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arXiv · 2509.19810

On Finite Pseudorandom Binary Sequences: Generalized polynomials

Manfred G. Madritsch·Robert F. Tichy
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Abstract

In the present paper we generate binary pseudorandom sequences using generalized polynomials. A generalized polynomial is a function in whose description we not only allow addition and product (as it is the case in usual polynomials) but also the floor function. We estimate the well-distribution measure, looking at the ``randomness'' along arithmetic progressions.

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BibTeXRIS

Manfred G. Madritsch, Robert F. Tichy. 2025-09-24. On Finite Pseudorandom Binary Sequences: Generalized polynomials. https://arxiv.org/abs/2509.19810

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