• DocumentCode
    2489643
  • Title

    On cross-correlation properties of Boolean functions

  • Author

    Zhou, Yu ; Xie, Min ; Xiao, Guozhen

  • Author_Institution
    State Key Lab. Integrated Service Network, Xidian Univ., Xi´´an, China
  • fYear
    2009
  • fDate
    26-28 Aug. 2009
  • Firstpage
    1
  • Lastpage
    5
  • Abstract
    To measure the correlation between two arbitrary Boolean functions, we propose the two new criteria called the sum-of-squares indicator and the absolute indicator of the cross-correlation. The two indicators generalize the GAC criterion (which was proposed by X.M. Zhang and Y.L. Zheng, in GAC-the criterion for global avalanche characteristics of cryptographic functions, Journal for Universal Computer Science, 1(5): 316-333, 1995). Lower and upper bounds on the two indicators are obtained.
  • Keywords
    Boolean functions; Boolean functions; GAC criterion; cross-correlation properties; lower bounds; sum-of-squares indicator; upper bounds; Boolean functions; Computer networks; Computer science; Cryptography; Feedback; Information security; Intserv networks; Laboratories; Shift registers; Upper bound;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Communications and Networking in China, 2009. ChinaCOM 2009. Fourth International Conference on
  • Conference_Location
    Xian
  • Print_ISBN
    978-1-4244-4337-6
  • Electronic_ISBN
    978-1-4244-4337-6
  • Type

    conf

  • DOI
    10.1109/CHINACOM.2009.5339812
  • Filename
    5339812