Chaotic Hénon–Logistic Map Integration: A Powerful Approach for Safeguarding Digital Images

This paper presents an integrated chaos-based algorithm for image encryption that combines the chaotic Hénon map and chaotic logistic map (CLM) to enhance the security of digital image communication. The proposed method leverages chaos theory to generate cryptographic keys, utilizing a 1D key from t...

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Main Authors: Abeer Al-Hyari, Mua’ad Abu-Faraj, Charlie Obimbo, Moutaz Alazab
Format: Article
Language:English
Published: MDPI AG 2025-02-01
Series:Journal of Cybersecurity and Privacy
Subjects:
Online Access:https://www.mdpi.com/2624-800X/5/1/8
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author Abeer Al-Hyari
Mua’ad Abu-Faraj
Charlie Obimbo
Moutaz Alazab
author_facet Abeer Al-Hyari
Mua’ad Abu-Faraj
Charlie Obimbo
Moutaz Alazab
author_sort Abeer Al-Hyari
collection DOAJ
description This paper presents an integrated chaos-based algorithm for image encryption that combines the chaotic Hénon map and chaotic logistic map (CLM) to enhance the security of digital image communication. The proposed method leverages chaos theory to generate cryptographic keys, utilizing a 1D key from the logistic map generator and a 2D key from the chaotic Hénon map generator. These chaotic maps produce highly unpredictable and complex keys essential for robust encryption. Extensive experiments demonstrate the algorithm’s resilience against various attacks, including chosen-plaintext, noise, clipping, occlusion, and known-plaintext attacks. Performance evaluation in terms of encryption time, throughput, and image quality metrics validates the effectiveness of the proposed integrated approach. The results indicate that the chaotic Hénon–logistic map integration provides a powerful and secure method for safeguarding digital images during transmission and storage with a key space that reaches up to <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mn>2</mn><mn>200</mn></msup></semantics></math></inline-formula>. Moreover, the algorithm has potential applications in secure image sharing, cloud storage, and digital forensics, inspiring new possibilities.
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institution OA Journals
issn 2624-800X
language English
publishDate 2025-02-01
publisher MDPI AG
record_format Article
series Journal of Cybersecurity and Privacy
spelling doaj-art-e0ec30424e19434988da86e62401d4f82025-08-20T02:11:03ZengMDPI AGJournal of Cybersecurity and Privacy2624-800X2025-02-0151810.3390/jcp5010008Chaotic Hénon–Logistic Map Integration: A Powerful Approach for Safeguarding Digital ImagesAbeer Al-Hyari0Mua’ad Abu-Faraj1Charlie Obimbo2Moutaz Alazab3Electrical Engineering Department, Al-Balqa Applied University, Al-Salt 19117, JordanDepartment of Computer Information Systems, The University of Jordan, Aqaba 77110, JordanSchool of Computer Science, University of Guelph, Guelph, ON N1G 2W1, CanadaDepartment of Intelligent Systems, Faculty of Artificial Intelligence, Al-Balqa Applied University, Al-Salt 19385, JordanThis paper presents an integrated chaos-based algorithm for image encryption that combines the chaotic Hénon map and chaotic logistic map (CLM) to enhance the security of digital image communication. The proposed method leverages chaos theory to generate cryptographic keys, utilizing a 1D key from the logistic map generator and a 2D key from the chaotic Hénon map generator. These chaotic maps produce highly unpredictable and complex keys essential for robust encryption. Extensive experiments demonstrate the algorithm’s resilience against various attacks, including chosen-plaintext, noise, clipping, occlusion, and known-plaintext attacks. Performance evaluation in terms of encryption time, throughput, and image quality metrics validates the effectiveness of the proposed integrated approach. The results indicate that the chaotic Hénon–logistic map integration provides a powerful and secure method for safeguarding digital images during transmission and storage with a key space that reaches up to <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mn>2</mn><mn>200</mn></msup></semantics></math></inline-formula>. Moreover, the algorithm has potential applications in secure image sharing, cloud storage, and digital forensics, inspiring new possibilities.https://www.mdpi.com/2624-800X/5/1/8chaotic logistic mapschaotic Hénon mapthroughputcryptography
spellingShingle Abeer Al-Hyari
Mua’ad Abu-Faraj
Charlie Obimbo
Moutaz Alazab
Chaotic Hénon–Logistic Map Integration: A Powerful Approach for Safeguarding Digital Images
Journal of Cybersecurity and Privacy
chaotic logistic maps
chaotic Hénon map
throughput
cryptography
title Chaotic Hénon–Logistic Map Integration: A Powerful Approach for Safeguarding Digital Images
title_full Chaotic Hénon–Logistic Map Integration: A Powerful Approach for Safeguarding Digital Images
title_fullStr Chaotic Hénon–Logistic Map Integration: A Powerful Approach for Safeguarding Digital Images
title_full_unstemmed Chaotic Hénon–Logistic Map Integration: A Powerful Approach for Safeguarding Digital Images
title_short Chaotic Hénon–Logistic Map Integration: A Powerful Approach for Safeguarding Digital Images
title_sort chaotic henon logistic map integration a powerful approach for safeguarding digital images
topic chaotic logistic maps
chaotic Hénon map
throughput
cryptography
url https://www.mdpi.com/2624-800X/5/1/8
work_keys_str_mv AT abeeralhyari chaotichenonlogisticmapintegrationapowerfulapproachforsafeguardingdigitalimages
AT muaadabufaraj chaotichenonlogisticmapintegrationapowerfulapproachforsafeguardingdigitalimages
AT charlieobimbo chaotichenonlogisticmapintegrationapowerfulapproachforsafeguardingdigitalimages
AT moutazalazab chaotichenonlogisticmapintegrationapowerfulapproachforsafeguardingdigitalimages