Construction and decoding of a class of algebraic geometry codes

Jørn Justesen, Knud J. Larsen, Helge Elbrønd Jensen, Allan Havemose, Tom Høholdt

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    A class of codes derived from algebraic plane curves is constructed. The concepts and results from algebraic geometry that were used are explained in detail; no further knowledge of algebraic geometry is needed. Parameters, generator and parity-check matrices are given. The main result is a decoding algorithm which turns out to be a generalization of the Peterson algorithm for decoding BCH decoder codes
    Original languageEnglish
    JournalI E E E Transactions on Information Theory
    Issue number4
    Pages (from-to)811-821
    Publication statusPublished - 1989

    Bibliographical note

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