• DocumentCode
    1722133
  • Title

    Classification of Boolean cubic forms of nine variables

  • Author

    Brier, Eric ; Langevin, Philippe

  • Author_Institution
    Card Security Group, Gemplus Card Int., Gemenos, France
  • fYear
    2003
  • Firstpage
    179
  • Lastpage
    182
  • Abstract
    We describe a new invariant that we have used to obtain the complete classification of the cubic forms of nine variables. In particular, we compute the covering radius of the Reed-Muller code RM(2, 9) into RM(3, 9).
  • Keywords
    Boolean functions; Reed-Muller codes; polynomials; Boolean cubic form classification; Boolean functions; Reed-Muller codes; covering radius; invariant; polynomials; Algebra; Boolean functions; Distributed computing; Linear code; Orbits; Polynomials; Reactive power; Security;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory Workshop, 2003. Proceedings. 2003 IEEE
  • Print_ISBN
    0-7803-7799-0
  • Type

    conf

  • DOI
    10.1109/ITW.2003.1216724
  • Filename
    1216724