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On the Linear Complexity and Multidimensional Distribution of Congruential Generators over Elliptic Curves
Authors:Email author" target="_blank">Florian?HessEmail author  Igor?E?Shparlinski
Institution:(1) Institut für Mathematik MA8-1, Techniscke Universit, Berlin, Strasse des 17, Juni 136, 10623 Berlin, Germany;(2) Department of Computing, Macquarie University, Sydney, NSW, 2109, Australia
Abstract:We show that the elliptic curve analogue of the linear congruential generator produces sequences with high linear complexity and good multidimensional distribution.communicated by: A. MenezesAMS Classification: 11T23, 14H52, 65C10
Keywords:elliptic curves  exponential sums  pseudorandom number generators
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