Application of Factorial and Binomial identities in Communications, Information and Cybersecurity

Application of Factorial and Binomial identities in Communications, Information and Cybersecurity | 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 Application of Factorial and Binomial identities in Communications, Information and Cybersecurity Chinnaraji Annamalai This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-1666072/v6 This work is licensed under a CC BY 4.0 License Status: Posted Version 6 posted You are reading this latest preprint version Show more versions Abstract This paper presents application of the binomial and factorial identities and expansions that are used in communications, information, and cybersecurity. Cybersecurity is the practice of protecting the computing systems, communication networks, data and programs from cyberattacks. Its objective is to reduce the risk of cyber-attacks and protect against the unauthorized exploitation of systems and networks. For this purposes, we need a strong security mathematical algorithm like RSA algorithm and Elliptic Curve Cryptography. In this connection, computing technique based on factorial and binomial identities is developed for the researchers who are working in communication and cybersecurity. Discrete Mathematics Theoretical Computer Science cybersecurity combinatorics factorial information communication Full Text Cite Share Download PDF Status: Posted Version 6 posted You are reading this latest preprint version Show more versions 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. 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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-1666072","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":109330645,"identity":"b78d7713-9b2b-486a-bc17-6e5ec8b1775a","order_by":0,"name":"Chinnaraji Annamalai","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAwUlEQVRIiWNgGAWjYLCCDwYSDBJQNg9ROhhnGEhIkKaFGagMroUw4J/de/CzTYFFnWT/2gMMP2oYZMwJaZG4cy5ZOgfoMGmJdwmMPccYeCwbCOm5kWMA1iInccaAgbeBgcfgAAEd8jdyjH9bQLUw/iVGi8GNHDNpBpDD+HsMmImyxRCoxbLHQEJy5gy+hMMyxyQIa5EDOuzGjz91/BLnzx58+KbGxp6gFgSQyGEAKiY+eoCA/wwpqkfBKBgFo2AkAQB1ijaAyOOZiQAAAABJRU5ErkJggg==","orcid":"https://orcid.org/0000-0002-0992-2584","institution":"Indian Institute of Technology, Kharagpur","correspondingAuthor":true,"submittingAuthor":false,"prefix":"","firstName":"Chinnaraji","middleName":"","lastName":"Annamalai","suffix":""}],"badges":[],"createdAt":"2022-05-17 15:01:27","currentVersionCode":6,"declarations":"","doi":"10.21203/rs.3.rs-1666072/v6","doiUrl":"https://doi.org/10.21203/rs.3.rs-1666072/v6","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":22095523,"identity":"154f0e39-a4e4-453d-9d85-4bb78661a7f3","added_by":"auto","created_at":"2022-05-31 19:19:42","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":257602,"visible":true,"origin":"","legend":"","description":"","filename":"NatureCommuni.pdf","url":"https://assets-eu.researchsquare.com/files/rs-1666072/v6_covered.pdf"}],"financialInterests":"","formattedTitle":"\u003cp\u003eApplication of Factorial and Binomial identities in Communications, Information and Cybersecurity\u003c/p\u003e\u003cp\u003e\u003cbr\u003e\u003c/p\u003e","fulltext":[{"header":"Full Text","content":"This preprint is available for \u003ca href='/article/rs-1666072/latest.pdf' target='_blank'\u003edownload as a PDF\u003c/a\u003e."}],"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":false,"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":"cybersecurity, combinatorics, factorial, information, communication","lastPublishedDoi":"10.21203/rs.3.rs-1666072/v6","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-1666072/v6","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eThis paper presents application of the binomial and factorial identities and expansions that are used in communications, information, and cybersecurity. Cybersecurity is the practice of protecting the computing systems, communication networks, data and programs from cyberattacks. Its objective is to reduce the risk of cyber-attacks and protect against the unauthorized exploitation of systems and networks. For this purposes, we need a strong security mathematical algorithm like RSA algorithm and Elliptic Curve Cryptography. 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