{"schema_version":"1.0","canonical_url":"https://patentable.app/patents/US-11251973","patent":{"patent_number":"US-11251973","title":"Efficient calculation of ED25519/448 signature verification in an encryption device","assignee":null,"inventors":[],"filing_date":"2019-06-10T00:00:00.000Z","publication_date":"2022-02-15T00:00:00.000Z","cpc_codes":["H04L","G06F","H04L"],"num_claims":20,"abstract":"A computer system module(s) substitutes a double scalar multiplication, used for signature verification in an encryption/decryption system, for two single scalar multiplications. The modules verify a group equation defined by [S]B=R+[k]A′ of the encryption/decryption system, where S is an integer characterized by the signature, K is an integer generated by a message being encrypted, B is a base point on the elliptic curve, R is a point on the elliptic curve and characterized by the signature, and A′ is a public key. The modules optionally rearrange the group equation to [S]B+[−k]A′=R, and convert it to [S]B+[n−k]A′=R, where n is the order of the base point. The modules determine a joint sparse form for the integers S and n−k and apply the Shamir's algorithm to the joint sparse form to verify the group equation."},"analysis":{"summary":null,"layman_explanation":null,"technical_analysis":null,"business_analysis":null,"faqs":null,"topics":[],"tech_cluster":null},"seo":{"title":"Efficient calculation of ED25519/448 signature verification in an encryption device","description":"A computer system module(s) substitutes a double scalar multiplication, used for signature verification in an encryption/decryption system, for two single scalar multiplications. The modules verify a ","keywords":[]},"attribution":{"source":"Patentable","source_url":"https://patentable.app","canonical_url":"https://patentable.app/patents/US-11251973","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-11251973","citation_suggestion":"Patentable. \"Efficient calculation of ED25519/448 signature verification in an encryption device\" (US-11251973). https://patentable.app/patents/US-11251973","copyright_holder":"Nomic Interactive Technology LLC"},"links":{"html":"https://patentable.app/patents/US-11251973","json":"https://patentable.app/api/llm-context/US-11251973","site":"https://patentable.app","llms_txt":"https://patentable.app/llms.txt"},"generated_at":"2026-05-31T00:18:26.817Z"}