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Linear Complexity of the Discrete Logarithm
Authors:Sergei Konyagin  Tanja Lange  Igor Shparlinski
Institution:(1) Department of Mechanics and Mathematics, Moscow State University, Moscow, 119899, Russia;(2) Institute of Experimental Mathematics, University of Essen, Essen, D-45326, Germany;(3) Department of Computing, Macquarie University, Sydney, NSW, 2109, Australia
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.
Keywords:discrete logarithm  linear recurrence sequences  linear complexity
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