{"id":"https://openalex.org/W2315463137","doi":"https://doi.org/10.1145/2897795.2897810","title":"Efficient Algorithm to Construct Perfect Secret Sharing Scheme for a Given Access Structure","display_name":"Efficient Algorithm to Construct Perfect Secret Sharing Scheme for a Given Access Structure","publication_year":2016,"publication_date":"2016-04-05","ids":{"openalex":"https://openalex.org/W2315463137","doi":"https://doi.org/10.1145/2897795.2897810","mag":"2315463137"},"language":"en","primary_location":{"id":"doi:10.1145/2897795.2897810","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2897795.2897810","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 11th Annual Cyber and Information Security Research Conference","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/A5030446247","display_name":"Mustafa At\u0131c\u0131","orcid":null},"institutions":[{"id":"https://openalex.org/I94339441","display_name":"Western Kentucky University","ror":"https://ror.org/0446vnd56","country_code":"US","type":"education","lineage":["https://openalex.org/I94339441"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Mustafa Atici","raw_affiliation_strings":["Computer Science Department, Western Kentucky University, Bowling Green, KY 42101 USA"],"affiliations":[{"raw_affiliation_string":"Computer Science Department, Western Kentucky University, Bowling Green, KY 42101 USA","institution_ids":["https://openalex.org/I94339441"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5030446247"],"corresponding_institution_ids":["https://openalex.org/I94339441"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01090992,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"403","issue":null,"first_page":"1","last_page":"7"},"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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.996999979019165,"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"}},{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.992900013923645,"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/construct","display_name":"Construct (python library)","score":0.8140847086906433},{"id":"https://openalex.org/keywords/access-structure","display_name":"Access structure","score":0.7752658724784851},{"id":"https://openalex.org/keywords/secret-sharing","display_name":"Secret sharing","score":0.7058560848236084},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6020337343215942},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.6007111668586731},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.5541332960128784},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5261102318763733},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5216091871261597},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.5104638338088989},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.5018720626831055},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.4699561595916748},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.43591442704200745},{"id":"https://openalex.org/keywords/homomorphic-secret-sharing","display_name":"Homomorphic secret sharing","score":0.4353001117706299},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.42604291439056396},{"id":"https://openalex.org/keywords/shamirs-secret-sharing","display_name":"Shamir's Secret Sharing","score":0.4102049767971039},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3704487085342407},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.1030200719833374},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.09972217679023743}],"concepts":[{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.8140847086906433},{"id":"https://openalex.org/C2778950925","wikidata":"https://www.wikidata.org/wiki/Q4672474","display_name":"Access structure","level":4,"score":0.7752658724784851},{"id":"https://openalex.org/C3087436","wikidata":"https://www.wikidata.org/wiki/Q1386603","display_name":"Secret sharing","level":3,"score":0.7058560848236084},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6020337343215942},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.6007111668586731},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.5541332960128784},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5261102318763733},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5216091871261597},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.5104638338088989},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.5018720626831055},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.4699561595916748},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.43591442704200745},{"id":"https://openalex.org/C132161212","wikidata":"https://www.wikidata.org/wiki/Q5891458","display_name":"Homomorphic secret sharing","level":4,"score":0.4353001117706299},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.42604291439056396},{"id":"https://openalex.org/C131755552","wikidata":"https://www.wikidata.org/wiki/Q935125","display_name":"Shamir's Secret Sharing","level":5,"score":0.4102049767971039},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3704487085342407},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.1030200719833374},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.09972217679023743},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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:10.1145/2897795.2897810","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2897795.2897810","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 11th Annual Cyber and Information Security Research Conference","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6000000238418579,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W44291118","https://openalex.org/W1976496813","https://openalex.org/W2057091296","https://openalex.org/W2097407854","https://openalex.org/W2099000090","https://openalex.org/W2141420453","https://openalex.org/W2603253565","https://openalex.org/W2970097841"],"related_works":["https://openalex.org/W2110815651","https://openalex.org/W2006088653","https://openalex.org/W395932944","https://openalex.org/W2032053269","https://openalex.org/W2510428355","https://openalex.org/W2076488083","https://openalex.org/W1552579947","https://openalex.org/W2357392286","https://openalex.org/W2097407854","https://openalex.org/W2768332800"],"abstract_inverted_index":{"The":[0,22,41],"threshold":[1,23],"scheme,":[2],"the":[3,8,15,59,91,132,146],"monotone":[4,25],"circuit":[5,26],"construction,":[6],"and":[7,24,113],"vector":[9,72],"space":[10],"construction":[11,42],"are":[12,30,108],"some":[13],"of":[14,43,61,68],"well-known":[16],"secret":[17,27,45,92,142],"sharing":[18,28,46,143],"schemes":[19,29],"in":[20,87,105],"cryptography.":[21],"fairly":[31],"easy":[32],"to":[33,89,99,122,140],"construct":[34,100,123,141],"for":[35,127,145],"any":[36],"given":[37,50,128],"access":[38,51,129,147],"structure":[39,52],"\u0393.":[40],"a":[44,49,62,66,71,102],"scheme":[47,144],"realizing":[48],"\u0393":[53],"with":[54],"Vector":[55],"Space":[56],"Construction":[57],"requires":[58],"existence":[60],"function":[63,81,103],"\u03c6":[64,82,104,125,133],"from":[65],"set":[67],"participants":[69],"into":[70],"space,":[73],"that":[74],"is,":[75],"\u03c6:":[76],"P":[77],"\u2192":[78],"(Zp)d.":[79],"This":[80],"must":[83],"satisfy":[84],"certain":[85],"conditions":[86],"order":[88],"recover":[90],"key.":[93],"There":[94],"is":[95],"no":[96],"known":[97],"algorithm":[98,121,139],"such":[101,124],"general.":[106],"Constructions":[107],"mainly":[109],"done":[110],"by":[111],"trial":[112],"error.":[114],"In":[115],"this":[116],"paper,":[117],"we":[118,135],"develop":[119],"polynomial":[120],"function(s)":[126],"structures.":[130,148],"Using":[131],"function,":[134],"also":[136],"give":[137],"an":[138]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}