• DocumentCode
    2077943
  • Title

    Trinomial curves with many rational points

  • Author

    Beelan, P. ; Pellikaan, Ruud

  • Author_Institution
    Dept. of Math. & Comput. Sci., Tech. Univ. of Eindhoven, Netherlands
  • fYear
    1998
  • fDate
    22-26 Jun 1998
  • Firstpage
    38
  • Lastpage
    39
  • Abstract
    The authors discuss a method to get plane curves with many rational points and a construction to get asymptotically good codes and curves, that is closely related to finding bivariate polynomials representing designs. The number of rational points and the genus is computed for plane curves that have a defining equation with three monomials
  • Keywords
    algebraic geometric codes; polynomials; algebraic geometric codes; asymptotically good codes; bivariate polynomials; genus; monomials; plane curves; rational points; trinomial curves; Equations; H infinity control; Mathematics; Polynomials;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory Workshop, 1998
  • Conference_Location
    Killarney
  • Print_ISBN
    0-7803-4408-1
  • Type

    conf

  • DOI
    10.1109/ITW.1998.706401
  • Filename
    706401