Lattice low-density parity check codes and their application in partial response systems

Bane Vasic, Alexander Kuznetsov, Erozan Kurtas

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

This paper introduces a combinatorial construction of high rate low-density parity check codes based on two-dimensional integer lattices. A class of codes with a wide range of lengths, column weights and minimum distances is obtained. The resulting codes are doubly circulant, i.e. the matrix of parity checks is an array of circulant matrices. The bounds on the minimum distance are established and the performance of these codes in partial response channels is investigated.

Original languageEnglish (US)
Article number453
Number of pages1
JournalIEEE International Symposium on Information Theory-Proceedings
DOIs
StatePublished - Jan 1 2002

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Information Systems
  • Modeling and Simulation
  • Applied Mathematics

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