• DocumentCode
    1072361
  • Title

    On the linear and nonlinear complexity profile of nonlinear pseudorandom number generators

  • Author

    Gutierrez, Jaime ; Shparlinski, Igor E. ; Winterhof, Arne

  • Author_Institution
    Fac. of Sci., Univ. of Cantabria, Santander, Spain
  • Volume
    49
  • Issue
    1
  • fYear
    2003
  • fDate
    1/1/2003 12:00:00 AM
  • Firstpage
    60
  • Lastpage
    64
  • Abstract
    We obtain lower bounds on the linear and nonlinear complexity profile of a general nonlinear pseudorandom number generator, of the inversive generator, and of a new nonlinear generator called quadratic exponential generator. The results are interesting for applications to cryptography and Monte Carlo methods.
  • Keywords
    Monte Carlo methods; computational complexity; cryptography; random number generation; Monte Carlo methods; cryptography; inversive generator; linear complexity profile; lower bounds; nonlinear complexity profile; nonlinear pseudorandom number generators; quadratic exponential generator; Australia Council; Cryptography; Galois fields; H infinity control; Lattices; Mathematics; Polynomials; Power generation; Terrorism;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2002.806144
  • Filename
    1159762