• DocumentCode
    1472440
  • Title

    Counting Partial Spread Functions in Eight Variables

  • Author

    Langevin, Philippe ; Hou, Xiang-Dong

  • Author_Institution
    U.F.R. des Sci. et Tech., Univ. du Sud Toulon Var, La Garde, France
  • Volume
    57
  • Issue
    4
  • fYear
    2011
  • fDate
    4/1/2011 12:00:00 AM
  • Firstpage
    2263
  • Lastpage
    2269
  • Abstract
    In this paper we report the following computational results on partial spread functions in eight variables: (i) the numbers of equivalence classes of partial spread functions (in eight variables) of all possible orders; (ii) the total number of partial spread bent functions in eight variables; (iii) the distribution of the cardinalities of stabilizers (in GL(8, F2)) of partial spread bent functions in eight variables. The computational method is also described.
  • Keywords
    Boolean functions; combinatorial mathematics; Boolean function; equivalence classes; partial spread bent functions; partial spread function counting; Boolean functions; Classification algorithms; Computers; Fourier transforms; Polynomials; Testing; Bent function; Boolean function; partial spread;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2011.2112230
  • Filename
    5730597
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1472440