… the product of an arbitrary number of permutation matrices yields another permutation matrix,
we can conclude that G and G[m] are equivalent up to a column permutation for all m ≥ 1. 2…

… classical LDPC codes whose parity check matrices are designed by the circulant permutation
matrix. Then we give some sufficient conditions on those parity check matrices so that the …

… In [23], Fan gave a condition for the absence of cycles of an arbitrary length in a Tanner
graph of an array code, in terms of a relation among powers of a permutation matrix used as …

… matrices or permutation matrices. An S x S binary permutation matrix is simply the identity
matrix Isxs whose rows (or equivalently columns) are randomly permuted. Hence, a regular (c, …

… propose a simple H parity check matrix from the CPM(circulant permutation matrix), which …
, the calculations of the LDPC(low density parity check) encoding could be simplest. Also we …

… paritycheck matrix of LDPC codes suitable for burst erasures, we permute the columns of
parity-check matrix … proposed column permutation algorithm to obtain a parity-check matrix H of …

… Introduce an explicit column permutation 7rc to generate … parity check matrix for efficient
encoding. Different with that approach, based on the specific structure of the parity check matrix …

… ParityCheck (LDPC) codes. They are derived from Multiple Serially Concatenated Single
Parity-Check … A length-4 cycle exists between any two rows of its paritycheck matrix if they have …

… In the model matrix, the shifted number is shown in the location of a permutation matrix
and a negative number or blank is used in a zero matrix location. …

… in this paper to rearrange the parity check matrix of the code … codes with high density parity
check matrix. Simulation results … Each permuted row causes the adaptation of the parity check …