Quasicyclic low density parity check codes

M Fossorier - IEEE International Symposium on Information …, 2003 - ieeexplore.ieee.org
In this work, the construction of low density parity check codes (LDPCs) from circulant
permutation matrices is investigated. It is shown that such codes can not have a Tanner …

Quasicyclic low-density parity-check codes from circulant permutation matrices

MPC Fossorier - IEEE transactions on information theory, 2004 - ieeexplore.ieee.org
In this correspondence, the construction of low-density parity-check (LDPC) codes from
circulant permutation matrices is investigated. It is shown that such codes cannot have a …

A combinatoric superposition method for constructing low density parity check codes

J Xu, S Lin - IEEE International Symposium on Information …, 2003 - ieeexplore.ieee.org
This paper presents a combinatoric method for constructing low density parity check (LDPC)
codes. Two classes of LDPC codes are constructed and they perform well with iterative …

Construction of good LDPC codes using dilation matrices

M Greferath, ME O'Sullivan… - … Theory, 2004. ISIT …, 2004 - ieeexplore.ieee.org
A new method is given to construct low-density parity check codes the graphs of which are of
designed girth. We give examples to illustrate the new method, and also present …

Generalized construction of quasi-cyclic regular LDPC codes based on permutation matrices

E Gabidulin, A Moinian, B Honary - 2006 IEEE International …, 2006 - ieeexplore.ieee.org
A new approach is proposed for constructing regular low-density parity-check (LDPC) codes
based on tensor product of matrices. In this paper, first a general construction method of …

Design of quasi‐cyclic low‐density parity check codes with large girth

LJ Jing, JL Lin, WL Zhu - ETRI journal, 2007 - Wiley Online Library
In this paper we propose a graph‐theoretic method based on linear congruence for
constructing low‐density parity check (LDPC) codes. In this method, we design a connection …

A transform approach for analyzing and constructing quasi-cyclic low-density parity-check codes

Q Diao, Q Huang, S Lin… - 2011 Information Theory …, 2011 - ieeexplore.ieee.org
An approach for studying quasi-cyclic codes based on matrix transformations via Fourier
transforms and row and column permutations is presented. These transformations put a …

Quasi-cyclic LDPC codes based on pre-lifted protographs

DGM Mitchell, R Smarandache… - IEEE Transactions on …, 2014 - ieeexplore.ieee.org
Quasi-cyclic low-density parity-check (QC-LDPC) codes based on protographs are of great
interest to code designers because analysis and implementation are facilitated by the …

Bounds on the size of parity-check matrices for quasi-cyclic low-density parity-check codes

KJ Kim, JH Chung, K Yang - IEEE transactions on information …, 2013 - ieeexplore.ieee.org
In this paper, we investigate the cycle properties of quasi-cyclic low-density parity-check (QC-
LDPC) codes. Using the sequence representation of a parity-check matrix for a QC-LDPC …

Cycle analysis and construction of protographs for QC LDPC codes with girth larger than 12

S Kim, JS No, H Chung, DJ Shin - 2007 IEEE International …, 2007 - ieeexplore.ieee.org
A quasi-cyclic (QC) low-density parity-check (LDPC) code can be viewed as the protograph
code with circulant permutation matrices. In this paper, we find all the subgraph patterns of …