CONSTRUCTION OF EVALUATION CODES FROM HERMITIAN CURVES CONSTRUCTION OF EVALUATION CODES FROM HERMITIAN CURVES

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Author(s)

    • UEHARA Tsuyoshi
    • Department of Information Science Faculty of Science and Engineering Saga University

Abstract

An evaluation code is a generalization of a one-point algebraic geometry code. The aim of this article is to present a method of constructing evaluation codes from the Hermitian curves, and compute the Feng-Rao bounds for their minimum distances. It is proved that some of such evaluation codes have a better property than one-point Hermitian codes.

An evaluation code is a generalization of a one-point algebraic geometry code. The aim of this article is to present a method of constructing evaluation codes from the Hermitian curves, and compute the Feng-Rao bounds for their minimum distances. It is proved that some of such evaluation codes have a better property than one-point Hermitian codes.

Journal

  • Kyushu Journal of Mathematics

    Kyushu Journal of Mathematics 61(2), 415-429, 2007

    Kyushu University

Codes

  • NII Article ID (NAID)
    110006377535
  • NII NACSIS-CAT ID (NCID)
    AA10994346
  • Text Lang
    ENG
  • Article Type
    Departmental Bulletin Paper
  • ISSN
    1340-6116
  • Data Source
    NII-ELS  IR  J-STAGE 
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