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

San Ling, Igor Shparlinski, Huaxiong Wang

Source record

Source: Crossref

Published: Jan 17, 2014

DOI: 10.1090/s0025-5718-2014-02794-4

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Source abstract

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

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On the Multidimensional Distribution of the Naor–Reingold Pseudo-Random Function — Mathematical Frontier Network