High-rate girth-eight low-density parity-check codes on rectangular integer lattices

Bane Vasic, Karunakar Pedagani, Milos Ivkovic

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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.

Original languageEnglish (US)
Pages (from-to)1248-1252
Number of pages5
JournalIEEE Transactions on Communications
Volume52
Issue number8
DOIs
StatePublished - Aug 1 2004

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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