On the multiple threshold decoding of LDPC codes over GF(q)

Alexey Frolov, Victor Zyablov

    Research output: Contribution to journalArticlepeer-review

    Abstract

    We consider decoding of LDPC codes over GF(q) with a hard-decision low-complexity majority algorithm, which is a generalization of the bit-flipping algorithm for binary LDPC codes. A modification of this algorithm with multiple thresholds is suggested. A lower estimate on the decoding radius realized by the new algorithm is derived. The estimate is shown to be better than the estimate for a single threshold majority decoder. At the same time, introducing multiple thresholds does not affect the order of decoding complexity.

    Original languageEnglish
    Pages (from-to)123-137
    Number of pages15
    JournalAdvances in Mathematics of Communications
    Volume11
    Issue number1
    DOIs
    Publication statusPublished - Feb 2017

    Keywords

    • Coding theory
    • Decoding radius
    • Iterative decoding
    • LDPC codes
    • Majority logic decoding
    • Threshold decoding

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