{"id":"https://openalex.org/W2125109840","doi":"https://doi.org/10.1109/isit.2009.5205941","title":"A coding theorem for cheating-detectable (2, 2)-threshold blockwise secret sharing schemes","display_name":"A coding theorem for cheating-detectable (2, 2)-threshold blockwise secret sharing schemes","publication_year":2009,"publication_date":"2009-06-01","ids":{"openalex":"https://openalex.org/W2125109840","doi":"https://doi.org/10.1109/isit.2009.5205941","mag":"2125109840"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2009.5205941","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2009.5205941","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"},"type":"conference-paper","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/A5033221559","display_name":"Mitsugu Iwamoto","orcid":"https://orcid.org/0000-0003-1092-8489"},"institutions":[{"id":"https://openalex.org/I20529979","display_name":"University of Electro-Communications","ror":"https://ror.org/02x73b849","country_code":"JP","type":"education","lineage":["https://openalex.org/I20529979"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Mitsugu Iwamoto","raw_affiliation_strings":["Graduate School of Information Systems, University of Electro-Communications, Chofu, Tokyo, Japan","Graduate School of Information Systems, University of Electro-Communications, 1-5-1, Chofu-gaoka, Chofu-shi, Tokyo 182-8585, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate School of Information Systems, University of Electro-Communications, Chofu, Tokyo, Japan","institution_ids":["https://openalex.org/I20529979"]},{"raw_affiliation_string":"Graduate School of Information Systems, University of Electro-Communications, 1-5-1, Chofu-gaoka, Chofu-shi, Tokyo 182-8585, Japan","institution_ids":["https://openalex.org/I20529979"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084723015","display_name":"H. Yamamoto","orcid":"https://orcid.org/0000-0001-6297-8838"},"institutions":[{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Hirosuke Yamamoto","raw_affiliation_strings":["Graduate School of Frontier Sciences, University of Tokyo, Kashiwa, Chiba, Japan","Graduate School of Frontier Sciences, University of Tokyo, 5-1-5 Kashiwanoha, Kashiwa-shi, Chiba 277-8561, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate School of Frontier Sciences, University of Tokyo, Kashiwa, Chiba, Japan","institution_ids":["https://openalex.org/I74801974"]},{"raw_affiliation_string":"Graduate School of Frontier Sciences, University of Tokyo, 5-1-5 Kashiwanoha, Kashiwa-shi, Chiba 277-8561, Japan","institution_ids":["https://openalex.org/I74801974"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5104355666","display_name":"Hiroki Koga","orcid":null},"institutions":[{"id":"https://openalex.org/I146399215","display_name":"University of Tsukuba","ror":"https://ror.org/02956yf07","country_code":"JP","type":"education","lineage":["https://openalex.org/I146399215"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Hiroki Koga","raw_affiliation_strings":["Graduate School of Systems and Information Engineering, University of Tsukuba, Tsukuba, Ibaraki, Japan","Graduate School of Systems and Information Engineering, University of Tsukuba, 1-1-1 Tennoudai, Tsukuba-shi, Ibaraki 305-8573, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate School of Systems and Information Engineering, University of Tsukuba, Tsukuba, Ibaraki, Japan","institution_ids":["https://openalex.org/I146399215"]},{"raw_affiliation_string":"Graduate School of Systems and Information Engineering, University of Tsukuba, 1-1-1 Tennoudai, Tsukuba-shi, Ibaraki 305-8573, Japan","institution_ids":["https://openalex.org/I146399215"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.7311,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.70139037,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"4284","issue":null,"first_page":"1308","last_page":"1312"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data Security","score":0.9994999766349792,"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":0.9994999766349792,"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/T10964","display_name":"Wireless Communication Security Techniques","score":0.9944999814033508,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9927999973297119,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.7426064014434814},{"id":"https://openalex.org/keywords/cheating","display_name":"Cheating","score":0.7015421986579895},{"id":"https://openalex.org/keywords/infimum-and-supremum","display_name":"Infimum and supremum","score":0.648544192314148},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5359272360801697},{"id":"https://openalex.org/keywords/sss*","display_name":"SSS*","score":0.5253120064735413},{"id":"https://openalex.org/keywords/impossibility","display_name":"Impossibility","score":0.5233092308044434},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.513869047164917},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.45511725544929504},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.43166935443878174},{"id":"https://openalex.org/keywords/secret-sharing","display_name":"Secret sharing","score":0.41576892137527466},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4125380218029022},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35548776388168335},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.2950642704963684},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.13687744736671448},{"id":"https://openalex.org/keywords/psychology","display_name":"Psychology","score":0.08445695042610168}],"concepts":[{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.7426064014434814},{"id":"https://openalex.org/C2778024590","wikidata":"https://www.wikidata.org/wiki/Q2357432","display_name":"Cheating","level":2,"score":0.7015421986579895},{"id":"https://openalex.org/C95611797","wikidata":"https://www.wikidata.org/wiki/Q17502105","display_name":"Infimum and supremum","level":2,"score":0.648544192314148},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5359272360801697},{"id":"https://openalex.org/C148699463","wikidata":"https://www.wikidata.org/wiki/Q3492668","display_name":"SSS*","level":2,"score":0.5253120064735413},{"id":"https://openalex.org/C2776261394","wikidata":"https://www.wikidata.org/wiki/Q315562","display_name":"Impossibility","level":2,"score":0.5233092308044434},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.513869047164917},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.45511725544929504},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.43166935443878174},{"id":"https://openalex.org/C3087436","wikidata":"https://www.wikidata.org/wiki/Q1386603","display_name":"Secret sharing","level":3,"score":0.41576892137527466},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4125380218029022},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35548776388168335},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.2950642704963684},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.13687744736671448},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.08445695042610168},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit.2009.5205941","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2009.5205941","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1546013828","https://openalex.org/W1560089794","https://openalex.org/W1743965195","https://openalex.org/W1825178869","https://openalex.org/W1990304797","https://openalex.org/W2018562795","https://openalex.org/W2041864238","https://openalex.org/W2045056310","https://openalex.org/W2141420453","https://openalex.org/W2159401786","https://openalex.org/W2169128714","https://openalex.org/W2172123808","https://openalex.org/W2970097841","https://openalex.org/W6698135423"],"related_works":["https://openalex.org/W2012288173","https://openalex.org/W1968538666","https://openalex.org/W2384156839","https://openalex.org/W2097662580","https://openalex.org/W3199302685","https://openalex.org/W2344072770","https://openalex.org/W2389163612","https://openalex.org/W2065650938","https://openalex.org/W2365256465","https://openalex.org/W1596090937"],"abstract_inverted_index":{"It":[0,66],"is":[1,34,41,67,77],"known":[2],"that":[3,31,69],"a":[4,18,53,84],"secret":[5],"sharing":[6],"scheme":[7],"(SSS)":[8],"with":[9,59,74],"perfect":[10,71],"cheating":[11,72],"detection":[12,73],"cannot":[13],"be":[14,106],"realized":[15],"because":[16],"such":[17],"SSS":[19,54,82],"requires":[20],"infinite":[21],"share":[22],"rates.":[23],"However,":[24],"this":[25,49],"impossibility":[26],"comes":[27],"from":[28],"the":[29,45,70,80,89,92,96,107,111],"fact":[30],"block":[32,57],"coding":[33,58],"not":[35,42],"used":[36],"and":[37],"any":[38],"decoding":[39,63],"error":[40,64],"allowed":[43],"in":[44,48,83,95],"SSS.":[46],"Hence,":[47],"paper,":[50],"we":[51],"consider":[52],"constructed":[55],"by":[56],"an":[60],"arbitrarily":[61],"small":[62],"probability.":[65],"shown":[68],"finite":[75],"rates":[76],"possible":[78],"for":[79],"2-out-of-2":[81],"certain":[85],"asymptotic":[86],"sense.":[87],"Furthermore,":[88],"supremum":[90],"of":[91,100],"achievable":[93],"exponent":[94],"maximum":[97],"success":[98],"probability":[99],"impersonation":[101],"attack":[102],"turns":[103],"out":[104],"to":[105],"mutual":[108],"information":[109],"between":[110],"two":[112],"shares.":[113]},"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
