Uniform Distribution Theory
Journal license

Journal

Uniform Distribution Theory


Volume
& Issue

Volume 2, Issue 2


Published
on

December 21, 2007


Pages

105-120


DOI

Article

Pseudo-Randomness of Quadratic Generators


Authors

Olga Blazekova Affiliation:
Mathematical Institute Slovak Academy of Sciences Stefanikova 49 SK-814 73 Bratislava SLOVAKIA
and Oto Strauch Affiliation:
Mathematical Institute Slovak Academy of Sciences Stefanikova 49 SK-814 73 Bratislava SLOVAK REPUBLIC


Abstract

Let xn, n = 0, 1, . . . , M − 1, be a sequence produced by quadratic generator ax2 + bx + c (mod M). In this paper we describe a new method which gives a new bound for discrepancy DM (xn, xn+1). The analysis is restricted by the case of xn with maximal period length M.


Keywords

Pseudo-randomness, quadratic generator, discrepancy.


Citation

Blazekova, O. & Strauch, O. (2007). Pseudo-randomness of quadratic generators. Uniform Distribution Theory, 2(2), 105–120.

Published by: Engineering Journals

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