Pseudorandomness and Dynamics of Fermat Quotients
Number Theory
2010-01-25 v2 Dynamical Systems
Abstract
We obtain some theoretic and experimental results concerning various properties (the number of fixed points, image distribution, cycle lengths) of the dynamical system naturally associated with Fermat quotients acting on the set . We also consider pseudorandom properties of Fermat quotients such as joint distribution and linear complexity.
Cite
@article{arxiv.1001.1504,
title = {Pseudorandomness and Dynamics of Fermat Quotients},
author = {Alina Ostafe and Igor E. Shparlinski},
journal= {arXiv preprint arXiv:1001.1504},
year = {2010}
}