On pseudorandom numbers from multivariate polynomial systems |
| |
Authors: | Alina Ostafe Elena Pelican Igor E. Shparlinski |
| |
Affiliation: | 1. Institut für Mathematik, Universität Zürich, Winterthurerstrasse 190, CH-8057, Zürich, Switzerland;2. Faculty of Mathematics and Computer Science, Ovidius University, Mamaia 124, 900527, Constanta, Romania;3. Department of Computing, Macquarie University, Sydney, NSW 2109, Australia |
| |
Abstract: | We bound exponential sums along the orbits of essentially arbitrary multivariate polynomial dynamical systems, provided that the orbits are long enough. We use these bounds to derive nontrivial estimates on the discrepancy of pseudorandom vectors generated by such polynomial systems. We generalize several previous results and in particular suggest a new approach that eliminates the need to control the degree growth of the iterations of these polynomial systems, which has been an obstacle in all previous approaches. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|