Exponential sums with Dickson polynomials

Authors:
Domingo Gomez-Perez;Jaime Gutierrez;Igor E. Shparlinski
Affiliations:
Faculty of Science, University of Cantabria, E-39071 Santander, Spain;Faculty of Science, University of Cantabria, E-39071 Santander, Spain;Department of Computing, Macquarie University Sydney, NSW 2109, Australia
Venue:
Finite Fields and Their Applications
Year:
2006

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Abstract

We give new bounds of exponential sums with sequences of iterations of Dickson polynomials over prime finite fields. This result is motivated by possible applications to polynomial generators of pseudorandom numbers.