{"id":"https://openalex.org/W2028217078","doi":"https://doi.org/10.1137/080733802","title":"Decomposition Construction for Secret Sharing Schemes with Graph Access Structures in Polynomial Time","display_name":"Decomposition Construction for Secret Sharing Schemes with Graph Access Structures in Polynomial Time","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W2028217078","doi":"https://doi.org/10.1137/080733802","mag":"2028217078"},"language":"en","primary_location":{"id":"doi:10.1137/080733802","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080733802","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-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/A5076813053","display_name":"Hung\u2013Min Sun","orcid":"https://orcid.org/0000-0003-0870-9973"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hung-Min Sun","raw_affiliation_strings":["hmsun@cs.nthu.edu.tw and alley@is.cs.nthu.edu.tw#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"hmsun@cs.nthu.edu.tw and alley@is.cs.nthu.edu.tw#TAB#","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090841998","display_name":"Huaxiong Wang","orcid":"https://orcid.org/0000-0002-7669-8922"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Huaxiong Wang","raw_affiliation_strings":["hxwang@ntu.edu.sg#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"hxwang@ntu.edu.sg#TAB#","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047743270","display_name":"Bying-He Ku","orcid":null},"institutions":[{"id":"https://openalex.org/I25846049","display_name":"National Tsing Hua University","ror":"https://ror.org/00zdnkx70","country_code":"TW","type":"education","lineage":["https://openalex.org/I25846049"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Bying-He Ku","raw_affiliation_strings":["National Tsing Hua University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Tsing Hua University","institution_ids":["https://openalex.org/I25846049"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045977578","display_name":"Josef Pieprzyk","orcid":"https://orcid.org/0000-0002-1917-6466"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Josef Pieprzyk","raw_affiliation_strings":["josef@ics.mq.edu.au#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"josef@ics.mq.edu.au#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4592,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.72855269,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"24","issue":"2","first_page":"617","last_page":"638"},"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":0.9998999834060669,"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/T11130","display_name":"Coding theory and cryptography","score":0.9972000122070312,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/secret-sharing","display_name":"Secret sharing","score":0.598037838935852},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5610764622688293},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.5528964400291443},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5385196805000305},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.5102415084838867},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4589676856994629},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.44076472520828247},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.4115203022956848},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3678041100502014},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32653775811195374},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3123821020126343},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.18431299924850464}],"concepts":[{"id":"https://openalex.org/C3087436","wikidata":"https://www.wikidata.org/wiki/Q1386603","display_name":"Secret sharing","level":3,"score":0.598037838935852},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5610764622688293},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.5528964400291443},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5385196805000305},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.5102415084838867},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4589676856994629},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.44076472520828247},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.4115203022956848},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3678041100502014},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32653775811195374},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3123821020126343},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.18431299924850464},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/080733802","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080733802","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.6399999856948853}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1573023120","https://openalex.org/W1968383667","https://openalex.org/W1979040220","https://openalex.org/W1984242286","https://openalex.org/W1990304797","https://openalex.org/W1995726850","https://openalex.org/W1995732515","https://openalex.org/W2014472217","https://openalex.org/W2017964091","https://openalex.org/W2019987083","https://openalex.org/W2031906711","https://openalex.org/W2033040247","https://openalex.org/W2037062222","https://openalex.org/W2046134219","https://openalex.org/W2047488429","https://openalex.org/W2088023978","https://openalex.org/W2093673286","https://openalex.org/W2097167239","https://openalex.org/W2097407854","https://openalex.org/W2099000090","https://openalex.org/W2101330985","https://openalex.org/W2120756519","https://openalex.org/W2131278486","https://openalex.org/W2141420453","https://openalex.org/W2146829321","https://openalex.org/W2148623656","https://openalex.org/W2150962607","https://openalex.org/W2156218425","https://openalex.org/W2160940849","https://openalex.org/W2611147814","https://openalex.org/W2792527638","https://openalex.org/W2970097841"],"related_works":["https://openalex.org/W2006088653","https://openalex.org/W1574442789","https://openalex.org/W2223862429","https://openalex.org/W4255148435","https://openalex.org/W3191196563","https://openalex.org/W3125135494","https://openalex.org/W2907567283","https://openalex.org/W2009922770","https://openalex.org/W3129185507","https://openalex.org/W2951108567"],"abstract_inverted_index":{"The":[0,21],"purpose":[1],"of":[2,44,60,70,107,115],"this":[3],"paper":[4],"is":[5,28,51,64,98,110],"to":[6,53,123,138],"describe":[7],"a":[8,29,102,124],"new":[9,145],"decomposition":[10,23,87],"construction":[11,24,43,97,137],"for":[12],"perfect":[13],"secret":[14,35],"sharing":[15,36],"schemes":[16,37,63,109,141],"with":[17],"graph":[18,55],"access":[19,56],"structures.":[20],"previous":[22],"proposed":[25],"by":[26],"Stinson":[27,49,86,136],"recursive":[30],"method":[31,50,79],"that":[32,104,131],"uses":[33],"small":[34],"as":[38,84],"building":[39],"blocks":[40],"in":[41,67,74,95,100,112,119],"the":[42,48,54,58,68,71,81,85,90,96,105,113,116,135,139,149],"larger":[45],"schemes.":[46],"When":[47],"applied":[52],"structures,":[57],"number":[59,69,106],"such":[61,101],"\u201csmall\u201d":[62,108,140],"typically":[65],"exponential":[66,76],"participants,":[72,117],"resulting":[73],"an":[75],"algorithm.":[77],"Our":[78],"has":[80],"same":[82,150],"flavor":[83],"construction;":[88],"however,":[89],"linear":[91],"programming":[92],"problem":[93],"involved":[94],"formulated":[99],"way":[103],"polynomial":[111,125],"size":[114],"which":[118],"turn":[120],"gives":[121],"rise":[122],"time":[126],"construction.":[127],"We":[128],"also":[129],"show":[130],"if":[132],"we":[133],"apply":[134],"arising":[142],"from":[143],"our":[144],"construction,":[146],"both":[147],"have":[148],"information":[151],"rate.":[152]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
