{"schema_version":"1.0","canonical_url":"https://patentable.app/patents/US-10511330","patent":{"patent_number":"US-10511330","title":"Decoding apparatus, decoding method and program","assignee":null,"inventors":[],"filing_date":"2016-05-11T00:00:00.000Z","publication_date":"2019-12-17T00:00:00.000Z","cpc_codes":["G06F","G11B"],"num_claims":8,"abstract":"To reduce the processing amount of a field multiplication. a denotes a k-th order vector whose elements are a0, . . . , ak−1 (a0, . . . , ak−1∈GF(xq)). A denotes an n-by-k matrix formed by vertically connecting a identity matrix and a Vandermonde matrix. b denotes an n-th order vector obtained by multiplying the vector a and the matrix A whose elements are b0, . . . , bn−1 (b0, . . . , bn−1∈GF(xq)). A vector conversion part 11 generates a ϕ-th order vector b′ using ϕ elements bp0, . . . , bpϕ−1 of the vector b. An inverse matrix generation part 12 generates a ϕ-by-ϕ inverse matrix A′−1. A plaintext computation part 13 computes elements ae0, . . . , aeϕ−1 of the vector a by multiplying the vector b′ and the inverse matrix A′−1."},"analysis":{"summary":null,"layman_explanation":null,"technical_analysis":null,"business_analysis":null,"faqs":null,"topics":[],"tech_cluster":null},"seo":{"title":"Decoding apparatus, decoding method and program","description":"To reduce the processing amount of a field multiplication. a denotes a k-th order vector whose elements are a0, . . . , ak−1 (a0, . . . , ak−1∈GF(xq)). A denotes an n-by-k matrix formed by vertically ","keywords":[]},"attribution":{"source":"Patentable","source_url":"https://patentable.app","canonical_url":"https://patentable.app/patents/US-10511330","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-10511330","citation_suggestion":"Patentable. \"Decoding apparatus, decoding method and program\" (US-10511330). https://patentable.app/patents/US-10511330","copyright_holder":"Nomic Interactive Technology LLC"},"links":{"html":"https://patentable.app/patents/US-10511330","json":"https://patentable.app/api/llm-context/US-10511330","site":"https://patentable.app","llms_txt":"https://patentable.app/llms.txt"},"generated_at":"2026-05-30T21:47:48.350Z"}