This paper presents sets of convolutional codes with memory order four which have maximal free distance and have common nonlinear generating functions. Every code in a set has at least one feedforward coding equation that is nonlinear over a binary Galois Field. Each set has convolutional codes with rates one-half, one-third, and one-fourth. In each set, the generators of the rate one-third code include all the generators of the rate one-half code. In each set, the generators of the rate one-fourth code include all the generators of the rate one-third code. This commonality yields multi-rate code implementations with minimum logic. The focus is nonlinear convolutional codes that achieve Heller-Griesmer bound on maximum free distance.


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    Title :

    Multi-rate convolutional codes using common nonlinear generators for memory order four


    Contributors:


    Publication date :

    2009-03-01


    Size :

    270613 byte





    Type of media :

    Conference paper


    Type of material :

    Electronic Resource


    Language :

    English