• DocumentCode
    1049012
  • Title

    On the Existence of (10, 2, 7, 488) Resilient Functions

  • Author

    Wen Ming Liu ; Youssef, A.

  • Author_Institution
    Concordia Inst. for Inf. Syst. Eng., Concordia Univ., Montreal, QC
  • Volume
    55
  • Issue
    1
  • fYear
    2009
  • Firstpage
    411
  • Lastpage
    412
  • Abstract
    Using a heuristic search combined with some algebraic techniques, several examples for 10-variable Boolean functions with nonlinearity 488, algebraic degree 7, and resiliency degree 2 , were constructed. This construction affirmatively answers the open problem about the existence of such functions.
  • Keywords
    Boolean functions; cryptography; Boolean function; algebraic technique; cryptography; heuristic search; resilient function; Artificial intelligence; Boolean functions; Cost function; Cryptography; Hamming weight; Information systems; Jacobian matrices; Systems engineering and theory; Testing; 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.2008.2008140
  • Filename
    4729749
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1049012