Orders of Gauss periods in finite fields

  • Joachim von zur Gathen
  • Igor Shparlinski
Session 7A
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1004)


We show that Gauss periods of special type give an explicit polynomial-time construction of elements of exponentially large multiplicative order in some finite fields. It can be considered as a step towards solving the celebrated problem of finding primitive roots in finite fields in polynomial time.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • Joachim von zur Gathen
    • 1
    • 2
  • Igor Shparlinski
    • 1
    • 2
  1. 1.FB Mathematik-InformatikUniversität-GH PaderbornGermany
  2. 2.School of MPCEMacquarie UniversityAustralia

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