• DocumentCode
    1780161
  • Title

    Niho bent functions from quadratic o-monomials

  • Author

    Budaghyan, Lilya ; Kholosha, A. ; Carlet, Claude ; Helleseth, Tor

  • Author_Institution
    Dept. of Inf., Univ. of Bergen, Bergen, Norway
  • fYear
    2014
  • fDate
    June 29 2014-July 4 2014
  • Firstpage
    1827
  • Lastpage
    1831
  • Abstract
    In this paper, we extend the class of Niho bent function consisting of 2r terms discovered by Leander and Kholosha. The extension is achieved by inserting coefficients of the power terms in the original function. Doing this, we obtain relation to all the existing quadratic o-monomials. We also calculate the algebraic degree of any function in the extended class.
  • Keywords
    Boolean functions; Boolean functions; Niho Bent functions; function algebraic degree; power term coefficients; quadratic o-monomials; Boolean functions; Educational institutions; Information theory; Polynomials; Transforms; Vectors; Bent function; Boolean function; Niho bent function; Walsh transform; maximum nonlinearity; o-polynomial;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory (ISIT), 2014 IEEE International Symposium on
  • Conference_Location
    Honolulu, HI
  • Type

    conf

  • DOI
    10.1109/ISIT.2014.6875149
  • Filename
    6875149
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1780161