{"schema_version":"1.0","canonical_url":"https://patentable.app/patents/US-9716584","patent":{"patent_number":"US-9716584","title":"Systems and methods for operating secure elliptic curve cryptosystems","assignee":null,"inventors":[],"filing_date":"2015-06-19T00:00:00.000Z","publication_date":"2017-07-25T00:00:00.000Z","cpc_codes":["H04L","G06F","G06F","G06F","G06F","H04L","H04L","H04L","G06F","G06F"],"num_claims":20,"abstract":"Various embodiments of the invention implement countermeasures designed to withstand attacks by potential intruders who seek partial or full retrieval of elliptic curve secrets by using known methods that exploit system vulnerabilities, including elliptic operation differentiation, dummy operation detection, lattice attacks, and first real operation detection. Various embodiments of the invention provide resistance against side-channel attacks, such as sample power analysis, caused by the detectability of scalar values from information leaked during regular operation flow that would otherwise compromise system security. In certain embodiments, system immunity is maintained by performing elliptic scalar operations that use secret-independent operation flow in a secure Elliptic Curve Cryptosystem."},"analysis":{"summary":null,"layman_explanation":null,"technical_analysis":null,"business_analysis":null,"faqs":null,"topics":[],"tech_cluster":null},"seo":{"title":"Systems and methods for operating secure elliptic curve cryptosystems","description":"Various embodiments of the invention implement countermeasures designed to withstand attacks by potential intruders who seek partial or full retrieval of elliptic curve secrets by using known methods ","keywords":[]},"attribution":{"source":"Patentable","source_url":"https://patentable.app","canonical_url":"https://patentable.app/patents/US-9716584","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-9716584","citation_suggestion":"Patentable. \"Systems and methods for operating secure elliptic curve cryptosystems\" (US-9716584). https://patentable.app/patents/US-9716584","copyright_holder":"Nomic Interactive Technology LLC"},"links":{"html":"https://patentable.app/patents/US-9716584","json":"https://patentable.app/api/llm-context/US-9716584","site":"https://patentable.app","llms_txt":"https://patentable.app/llms.txt"},"generated_at":"2026-06-06T08:49:50.461Z"}