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Critical Analysis of Hypothesis Tests in Federal Information Processing Standard (140-2)
Elena Almaraz Luengo1, Marcos Brian Leiva Cerna1, Luis Javier García Villalba1
1Group of Analysis, Security and Systems (GASS), Universidad Complutense de Madrid, 28040 Madrid, Spain.
Abstract:
This work presents an analysis of the existing dependencies between the tests of the FIPS 140-2 battery. Two main analytical approaches are utilized, the first being a study of correlations through the Pearson's correlation coefficient that detects linear dependencies, and the second one being a novel application of the mutual information measure that allows detecting possible non-linear relationships. In order to carry out this study, the FIPS 140-2 battery is reimplemented to allow the user to obtain p-values and statistics that are essential for more rigorous end-user analysis of random number generators (RNG).
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