On the Multidimensional Distribution of the Naor–Reingold Pseudo-Random Function

Abstract

© 2014 American Mathematical Society.We show that the pseudo-random number function, introduced by M. Naor and O. Reingold (FOCS, 1997), possesses one more attractive anduseful property. Namely, it is proved that for almost all values of parameters itproduces a uniformly distributed sequence. The proof is based on some recentbounds of character sums with exponential functions.