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

Bane Vasic; Alexander Kuznetsov; Erozan Kurtas

doi:10.1109/ISIT.2002.1023725

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

Bane Vasic
, Alexander Kuznetsov
, Erozan Kurtas

Research output: Contribution to journal › Article › peer-review

10 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 language	English (US)
Article number	453
Pages (from-to)	453
Number of pages	1
Journal	IEEE International Symposium on Information Theory-Proceedings
DOIs	https://doi.org/10.1109/ISIT.2002.1023725
State	Published - 2002

ASJC Scopus subject areas

Theoretical Computer Science
Information Systems
Modeling and Simulation
Applied Mathematics

Access to Document

10.1109/ISIT.2002.1023725

Cite this

@article{3f5b4b0ec4b04c8bbb9fa710b74da148,

title = "Lattice low-density parity check codes and their application in partial response systems",

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.",

author = "Bane Vasic and Alexander Kuznetsov and Erozan Kurtas",

year = "2002",

doi = "10.1109/ISIT.2002.1023725",

language = "English (US)",

pages = "453",

journal = "IEEE International Symposium on Information Theory-Proceedings",

issn = "2157-8095",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

}

TY - JOUR

T1 - Lattice low-density parity check codes and their application in partial response systems

AU - Vasic, Bane

AU - Kuznetsov, Alexander

AU - Kurtas, Erozan

PY - 2002

Y1 - 2002

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/0036350163

UR - https://www.scopus.com/pages/publications/0036350163#tab=citedBy

U2 - 10.1109/ISIT.2002.1023725

DO - 10.1109/ISIT.2002.1023725

M3 - Article

AN - SCOPUS:0036350163

SN - 2157-8095

SP - 453

JO - IEEE International Symposium on Information Theory-Proceedings

JF - IEEE International Symposium on Information Theory-Proceedings

M1 - 453

ER -

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

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this