A new 2D-HLSM-CECP hyperchaotic map and its application on image encryption using fractal-based permutation and cross coupled diffusion

A new 2D-HLSM-CECP hyperchaotic map and its application on image encryption using fractal-based permutation and cross coupled diffusion | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article A new 2D-HLSM-CECP hyperchaotic map and its application on image encryption using fractal-based permutation and cross coupled diffusion Zeyu Zhang, Wenqiang Zhang, Mingxu Wang, Na Ren, Liming Wang, and 3 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4081726/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract To enhance the security of the image encryption algorithm (IEA) based on chaotic system, this paper firstly introduced a new hyperchaotic map called two-dimensional hyperchaotic Logistic-Sine map coupled exponential control parameter (2D-HLSM-CECP) coupled with the two-dimensional Logistic map and the Sine map, which displays better hyperchaotic behavior and randomness than some existing chaotic systems. Then, this work further represents a novel IEA based on 2D-HLSM-CECP, fractal sorting matrix and cross coupled diffusion. The new 2D-HLSM-CECP is used to generate two chaotic sequences, which played a significant role in the whole encryption and decryption part. All pixels of the plain-image are confused and diffused based on fractal sorting matrix and global cross coupled operation respectively. Theoretical analysis and simulation results demonstrate that the 2D-HLSM-CECP-IEA has splendid achievement in well-known security indicators. Thus, the 2D-HLSM-CECP-IEA is highly secure as a conclusion. 2D hyperchaotic map Exponential control parameter Fractal sorting matrix Global cross coupled diffusion Image encryption Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-4081726","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":279086463,"identity":"9138496e-f723-4bf1-84ad-0a4733338a32","order_by":0,"name":"Zeyu Zhang","email":"","orcid":"","institution":"Northeastern University","correspondingAuthor":false,"prefix":"","firstName":"Zeyu","middleName":"","lastName":"Zhang","suffix":""},{"id":279086464,"identity":"1b7669de-ef06-401e-a510-6dcfc89f9066","order_by":1,"name":"Wenqiang 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