High-rate girth-eight low-density parity-check codes on rectangular integer lattices
Vasic, B.
Pedagani, K.
Ivkovic, M.
Dept. of Electr. & Comput. Eng., Univ. of Arizona, Tucson, AZ, USA;
This paper appears in: Communications, IEEE Transactions on
Publication Date: Aug. 2004
Volume: 52,
Issue: 8
On page(s): 1248- 1252
ISSN: 0090-6778
INSPEC Accession Number: 8091569
Digital Object Identifier: 10.1109/TCOMM.2004.833037
Current Version Published: 2004-08-30
Abstract
This letter introduces a combinatorial construction of girth-eight high-rate low-density parity-check codes based on integer lattices. The parity-check matrix of a code is defined as a point-line incidence matrix of a 1-configuration based on a rectangular integer lattice, and the girth-eight property is achieved by a judicious selection of sets of parallel lines included in a configuration. A class of codes with a wide range of lengths and column weights is obtained. The resulting matrix of parity checks is an array of circulant matrices.
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