On the Degree Growth in Some Polynomial Dynamical Systems and Nonlinear Pseudorandom Number Generators

Details On the Degree Growth in Some Polynomial Dynamical Systems and Nonlinear Pseudorandom Number Generators On the Degree Growth in Some Polynomial Dynamical Systems and Nonlinear Pseudorandom Number Generators

2009-02-23

arxiv.org/abs/0902.3884v3

Mathematics

Number Theory

Mathematics of Computation (to appear)

Scientific paper

In this paper we study a class of dynamical systems generated by iterations
of multivariate polynomials and estimate the degreegrowth of these iterations.
We use these estimates to bound exponential sums along the orbits of these
dynamical systems and show that they admit much stronger estimates than in the
general case and thus can be of use for pseudorandom number generation.

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