… 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 …

… 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 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 …

… In this paper we consider binary quasi-cyclic (QC) LDPC codes, with parity-check matrices
which are m × n arrays of circulant permutation matrices (CPMs) of size t × t. These are the …

… Instead this procedure generates a random uniform permutation of the numbers 1 to m . … )
), in fact these algorithms only store the parity check matrix. The IP algorithms on the other hand …

… permutation matrix BN and the n-th Kronecker product of the polarizing matrix G = [1 0 …
Instead of using only CRC to detect wrongly decoded non-frozen bits, we consider a parity check (…

… Motivated by the shortcomings of the work [23] mentioned above, in this paper, we concentrate
on the study of using circulant permutation matrices (CPMs) or the zero matrix (ZM) to …

… 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…

… The parity check matrix (PCM) of a QC-LDPC code consists of an array of circulants. Each
circulant is a square matrix … of circulant permutation matrices (CPMs) or zero matrices, where a …