Journal of Algebraic Systems (Jan 2021)

ON THE CLASS OF ARRAY-BASED APM-LDPC CODES

  • A. Nassaj,
  • A. R. Naghipour

DOI
https://doi.org/10.22044/jas.2020.8875.1431
Journal volume & issue
Vol. 8, no. 2
pp. 291 – 301

Abstract

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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.

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