Image Encryption based on novel Hill Cipher Variant and 2D-IGSCM Hyper-chaotic Map

Image Encryption based on novel Hill Cipher Variant and 2D-IGSCM Hyper-chaotic Map | 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 Image Encryption based on novel Hill Cipher Variant and 2D-IGSCM Hyper-chaotic Map Yuxiao Zheng, Qingye Huang, Shuting Cai, Xiaoming Xiong, Linqing Huang This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4441118/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 22 Sep, 2024 Read the published version in Nonlinear Dynamics → Version 1 posted 10 You are reading this latest preprint version Abstract Hill Cipher(HC) is a simple and fast encryption technique that is suitable for encrypting images with large data volume, but it still has some shortcomings like failing to effectively hide all image features and encrypt uniform backgrounds, and relying on the use of reversible matrices. In this paper, firstly, a new two-dimensional Iterative Gaussian Sine chaotic map(2D-IGSCM) with heightened ergodicity and unpredictability is introduced. Then, in addressing the various deficiencies of the HC, we propose an improved three-dimensional Hill Cipher(3D-HC) model where a dynamic column vector based on chaotic sequences generated by 2D-IGSCM is utilized to enhance encryption effects. Finally, based on the 2D-IGSCM and 3D-HC model, an image encryption method is proposed. Experimental results and security analysis exhibit that the proposed algorithm possesses excellent security characteristics and high efficiency. Hill Cipher Image Encryption 2D-IGSCM 3D-HC model Efficiency Security Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Published Journal Publication published 22 Sep, 2024 Read the published version in Nonlinear Dynamics → Version 1 posted Editorial decision: Revision requested 13 Aug, 2024 Reviews received at journal 27 Jun, 2024 Reviews received at journal 26 Jun, 2024 Reviewers agreed at journal 05 Jun, 2024 Reviewers agreed at journal 05 Jun, 2024 Reviewers agreed at journal 05 Jun, 2024 Reviewers invited by journal 05 Jun, 2024 Editor assigned by journal 27 May, 2024 Submission checks completed at journal 21 May, 2024 First submitted to journal 18 May, 2024 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. 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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-4441118","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":309437814,"identity":"b40890cc-9157-403b-9cd4-fead16f8f679","order_by":0,"name":"Yuxiao Zheng","email":"","orcid":"","institution":"Guangdong University of Technology","correspondingAuthor":false,"prefix":"","firstName":"Yuxiao","middleName":"","lastName":"Zheng","suffix":""},{"id":309437815,"identity":"3f5acb97-60ac-46cf-b0bb-1f624da2e20a","order_by":1,"name":"Qingye Huang","email":"","orcid":"","institution":"Guangdong University of Technology","correspondingAuthor":false,"prefix":"","firstName":"Qingye","middleName":"","lastName":"Huang","suffix":""},{"id":309437816,"identity":"e02a57ad-c2bd-44d4-83cc-f3b3a7f3e9ee","order_by":2,"name":"Shuting Cai","email":"","orcid":"","institution":"Guangdong University of Technology","correspondingAuthor":false,"prefix":"","firstName":"Shuting","middleName":"","lastName":"Cai","suffix":""},{"id":309437817,"identity":"55cbbcd2-46a2-4e74-829d-a1ff7ad23d04","order_by":3,"name":"Xiaoming Xiong","email":"","orcid":"","institution":"Guangdong University of Technology","correspondingAuthor":false,"prefix":"","firstName":"Xiaoming","middleName":"","lastName":"Xiong","suffix":""},{"id":309437818,"identity":"c1e2f89b-d681-46e6-b866-1a763838e2b5","order_by":4,"name":"Linqing Huang","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAr0lEQVRIiWNgGAWjYBACA3YGxgcMbBA2kVqYGZgNgFokSNLCJkGaFnNm5m2VX8oO1zGwN2+TYKi5Q1iLZTNb2W2Zc4clGHiOlUkwHHtGhMMO85jdlmwDapHIMZNgbDhMnJZisBb5NyRoYfwItoWHaC1sxdIM59Il23jSii0SjhGj5Xjzxo8/yqz5+dkPb7zxoYYILSBdzDxAEpwAEojSANTC+INIlaNgFIyCUTBCAQC46jJ+KOQGmwAAAABJRU5ErkJggg==","orcid":"","institution":"Guangdong University of Technology","correspondingAuthor":true,"prefix":"","firstName":"Linqing","middleName":"","lastName":"Huang","suffix":""}],"badges":[],"createdAt":"2024-05-18 13:02:24","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-4441118/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-4441118/v1","draftVersion":[],"editorialEvents":[{"content":"https://doi.org/10.1007/s11071-024-10324-4","type":"published","date":"2024-09-22T15:57:55+00:00"}],"editorialNote":"","failedWorkflow":false,"files":[{"id":65104429,"identity":"b9cbb35e-60cc-49f1-bf1a-1202f04f6bac","added_by":"auto","created_at":"2024-09-23 16:13:19","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":14801173,"visible":true,"origin":"","legend":"","description":"","filename":"manuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-4441118/v1_covered_b69581ec-0c33-4b49-8afc-f2c8852c084d.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Image Encryption based on novel Hill Cipher Variant and 2D-IGSCM Hyper-chaotic Map","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":false,"highlight":"","institution":"","isAcceptedByJournal":true,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"nonlinear-dynamics","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"nody","sideBox":"Learn more about [Nonlinear Dynamics](https://www.springer.com/journal/11071)","snPcode":"11071","submissionUrl":"https://submission.nature.com/new-submission/11071/3","title":"Nonlinear Dynamics","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"stoa","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"Hill Cipher, Image Encryption, 2D-IGSCM, 3D-HC model, Efficiency, Security","lastPublishedDoi":"10.21203/rs.3.rs-4441118/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-4441118/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":" Hill Cipher(HC) is a simple and fast encryption technique that is suitable for encrypting images with large data volume, but it still has some shortcomings like failing to effectively hide all image features and encrypt uniform backgrounds, and relying on the use of reversible matrices. 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