DocumentCode
2058525
Title
Combinatorial constructions of low-density parity check codes for iterative decoding
Author
Vasic, Bane
Author_Institution
Dept. of Electr. & Comput. Eng., Arizona Univ., Tucson, AZ, USA
fYear
2002
fDate
2002
Firstpage
312
Abstract
We introduce 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
combinatorial mathematics; cyclic codes; group codes; iterative decoding; parity check codes; Abelian groups; LDPC codes; Pasch configurations; affine geometries; balanced incomplete block designs; combinatorial construction; cyclic difference families; iterative decoding; low-density parity check codes; minimal distance; regular codes; Computational geometry; Hardware; Iterative decoding; Lattices; Magnetic recording; Optical design; Optical fiber communication; Parity check codes; Ultraviolet sources; Welding;
fLanguage
English
Publisher
ieee
Conference_Titel
Information Theory, 2002. Proceedings. 2002 IEEE International Symposium on
Print_ISBN
0-7803-7501-7
Type
conf
DOI
10.1109/ISIT.2002.1023584
Filename
1023584
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