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On the Security of Random Sources

Jean -Sebastien Coron4, 5 Contact Information

(4)  Ecole Normale Supérieure, 45 rue d’Ulm, Paris, F-75230, France
(5)  Gemplus Card International, 34 rue Guynemer, Issy-les-Moulineaux, F-92447, France
Abstract
Many applications rely on the security of their random number generator. It is therefore essential that such devices be extensively tested for malfunction. The purpose of a statistical test is to detect specific weaknesses in random sources.
Maurer’s universal test is a very common randomness test, capable of detecting a wide range of statistical defects. The test is based on the computation of a function which is asymptotically related to the source’s entropy, which measures the effective key-size of block ciphers keyed by the source’s output.
In this work we develop a variant of Maurer’s test where the test function is in theory exactly equal to the source’s entropy, thereby enabling a better detection of defects in the tested source.

Contact Information Jean -Sebastien Coron
Email: coron@gemplus.com
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