Average and reliability error exponents in low-density parity-check codes

Nikos Skantzos, Jort van Mourik, David Saad, Yoshiyuki Kabashima

Research output: Contribution to journalArticle

Abstract

We present a theoretical method for a direct evaluation of the average and reliability error exponents in low-density parity-check error-correcting codes using methods of statistical physics. Results for the binary symmetric channel are presented for codes of both finite and infinite connectivity.

Original languageEnglish
Pages (from-to)11131-11141
Number of pages11
JournalJournal of Physics A: Mathematical and General
Volume36
Issue number43
DOIs
Publication statusPublished - 15 Oct 2003

Bibliographical note

©2003 IOP Publishing Ltd. After the Embargo Period, the full text of the Accepted Manuscript may be made available on the non-commercial repository for anyone with an internet connection to read and download. After the Embargo Period a CC BY-NC-ND 3.0 licence applies to the Accepted Manuscript, in which case it may then only be posted under that CC BY-NC-ND licence provided that all the terms of the licence are adhered to, and any copyright notice and any cover sheet applied by IOP is not deleted or modified.

Keywords

  • error exponents
  • low-density parity-check codes

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