• DocumentCode
    1015920
  • Title

    On Quadratic Bent Functions in Polynomial Forms

  • Author

    Hu, Honggang ; Feng, Dengguo

  • Author_Institution
    Chinese Acad. of Sci., Beijing
  • Volume
    53
  • Issue
    7
  • fYear
    2007
  • fDate
    7/1/2007 12:00:00 AM
  • Firstpage
    2610
  • Lastpage
    2615
  • Abstract
    In this correspondence, we construct some new quadratic bent functions in polynomial forms by using the theory of quadratic forms over finite fields. The results improve some previous work. Moreover, we solve a problem left by Yu and Gong in 2006.
  • Keywords
    Boolean functions; polynomial approximation; Boolean function; Hadamard transform; finite fields; polynomial forms; quadratic bent functions; Binary sequences; Boolean functions; Cryptography; Electronic mail; Error correction codes; Galois fields; Hamming distance; Information security; Polynomials; Sufficient conditions; Bent function; Boolean function; Hadamard transform; maximum nonlinearity; quadratic form; semi-bent function;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2007.899553
  • Filename
    4252334
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1015920