L) QC-LDPC codes exist for any circulant permutation matrix of size P ≥ (L − 1)(L2 + 3L/4 + 3/4) + 1 and P ≥ (L − 1)(L2 + 3L/4 + 7/4) +1, which remarkably improve the existing bounds...
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