@article {IOPORT.01990767, author = {Mu\~noz Masqu\'e, J. and Montoya Vitini, F. and Peinado Dom\'{\i}nguez, A.}, title = {Iterated quadratic functions in $\Bbb F\sb{2\sp n}$.}, year = {2001}, journal = {IJAM. International Journal of Applied Mathematics}, volume = {5}, number = {1}, issn = {1311-1728}, pages = {65-83}, publisher = {Academic Publications, Sofia}, abstract = {Summary: The orbits produced by the iterations of quadratic functions defined over $\Bbb F_{2^n}$ are studied. Particular cases, such as $x\mapsto x^2+c$, are analysed in detail. The algebraic properties of $x\mapsto x^2+bx+c$ allow us to use this function as a part of a pseudorandom number generator.}, identifier = {01990767}, }