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On the structure of quadratic congruential sequences

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Abstract

Sequences of integers defined by a quadratic congruential formula are divided into non-overlapping subsequences of length d. The structure of the set of the resulting points in the d-dimensional Euclidean space Rd is studied. The analysis is restricted to the case of sequences with maximal period length since such sequences are of special interest in connection with pseudo random number generation.

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  1. Fachbereich Mathematik der Technischen Hochschule Darmstadt, Schlossgartenstr. 7, D-6100, Darmstadt

    Jürgen Eichenauer & Jürgen Lehn

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  1. Jürgen Eichenauer
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  2. Jürgen Lehn
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Eichenauer, J., Lehn, J. On the structure of quadratic congruential sequences. Manuscripta Math 58, 129–140 (1987). https://doi.org/10.1007/BF01169087

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  • DOI: https://doi.org/10.1007/BF01169087

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