{"schema_version":"1.0","canonical_url":"https://patentable.app/patents/US-9811318","patent":{"patent_number":"US-9811318","title":"Montgomery multiplication method for performing final modular reduction without comparison operation and montgomery multiplier","assignee":null,"inventors":[],"filing_date":"2015-03-30T00:00:00.000Z","publication_date":"2017-11-07T00:00:00.000Z","cpc_codes":["G06F","G06F"],"num_claims":17,"abstract":"A Montgomery multiplier includes a partial product computing unit for multiplying a multiplicand and a multiplier; a modulus reduction computing unit for performing a multiplication of a modulus and a quotient that reflects a quotient sign; an accumulation unit for accumulating in a intermediate value an output value of the partial product computing unit and an output value of the modulus reduction computing unit from a previous cycle; a quotient computing unit for receiving an accumulation value of the accumulation unit during a current cycle and calculating a quotient sign to be used during a next cycle; and a quotient sign determination unit for determining a quotient sign to be used during a next cycle from the multiplicand, the multiplier and the quotient."},"analysis":{"summary":null,"layman_explanation":null,"technical_analysis":null,"business_analysis":null,"faqs":null,"topics":[],"tech_cluster":null},"seo":{"title":"Montgomery multiplication method for performing final modular reduction without comparison operation and montgomery multiplier","description":"A Montgomery multiplier includes a partial product computing unit for multiplying a multiplicand and a multiplier; a modulus reduction computing unit for performing a multiplication of a modulus and a","keywords":[]},"attribution":{"source":"Patentable","source_url":"https://patentable.app","canonical_url":"https://patentable.app/patents/US-9811318","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-9811318","citation_suggestion":"Patentable. \"Montgomery multiplication method for performing final modular reduction without comparison operation and montgomery multiplier\" (US-9811318). https://patentable.app/patents/US-9811318","copyright_holder":"Nomic Interactive Technology LLC"},"links":{"html":"https://patentable.app/patents/US-9811318","json":"https://patentable.app/api/llm-context/US-9811318","site":"https://patentable.app","llms_txt":"https://patentable.app/llms.txt"},"generated_at":"2026-06-06T15:42:54.336Z"}