… 0 1) integers suffice to entirely specify the code. In this correspondence, we derive a simple
… QC LDPC codes to have a given girth. In fact, we show that these QC LDPC codes have a …

… based on Tensor product of matrices. In this paper, first a general construction method of
regular LDPC codes exploiting permutation matrices is described. Constructed codes have a …

… LDPC codes obtained in this method is always larger than or equal to those of given APM-LDPC
codes. … function matrix for an APM-LDPC code of large length by combining the function …

… of LDPC codes via parity check matrices and Tanner graphs. Classification of LDPC … I
is the pxp identity matrix, O the pxp null matrix, and aapxp permutation matrix representing …

… of structured LDPC codes whose parity check matrices are arrays of permutation matrices. …
In [9], the authors give a general algebraic construction of QC-LDPC codes based on a one-to-…

… Permutation matrices refer to the square matrices with one 1 in each row and one 1 in each
column. Permutation matrices based LDPC parity check matrix … Each permutation matrix can …

… We show that the girth of a QC-LDPC code is upper-bounded by a certain number which is
… permutation matrices. The B-LDPC codes are constructed as irregular QC-LDPC codes with …

… LDPC codes from circulant permutation matrices have some important limiting factors; the
girth of the graph is at most 12 [21] and the minimum Hamming distance of the LDPC code is …

… LDPC code lifted from the base matrix B and circulant permutation matrix (CPM) of size m,
we mean the code with the parity-check matrix constructed by replacing the zero and non-zero …

… Hence, we can obtain an irregular LDPC code with parity-check matrix given by … matrices
constructed by using nonoverlapping permutation matrices that commute with each other, as is …