Automorphism groups of one-point codes from the curves yq + y = xqr+1

Shoichi Kondo, Tomokazu Katagiri, Takao Ogihara

    Research output: Contribution to journalArticle

    7 Citations (Scopus)

    Abstract

    The automorphism groups are determined for the one-point codes Cm on the curves over Fq2r defined by yq + y = xqr+1, where r is an odd number. This generalizes Xing's theorem, and extends a results of Wesemeyer to the case of the above curve.

    Original languageEnglish
    Pages (from-to)2573-2579
    Number of pages7
    JournalIEEE Transactions on Information Theory
    Volume47
    Issue number6
    DOIs
    Publication statusPublished - 2001 Sep

    Keywords

    • Automorphism group of a code
    • Function field of a curve
    • Geometric Goppa codes
    • One-point codes

    ASJC Scopus subject areas

    • Electrical and Electronic Engineering
    • Information Systems

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