Document Type: Original Manuscript

Authors

1 Mathematics, Sharekord University, Sharekord, Iran

2 Faculty of Methematical Sciences Shahrekord University, Shahrekord, Iran

10.22044/jas.2020.8875.1431

Abstract

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.

Keywords