Combinatorial constructions of low-density parity-check codes for iterative decoding

Bane Vasic, Olgica Milenkovic

Research output: Contribution to journalArticle

177 Scopus citations

Abstract

This paper introduces several new combinatorial constructions of low-density parity-check (LDPC) codes, in contrast to the prevalent practice of using long, random-like codes. The proposed codes are well structured, and unlike random codes can lend themselves to a very low-complexity implementation. Constructions of regular Gallager codes based on cyclic difference families, cycle-invariant difference sets, and affine 1-configurations are introduced. Several constructions of difference families used for code design are presented, as well as bounds on the minimal distance of the codes based on the concept of a generalized Pasch configuration.

Original languageEnglish (US)
Pages (from-to)1156-1176
Number of pages21
JournalIEEE Transactions on Information Theory
Volume50
Issue number6
DOIs
StatePublished - Jun 1 2004

Keywords

  • Cyclic difference families
  • Iterative decoding
  • Low-density parity-check (LDPC) codes
  • Pasch configurations

ASJC Scopus subject areas

  • Information Systems
  • Computer Science Applications
  • Library and Information Sciences

Fingerprint Dive into the research topics of 'Combinatorial constructions of low-density parity-check codes for iterative decoding'. Together they form a unique fingerprint.

  • Cite this