Constructing a non-degenerate 2D chaotic map with application in irreversible PRNG.
Saved in:
| Title: | Constructing a non-degenerate 2D chaotic map with application in irreversible PRNG. |
|---|---|
| Authors: | Zhou, Qingzhen1 (AUTHOR) zbzqz090112@126.com |
| Source: | Multimedia Tools & Applications. May2025, Vol. 84 Issue 17, p17893-17906. 14p. |
| Subjects: | Lyapunov exponents, Inverse functions, Generating functions, Phase diagrams, Exponentiation |
| Abstract: | To solve the weakness of reversibility that exited in some pseudo-random number generators (PRNGs), we designed an enhanced chaos-based irreversible PRNG, in which the irreversibility is implemented through embedding the modular exponentiation into chaotic map, whose inverse function can generate discrete logarithm problem (DLP). First, a non-degenerate 2D exponential hyper chaotic map (2D-EHCM) was constructed, and its dynamic behaviors, such as phase diagram, Lyapunov exponent, Kolmogorov entropy, correlation dimension and randomness, were analyzed and tested. The results demonstrated that the state point trajectories of the 2D-EHCM have ergodicity and strong connection in phase space and a larger range of control parameter. Statistics and security analysis results demonstrated its effectiveness and robustness of the proposed enhanced PRNG with irreversibility. [ABSTRACT FROM AUTHOR] |
| Copyright of Multimedia Tools & Applications is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
|
Full text is not displayed to guests.
Login for full access.
|
|
| FullText | Links: – Type: pdflink Text: Availability: 1 |
|---|---|
| Header | DbId: egs DbLabel: Engineering Source An: 185425910 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
| IllustrationInfo | |
| Items | – Name: Title Label: Title Group: Ti Data: Constructing a non-degenerate 2D chaotic map with application in irreversible PRNG. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Zhou%2C+Qingzhen%22">Zhou, Qingzhen</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> zbzqz090112@126.com</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Multimedia+Tools+%26+Applications%22">Multimedia Tools & Applications</searchLink>. May2025, Vol. 84 Issue 17, p17893-17906. 14p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Lyapunov+exponents%22">Lyapunov exponents</searchLink><br /><searchLink fieldCode="DE" term="%22Inverse+functions%22">Inverse functions</searchLink><br /><searchLink fieldCode="DE" term="%22Generating+functions%22">Generating functions</searchLink><br /><searchLink fieldCode="DE" term="%22Phase+diagrams%22">Phase diagrams</searchLink><br /><searchLink fieldCode="DE" term="%22Exponentiation%22">Exponentiation</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: To solve the weakness of reversibility that exited in some pseudo-random number generators (PRNGs), we designed an enhanced chaos-based irreversible PRNG, in which the irreversibility is implemented through embedding the modular exponentiation into chaotic map, whose inverse function can generate discrete logarithm problem (DLP). First, a non-degenerate 2D exponential hyper chaotic map (2D-EHCM) was constructed, and its dynamic behaviors, such as phase diagram, Lyapunov exponent, Kolmogorov entropy, correlation dimension and randomness, were analyzed and tested. The results demonstrated that the state point trajectories of the 2D-EHCM have ergodicity and strong connection in phase space and a larger range of control parameter. Statistics and security analysis results demonstrated its effectiveness and robustness of the proposed enhanced PRNG with irreversibility. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Multimedia Tools & Applications is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=185425910 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s11042-024-19787-4 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 14 StartPage: 17893 Subjects: – SubjectFull: Lyapunov exponents Type: general – SubjectFull: Inverse functions Type: general – SubjectFull: Generating functions Type: general – SubjectFull: Phase diagrams Type: general – SubjectFull: Exponentiation Type: general Titles: – TitleFull: Constructing a non-degenerate 2D chaotic map with application in irreversible PRNG. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Zhou, Qingzhen IsPartOfRelationships: – BibEntity: Dates: – D: 25 M: 05 Text: May2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 13807501 Numbering: – Type: volume Value: 84 – Type: issue Value: 17 Titles: – TitleFull: Multimedia Tools & Applications Type: main |
| ResultId | 1 |
