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- W2531628009 abstract "In this paper, we propose new constructions for regular girth-8 quasi-cyclic low-density parity-check (QC-LDPC) codes based on circulant permutation matrices (CPM). The constructions assume symmetries in the structure of the parity-check matrix and employ a greedy exhaustive search algorithm to find the permutation shifts of the CPMs. As a result of symmetries, the new codes have a more compact representation compared with their counterparts. In majority of cases, also, they achieve the girth 8 at a shorter block length for the same degree distribution (code rate). Deterministic (explicit) constructions are also presented to expand the proposed parity-check matrices to larger block lengths and higher rates. The proposed long high-rate codes are often substantially shorter than regular girth-8 QC-LDPC codes of similar rate in the literature. Simulation results demonstrate that the proposed symmetric codes have competitive performance in comparison with similar existing QC-LDPC codes that lack symmetry." @default.
- W2531628009 created "2016-10-21" @default.
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- W2531628009 date "2016-01-01" @default.
- W2531628009 modified "2023-10-05" @default.
- W2531628009 title "Symmetrical Constructions for Regular Girth-8 QC-LDPC Codes" @default.
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- W2531628009 doi "https://doi.org/10.1109/tcomm.2016.2617335" @default.
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