New quasi-cyclic codes from simplex codes

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    As a generalization of cyclic codes, quasi-cyclic (QC) codes contain many good linear codes. But quasi-cyclic codes studied so far are mainly limited to one generator (1-generator) QC codes. In this correspondence, 2-generator and 3-generator QC codes are studied, and many good, new QC codes are constructed from simplex codes. Some new binary QC codes or related codes, that improve the bounds on maximum minimum distance for binary linear codes are constructed. They are 5-generator QC [93 17 34] and [254,23, 102] codes, and related [96, 17, 361, [256, 23,104] codes.

    OriginalspråkEngelska
    Sidor (från-till)1193-1196
    Antal sidor3
    TidskriftIEEE Transactions on Information Theory
    Volym53
    Utgåva3
    DOI
    StatusPublicerad - 2007

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