Title :
Quasicyclic codes from a finite affine plane
Author :
Kamiya, Norifumi ; Fossorier, Marc P C
Author_Institution :
Internet Syst. Res. Lab., NEC Corp., Kanagawa, Japan
fDate :
29 June-4 July 2003
Abstract :
In this paper, we investigate the properties of the point-line incidence matrix of a finite affine plane and present a construction of quasicyclic LDPC codes based on submatrices of the incidence matrix. The codes from the point-line incidence matrices of the affine and projective geometries perform very well with iterative decoding algorithms for low-density parity-check (LDPC) codes.
Keywords :
cyclic codes; iterative decoding; matrix algebra; parity check codes; finite affine plane; iterative decoding algorithm; low-density parity-check; point-line incidence matrix; projective geometry; quasicyclic LDPC code; submatrice; Electronic mail; Error correction codes; Galois fields; Geometry; Internet; Iterative algorithms; Iterative decoding; Laboratories; National electric code; Parity check codes;
Conference_Titel :
Information Theory, 2003. Proceedings. IEEE International Symposium on
Print_ISBN :
0-7803-7728-1
DOI :
10.1109/ISIT.2003.1228071
