NumCrypTech: A Matrix-Based Cryptographic Model Leveraging Numerical Analysis for Secure Data and File Transmission

NumCrypTech: A Matrix-Based Cryptographic Model Leveraging Numerical Analysis for Secure Data and File Transmission | 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 NumCrypTech: A Matrix-Based Cryptographic Model Leveraging Numerical Analysis for Secure Data and File Transmission Shu’aib Jama Hassan This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-7447783/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 Cryptography plays a fundamental role in safeguarding information in the digital era. This paper presents NumCrypTech, a web-based encryption platform that integrates classical cryptographic principles with numerical analysis techniques to deliver secure and user-friendly data protection. The system applies modular arithmetic and concepts from number theory within a matrix-based framework to achieve strong encryption while maintaining computational efficiency. Implemented using HTML, CSS, and JavaScript , NumCrypTech provides an interactive and intuitive interface, enabling users to encrypt and decrypt text and files seamlessly. In addition to its security functionality, the platform emphasizes education by incorporating dynamic visualizations that illustrate the mathematical operations underlying cryptographic processes, including modular arithmetic and prime-based algorithms. This dual approach bridges the gap between theoretical cryptography and practical application, making advanced concepts more accessible to learners while ensuring real-world usability. Designed for both educational and security purposes, NumCrypTech empowers users to experiment with multiple encryption techniques and understand their mathematical foundations. The project highlights the potential of integrating numerical analysis with applied cryptography to enhance digital security, offering a practical solution for secure communication and a valuable tool for cryptography education. Cryptography modular arithmetic matrix encryption numerical analysis Hill cipher web-based application data security 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. 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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-7447783","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":504873938,"identity":"78209592-e1a8-4956-b51e-88c81fe9af85","order_by":0,"name":"Shu’aib Jama Hassan","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABA0lEQVRIiWNgGAWjYDACCSBObGBgBlKMD8AiByCCRGlhNiBeC2MDmMkmQZQW+dk9hh8e7mBg5592+FnFzxybxL4DzAdv8zDUyeHSYnDnjLFE4hkGZonbaWY3e7elJc48wJZszcNw2BinFokcA4nENqBfbieY3eDddjhxwwEeM2kehgOJDbgcNiPH+AdIi/zt9G+Ff8Fa+L8BtdTh1MJwI8cMbIvB7RwzZqgtbEAtzDi1GNxIK7NIPCPBbHg7p1hadlua8czDbMaWcwxw+0V+RvLmmz932CTL3U7f+PHtNhvZvuPND2+8qcAdYlAgkYxgM4NtJ6ABCOwIKxkFo2AUjIIRCwBa31dN2HQedAAAAABJRU5ErkJggg==","orcid":"","institution":"Amoud University","correspondingAuthor":true,"prefix":"","firstName":"Shu’aib","middleName":"Jama","lastName":"Hassan","suffix":""}],"badges":[],"createdAt":"2025-08-24 18:08:16","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-7447783/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-7447783/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":90073160,"identity":"e42b281c-c1f0-444f-8e60-067192f5418c","added_by":"auto","created_at":"2025-08-28 07:25:50","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":456781,"visible":true,"origin":"","legend":"","description":"","filename":"NumCrypTechFullPaper.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7447783/v1_covered_63faa1c7-b228-4037-b17c-89bb1ef3299e.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"NumCrypTech: A Matrix-Based Cryptographic Model Leveraging Numerical Analysis for Secure Data and File Transmission","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":true,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true},"keywords":"Cryptography, modular arithmetic, matrix encryption, numerical analysis, Hill cipher, web-based application, data security","lastPublishedDoi":"10.21203/rs.3.rs-7447783/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-7447783/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003e\u003cstrong\u003eCryptography plays a fundamental role in safeguarding information in the digital era. 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