… permutation … paritycheck matrix. It results in a better performance over the noisy channels
while transmitting. In this paper, a kind of permutation is proposed and the parity-check matrix …

… group of permutations on the set {1,...,n}. A permutation matrix represents a permutation of
coordinates, so we can also say that they are permutation equivalent if there is a permutation …

… Seed Matrix In the following design, we consider having a base parity check matrix Hb of …
The graphical correspondence of permutations in definition 2 is that for a variable node V1 …

… matrices in the paritycheck matrix could be circulant permutation matrices, which are circulant
matrices with … We represent an e × e circulant permutation matrix (CPM) as Iε which can be …

… It is no coincidence that the rows of the parity-check matrix are permutations of each other …
the parity-check matrix contains but multiples of 2 and 3. That implies that the one parity-check …

… The present paper introduces Low Rank Parity Check codes and is an extended version
of [21] originally presented at WCC 2013, with important new contributions. We propose an …

… low density parity check codes based on the Hankel matrix and circulant permutation matrices
is … To ensure that parity check bits can be recursively calculated with linear computational …

… The improved RRD (mRRD) combines several BP decoders in parallel, such that each
decoder utilises the same parity-check matrix but different random permutations. In this way, the …

… [\begin {array}{cc} 1 & 0 \\ 1 & 1 \end {array}\right ]\) and B N is the bit-reversal permutation
matrix. The popular decoding algorithms of polar codes are SC algorithm and BP algorithm. …

… in the base matrix A can be eliminated in the parity check matrix H of QC-LDPC coeds by
selecting the shift value P ij of the cyclic permutation matrix. In particular, if the girth of base …