{"id":"https://openalex.org/W2057324245","doi":"https://doi.org/10.1007/s11424-013-2131-4","title":"The optimal linear secret sharing scheme for any given access structure","display_name":"The optimal linear secret sharing scheme for any given access structure","publication_year":2013,"publication_date":"2013-08-01","ids":{"openalex":"https://openalex.org/W2057324245","doi":"https://doi.org/10.1007/s11424-013-2131-4","mag":"2057324245"},"language":"en","primary_location":{"id":"doi:10.1007/s11424-013-2131-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11424-013-2131-4","pdf_url":null,"source":{"id":"https://openalex.org/S45848134","display_name":"Journal of Systems Science and Complexity","issn_l":"1009-6124","issn":["1009-6124","1559-7067"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Systems Science and Complexity","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/A5101773404","display_name":"Chunming Tang","orcid":"https://orcid.org/0000-0001-8949-4323"},"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":"Chunming Tang","raw_affiliation_strings":["Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong Higher Education Institutes, Guangzhou University, Guangzhou, 510006, China","School of Mathematics and Information Science, Guangzhou University, Guangzhou, 510006, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong Higher Education Institutes, Guangzhou University, Guangzhou, 510006, China","institution_ids":["https://openalex.org/I37987034"]},{"raw_affiliation_string":"School of Mathematics and Information Science, Guangzhou University, Guangzhou, 510006, China","institution_ids":["https://openalex.org/I37987034"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008978009","display_name":"Shuhong Gao","orcid":"https://orcid.org/0000-0002-0937-1727"},"institutions":[{"id":"https://openalex.org/I8078737","display_name":"Clemson University","ror":"https://ror.org/037s24f05","country_code":"US","type":"education","lineage":["https://openalex.org/I8078737"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shuhong Gao","raw_affiliation_strings":["Department of Mathematical Sciences, Clemson University, Clemson, 29634, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Clemson University, Clemson, 29634, USA","institution_ids":["https://openalex.org/I8078737"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101974514","display_name":"Chengli Zhang","orcid":"https://orcid.org/0000-0002-5290-9094"},"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":"Chengli Zhang","raw_affiliation_strings":["School of Mathematics and Information Science, Guangzhou University, Guangzhou, 510006, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Information Science, Guangzhou University, Guangzhou, 510006, China","institution_ids":["https://openalex.org/I37987034"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101773404"],"corresponding_institution_ids":["https://openalex.org/I37987034"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.9767,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.8858784,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"26","issue":"4","first_page":"634","last_page":"649"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data Security","score":0.9998999834060669,"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":0.9998999834060669,"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/T11130","display_name":"Coding theory and cryptography","score":0.9979000091552734,"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":0.9961000084877014,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/access-structure","display_name":"Access structure","score":0.7196757793426514},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.6035350561141968},{"id":"https://openalex.org/keywords/secret-sharing","display_name":"Secret sharing","score":0.5819438099861145},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5795928239822388},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.5383539795875549},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5223634839057922},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.4806489050388336},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.4742295444011688},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.46409645676612854},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4633939862251282},{"id":"https://openalex.org/keywords/system-of-linear-equations","display_name":"System of linear equations","score":0.4344608187675476},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.419760137796402},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35178348422050476},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.2255781888961792},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.0681387186050415}],"concepts":[{"id":"https://openalex.org/C2778950925","wikidata":"https://www.wikidata.org/wiki/Q4672474","display_name":"Access structure","level":4,"score":0.7196757793426514},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.6035350561141968},{"id":"https://openalex.org/C3087436","wikidata":"https://www.wikidata.org/wiki/Q1386603","display_name":"Secret sharing","level":3,"score":0.5819438099861145},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5795928239822388},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.5383539795875549},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5223634839057922},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.4806489050388336},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.4742295444011688},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.46409645676612854},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4633939862251282},{"id":"https://openalex.org/C94523830","wikidata":"https://www.wikidata.org/wiki/Q11203","display_name":"System of linear equations","level":2,"score":0.4344608187675476},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.419760137796402},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35178348422050476},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.2255781888961792},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0681387186050415},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","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:10.1007/s11424-013-2131-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11424-013-2131-4","pdf_url":null,"source":{"id":"https://openalex.org/S45848134","display_name":"Journal of Systems Science and Complexity","issn_l":"1009-6124","issn":["1009-6124","1559-7067"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Systems Science and Complexity","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W30066908","https://openalex.org/W57175791","https://openalex.org/W1533708960","https://openalex.org/W1550528471","https://openalex.org/W1556155774","https://openalex.org/W1572243505","https://openalex.org/W1574535057","https://openalex.org/W1578199253","https://openalex.org/W1581614720","https://openalex.org/W1597601442","https://openalex.org/W1857011033","https://openalex.org/W1986896467","https://openalex.org/W1990304797","https://openalex.org/W2097407854","https://openalex.org/W2116509046","https://openalex.org/W2120551550","https://openalex.org/W2133473027","https://openalex.org/W2134149606","https://openalex.org/W2136563111","https://openalex.org/W2141420453","https://openalex.org/W2148904833","https://openalex.org/W2163834165","https://openalex.org/W2255912369","https://openalex.org/W2357087730","https://openalex.org/W2595102206","https://openalex.org/W2905120749","https://openalex.org/W2911257671","https://openalex.org/W2913699063","https://openalex.org/W2970097841","https://openalex.org/W4238806542"],"related_works":["https://openalex.org/W1520180051","https://openalex.org/W1426154471","https://openalex.org/W2442468934","https://openalex.org/W2147096936","https://openalex.org/W1989428224","https://openalex.org/W1574922502","https://openalex.org/W2366423588","https://openalex.org/W2102302508","https://openalex.org/W2097407854","https://openalex.org/W1538704016"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2026-06-19T17:40:00.097472","created_date":"2025-10-10T00:00:00"}
