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Remarks on nonlinear congruential pseudorandom numbers

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Abstract

We simplify, improve, and generalize the recent work of Eichenauer, Grothe, and Lehn on nonlinear congruential pseudorandom numbers and their performance under the lattice test.

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References

  1. Eichenauer J, Grothe H, Lehn J (1988) Marsaglia’s lattice test and non-linear congruential pseudo random number generators. Metrika 35:241–250

    Google Scholar 

  2. Eichenauer J, Lehn J (1986) A non-linear congruential pseudo random number generator. Statistische Hefte 27:315–326

    MATH  MathSciNet  Google Scholar 

  3. Lidl R, Niederreiter H (1983) Finite fields. Addison-Wesley, Reading

    MATH  Google Scholar 

  4. Lidl R, Niederreiter H (1986) Introduction to finite fields and their applications. Cambridge Univ. Press, Cambridge

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  5. Niederreiter H, Shiue J-S (1977) Equidistribution of linear recurring sequences in finite fields. Indagationes Math 80:397–405

    Article  MathSciNet  Google Scholar 

  6. Niederreiter H, Shiue J-S (1980) Equidistribution of linear recurring sequences in finite fields, II. Acta Arith 38:197–207

    MATH  MathSciNet  Google Scholar 

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Niederreiter, H. Remarks on nonlinear congruential pseudorandom numbers. Metrika 35, 321–328 (1988). https://doi.org/10.1007/BF02613320

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  • DOI: https://doi.org/10.1007/BF02613320

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