{"schema_version":"1.0","canonical_url":"https://patentable.app/patents/US-10484173","patent":{"patent_number":"US-10484173","title":"X-only generic mapping function for PACE protocol","assignee":null,"inventors":[],"filing_date":"2017-01-03T00:00:00.000Z","publication_date":"2019-11-19T00:00:00.000Z","cpc_codes":["H04L","G06F","H04L","H04L","H04L","H04L"],"num_claims":24,"abstract":"A method of calculating the x-coordinate(xM) of a point mapping in an elliptic curve Diffie-Hellman key exchange protocol (EC-DHKF), wherein the point mapping is defined as sG+H, where sG is a point (xS,yS) on an elliptic curve and H is a point (xH,yH) on the elliptic curve, including: computing V=yS2 based upon the elliptic curve and xS; computing W=yH2 based upon the elliptic curve and xH; computing U=sqrt(W·V)mod p, where p is a large prime number; choosing U′=U or U′=p−U such that U′ based upon a characteristic agreed upon by the parties to the EC-DHKF; computing xM based upon V, W, U′, xS, xH, and p."},"analysis":{"summary":null,"layman_explanation":null,"technical_analysis":null,"business_analysis":null,"faqs":null,"topics":[],"tech_cluster":null},"seo":{"title":"X-only generic mapping function for PACE protocol","description":"A method of calculating the x-coordinate(xM) of a point mapping in an elliptic curve Diffie-Hellman key exchange protocol (EC-DHKF), wherein the point mapping is defined as sG+H, where sG is a point (","keywords":[]},"attribution":{"source":"Patentable","source_url":"https://patentable.app","canonical_url":"https://patentable.app/patents/US-10484173","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-10484173","citation_suggestion":"Patentable. \"X-only generic mapping function for PACE protocol\" (US-10484173). https://patentable.app/patents/US-10484173","copyright_holder":"Nomic Interactive Technology LLC"},"links":{"html":"https://patentable.app/patents/US-10484173","json":"https://patentable.app/api/llm-context/US-10484173","site":"https://patentable.app","llms_txt":"https://patentable.app/llms.txt"},"generated_at":"2026-05-31T06:56:54.904Z"}