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Detection and Location of Multi-Period Phenomena in Chaotic Binary Sequences

Due to the influence of finite calculation accuracy and binary quantization method, the performance of chaotic binary sequences has been degraded in varying degrees, and some sequences emerge as multi-period phenomena. Aiming at the problem that it is difficult to accurately detect this phenomenon,...

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Detalles Bibliográficos
Autores principales: Fan, Chunlei, Ding, Qun
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8946870/
https://www.ncbi.nlm.nih.gov/pubmed/35327842
http://dx.doi.org/10.3390/e24030331
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author Fan, Chunlei
Ding, Qun
author_facet Fan, Chunlei
Ding, Qun
author_sort Fan, Chunlei
collection PubMed
description Due to the influence of finite calculation accuracy and binary quantization method, the performance of chaotic binary sequences has been degraded in varying degrees, and some sequences emerge as multi-period phenomena. Aiming at the problem that it is difficult to accurately detect this phenomenon, this paper proposes a multi-period positioning algorithm (MPPA), which can accurately detect and locate the accurate period and local period phenomena contained in chaotic binary sequences. In order to test the effectiveness and correctness of the algorithm, the multi-period characteristics of logistic binary sequences with different calculation accuracy are analyzed. MPPA evaluates the randomness of binary sequences from a new perspective, which provides a new idea for the analysis of cryptographic security of chaotic sequences.
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spelling pubmed-89468702022-03-25 Detection and Location of Multi-Period Phenomena in Chaotic Binary Sequences Fan, Chunlei Ding, Qun Entropy (Basel) Article Due to the influence of finite calculation accuracy and binary quantization method, the performance of chaotic binary sequences has been degraded in varying degrees, and some sequences emerge as multi-period phenomena. Aiming at the problem that it is difficult to accurately detect this phenomenon, this paper proposes a multi-period positioning algorithm (MPPA), which can accurately detect and locate the accurate period and local period phenomena contained in chaotic binary sequences. In order to test the effectiveness and correctness of the algorithm, the multi-period characteristics of logistic binary sequences with different calculation accuracy are analyzed. MPPA evaluates the randomness of binary sequences from a new perspective, which provides a new idea for the analysis of cryptographic security of chaotic sequences. MDPI 2022-02-25 /pmc/articles/PMC8946870/ /pubmed/35327842 http://dx.doi.org/10.3390/e24030331 Text en © 2022 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Fan, Chunlei
Ding, Qun
Detection and Location of Multi-Period Phenomena in Chaotic Binary Sequences
title Detection and Location of Multi-Period Phenomena in Chaotic Binary Sequences
title_full Detection and Location of Multi-Period Phenomena in Chaotic Binary Sequences
title_fullStr Detection and Location of Multi-Period Phenomena in Chaotic Binary Sequences
title_full_unstemmed Detection and Location of Multi-Period Phenomena in Chaotic Binary Sequences
title_short Detection and Location of Multi-Period Phenomena in Chaotic Binary Sequences
title_sort detection and location of multi-period phenomena in chaotic binary sequences
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8946870/
https://www.ncbi.nlm.nih.gov/pubmed/35327842
http://dx.doi.org/10.3390/e24030331
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