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Construction of Uniformly Distributed Linear Recurring Sequences Modulo Powers of 2

Open Access
|Jul 2018

Abstract

The aim of the present paper is to provide the background to construct linear recurring sequences with uniform distribution modulo 2s. The theory is developed and an algorithm based on the achieved results is given. The constructed sequences may have arbitrary large period length depending only on the computational power of the used machines.

DOI: https://doi.org/10.1515/udt-2018-0006 | Journal eISSN: 2309-5377 | Journal ISSN: 1336-913X
Language: English
Page range: 109 - 129
Submitted on: Sep 12, 2016
Accepted on: Nov 21, 2017
Published on: Jul 20, 2018
Published by: Slovak Academy of Sciences, Mathematical Institute
In partnership with: Paradigm Publishing Services
Publication frequency: 2 times per year

© 2018 Tamás Herendi, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.