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The SAC Test: A New Randomness Test, with Some Applications to PRNG Analysis

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Computational Science and Its Applications – ICCSA 2004 (ICCSA 2004)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3043))

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Abstract

A new statistical test for randomness, the SAC test, is presented, together with its results over some well-known generators in the literature. These results are analyzed and some possible applications of the test, as for measuring the strength of cryptographic primitives including block ciphers, stream ciphers and pseudorandom number generators, especially during the design and analysis phase, are detailed. Finally, the source code for the SAC test is provided, which proves some of its other advantages: it is easy to implement, and very fast so well-suited for practical applications.

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References

  1. Rukhin, A.L.: Testing Randomness: A suite of statistical procedures. SIAM Journal on Theory of Probability and its applications 45 (2000)

    Google Scholar 

  2. Maurer, U.M.: A universal statistical test for random bit generators. In: Menezes, A., Vanstone, S.A. (eds.) CRYPTO 1990. LNCS, vol. 537, pp. 409–420. Springer, Heidelberg (1991)

    Google Scholar 

  3. Knuth, D.E.: The Art of Computer Programming, 3rd edn., vol. 2. Prentice Hall PTR, Englewood Cliffs (1997)

    Google Scholar 

  4. Marsaglia, G.D.: A battery of tests for randomness (1996), http://stat.fsu.edu/geo/diehard.html

  5. Soto, J.: Statistical Testing of Random Number Generators. In: Proceedings of the 22nd National Information Systems Security Conference (1999)

    Google Scholar 

  6. Marsaglia, G., Tsang, W.W.: Some Difficult-to-pass Tests of Randomness. Journal of Statistical Software 7(3) (2002)

    Google Scholar 

  7. Center for Information Security and Cryptography (CISC) Library of Tests for Random Number Generators at, http://www.csis.hku.hk/cisc/download/idetect/

  8. Coron, J.S., Naccache, D.: An Accurate Evaluation of Maurer’s Universal Test. In: Tavares, S., Meijer, H. (eds.) SAC 1998. LNCS, vol. 1556, p. 57. Springer, Heidelberg (1999)

    Chapter  Google Scholar 

  9. Forre, R.: The strict avalanche criterion: spectral properties of booleans functions and an extended definition. In: Goldwasser, S. (ed.) CRYPTO 1988. LNCS, vol. 403, pp. 450–468. Springer, Heidelberg (1990)

    Google Scholar 

  10. Webster, A., Tavares, S.: On the design of S-boxes. In: Williams, H.C. (ed.) CRYPTO 1985. LNCS, vol. 218, pp. 523–534. Springer, Heidelberg (1986)

    Google Scholar 

  11. Feistel, H.: Cryptography and Computer Privacy. Scientific American 228(5), 15–23 (1973)

    Article  Google Scholar 

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Author information

Authors and Affiliations

  1. INRIA-IRISA, CAPS TEAM, Campus de Beaulieu, 35042, Rennes, France

    Julio C. Hernandez & Andre Seznec

  2. Carlos III University, 28911, Leganés, Madrid, Spain

    José María Sierra

Authors
  1. Julio C. Hernandez
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  2. José María Sierra
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  3. Andre Seznec
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Editor information

Editors and Affiliations

  1. Department of Chemistry, University of Perugia, Via Elce di Sotto, 8, I-06123, Perugia, Italy

    Antonio Laganá

  2. Department of Computer Science, University of Calgary, 2500 University Drive N.W., T2N 1N4, Calgary, AB, Canada

    Marina L. Gavrilova

  3. William Norris Professor, Head of the Computer Science and Engineering Department, University of Minnesota, USA

    Vipin Kumar

  4. School of Computing, Soongsil University, Seoul, Korea

    Youngsong Mun

  5. OptimaNumerics Ltd., Cathedral House, 23-31 Waring Street, BT1 2DX, Belfast, UK

    C. J. Kenneth Tan

  6. Department of Mathematics and Computer Science, University of Perugia, via Vanvitelli, 1, I-06123, Perugia, Italy

    Osvaldo Gervasi

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© 2004 Springer-Verlag Berlin Heidelberg

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Hernandez, J.C., Sierra, J.M., Seznec, A. (2004). The SAC Test: A New Randomness Test, with Some Applications to PRNG Analysis. In: Laganá, A., Gavrilova, M.L., Kumar, V., Mun, Y., Tan, C.J.K., Gervasi, O. (eds) Computational Science and Its Applications – ICCSA 2004. ICCSA 2004. Lecture Notes in Computer Science, vol 3043. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24707-4_108

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  • DOI: https://doi.org/10.1007/978-3-540-24707-4_108

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-22054-1

  • Online ISBN: 978-3-540-24707-4

  • eBook Packages: Springer Book Archive

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