DocumentCode
3512866
Title
A simple method to construct LDPC codes based on projective planes
Author
Kovalev, Sergei ; Krachkovsky, Victor Y.
Author_Institution
Dept. of Inf. Syst., State Univ. on Aerosp. Instrum., St. Petersburg, Russia
fYear
2011
fDate
July 31 2011-Aug. 5 2011
Firstpage
737
Lastpage
741
Abstract
We consider a simple description of the incidence matrix of a projective plane over the field GF(q), using multiplication and addition tables of the finite field. Some basic properties of LDPC codes derived from such incidence matrices are discussed. Further, a class of LDPC codes of paper [1], derived from Reed-Solomon (RS) codes with two information symbols, is considered. By comparing these two classes, we give a simple equivalence proof for them.
Keywords
Galois fields; Reed-Solomon codes; matrix algebra; parity check codes; LDPC codes; Reed-Solomon codes; addition tables; field GF; finite field; incidence matrix; multiplication tables; projective planes; Lead; LDPC codes; Reed-Solomon codes; circulant matrices; finite projective planes;
fLanguage
English
Publisher
ieee
Conference_Titel
Information Theory Proceedings (ISIT), 2011 IEEE International Symposium on
Conference_Location
St. Petersburg
ISSN
2157-8095
Print_ISBN
978-1-4577-0596-0
Electronic_ISBN
2157-8095
Type
conf
DOI
10.1109/ISIT.2011.6034231
Filename
6034231
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