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On Statistical Independence in the Logistic Map: A Guide to Design New Chaotic Sequences Useful in Cryptography

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Computational Science and Its Applications – ICCSA 2007 (ICCSA 2007)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4707))

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Abstract

The paper explores the possibility to generate experimental independent andidentically distributed data sets starting from the logistic map and discusses its applicability in cryptography. In order to reveal the statistical independence in the context of a chaotic signal, and to come up with firm and accurate results, the paper combines usual statistical methods with an original test procedure useful in the case of continuous random variables of unknown probability law. The overall theoretical approach may be viewed as a guide to generate independent andidentically distributed samples starting from the logistic map, and also to design chaotic sequences useful for cryptographic purposes.

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Osvaldo Gervasi Marina L. Gavrilova

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Vlad, A., Luca, A., Badea, B. (2007). On Statistical Independence in the Logistic Map: A Guide to Design New Chaotic Sequences Useful in Cryptography. In: Gervasi, O., Gavrilova, M.L. (eds) Computational Science and Its Applications – ICCSA 2007. ICCSA 2007. Lecture Notes in Computer Science, vol 4707. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74484-9_40

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  • DOI: https://doi.org/10.1007/978-3-540-74484-9_40

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-74482-5

  • Online ISBN: 978-3-540-74484-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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