{"id":"https://openalex.org/W2982538666","doi":"https://doi.org/10.1007/978-3-030-34621-8_18","title":"Efficient Explicit Constructions of Multipartite Secret Sharing Schemes","display_name":"Efficient Explicit Constructions of Multipartite Secret Sharing Schemes","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2982538666","doi":"https://doi.org/10.1007/978-3-030-34621-8_18","mag":"2982538666"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-34621-8_18","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-34621-8_18","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"preprint","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/A5100340154","display_name":"Qi Chen","orcid":"https://orcid.org/0000-0002-1959-1854"},"institutions":[{"id":"https://openalex.org/I37987034","display_name":"Guangzhou University","ror":"https://ror.org/05ar8rn06","country_code":"CN","type":"education","lineage":["https://openalex.org/I37987034"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Qi Chen","raw_affiliation_strings":["Institute of Artificial Intelligence and Blockchain, Guangzhou University, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"Institute of Artificial Intelligence and Blockchain, Guangzhou University, Guangzhou, China","institution_ids":["https://openalex.org/I37987034"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101773403","display_name":"Chunming Tang","orcid":"https://orcid.org/0000-0001-7634-4705"},"institutions":[{"id":"https://openalex.org/I37987034","display_name":"Guangzhou University","ror":"https://ror.org/05ar8rn06","country_code":"CN","type":"education","lineage":["https://openalex.org/I37987034"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chunming Tang","raw_affiliation_strings":["School of Mathematics and Information Science, Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong Higher Education Institutes, Guangzhou University, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Information Science, Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong Higher Education Institutes, Guangzhou University, Guangzhou, China","institution_ids":["https://openalex.org/I37987034"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079430794","display_name":"Zhiqiang Lin","orcid":"https://orcid.org/0000-0001-8486-564X"},"institutions":[{"id":"https://openalex.org/I37987034","display_name":"Guangzhou University","ror":"https://ror.org/05ar8rn06","country_code":"CN","type":"education","lineage":["https://openalex.org/I37987034"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhiqiang Lin","raw_affiliation_strings":["School of Mathematics and Information Science, Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong Higher Education Institutes, Guangzhou University, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Information Science, Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong Higher Education Institutes, Guangzhou University, Guangzhou, China","institution_ids":["https://openalex.org/I37987034"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100340154"],"corresponding_institution_ids":["https://openalex.org/I37987034"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.1445,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.59486425,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"68","issue":"1","first_page":"505","last_page":"536"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data Security","score":0.9997000098228455,"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":0.9997000098228455,"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/T11504","display_name":"Advanced Authentication Protocols Security","score":0.9724000096321106,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10764","display_name":"Privacy-Preserving Technologies in Data","score":0.9490000009536743,"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/multipartite","display_name":"Multipartite","score":0.9384832978248596},{"id":"https://openalex.org/keywords/secret-sharing","display_name":"Secret sharing","score":0.8301465511322021},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.6626214385032654},{"id":"https://openalex.org/keywords/verifiable-secret-sharing","display_name":"Verifiable secret sharing","score":0.5843073129653931},{"id":"https://openalex.org/keywords/access-structure","display_name":"Access structure","score":0.5581329464912415},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5504966974258423},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4740031659603119},{"id":"https://openalex.org/keywords/homomorphic-secret-sharing","display_name":"Homomorphic secret sharing","score":0.44609031081199646},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3756304383277893},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3239191174507141},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.3090982437133789},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.1131448745727539},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.05470681190490723},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.04132735729217529},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.04070529341697693}],"concepts":[{"id":"https://openalex.org/C166733315","wikidata":"https://www.wikidata.org/wiki/Q6934831","display_name":"Multipartite","level":4,"score":0.9384832978248596},{"id":"https://openalex.org/C3087436","wikidata":"https://www.wikidata.org/wiki/Q1386603","display_name":"Secret sharing","level":3,"score":0.8301465511322021},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6626214385032654},{"id":"https://openalex.org/C85847156","wikidata":"https://www.wikidata.org/wiki/Q59015987","display_name":"Verifiable secret sharing","level":3,"score":0.5843073129653931},{"id":"https://openalex.org/C2778950925","wikidata":"https://www.wikidata.org/wiki/Q4672474","display_name":"Access structure","level":4,"score":0.5581329464912415},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5504966974258423},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4740031659603119},{"id":"https://openalex.org/C132161212","wikidata":"https://www.wikidata.org/wiki/Q5891458","display_name":"Homomorphic secret sharing","level":4,"score":0.44609031081199646},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3756304383277893},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3239191174507141},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.3090982437133789},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.1131448745727539},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.05470681190490723},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.04132735729217529},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.04070529341697693},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/978-3-030-34621-8_18","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-34621-8_18","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"doi:10.1109/tit.2021.3123102","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2021.3123102","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},{"id":"mag:2982538666","is_oa":false,"landing_page_url":"https://eprint.iacr.org/2019/1100.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S2764847869","display_name":"IACR Cryptology ePrint Archive","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":["https://openalex.org/P4322614454"],"host_organization_lineage_names":["Cryptology ePrint Archive"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IACR Cryptology ePrint Archive","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1372848358","display_name":null,"funder_award_id":"12171114","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1561187741","display_name":null,"funder_award_id":"2016KZDXM036","funder_id":"https://openalex.org/F4320326279","funder_display_name":"Department of Education of Guangdong Province"},{"id":"https://openalex.org/G2363139363","display_name":null,"funder_award_id":"61772147","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5894582779","display_name":null,"funder_award_id":"62132018","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8795516001","display_name":null,"funder_award_id":"2020YFA0712500","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320326279","display_name":"Department of Education of Guangdong Province","ror":null},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W51265332","https://openalex.org/W1507039798","https://openalex.org/W1556155774","https://openalex.org/W1572181357","https://openalex.org/W1590395676","https://openalex.org/W1978059234","https://openalex.org/W2006453614","https://openalex.org/W2008001880","https://openalex.org/W2012083420","https://openalex.org/W2015101688","https://openalex.org/W2015918720","https://openalex.org/W2031906711","https://openalex.org/W2046021070","https://openalex.org/W2047488429","https://openalex.org/W2080911030","https://openalex.org/W2082145193","https://openalex.org/W2083952939","https://openalex.org/W2090127958","https://openalex.org/W2094758646","https://openalex.org/W2099000090","https://openalex.org/W2101330985","https://openalex.org/W2120664327","https://openalex.org/W2121466947","https://openalex.org/W2137350638","https://openalex.org/W2141420453","https://openalex.org/W2143656893","https://openalex.org/W2223862429","https://openalex.org/W2911873325","https://openalex.org/W2912577494","https://openalex.org/W2950110275","https://openalex.org/W2970097841","https://openalex.org/W2990744444","https://openalex.org/W4231868828","https://openalex.org/W6601219745","https://openalex.org/W6631971421","https://openalex.org/W6778174840"],"related_works":["https://openalex.org/W3209734538","https://openalex.org/W137392596","https://openalex.org/W2370447432","https://openalex.org/W2058374596","https://openalex.org/W2801049900","https://openalex.org/W1857011033","https://openalex.org/W1979040220","https://openalex.org/W3080764612","https://openalex.org/W1989428224","https://openalex.org/W2294412958","https://openalex.org/W2795117343","https://openalex.org/W2373652136","https://openalex.org/W2462222983","https://openalex.org/W1707596161","https://openalex.org/W2584487798","https://openalex.org/W3046811230","https://openalex.org/W2802505144","https://openalex.org/W324663928","https://openalex.org/W2506733341","https://openalex.org/W3139476007"],"abstract_inverted_index":{"Multipartite":[0],"secret":[1,50,63,76,82,181],"sharing":[2,34,51,77,83,182],"schemes":[3,35,84,164],"are":[4,99],"those":[5],"having":[6],"a":[7,56,107,117],"multipartite":[8,37,49,75,81,180],"access":[9,38,105,114,126,133,142,151,167],"structure,":[10,134],"in":[11,25,85],"which":[12],"the":[13,26,46,86,100,122,129,135,145,174,177],"set":[14],"of":[15,61,73,140,176],"participants":[16,24],"is":[17],"divided":[18],"into":[19],"several":[20],"parts":[21],"and":[22,58,70,128,144,185],"all":[23],"same":[27],"part":[28],"play":[29],"an":[30,157],"equivalent":[31],"role.":[32],"Secret":[33],"for":[36,102,137,147],"structures":[39,152,168],"have":[40],"received":[41],"considerable":[42],"attention":[43],"due":[44],"to":[45,160],"fact":[47],"that":[48,109],"can":[52,88],"be":[53,89],"seen":[54],"as":[55,91,116,121],"natural":[57],"useful":[59],"generalization":[60],"threshold":[62,125,132],"sharing.":[64],"This":[65],"work":[66],"deals":[67],"with":[68,153],"efficient":[69,158],"explicit":[71],"constructions":[72,101,136,146],"ideal":[74,80,103,112,162],"schemes.":[78],"Most":[79],"literature":[87],"classified":[90],"either":[92],"hierarchical":[93,104,113,124,131],"or":[94],"compartmented.":[95],"The":[96],"main":[97],"results":[98],"structures,":[106,143],"family":[108],"contains":[110],"every":[111],"structure":[115,127],"particular":[118],"case":[119],"such":[120],"disjunctive":[123],"conjunctive":[130],"three":[138],"families":[139,149],"compartmented":[141,150],"two":[148],"compartments.":[154],"We":[155],"present":[156],"method":[159],"construct":[161],"linear":[163,170],"realizing":[165],"these":[166],"by":[169],"algebraic":[171],"techniques":[172],"on":[173],"basis":[175],"relationship":[178],"between":[179],"schemes,":[183],"polymatroids":[184],"matroids.":[186]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}