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Designs, Codes and Cryptography

, Volume 28, Issue 2, pp 135–146 | Cite as

Linear Complexity of the Discrete Logarithm

  • Sergei Konyagin
  • Tanja Lange
  • Igor Shparlinski
Article

Abstract

We obtain new lower bounds on the linear complexity of several consecutive values of the discrete logarithm modulo a prime p. These bounds generalize and improve several previous results.

discrete logarithm linear recurrence sequences linear complexity 

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Copyright information

© Kluwer Academic Publishers 2003

Authors and Affiliations

  • Sergei Konyagin
    • 1
  • Tanja Lange
    • 2
  • Igor Shparlinski
    • 3
  1. 1.Department of Mechanics and MathematicsMoscow State UniversityMoscowRussia
  2. 2.Institute of Experimental MathematicsUniversity of EssenEssenGermany
  3. 3.Department of ComputingMacquarie UniversitySydneyAustralia

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