On the Degree Growth in Some Polynomial Dynamical Systems and Nonlinear Pseudorandom Number Generators
Number Theory
2015-05-13 v3 Dynamical Systems
Abstract
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.
Cite
@article{arxiv.0902.3884,
title = {On the Degree Growth in Some Polynomial Dynamical Systems and Nonlinear Pseudorandom Number Generators},
author = {Alina Ostafe and Igor Shparlinski},
journal= {arXiv preprint arXiv:0902.3884},
year = {2015}
}
Comments
Mathematics of Computation (to appear)