A Study on Randomness of Sequences Obtained from Piecewise Logistic Map over Integers

Sota Eguchi, Takeru Miyazaki, Shunsuke Araki, Satoshi Uehara, Yasuyuki Nogami

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We have been studying a design of the pseudo-random number generator by generated sequences with the logistic map over integers. Although it has already been presented that such properties of the generation sequences are good, the range of control parameters that satisfy the properties is not enough wide. To improve this problem, Wang et al. proposed the piecewise logistic map. It is method for increasing the range of control parameters that can generate good sequences for the pseudorandom number generator. However, it is not suitable for computer implementation, because it is defined over real numbers. In this paper, we will propose a piecewise logistic map over integers that uses an integer arithmetic and computers can calculate the map correctly. We will also show some results of numerical experiments for the sequences generated from this map.

Original languageEnglish
Title of host publicationProceedings of 2020 International Symposium on Information Theory and its Applications, ISITA 2020
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages451-455
Number of pages5
ISBN (Electronic)9784885523304
Publication statusPublished - Oct 24 2020
Event16th International Symposium on Information Theory and its Applications, ISITA 2020 - Virtual, Kapolei, United States
Duration: Oct 24 2020Oct 27 2020

Publication series

NameProceedings of 2020 International Symposium on Information Theory and its Applications, ISITA 2020

Conference

Conference16th International Symposium on Information Theory and its Applications, ISITA 2020
Country/TerritoryUnited States
CityVirtual, Kapolei
Period10/24/2010/27/20

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Computer Science Applications
  • Information Systems
  • Software
  • Theoretical Computer Science

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