Critical Analysis of Hypothesis Tests in Federal Information Processing Standard (140-2) |
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| Authors: | Elena Almaraz Luengo,Marcos Brian Leiva Cerna,Luis Javier Garcí a Villalba,Julio Hernandez-Castro,Darren Hurley-Smith |
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| Affiliation: | 1.Group of Analysis, Security and Systems (GASS), Universidad Complutense de Madrid, 28040 Madrid, Spain; (E.A.L.); (M.B.L.C.);2.School of Computing, University of Kent, Canterbury CT2 7NZ, UK;3.Information Security Group, Royal Holloway University of London, Egham TW20 0EX, UK; |
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| 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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| Keywords: | correlation Dieharder ENT FIPS 140-2 independence mutual information NIST SP 800-22 p-value randomness statistic TestU01 |
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