{"schema_version":"1.0","canonical_url":"https://patentable.app/patents/US-8477934","patent":{"patent_number":"US-8477934","title":"Pairing computation device, pairing computation method and recording medium storing pairing computation program","assignee":null,"inventors":[],"filing_date":"2010-04-21T00:00:00.000Z","publication_date":"2013-07-02T00:00:00.000Z","cpc_codes":["H04L","G06F","H04L"],"num_claims":24,"abstract":"There is provided a pairing computation device provided with a CPU which computes pairing e(S,Q) with SεG1, QεG2, χ being a given integer variable, and F being a rational function calculated using Miller's algorithm with respect to multi-pairing (MMA). An order r, a trace t of the Frobenius endomorphism φp are specified preliminarily using the integer variable χ according to an embedding degree k. The CPU performs pairing computation by means of: an input unit which inputs the integer variable χ, the rational point S, and the rational point Q into respective predetermined registers; a computation unit which computes F; a computation unit which computes a value at a rational point Q(xQ, yQ) of a straight line passing through given rational points; a computation unit which computes f′ χ,S(Q) using the aforementioned F and the value; and a computation unit which computes the pairing e(S,Q) using aforementioned f′ χ,S(Q) as [F83].[F83]e(S,Q)=f′χ,S(Q)(p−1)/r."},"analysis":{"summary":null,"layman_explanation":null,"technical_analysis":null,"business_analysis":null,"faqs":null,"topics":[],"tech_cluster":null},"seo":{"title":"Pairing computation device, pairing computation method and recording medium storing pairing computation program","description":"There is provided a pairing computation device provided with a CPU which computes pairing e(S,Q) with SεG1, QεG2, χ being a given integer variable, and F being a rational function calculated using Mil","keywords":[]},"attribution":{"source":"Patentable","source_url":"https://patentable.app","canonical_url":"https://patentable.app/patents/US-8477934","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-8477934","citation_suggestion":"Patentable. \"Pairing computation device, pairing computation method and recording medium storing pairing computation program\" (US-8477934). https://patentable.app/patents/US-8477934","copyright_holder":"Nomic Interactive Technology LLC"},"links":{"html":"https://patentable.app/patents/US-8477934","json":"https://patentable.app/api/llm-context/US-8477934","site":"https://patentable.app","llms_txt":"https://patentable.app/llms.txt"},"generated_at":"2026-05-30T19:50:18.361Z"}