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

Shoichi Kondo, Tomokazu Katagiri, Takao Ogihara

    Research output: Contribution to journalArticle

    6 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

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    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

    Cite this

    Automorphism groups of one-point codes from the curves yq + y = xqr+1 . / Kondo, Shoichi; Katagiri, Tomokazu; Ogihara, Takao.

    In: IEEE Transactions on Information Theory, Vol. 47, No. 6, 09.2001, p. 2573-2579.

    Research output: Contribution to journalArticle

    Kondo, Shoichi ; Katagiri, Tomokazu ; Ogihara, Takao. / Automorphism groups of one-point codes from the curves yq + y = xqr+1 In: IEEE Transactions on Information Theory. 2001 ; Vol. 47, No. 6. pp. 2573-2579.
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