{"id":"https://openalex.org/W4289655067","doi":"https://doi.org/10.1109/isit50566.2022.9834640","title":"Hybrid Multiplicative Non-perfect Secret Sharing","display_name":"Hybrid Multiplicative Non-perfect Secret Sharing","publication_year":2022,"publication_date":"2022-06-26","ids":{"openalex":"https://openalex.org/W4289655067","doi":"https://doi.org/10.1109/isit50566.2022.9834640"},"language":"en","primary_location":{"id":"doi:10.1109/isit50566.2022.9834640","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit50566.2022.9834640","pdf_url":null,"source":{"id":"https://openalex.org/S4363604560","display_name":"2022 IEEE International Symposium on Information Theory (ISIT)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101987564","display_name":"Maki Yoshida","orcid":"https://orcid.org/0000-0002-1267-0058"},"institutions":[{"id":"https://openalex.org/I90023481","display_name":"National Institute of Information and Communications Technology","ror":"https://ror.org/016bgq349","country_code":"JP","type":"facility","lineage":["https://openalex.org/I90023481"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Maki Yoshida","raw_affiliation_strings":["National Institute of Information and Communications Technology,Cybersecurity Research Institute,Tokyo,Japan","Cybersecurity Research Institute, National Institute of Information and Communications Technology, Tokyo, Japan"],"affiliations":[{"raw_affiliation_string":"National Institute of Information and Communications Technology,Cybersecurity Research Institute,Tokyo,Japan","institution_ids":["https://openalex.org/I90023481"]},{"raw_affiliation_string":"Cybersecurity Research Institute, National Institute of Information and Communications Technology, Tokyo, Japan","institution_ids":["https://openalex.org/I90023481"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5101987564"],"corresponding_institution_ids":["https://openalex.org/I90023481"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.06752531,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"649","last_page":"653"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data Security","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data Security","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.995199978351593,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9925000071525574,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/secret-sharing","display_name":"Secret sharing","score":0.8797688484191895},{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.6910398006439209},{"id":"https://openalex.org/keywords/homomorphic-secret-sharing","display_name":"Homomorphic secret sharing","score":0.651541531085968},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.6199052929878235},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5594567060470581},{"id":"https://openalex.org/keywords/secure-multi-party-computation","display_name":"Secure multi-party computation","score":0.5515543818473816},{"id":"https://openalex.org/keywords/access-structure","display_name":"Access structure","score":0.5132874846458435},{"id":"https://openalex.org/keywords/adversary","display_name":"Adversary","score":0.501453161239624},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.4797012507915497},{"id":"https://openalex.org/keywords/verifiable-secret-sharing","display_name":"Verifiable secret sharing","score":0.47769027948379517},{"id":"https://openalex.org/keywords/shamirs-secret-sharing","display_name":"Shamir's Secret Sharing","score":0.4747098982334137},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4392760992050171},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41978755593299866},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3675852417945862},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35238391160964966},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.3017690181732178},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.2708938717842102},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.16423609852790833}],"concepts":[{"id":"https://openalex.org/C3087436","wikidata":"https://www.wikidata.org/wiki/Q1386603","display_name":"Secret sharing","level":3,"score":0.8797688484191895},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.6910398006439209},{"id":"https://openalex.org/C132161212","wikidata":"https://www.wikidata.org/wiki/Q5891458","display_name":"Homomorphic secret sharing","level":4,"score":0.651541531085968},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.6199052929878235},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5594567060470581},{"id":"https://openalex.org/C18396474","wikidata":"https://www.wikidata.org/wiki/Q2465888","display_name":"Secure multi-party computation","level":3,"score":0.5515543818473816},{"id":"https://openalex.org/C2778950925","wikidata":"https://www.wikidata.org/wiki/Q4672474","display_name":"Access structure","level":4,"score":0.5132874846458435},{"id":"https://openalex.org/C41065033","wikidata":"https://www.wikidata.org/wiki/Q2825412","display_name":"Adversary","level":2,"score":0.501453161239624},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.4797012507915497},{"id":"https://openalex.org/C85847156","wikidata":"https://www.wikidata.org/wiki/Q59015987","display_name":"Verifiable secret sharing","level":3,"score":0.47769027948379517},{"id":"https://openalex.org/C131755552","wikidata":"https://www.wikidata.org/wiki/Q935125","display_name":"Shamir's Secret Sharing","level":5,"score":0.4747098982334137},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4392760992050171},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41978755593299866},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3675852417945862},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35238391160964966},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.3017690181732178},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.2708938717842102},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.16423609852790833},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit50566.2022.9834640","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit50566.2022.9834640","pdf_url":null,"source":{"id":"https://openalex.org/S4363604560","display_name":"2022 IEEE International Symposium on Information Theory (ISIT)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W44936433","https://openalex.org/W111864789","https://openalex.org/W1534695542","https://openalex.org/W1556155774","https://openalex.org/W1587274254","https://openalex.org/W1954882695","https://openalex.org/W1990304797","https://openalex.org/W1997859100","https://openalex.org/W2006453614","https://openalex.org/W2018736721","https://openalex.org/W2043307264","https://openalex.org/W2080911030","https://openalex.org/W2080975816","https://openalex.org/W2097167239","https://openalex.org/W2097407854","https://openalex.org/W2098487689","https://openalex.org/W2141420453","https://openalex.org/W2794870184","https://openalex.org/W2898897019","https://openalex.org/W2970097841","https://openalex.org/W2990399857","https://openalex.org/W3141585064","https://openalex.org/W3216582170","https://openalex.org/W6628614173","https://openalex.org/W6674590330"],"related_works":["https://openalex.org/W2006088653","https://openalex.org/W2032053269","https://openalex.org/W2768332800","https://openalex.org/W1552579947","https://openalex.org/W395932944","https://openalex.org/W1995566873","https://openalex.org/W4308243625","https://openalex.org/W2357392286","https://openalex.org/W2510428355","https://openalex.org/W38144971"],"abstract_inverted_index":{"A":[0],"secret":[1,80,95],"sharing":[2,28],"scheme":[3,11],"is":[4,81,102],"said":[5],"to":[6,15,67],"be":[7,55,68],"d-multiplicative":[8],"if":[9],"the":[10,13,30,35,74,78,86,94],"allows":[12],"players":[14],"multiply":[16],"shared":[17,44],"d":[18,40],"secrets":[19,41],"by":[20,45,83],"locally":[21],"converting":[22],"their":[23],"shares":[24],"into":[25],"an":[26],"additive":[27],"of":[29],"product.":[31],"This":[32],"paper":[33],"considers":[34],"most":[36],"general":[37],"setting":[38],"where":[39],"are":[42],"independently":[43],"different":[46],"adversary":[47],"structures":[48],"(hybrid)":[49],"and":[50,58,62],"a":[51,60],"partial":[52,91],"information":[53,92],"can":[54],"leaked":[56],"(non-perfect)":[57],"presents":[59],"necessary":[61],"sufficient":[63],"condition":[64],"for":[65,73],"d-multiplication":[66,101],"possible.":[69],"In":[70],"particular,":[71],"even":[72],"extreme":[75],"case":[76],"that":[77],"i-th":[79,87],"known":[82],"all":[84,97],"but":[85,98],"player":[88],"who":[89],"has":[90],"on":[93],"(e.g.,":[96],"one":[99],"bit),":[100],"impossible.":[103]},"counts_by_year":[],"updated_date":"2026-03-25T13:04:00.132906","created_date":"2025-10-10T00:00:00"}
