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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    Abstract

    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
    Volume35
    Issue number4
    Pages (from-to)811-821
    ISSN0018-9448
    DOIs
    Publication statusPublished - 1989

    Bibliographical note

    Copyright: 1989 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE

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