ON THE CLASS OF ARRAY-BASED APM-LDPC CODES

ON THE CLASS OF ARRAY-BASED APM-LDPC CODES

We construct an explicit class of affine permutation matrix low-density parity-check (APM-LDPC) codes based on the array parity-check matrix by using two affine maps f (x) = x-1 and g(x) = 2x-1 on Z_m, where m is an odd prime number, with girth 6 and flexible row (column)-weights. Simulation results...

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Veröffentlicht in:Journal of algebraic systems 2021-01, Vol.8 (2), p.291-301
Hauptverfasser: A. Nassaj, A. R. Naghipour
Format: Artikel
Sprache:eng
Schlagworte:
apm-ldpc code
array-ldpc code
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Zusammenfassung:We construct an explicit class of affine permutation matrix low-density parity-check (APM-LDPC) codes based on the array parity-check matrix by using two affine maps f (x) = x-1 and g(x) = 2x-1 on Z_m, where m is an odd prime number, with girth 6 and flexible row (column)-weights. Simulation results justify well performance, minimum-distances and cycle distribution of these codes in comparison the array-LDPC , structured QC-LDPC and APM-LDPC.
ISSN:2345-5128
2345-511X
DOI:10.22044/jas.2020.8875.1431