On the Tanner graph cycle distribution of random LDPC, random protograph-based LDPC, and random quasi-cyclic LDPC code ensembles
A Dehghan, AH Banihashemi - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
In this paper, we study the cycle distribution of random low-density parity-check (LDPC)
codes, randomly constructed protograph-based LDPC codes, and random quasicyclic (QC) …
codes, randomly constructed protograph-based LDPC codes, and random quasicyclic (QC) …
Minimum pseudoweight and minimum pseudocodewords of LDPC codes
ST Xia, FW Fu - IEEE transactions on information theory, 2008 - ieeexplore.ieee.org
In this correspondence, we study the minimum pseudoweight and minimum
pseudocodewords of low-density parity-check (LDPC) codes under linear programming (LP) …
pseudocodewords of low-density parity-check (LDPC) codes under linear programming (LP) …
LDPC codes based on latin squares: Cycle structure, stopping set, and trapping set analysis
S Laendner, O Milenkovic - IEEE Transactions on …, 2007 - ieeexplore.ieee.org
It is well known that certain combinatorial structures in the Tanner graph of a low-density
parity-check (LDPC) code exhibit a strong influence on its performance under iterative …
parity-check (LDPC) code exhibit a strong influence on its performance under iterative …
A class of good quasi-cyclic low-density parity check codes based on progressive edge growth graph
Z Li, BVKV Kumar - Conference Record of the Thirty-Eighth …, 2004 - ieeexplore.ieee.org
We present a new class of quasi-cyclic low density parity check (QC-LDPC) codes, whose
quasi-cyclic nature makes them attractive for implementation. Both regular and irregular QC …
quasi-cyclic nature makes them attractive for implementation. Both regular and irregular QC …
Construction of irregular LDPC codes by quasi-cyclic extension
In this correspondence, we propose an approach to construct irregular low-density parity-
check (LDPC) codes based on quasi-cyclic extension. When decoded iteratively, the …
check (LDPC) codes based on quasi-cyclic extension. When decoded iteratively, the …
[PDF][PDF] Low-density parity-check (LDPC) codes constructed from protographs
J Thorpe - IPN progress report, 2003 - Citeseer
We introduce a new class of low-density parity-check (LDPC) codes constructed from a
template called a protograph. The protograph serves as a blueprint for constructing LDPC …
template called a protograph. The protograph serves as a blueprint for constructing LDPC …
Design of non binary LDPC codes using their binary image: algebraic properties
C Poulliat, M Fossorier… - 2006 IEEE International …, 2006 - ieeexplore.ieee.org
In this paper, we develop algebraic properties of regular (2, tr, N) non binary LDPC codes
designed using their binary image. First, we characterize the algebraic properties of …
designed using their binary image. First, we characterize the algebraic properties of …
Low-density parity-check codes and their rateless relatives
This survey guides the reader through the extensive open literature that is covering the
family of low-density parity-check LDPC codes and their rateless relatives. In doing so, we …
family of low-density parity-check LDPC codes and their rateless relatives. In doing so, we …
On circulant low density parity check codes
Y Kou, J Xu, H Tang, S Lin… - … on Information Theory,, 2002 - ieeexplore.ieee.org
On circulant low density parity check codes Page 1 ISlT 2002, Lausanne, Switzerland, June
30 -July 5,2002 On Circulant Low Density Parity Check Codes Yu Kou, Jun Xu, Heng Tang …
30 -July 5,2002 On Circulant Low Density Parity Check Codes Yu Kou, Jun Xu, Heng Tang …
Spectral graphs for quasi-cyclic LDPC codes
RM Tanner - … Symposium on Information Theory (IEEE Cat. No …, 2001 - ieeexplore.ieee.org
Quasi-cyclic codes are described in terms of code equations on the spectral components of
constituent cyclic codes. These define a constraint graph in the spectral domain. Here …
constituent cyclic codes. These define a constraint graph in the spectral domain. Here …