Block-circulant low-density parity-check codes for optical communication systems

Author

Milenkovic, Olgica ; Djordjevic, Ivan B. ; Vasic, Bane

Author_Institution

Dept. of Electr. & Comput. Eng., Univ. of Colorado, Boulder, CO, USA

Volume

10

Issue

2

fYear

2004

Firstpage

294

Lastpage

299

Abstract

A novel family of structured low-density parity-check (LDPC) codes with block-circulant parity-check matrices that consist of permutation blocks is proposed. The codes from this family are based on new combinatorial objects termed cycle-invariant difference sets, and they have low storage requirements, fast encoding algorithms, and girth of at least six. Most importantly, they tend to outperform many other known structured LDPCs of comparable rate and length.

Keywords

block codes; error correction codes; forward error correction; optical communication; parity check codes; block-circulant low-density parity-check codes; block-circulant parity check matrices; combinatorial objects; cycle-invariant difference sets; fast encoding algorithms; forward error correction; girth; low storage requirements; optical communication systems; permutation blocks; Code standards; Decoding; Encoding; Forward error correction; Hardware; Optical fiber communication; Optical fiber networks; Parity check codes; Turbo codes; Wavelength division multiplexing; Cycle-invariant difference sets; forward error correction; low-density parity-check codes; optical communications;

fLanguage

English

Journal_Title

Selected Topics in Quantum Electronics, IEEE Journal of

Publisher

ieee

ISSN

1077-260X

Type

jour

DOI

10.1109/JSTQE.2004.827832

Filename

1303577