<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The aim of the present paper is to provide the background to construct linear recurring sequences with uniform distribution modulo 2<italic><sup>s</sup></italic>. 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.</p></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.

Construction of Uniformly Distributed Linear Recurring Sequences Modulo Powers of 2

Uniform distribution theory

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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...

Construction of Uniformly Distributed Linear Recurring Sequences Modulo Powers of 2

Published Online: Jul 20, 2018

Page range: 109 - 129

Received: Sep 12, 2016

Accepted: Nov 21, 2017

DOI: https://doi.org/10.1515/udt-2018-0006

Keywords
uniform distribution, construction, long period, large numbers

© 2018 Tamás Herendi, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Construction of Uniformly Distributed Linear Recurring Sequences Modulo Powers of 2

Published Online: Jul 20, 2018

Page range: 109 - 129

Received: Sep 12, 2016

Accepted: Nov 21, 2017

DOI: https://doi.org/10.1515/udt-2018-0006

Keywordsuniform distribution, construction, long period, large numbers

© 2018 Tamás Herendi, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
uniform distribution, construction, long period, large numbers