{"schema_version":"1.0","canonical_url":"https://patentable.app/patents/US-8520854","patent":{"patent_number":"US-8520854","title":"Sharing a secret using polynomials over polynomials","assignee":null,"inventors":[],"filing_date":"2008-08-28T00:00:00.000Z","publication_date":"2013-08-27T00:00:00.000Z","cpc_codes":["H04L"],"num_claims":16,"abstract":"A method and system distributes N shares of a secret among cooperating entities by representing the secret as a secret polynomial, and forming a splitting polynomial with the secret polynomial as one or more of the coefficients. In one embodiment, the method represents the secret as a secret polynomial over GF(q), where q is a prime number or a power of a prime number. A splitting polynomial of degree (K−1) over GF(qm) is constructed, where K is the number of shares to reconstruct the secret and m is a positive integer. The coefficients of the splitting polynomial are formed with the secret polynomial and random information. The method further evaluates the splitting polynomial at N points with arithmetic defined on GF(qm) to generate the N shares of the secret."},"analysis":{"summary":null,"layman_explanation":null,"technical_analysis":null,"business_analysis":null,"faqs":null,"topics":[],"tech_cluster":null},"seo":{"title":"Sharing a secret using polynomials over polynomials","description":"A method and system distributes N shares of a secret among cooperating entities by representing the secret as a secret polynomial, and forming a splitting polynomial with the secret polynomial as one ","keywords":[]},"attribution":{"source":"Patentable","source_url":"https://patentable.app","canonical_url":"https://patentable.app/patents/US-8520854","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-8520854","citation_suggestion":"Patentable. \"Sharing a secret using polynomials over polynomials\" (US-8520854). https://patentable.app/patents/US-8520854","copyright_holder":"Nomic Interactive Technology LLC"},"links":{"html":"https://patentable.app/patents/US-8520854","json":"https://patentable.app/api/llm-context/US-8520854","site":"https://patentable.app","llms_txt":"https://patentable.app/llms.txt"},"generated_at":"2026-05-31T04:46:46.277Z"}