• DocumentCode
    919171
  • Title

    On the existence of (9,3,5,240) resilient functions

  • Author

    Saber, Z. ; Uddin, M.F. ; Youssef, A.

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Concordia Univ., Montreal, Canada
  • Volume
    52
  • Issue
    5
  • fYear
    2006
  • fDate
    5/1/2006 12:00:00 AM
  • Firstpage
    2269
  • Lastpage
    2270
  • Abstract
    Using a heuristic search technique, several examples for 9-variable Boolean functions with nonlinearity 240, algebraic degree 5, and resiliency degree 3 were constructed. This construction affirmatively answers the open problem about the existence of such functions.
  • Keywords
    Boolean functions; cryptography; search problems; Boolean function; algebraic degree; heuristic search technique; resilient function; Boolean functions; Cost function; Councils; Cryptography; Hamming weight; Information systems; Instruction sets; Systems engineering and theory; Boolean functions; cryptography; resilient functions;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2006.872862
  • Filename
    1624664
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=919171