Lattice-Based Post-Quantum Access Control with Fair Resource Allocation via Convex Optimization

Lattice-Based Post-Quantum Access Control with Fair Resource Allocation via Convex Optimization | 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 Article Lattice-Based Post-Quantum Access Control with Fair Resource Allocation via Convex Optimization Rex Igwe This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-7635870/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 We present a lattice-based framework for post-quantum access control that integrates fairness-aware resource allocation without compromising cryptographic security. Building on the hardness of Learning with Errors (LWE) and Ring-LWE problems, we introduce a generalized lattice function combined with convex optimization to balance computational efficiency and equitable distribution of cryptographic resources. Formal analysis establishes convergence guarantees for fairness-aware allocation in large-scale systems. Empirical validation across blockchain networks, cloud storage, and smart grid datasets demonstrates a 41.3% reduction in fairness loss and a 39.7% improvement in resource retention accuracy compared with baseline lattice protocols. These results highlight the scalability and robustness of the proposed scheme, providing a mathematically grounded extension of lattice-based cryptography for secure and fair post-quantum infrastructures. Physical sciences/Engineering Physical sciences/Mathematics and computing Post-Quantum Cryptography Lattice-Based Cryptography Access Control Fair Resource Allocation Convex Optimization Blockchain 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. 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-7635870","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Article","associatedPublications":[],"authors":[{"id":526685856,"identity":"bb21816b-1c6f-4ee5-872f-cf36892b9a93","order_by":0,"name":"Rex Igwe","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA1klEQVRIiWNgGAWjYJACZgaGBAYw/gBhkaCFcQbJWph5iNFi3t5j+LmwLS1xw/Ec0822bXZ5/OwNjB8+5uDWInPmWLL0zLacxA1n3pjdzm1LLpbsOcAsOXMbbi0SEsnHmHnbKnI33MgBaWFO3HAjgY2ZF58W+YdtCC2WbfVEaJFgBtmSA9HC2HaYCC08acnSPOfS6meeeVZ2s+fc8cSZPQeb8fuF/YzhZ56yZGO+48nbbvwoq07sZ28++OEjHi2ogJENTDYQqx4E/pCieBSMglEwCkYKAADG9VV3hs8dewAAAABJRU5ErkJggg==","orcid":"","institution":"Rivers State University","correspondingAuthor":true,"prefix":"","firstName":"Rex","middleName":"","lastName":"Igwe","suffix":""}],"badges":[],"createdAt":"2025-09-17 05:33:07","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-7635870/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-7635870/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":93153204,"identity":"75050774-cec9-4fb6-b00d-9809040ae347","added_by":"auto","created_at":"2025-10-09 15:06:42","extension":"docx","order_by":0,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":1136356,"visible":true,"origin":"","legend":"","description":"","filename":"LatticeBasedRevised2.docx","url":"https://assets-eu.researchsquare.com/files/rs-7635870/v1/51a432134a4d1f88ea92898b.docx"},{"id":93153200,"identity":"ae2bb187-9b35-4c96-a43b-42817a6f6055","added_by":"auto","created_at":"2025-10-09 15:06:42","extension":"json","order_by":1,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":3401,"visible":true,"origin":"","legend":"","description":"","filename":"2039477b28ea4d9eb9aae7490acd198e.json","url":"https://assets-eu.researchsquare.com/files/rs-7635870/v1/7d584aca773745937d5ea7c9.json"},{"id":93153207,"identity":"b69e8480-dab4-40a3-9edf-0965356bbe10","added_by":"auto","created_at":"2025-10-09 15:06:42","extension":"xml","order_by":2,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":77671,"visible":true,"origin":"","legend":"","description":"","filename":"2039477b28ea4d9eb9aae7490acd198e1enriched.xml","url":"https://assets-eu.researchsquare.com/files/rs-7635870/v1/32ab78654d3ee11be6c78276.xml"},{"id":93153203,"identity":"87bea078-95a0-408f-a0db-1a0e56092bd6","added_by":"auto","created_at":"2025-10-09 15:06:42","extension":"png","order_by":3,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":96883,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage1.png","url":"https://assets-eu.researchsquare.com/files/rs-7635870/v1/8732a0bce458503b09dbf7db.png"},{"id":93153205,"identity":"bdb7df2b-786e-49ce-a202-d6defca3b5da","added_by":"auto","created_at":"2025-10-09 15:06:42","extension":"png","order_by":4,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":291857,"visible":true,"origin":"","legend":"","description":"","filename":"floatimage2.png","url":"https://assets-eu.researchsquare.com/files/rs-7635870/v1/55c986c7d3074ba0d9de9c84.png"},{"id":93154188,"identity":"6e0adfc1-2d50-4735-931f-c36dfda91b43","added_by":"auto","created_at":"2025-10-09 15:14:42","extension":"png","order_by":5,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":35624,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage1.png","url":"https://assets-eu.researchsquare.com/files/rs-7635870/v1/2d00922538ac85c6c4e4a3f9.png"},{"id":93153201,"identity":"aa5eb520-f07e-4f71-82b8-44f2bcfcdd6b","added_by":"auto","created_at":"2025-10-09 15:06:42","extension":"png","order_by":6,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":35064,"visible":true,"origin":"","legend":"","description":"","filename":"Onlinefloatimage2.png","url":"https://assets-eu.researchsquare.com/files/rs-7635870/v1/abae673701d9c4ae7a3d7639.png"},{"id":93153206,"identity":"3e4e4bc9-195d-4376-a2f0-cb3bd375755e","added_by":"auto","created_at":"2025-10-09 15:06:42","extension":"xml","order_by":7,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":75217,"visible":true,"origin":"","legend":"","description":"","filename":"2039477b28ea4d9eb9aae7490acd198e1structuring.xml","url":"https://assets-eu.researchsquare.com/files/rs-7635870/v1/07307c19252a7bd538d0ceac.xml"},{"id":93153208,"identity":"72f52a5c-81fd-4ab4-b6b1-13aa4d69da09","added_by":"auto","created_at":"2025-10-09 15:06:42","extension":"html","order_by":8,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":90773,"visible":true,"origin":"","legend":"","description":"","filename":"earlyproof.html","url":"https://assets-eu.researchsquare.com/files/rs-7635870/v1/d3fb1088e0373883c779a114.html"},{"id":94474950,"identity":"1d177cd2-3120-4705-a0bb-bcc7f5b99e00","added_by":"auto","created_at":"2025-10-27 15:50:56","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":541594,"visible":true,"origin":"","legend":"","description":"","filename":"LatticeBasedRevised2.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7635870/v1_covered_beaaac6e-b300-445b-bef2-8a6843789f73.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Lattice-Based Post-Quantum Access Control with Fair Resource Allocation via Convex Optimization","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"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":"Post-Quantum Cryptography, Lattice-Based Cryptography, Access Control, Fair Resource Allocation, Convex Optimization, Blockchain Security","lastPublishedDoi":"10.21203/rs.3.rs-7635870/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-7635870/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eWe present a lattice-based framework for post-quantum access control that integrates fairness-aware resource allocation without compromising cryptographic security. Building on the hardness of Learning with Errors (LWE) and Ring-LWE problems, we introduce a generalized lattice function combined with convex optimization to balance computational efficiency and equitable distribution of cryptographic resources. Formal analysis establishes convergence guarantees for fairness-aware allocation in large-scale systems. Empirical validation across blockchain networks, cloud storage, and smart grid datasets demonstrates a 41.3% reduction in fairness loss and a 39.7% improvement in resource retention accuracy compared with baseline lattice protocols. These results highlight the scalability and robustness of the proposed scheme, providing a mathematically grounded extension of lattice-based cryptography for secure and fair post-quantum infrastructures.\u003c/p\u003e","manuscriptTitle":"Lattice-Based Post-Quantum Access Control with Fair Resource Allocation via Convex Optimization","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2025-10-09 15:06:37","doi":"10.21203/rs.3.rs-7635870/v1","editorialEvents":[{"type":"communityComments","content":0}],"status":"published","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}}],"origin":"","ownerIdentity":"e9ebf10c-e94f-46f3-b3aa-e22b5ee5d390","owner":[],"postedDate":"October 9th, 2025","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[{"id":55983249,"name":"Physical sciences/Engineering"},{"id":55983250,"name":"Physical sciences/Mathematics and computing"}],"tags":[],"updatedAt":"2025-10-27T14:40:58+00:00","versionOfRecord":[],"versionCreatedAt":"2025-10-09 15:06:37","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-7635870","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-7635870","identity":"rs-7635870","version":["v1"]},"buildId":"8U1c8b4HqxoKbykW_rLl7","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}