Further results on binary convolutional codes with an optimum distance profile

Rolf Johannesson, Erik Paaske

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    Abstract

    Fixed binary convolutional codes are considered which are simultaneously optimal or near-optimal according to three criteria: namely, distance profiled, free distanced_{ infty}, and minimum number of weightd_{infty}paths. It is shown how the optimum distance profile criterion can be used to limit the search for codes with a large value ofd_{infty}. We present extensive lists of such robustly optimal codes containing rateR = l/2nonsystematic codes, several withd_{infty}superior to that of any previously known code of the same rate and memory; rateR = 2/3systematic codes; and rateR = 2/3nonsystematic codes. As a counterpart to quick-look-in (QLI) codes which are not "transparent," we introduce rateR = 1/2easy-look-in-transparent (ELIT) codes with a feedforward inverse(1 + D,D). In general, ELIT codes haved_{infty}superior to that of QLI codes.
    Original languageEnglish
    JournalI E E E Transactions on Information Theory
    Volume24
    Issue number2
    Pages (from-to)264-268
    ISSN0018-9448
    DOIs
    Publication statusPublished - 1978

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