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

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

    Research output: Contribution to journalArticlepeer-review

    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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