{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,3]],"date-time":"2026-08-03T11:17:49Z","timestamp":1785755869322,"version":"3.56.0"},"reference-count":48,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2025,2,18]],"date-time":"2025-02-18T00:00:00Z","timestamp":1739836800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Qatar National Library"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["JCP"],"abstract":"<jats:p>This paper presents an integrated chaos-based algorithm for image encryption that combines the chaotic H\u00e9non 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 H\u00e9non map generator. These chaotic maps produce highly unpredictable and complex keys essential for robust encryption. Extensive experiments demonstrate the algorithm\u2019s 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 H\u00e9non\u2013logistic map integration provides a powerful and secure method for safeguarding digital images during transmission and storage with a key space that reaches up to 2200. Moreover, the algorithm has potential applications in secure image sharing, cloud storage, and digital forensics, inspiring new possibilities.<\/jats:p>","DOI":"10.3390\/jcp5010008","type":"journal-article","created":{"date-parts":[[2025,2,18]],"date-time":"2025-02-18T08:36:19Z","timestamp":1739867779000},"page":"8","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":11,"title":["Chaotic H\u00e9non\u2013Logistic Map Integration: A Powerful Approach for Safeguarding Digital Images"],"prefix":"10.3390","volume":"5","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0295-9691","authenticated-orcid":false,"given":"Abeer","family":"Al-Hyari","sequence":"first","affiliation":[{"name":"Electrical Engineering Department, Al-Balqa Applied University, Al-Salt 19117, Jordan"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2489-4857","authenticated-orcid":false,"given":"Mua\u2019ad","family":"Abu-Faraj","sequence":"additional","affiliation":[{"name":"Department of Computer Information Systems, The University of Jordan, Aqaba 77110, Jordan"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9422-1522","authenticated-orcid":false,"given":"Charlie","family":"Obimbo","sequence":"additional","affiliation":[{"name":"School of Computer Science, University of Guelph, Guelph, ON N1G 2W1, Canada"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2823-4776","authenticated-orcid":false,"given":"Moutaz","family":"Alazab","sequence":"additional","affiliation":[{"name":"Department of Intelligent Systems, Faculty of Artificial Intelligence, Al-Balqa Applied University, Al-Salt 19385, Jordan"},{"name":"Cybersecurity Department, School of Computing and Data Sciences, Oryx Universal College with Liverpool John Moores University, Doha 34110, Qatar"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2025,2,18]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Abu-Faraj, M., Al-Hyari, A., and Alqadi, Z. (2022). A Complex Matrix Private Key to Enhance the Security Level of Image Cryptography. Symmetry, 14.","DOI":"10.3390\/sym14040664"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"896","DOI":"10.1109\/TIP.2018.2874378","article-title":"Improving the visual quality of size-invariant visual cryptography for grayscale images: An analysis-by-synthesis (AbS) approach","volume":"28","author":"Yan","year":"2018","journal-title":"IEEE Trans. Image Process."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"9163","DOI":"10.1007\/s11042-018-7144-5","article-title":"A Novel Image Encryption Algorithm Based on Hybrid Chaotic Mapping and Intelligent Learning in Financial Security System","volume":"79","author":"Pan","year":"2020","journal-title":"Multimed. Tools Appl."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"809","DOI":"10.5267\/j.ijdns.2023.1.008","article-title":"Increasing the Security of Transmitted Text Messages Using Chaotic Key and Image Key Cryptography","volume":"7","author":"Alqadi","year":"2023","journal-title":"Int. J. Data Netw. Sci."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"1017","DOI":"10.18576\/amis\/160619","article-title":"Building a Secure Image Cryptography System using Parallel Processing and Complicated Dynamic Length Private Key","volume":"16","author":"Alqadi","year":"2022","journal-title":"Appl. Math. Inf. Sci."},{"key":"ref_6","doi-asserted-by":"crossref","unstructured":"Abu-Faraj, M., Al-Hyari, A., Obimbo, C., Aldebei, K., Altaharwa, I., Alqadi, Z., and Almanaseer, O. (2023). Protecting Digital Images Using Keys Enhanced by 2D Chaotic Logistic Maps. Cryptography, 7.","DOI":"10.3390\/cryptography7020020"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"4825","DOI":"10.1109\/ACCESS.2024.3349470","article-title":"Generating Powerful Encryption Keys for Image Cryptography with Chaotic Maps by Incorporating Collatz Conjecture","volume":"12","author":"Obimbo","year":"2024","journal-title":"IEEE Access"},{"key":"ref_8","doi-asserted-by":"crossref","unstructured":"Chaudhary, N., Shahi, T.B., and Neupane, A. (2022). Secure Image Encryption Using Chaotic, Hybrid Chaotic and Block Cipher Approach. J. Imaging, 8.","DOI":"10.3390\/jimaging8060167"},{"key":"ref_9","unstructured":"Bassham, L., Rukhin, A., Soto, J., Nechvatal, J., Smid, M., Leigh, S., Levenson, M., Vangel, M., Heckert, N., and Banks, D. (2023, April 16). A Statistical Test Suite for Random and Pseudorandom Number Generators for Cryptographic Applications, Available online: https:\/\/tsapps.nist.gov\/publication\/get_pdf.cfm?pub_id=906762."},{"key":"ref_10","doi-asserted-by":"crossref","unstructured":"Ibrahim, D., Ahmed, K., Abdallah, M., and Ali, A.A. (2022). A New Chaotic-Based RGB Image Encryption Technique Using a Nonlinear Rotational 16 \u00d7 16 DNA Playfair Matrix. Cryptography, 6.","DOI":"10.3390\/cryptography6020028"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"116905","DOI":"10.1109\/ACCESS.2024.3447239","article-title":"Optimization of Image Encryption Algorithm Based on Henon Mapping and Arnold Transformation of Chaotic Systems","volume":"12","author":"Wu","year":"2024","journal-title":"IEEE Access"},{"key":"ref_12","doi-asserted-by":"crossref","unstructured":"Jiang, Q., Yu, S., and Wang, Q. (2023). Cryptanalysis of an Image Encryption Algorithm Based on Two-Dimensional Hyperchaotic Map. Entropy, 25.","DOI":"10.3390\/e25030395"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"26257","DOI":"10.1109\/ACCESS.2022.3151174","article-title":"Provably Secure and Fast Color Image Encryption Algorithm Based on S-Boxes and Hyperchaotic Map","volume":"10","author":"Abduljabbar","year":"2022","journal-title":"IEEE Access"},{"key":"ref_14","first-page":"969","article-title":"Image encryption algorithm based on hyperchaotic Lorenz system and chaotic logistic map","volume":"11","author":"Liu","year":"2020","journal-title":"J. Ambient. Intell. Humaniz. Comput."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"107879","DOI":"10.1016\/j.optlastec.2022.107879","article-title":"Image encryption scheme based on discrete cosine Stockwell transform and DNA-level modulus diffusion","volume":"149","author":"Huang","year":"2022","journal-title":"Opt. Laser Technol."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"69388","DOI":"10.1109\/ACCESS.2022.3187317","article-title":"Rotation Left Digits to Enhance the Security Level of Message Blocks Cryptography","volume":"10","author":"Aldebei","year":"2022","journal-title":"IEEE Access"},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Ballesteros, D.M., Pe\u00f1a, J., and Renza, D. (2018). A Novel Image Encryption Scheme Based on Collatz Conjecture. Entropy, 20.","DOI":"10.3390\/e20120901"},{"key":"ref_18","doi-asserted-by":"crossref","unstructured":"Molato, A.D., Calanda, F.B., Sison, A.M., and Medina, R.P. (2022, January 20\u201322). LSB-based Random Embedding Image Steganography Technique Using Modified Collatz Conjecture. Proceedings of the 2022 7th International Conference on Signal and Image Processing (ICSIP), Suzhou, China.","DOI":"10.1109\/ICSIP55141.2022.9886754"},{"key":"ref_19","doi-asserted-by":"crossref","unstructured":"Wang, L., Ran, Q., and Ding, J. (2023). Image Encryption Using Quantum 3D Mobius Scrambling and 3D Hyper-Chaotic Henon Map. Entropy, 25.","DOI":"10.3390\/e25121629"},{"key":"ref_20","doi-asserted-by":"crossref","unstructured":"Jiang, M., and Yang, H. (2023). Image Encryption Using a New Hybrid Chaotic Map and Spiral Transformation. Entropy, 25.","DOI":"10.3390\/e25111516"},{"key":"ref_21","doi-asserted-by":"crossref","unstructured":"Jiang, M., and Yang, H. (2023). Image Encryption Algorithm Using Multi-Level Permutation and Improved Logistic-Chebyshev Coupled Map. Information, 14.","DOI":"10.3390\/info14080456"},{"key":"ref_22","first-page":"549","article-title":"Secure and Efficient Color Image Cryptography Using Two Secret Keys","volume":"Volume 7","author":"Boudhir","year":"2024","journal-title":"Proceedings of the Innovations in Smart Cities Applications"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1109\/MMUL.2024.3356494","article-title":"Cryptanalyzing an Image Encryption Algorithm Underpinned by 2-D Lag-Complex Logistic Map","volume":"31","author":"Li","year":"2024","journal-title":"IEEE Multimed."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"238","DOI":"10.23919\/JCC.2022.01.017","article-title":"Hybrid image compression-encryption scheme based on multilayer stacked autoencoder and logistic map","volume":"19","author":"Gupta","year":"2022","journal-title":"China Commun."},{"key":"ref_25","doi-asserted-by":"crossref","unstructured":"Reddy, V.S., Prasad, V.K., Wang, J., and Reddy, K.T.V. (2023). Review on the Image Encryption with Hyper-Chaotic Systems. Proceedings of the Soft Computing and Signal Processing, Springer Nature.","DOI":"10.1007\/978-981-19-8669-7"},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"40629","DOI":"10.1007\/s11042-023-16935-0","article-title":"An image cipher based on bio-molecular hyper chaotic system with dual diffusion scheme","volume":"83","author":"Rajendran","year":"2023","journal-title":"Multimed. Tools Appl."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"116031","DOI":"10.1109\/ACCESS.2022.3218668","article-title":"A Fast Image Encryption Algorithm Based on Improved 6-D Hyper-Chaotic System","volume":"10","author":"Chen","year":"2022","journal-title":"IEEE Access"},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"119284","DOI":"10.1109\/ACCESS.2023.3326848","article-title":"R3\u2014Rescale, Rotate, and Randomize: A Novel Image Cryptosystem Utilizing Chaotic and Hyper-Chaotic Systems","volume":"11","author":"Gabr","year":"2023","journal-title":"IEEE Access"},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.sigpro.2018.11.010","article-title":"A novel image encryption algorithm based on polynomial combination of chaotic maps and dynamic function generation","volume":"157","author":"Balafar","year":"2019","journal-title":"Signal Process."},{"key":"ref_30","first-page":"6615708","article-title":"A robust and fast image encryption scheme based on a mixing technique","volume":"2021","author":"Tiedeu","year":"2021","journal-title":"Secur. Commun. Netw."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"403","DOI":"10.1016\/j.ins.2018.12.048","article-title":"Cosine-transform-based chaotic system for image encryption","volume":"480","author":"Hua","year":"2019","journal-title":"Inf. Sci."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.optlaseng.2015.12.004","article-title":"Multiple-image encryption with bit-plane decomposition and chaotic maps","volume":"80","author":"Tang","year":"2016","journal-title":"Opt. Lasers Eng."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"7841","DOI":"10.1007\/s11042-018-6496-1","article-title":"Multiple-image encryption algorithm based on DNA encoding and chaotic system","volume":"78","author":"Zhang","year":"2019","journal-title":"Multimed. Tools Appl."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"194289","DOI":"10.1109\/ACCESS.2020.3032403","article-title":"Efficient Image Encryption Scheme Using Henon Map, Dynamic S-Boxes and Elliptic Curve Cryptography","volume":"8","author":"Ibrahim","year":"2020","journal-title":"IEEE Access"},{"key":"ref_35","doi-asserted-by":"crossref","unstructured":"Fan, W., Li, T., Wu, J., and Wu, J. (2023). Chaotic Color Image Encryption Based on Eight-Base DNA-Level Permutation and Diffusion. Entropy, 25.","DOI":"10.3390\/e25091268"},{"key":"ref_36","doi-asserted-by":"crossref","unstructured":"Shen, Y., Huang, J., Chen, L., Wen, T., Li, T., and Zhang, G. (2023). Fast and Secure Image Encryption Algorithm with Simultaneous Shuffling and Diffusion Based on a Time-Delayed Combinatorial Hyperchaos Map. Entropy, 25.","DOI":"10.3390\/e25050753"},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"88093","DOI":"10.1109\/ACCESS.2020.2990170","article-title":"Color Image Encryption Algorithm Based on Hyper-Chaos and DNA Computing","volume":"8","author":"Malik","year":"2020","journal-title":"IEEE Access"},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"536930","DOI":"10.1155\/2014\/536930","article-title":"A Chaotic Cryptosystem for Images Based on Henon and Arnold Cat Map","volume":"2014","author":"Soleymani","year":"2014","journal-title":"Sci. World J."},{"key":"ref_39","unstructured":"Pati, B., Panigrahi, C.R., Misra, S., Pujari, A.K., and Bakshi, S. (2019, January 21\u201323). A Fast Image Encryption Technique Using Henon Chaotic Map. Proceedings of the Progress in Advanced Computing and Intelligent Engineering, Bhubaneswar, India."},{"key":"ref_40","doi-asserted-by":"crossref","unstructured":"Wu, Y., Zeng, J., Dong, W., Li, X., Qin, D., and Ding, Q. (2022). A Novel Color Image Encryption Scheme Based on Hyperchaos and Hopfield Chaotic Neural Network. Entropy, 24.","DOI":"10.3390\/e24101474"},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"1358","DOI":"10.1016\/j.sigpro.2012.11.019","article-title":"Cryptanalysis of a one round chaos-based Substitution Permutation Network","volume":"93","author":"Arroyo","year":"2013","journal-title":"Signal Process."},{"key":"ref_42","unstructured":"Franzen, R. (2023, April 03). Kodak Lossless True Color Image Suite. Available online: http:\/\/r0k.us\/graphics\/kodak."},{"key":"ref_43","first-page":"107037","article-title":"A secure and efficient image encryption scheme based on DNA computing and dynamic S-boxes","volume":"90","author":"Li","year":"2021","journal-title":"Comput. Electr. Eng."},{"key":"ref_44","doi-asserted-by":"crossref","first-page":"111693","DOI":"10.1016\/j.chaos.2021.111693","article-title":"A new n-dimensional conservative chaos based on Generalized Hamiltonian System and its\u2019 applications in image encryption","volume":"154","author":"Liu","year":"2022","journal-title":"Chaos Solitons Fractals"},{"key":"ref_45","doi-asserted-by":"crossref","unstructured":"Zhou, S., He, P., and Kasabov, N. (2020). A Dynamic DNA Color Image Encryption Method Based on SHA-512. Entropy, 22.","DOI":"10.3390\/e22101091"},{"key":"ref_46","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1016\/j.optlaseng.2015.09.007","article-title":"A novel bit-level image encryption algorithm based on chaotic maps","volume":"78","author":"Xu","year":"2016","journal-title":"Opt. Lasers Eng."},{"key":"ref_47","doi-asserted-by":"crossref","first-page":"112017","DOI":"10.1016\/j.chaos.2022.112017","article-title":"Hidden coexisting hyperchaos of new memristive neuron model and its application in image encryption","volume":"158","author":"Lai","year":"2022","journal-title":"Chaos Solitons Fractals"},{"key":"ref_48","doi-asserted-by":"crossref","first-page":"61334","DOI":"10.1109\/ACCESS.2021.3073514","article-title":"A Novel Color Image Encryption Algorithm Based on Three-Dimensional Chaotic Maps and Reconstruction Techniques","volume":"9","author":"Qian","year":"2021","journal-title":"IEEE Access"}],"container-title":["Journal of Cybersecurity and Privacy"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2624-800X\/5\/1\/8\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,9]],"date-time":"2025-10-09T16:36:50Z","timestamp":1760027810000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2624-800X\/5\/1\/8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,2,18]]},"references-count":48,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2025,3]]}},"alternative-id":["jcp5010008"],"URL":"https:\/\/doi.org\/10.3390\/jcp5010008","relation":{},"ISSN":["2624-800X"],"issn-type":[{"value":"2624-800X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,2,18]]}}}