High-Rate Girth-Eight Low-Density Parity-Check Codes on Rectangular Integer Lattices
AffiliationUniv Arizona, Dept Elect & Comp Engn
low-density parity-check (LDPC) codes
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CitationB. Vasic, K. Pedagani and M. Ivkovic, "High-rate girth-eight low-density parity-check codes on rectangular integer lattices," in IEEE Transactions on Communications, vol. 52, no. 8, pp. 1248-1252, Aug. 2004, doi: 10.1109/TCOMM.2004.833037.
RightsCopyright © 2004 IEEE
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AbstractThis 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.
VersionFinal accepted manuscript