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.
Nassaj, A., & Naghipour, A. R. (2021). ON THE CLASS OF ARRAY-BASED APM-LDPC CODES. Journal of Algebraic Systems, 8(2), 291-301. doi: 10.22044/jas.2020.8875.1431
MLA
A. Nassaj; A. R. Naghipour. "ON THE CLASS OF ARRAY-BASED APM-LDPC CODES", Journal of Algebraic Systems, 8, 2, 2021, 291-301. doi: 10.22044/jas.2020.8875.1431
HARVARD
Nassaj, A., Naghipour, A. R. (2021). 'ON THE CLASS OF ARRAY-BASED APM-LDPC CODES', Journal of Algebraic Systems, 8(2), pp. 291-301. doi: 10.22044/jas.2020.8875.1431
VANCOUVER
Nassaj, A., Naghipour, A. R. ON THE CLASS OF ARRAY-BASED APM-LDPC CODES. Journal of Algebraic Systems, 2021; 8(2): 291-301. doi: 10.22044/jas.2020.8875.1431
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