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On the Distribution of Pseudorandom Numbers and Vectors Generated by Inversive Methods

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Applicable Algebra in Engineering, Communication and Computing Aims and scope

Abstract.

Inversive methods provide an attractive alternative to linear methods for pseudorandom number and vector generation. We present the first nontrivial results on the distribution of sequences of digital inversive pseudorandom numbers and inversive pseudorandom vectors in parts of the period. The proofs are based on a new bound for certain exponential sums over finite fields.

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Authors and Affiliations

  1. Institute of Discrete Mathematics, Austrian Academy of Sciences, Sonnenfelsgasse 19, A-1010 Vienna, Austria (e-mail: niederreiter@oeaw.ac.at), , , , , , AT

    Harald Niederreiter

  2. Department of Computing, Macquarie University, NSW 2109, Australia (e-mail: igor@comp.mq.edu.au), , , , , , AU

    Igor E. Shparlinski

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  1. Harald Niederreiter
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  2. Igor E. Shparlinski
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Received: March 19, 1999

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Niederreiter, H., Shparlinski, I. On the Distribution of Pseudorandom Numbers and Vectors Generated by Inversive Methods. AAECC 10, 189–202 (2000). https://doi.org/10.1007/s002000050124

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  • DOI: https://doi.org/10.1007/s002000050124

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