{"id":"https://openalex.org/W2092107314","doi":"https://doi.org/10.1109/isit.2007.4557361","title":"Secure Construction for Nonlinear Function Threshold Ramp Secret Sharing","display_name":"Secure Construction for Nonlinear Function Threshold Ramp Secret Sharing","publication_year":2007,"publication_date":"2007-06-01","ids":{"openalex":"https://openalex.org/W2092107314","doi":"https://doi.org/10.1109/isit.2007.4557361","mag":"2092107314"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2007.4557361","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2007.4557361","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE International Symposium on Information Theory","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/I98285908","display_name":"The University of Osaka","ror":"https://ror.org/035t8zc32","country_code":"JP","type":"education","lineage":["https://openalex.org/I98285908"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Maki Yoshida","raw_affiliation_strings":["Graduate School of Information Science and Technology, Osaka University, Suita, Osaka, Japan","Grad. Sch. of Inf. Sci. & Technol., Osaka Univ., Suita#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate School of Information Science and Technology, Osaka University, Suita, Osaka, Japan","institution_ids":["https://openalex.org/I98285908"]},{"raw_affiliation_string":"Grad. Sch. of Inf. Sci. & Technol., Osaka Univ., Suita#TAB#","institution_ids":["https://openalex.org/I98285908"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101451047","display_name":"Toru Fujiwara","orcid":"https://orcid.org/0000-0002-3371-5745"},"institutions":[{"id":"https://openalex.org/I98285908","display_name":"The University of Osaka","ror":"https://ror.org/035t8zc32","country_code":"JP","type":"education","lineage":["https://openalex.org/I98285908"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Toru Fujiwara","raw_affiliation_strings":["Graduate School of Information Science and Technology, Osaka University, Suita, Osaka, Japan","Grad. Sch. of Inf. Sci. & Technol., Osaka Univ., Suita#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate School of Information Science and Technology, Osaka University, Suita, Osaka, Japan","institution_ids":["https://openalex.org/I98285908"]},{"raw_affiliation_string":"Grad. Sch. of Inf. Sci. & Technol., Osaka Univ., Suita#TAB#","institution_ids":["https://openalex.org/I98285908"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.10528948,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"1041","last_page":"1045"},"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/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9987999796867371,"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/function","display_name":"Function (biology)","score":0.7151868343353271},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.700211763381958},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.525954008102417},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.5077289342880249},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4831642508506775},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4476795792579651},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.41216203570365906},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35970959067344666},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3427949547767639},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2550487518310547},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13024801015853882},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10911229252815247}],"concepts":[{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.7151868343353271},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.700211763381958},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.525954008102417},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.5077289342880249},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4831642508506775},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4476795792579651},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.41216203570365906},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35970959067344666},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3427949547767639},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2550487518310547},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13024801015853882},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10911229252815247},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit.2007.4557361","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2007.4557361","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.699999988079071,"id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1511202603","https://openalex.org/W1534695542","https://openalex.org/W1563852347","https://openalex.org/W1596850266","https://openalex.org/W1872301466","https://openalex.org/W2025498149","https://openalex.org/W2141420453","https://openalex.org/W2401293175","https://openalex.org/W2970097841","https://openalex.org/W6639291822","https://openalex.org/W6698135423"],"related_works":["https://openalex.org/W1975289146","https://openalex.org/W2105887828","https://openalex.org/W2087240539","https://openalex.org/W4236520801","https://openalex.org/W2122599759","https://openalex.org/W1537234410","https://openalex.org/W1995022398","https://openalex.org/W2114205111","https://openalex.org/W2154204858","https://openalex.org/W115923022"],"abstract_inverted_index":{"There":[0,33],"are":[1,34,124],"two":[2],"types":[3],"of":[4,27,54,77,127],"threshold":[5],"ramp":[6,13],"secret":[7,29],"sharing":[8],"(TRSS)":[9],"schemes:":[10],"Linear":[11],"function":[12,16,22,57],"and":[14,41,44,62,82,88,122,130],"nonlinear":[15,56],"ramp.":[17],"A":[18],"linear":[19,39],"(resp.":[20,31],"nonlinear)":[21],"TRSS":[23],"scheme":[24,58],"reveals":[25],"information":[26],"the":[28,38,52,55,78,85,105,125,131],"linearly":[30],"nonlinearly).":[32],"many":[35],"studies":[36],"on":[37],"ones":[40],"various":[42],"secure":[43,87,107],"efficient":[45,89],"constructions":[46],"have":[47],"been":[48],"proposed.":[49],"In":[50],"contrast,":[51],"notion":[53],"was":[59],"recently":[60],"introduced,":[61],"any":[63],"previous":[64,79,106],"construction":[65,93,108],"is":[66],"either":[67],"insecure":[68,80],"or":[69],"inefficient.":[70],"This":[71],"paper":[72],"first":[73,86],"points":[74],"out":[75],"defects":[76],"construction,":[81],"then":[83],"presents":[84],"construction.":[90],"The":[91],"proposed":[92],"can":[94],"achieves":[95],"H(V":[96,109,117],"<inf":[97,110,118],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[98,111,119],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">i</inf>":[99,112,120],")":[100,113,121],"\u226a":[101],"H(S)":[102,115,123],"while":[103],"in":[104],"=":[114],"where":[116],"entropies":[126],"each":[128],"share":[129],"secret,":[132],"respectively.":[133]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
