• DocumentCode
    1061941
  • Title

    A Note on Symmetric Boolean Functions With Maximum Algebraic Immunity in Odd Number of Variables

  • Author

    Longjiang Qu ; Chao Li ; Keqin Feng

  • Author_Institution
    Nat. Univ. of Defense Technol., ChangSha
  • Volume
    53
  • Issue
    8
  • fYear
    2007
  • Firstpage
    2908
  • Lastpage
    2910
  • Abstract
    In this note, it is proved that for each odd positive integer n there are exactly two n-variable symmetric Boolean functions with maximum algebraic immunity.
  • Keywords
    Boolean functions; cryptography; maximum algebraic immunity; odd positive integer; symmetric Boolean functions; Algebra; Block codes; Boolean functions; Conferences; Information theory; Lattices; MIMO; Optimal control; Space time codes; Transmitting antennas; Algebraic attack; algebraic immunity; symmetric Boolean function;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2007.901189
  • Filename
    4276931