Title :
Quasicyclic low-density parity check codes
Author :
Vasic, Bane ; Djordjevic, Ivan B.
Author_Institution :
Dept. of Electr. & Comput. Eng., Arizona Univ., Tucson, AZ, USA
Abstract :
This paper introduces a combinatorial construction of regular low-density parity check (LDPC) codes based on balanced incomplete block designs, or more specifically on cyclic difference families of Abelian groups and affine geometries. Several constructions are presented, and the bounds on minimal distance are derived by using the concept of Pasch configurations.
Keywords :
block codes; combinatorial mathematics; cyclic codes; parity check codes; Abelian group; Pasch configuration; affine geometry; balanced incomplete block design; combinatorial construction; quasicyclic low-density parity check code; Bipartite graph; Error correction; Geometry; Ink; Lattices; Magnetic recording; Optical design; Optical fiber communication; Parity check codes; Ultraviolet sources;
Conference_Titel :
Telecommunications in Modern Satellite, Cable and Broadcasting Service, 2003. TELSIKS 2003. 6th International Conference on
Print_ISBN :
0-7803-7963-2
DOI :
10.1109/TELSKS.2003.1246258
