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On the Distribution of Nonlinear Congruential Pseudorandom Numbers of Higher Orders in Residue Rings

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5527))

Abstract

The nonlinear congruential method is an attractive alternative to the classical linear congruential method for pseudorandom number generation. In this paper we present new discrepancy bounds for sequences of s-tuples of successive nonlinear congruential pseudorandom numbers of higher orders modulo a composite integer M.

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© 2009 Springer-Verlag Berlin Heidelberg

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El-Mahassni, E.D., Gomez, D. (2009). On the Distribution of Nonlinear Congruential Pseudorandom Numbers of Higher Orders in Residue Rings. In: Bras-Amorós, M., Høholdt, T. (eds) Applied Algebra, Algebraic Algorithms and Error-Correcting Codes. AAECC 2009. Lecture Notes in Computer Science, vol 5527. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02181-7_21

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  • DOI: https://doi.org/10.1007/978-3-642-02181-7_21

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-02180-0

  • Online ISBN: 978-3-642-02181-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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