Title
Construction of Partial Geometries and LDPC codes based on Reed-Solomon Codes
Abstract
This paper presents a construction of a class of partial geometries based on RS codes of prime lengths and shows that LDPC codes constructed based on Reed-Solomon codes of prime lengths are finite geometry LDPC codes. Furthermore, a new method for design and construction of nonbinary quasi-cyclic LDPC codes based on the conventional parity-check matrices of Reed-Solomon codes is presented. Simulation results show that the constructed nonbinary LDPC codes perform well over the additive white Gaussian channel.
Year
DOI
Venue
2019
10.1109/ISIT.2019.8849677
2019 IEEE International Symposium on Information Theory (ISIT)
Keywords
Field
DocType
RS codes,Reed-Solomon codes,finite geometry LDPC codes,constructed nonbinary LDPC codes,nonbinary quasicyclic LDPC codes,partial geometry construction,parity-check matrices,additive white Gaussian channel
Prime (order theory),Discrete mathematics,Matrix (mathematics),Low-density parity-check code,Computer science,Additive white gaussian channel,Reed–Solomon error correction,Finite geometry
Conference
ISSN
ISBN
Citations 
2157-8095
978-1-5386-9292-9
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Juane Li100.34
Keke Liu200.34
S. Lin31280124.59
Khaled A. S. Abdel-Ghaffar4616122.03