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.
References
Eichenauer J, Grothe H, Lehn J (1988) Marsaglia’s lattice test and non-linear congruential pseudo random number generators. Metrika 35:241–250
Eichenauer J, Lehn J (1986) A non-linear congruential pseudo random number generator. Statistische Hefte 27:315–326
Lidl R, Niederreiter H (1983) Finite fields. Addison-Wesley, Reading
Lidl R, Niederreiter H (1986) Introduction to finite fields and their applications. Cambridge Univ. Press, Cambridge
Niederreiter H, Shiue J-S (1977) Equidistribution of linear recurring sequences in finite fields. Indagationes Math 80:397–405
Niederreiter H, Shiue J-S (1980) Equidistribution of linear recurring sequences in finite fields, II. Acta Arith 38:197–207
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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