Title
On the Tanner Graph Cycle Distribution of Random LDPC, Random Protograph-Based LDPC, and Random Quasi-Cyclic LDPC Code Ensembles.
Abstract
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) LDPC codes. We prove that for a random bipartite graph, with a given (irregular) degree distribution, the distributions of cycles of different length tend to independent Poisson distributions, as the size of the graph tends to...
Year
DOI
Venue
2018
10.1109/TIT.2018.2805906
IEEE Transactions on Information Theory
Keywords
DocType
Volume
Parity check codes,Bipartite graph,Symmetric matrices,Algorithm design and analysis,Complexity theory,Random variables,Indexes
Journal
64
Issue
ISSN
Citations 
6
0018-9448
7
PageRank 
References 
Authors
0.59
15
2
Name
Order
Citations
PageRank
Ali Dehghan14613.15
Amir H. Banihashemi249054.61