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math.NT2011
Degree Growth, Linear Independence and Periods of a Class of Rational Dynamical Systems
Alina Ostafe, Igor Shparlinski
We introduce and study algebraic dynamical systems generated by triangular systems of rational functions. We obtain several results about the degree growth and linear independence…
math.NT2011★ 2 cited
On the Distribution of the Subset Sum Pseudorandom Number Generator on Elliptic Curves
Simon R. Blackburn, Alina Ostafe, Igor E. Shparlinski
Given a prime , an elliptic curve $\E/\F_p$ over the finite field $\F_p$ of elements and a binary \lrs\ $\(u(n)\)_{n =1}^\infty$ of order~, we study the distribution of t…