Two new alternatives for a general method of construction of PRNGs based on the Residue Number System

This article presents two new alternatives for the construction of Pseudo-Random Number Generators (PRNGs) based on the Residue Number System (RNS). The procedure follows a previously proposed methodology. To assess the statistical quality of the proposed generators, the series are studied by applying different tests that measure randomness of the proposed Number Generators such as: basic statistical studies, Diehard test, statistical complexity measurements, zipping complexity and Hurst exponent. The new proposed PRNGs successfully passed all the tests applied to measure their characteristics.