{"schema_version":"1.0","canonical_url":"https://patentable.app/patents/US-10469257","patent":{"patent_number":"US-10469257","title":"Matrix and key generation device, matrix and key generation system, matrix coupling device, matrix and key generation method, and program","assignee":null,"inventors":[],"filing_date":"2016-01-13T00:00:00.000Z","publication_date":"2019-11-05T00:00:00.000Z","cpc_codes":["H04L","H04L","H04L"],"num_claims":2,"abstract":"A vector generation unit generates a vector xn so that xn[i]≠xn[j] if kn[i]=kn[j] at i≠j. A set generation unit generates a set Bn,j so that individual elements correspond to combinations of the N−1 pieces of elements, which are individually selected from sets M0, . . . , MN−1 other than a set Mn, and xn[j] and the elements for all of the combinations are included. A matrix generation unit generates a matrix Tn′ so that the matrix Tn′ includes rows identical to Tn[j] in the number equal to the number of elements of the set Bn,j. A key generation unit generates a vector kn′ so that elements of the matrix Tn′ which correspond to a row identical to Tn[j] correspond to combinations of kn[j] and elements of the set Bn,j and further, the elements of the set Bn,j are different from each other when there are a plurality of rows identical to Tn[j]."},"analysis":{"summary":null,"layman_explanation":null,"technical_analysis":null,"business_analysis":null,"faqs":null,"topics":[],"tech_cluster":null},"seo":{"title":"Matrix and key generation device, matrix and key generation system, matrix coupling device, matrix and key generation method, and program","description":"A vector generation unit generates a vector xn so that xn[i]≠xn[j] if kn[i]=kn[j] at i≠j. A set generation unit generates a set Bn,j so that individual elements correspond to combinations of the N−1 p","keywords":[]},"attribution":{"source":"Patentable","source_url":"https://patentable.app","canonical_url":"https://patentable.app/patents/US-10469257","license":"CC-BY-4.0-like","license_terms":"AI-generated analysis on this page (summary, layman_explanation, technical_analysis, business_analysis, faqs) may be reused with attribution and a visible link back to the canonical URL above. Patent abstracts, claims, and bibliographic data are USPTO public domain.","required_link":"https://patentable.app/patents/US-10469257","citation_suggestion":"Patentable. \"Matrix and key generation device, matrix and key generation system, matrix coupling device, matrix and key generation method, and program\" (US-10469257). https://patentable.app/patents/US-10469257","copyright_holder":"Nomic Interactive Technology LLC"},"links":{"html":"https://patentable.app/patents/US-10469257","json":"https://patentable.app/api/llm-context/US-10469257","site":"https://patentable.app","llms_txt":"https://patentable.app/llms.txt"},"generated_at":"2026-05-30T23:29:24.385Z"}