• DocumentCode
    2456406
  • Title

    A Nonlinear Boolean Function with Good Algebraic Immunity

  • Author

    Kim, Ju Young ; Song, Hong-Yeop

  • Author_Institution
    Yonsei Univ., Seoul
  • fYear
    2007
  • fDate
    23-27 Sept. 2007
  • Firstpage
    94
  • Lastpage
    98
  • Abstract
    We describe the algebraic immunity and calculation of algebraic immunity of boolean functions. We propose a new balanced n-variable boolean function with high algebraic immunity. We check the nonlinearity of the new function for n < 20 and the algebraic immunity of the function in case of n < 18. We conjecture it has optimum algebraic immunity.
  • Keywords
    Boolean functions; cryptography; algebraic immunity; cryptography; nonlinear boolean function; Algorithm design and analysis; Boolean functions; Computer networks; Cryptography; Design methodology; Feedback; Galois fields; Hardware; Immunity testing; Shift registers; algebraic immunity; boolean function; nonlinearity;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Signal Design and Its Applications in Communications, 2007. IWSDA 2007. 3rd International Workshop on
  • Conference_Location
    Chengdu
  • Print_ISBN
    978-1-4244-1074-3
  • Electronic_ISBN
    978-1-4244-1074-3
  • Type

    conf

  • DOI
    10.1109/IWSDA.2007.4408417
  • Filename
    4408417