18 citations · 38 across the 42 of their papers we have counts for
5 papers · 1 filter
On the Length of Critical Orbits of Stable Quadratic Polynomials
Alina Ostafe, Igor E. Shparlinski
We use the Weil bound of multiplicative character sums together with some recent results of N. Boston and R. Jones, to show that the critical orbit of quadratic polynomials over a…
Pseudorandom Numbers and Hash Functions from Iterations of Multivariate Polynomials
Alina Ostafe, Igor E. Shparlinski
Dynamical systems generated by iterations of multivariate polynomials with slow degree growth have proved to admit good estimates of exponential sums along their orbits which in tu…
Multivariate Permutation Polynomial Systems and Nonlinear Pseudorandom Number Generators
Alina Ostafe
In this paper we study a class of dynamical systems generated by iterations of multivariate permutation polynomial systems which lead to polynomial growth of the degrees of these i…
On the Degree Growth in Some Polynomial Dynamical Systems and Nonlinear Pseudorandom Number Generators
Alina Ostafe, Igor Shparlinski
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…
Some Additive Combinatorics Problems in Matrix Rings
Ron Ferguson, Corneliu Hoffman, Florian Luca +2
We study the distribution of singular and unimodular matrices in sumsets in matrix rings over finite fields. We apply these results to estimate the largest prime divisor of the det…