{"id":"https://openalex.org/W2920888886","doi":"https://doi.org/10.23919/isita.2018.8664254","title":"An Improvement on the Linear Algebraic Attack for the Indeterminate Equation Encryption Scheme","display_name":"An Improvement on the Linear Algebraic Attack for the Indeterminate Equation Encryption Scheme","publication_year":2018,"publication_date":"2018-10-01","ids":{"openalex":"https://openalex.org/W2920888886","doi":"https://doi.org/10.23919/isita.2018.8664254","mag":"2920888886"},"language":"en","primary_location":{"id":"doi:10.23919/isita.2018.8664254","is_oa":false,"landing_page_url":"https://doi.org/10.23919/isita.2018.8664254","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 International Symposium on Information Theory and Its Applications (ISITA)","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/A5038959994","display_name":"Yasuhiko Ikematsu","orcid":"https://orcid.org/0000-0002-9714-2675"},"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":true,"raw_author_name":"Yasuhiko Ikematsu","raw_affiliation_strings":["Department of Mathematical Informatics, The University of Tokyo, Tokyo, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Informatics, The University of Tokyo, Tokyo, Japan","institution_ids":["https://openalex.org/I74801974"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075847489","display_name":"Koichiro Akiyama","orcid":null},"institutions":[{"id":"https://openalex.org/I1292669757","display_name":"Toshiba (Japan)","ror":"https://ror.org/0326v3z14","country_code":"JP","type":"company","lineage":["https://openalex.org/I1292669757"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Koichiro Akiyama","raw_affiliation_strings":["Computer Architecture and Network Systems Laboratory, Corporate R&D Center, Toshiba Corporation"],"affiliations":[{"raw_affiliation_string":"Computer Architecture and Network Systems Laboratory, Corporate R&D Center, Toshiba Corporation","institution_ids":["https://openalex.org/I1292669757"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000004915","display_name":"Tsuyoshi Takagi","orcid":null},"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":"Tsuyoshi Takagi","raw_affiliation_strings":["Department of Mathematical Informatics, The University of Tokyo, Tokyo, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Informatics, The University of Tokyo, Tokyo, Japan","institution_ids":["https://openalex.org/I74801974"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5038959994"],"corresponding_institution_ids":["https://openalex.org/I74801974"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.18907047,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"389","last_page":"393"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data Security","score":0.9991999864578247,"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":0.9991999864578247,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.998199999332428,"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"}},{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9980999827384949,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.6517486572265625},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.6105582118034363},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.5201904773712158},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.49703505635261536},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.49055737257003784},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47614550590515137},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4652790427207947},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.4440404176712036},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.43750548362731934},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.41593965888023376},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3390454649925232},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.20652106404304504},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07876899838447571}],"concepts":[{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.6517486572265625},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.6105582118034363},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.5201904773712158},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.49703505635261536},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.49055737257003784},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47614550590515137},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4652790427207947},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.4440404176712036},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.43750548362731934},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.41593965888023376},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3390454649925232},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.20652106404304504},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07876899838447571},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","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:10.23919/isita.2018.8664254","is_oa":false,"landing_page_url":"https://doi.org/10.23919/isita.2018.8664254","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 International Symposium on Information Theory and Its Applications (ISITA)","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":8,"referenced_works":["https://openalex.org/W1819813188","https://openalex.org/W2111416661","https://openalex.org/W2126483728","https://openalex.org/W2141040012","https://openalex.org/W2168676717","https://openalex.org/W2778118893","https://openalex.org/W2794799187","https://openalex.org/W3011907935"],"related_works":["https://openalex.org/W2075768550","https://openalex.org/W3022218857","https://openalex.org/W2369178846","https://openalex.org/W2370289839","https://openalex.org/W2082716031","https://openalex.org/W2933494595","https://openalex.org/W4313347705","https://openalex.org/W1568049691","https://openalex.org/W1590096425","https://openalex.org/W1895124089"],"abstract_inverted_index":{"At":[0],"SAC2017,":[1],"Akiyama":[2,48],"et":[3,49],"al.":[4,50],"proposed":[5,52,97],"the":[6,55,61,68,87,93,116,120],"indeterminate":[7,20],"equation":[8],"encryption":[9,29],"scheme":[10,37],"whose":[11],"security":[12],"is":[13,23,38,124,128,138,142],"based":[14],"on":[15,82,95],"a":[16,39,45,110],"solution":[17],"problem":[18],"of":[19,26,119,136],"equation.":[21],"It":[22],"an":[24,80],"extension":[25],"algebraic":[27,57],"surface":[28],"scheme.":[30,74],"A":[31],"public":[32,121],"key":[33,62,122],"X":[34,123,137],"for":[35],"this":[36,73,76],"polynomial":[40],"in":[41],"two":[42,53],"variables":[43],"over":[44],"finite":[46],"ring.":[47],"also":[51],"attacks,":[54],"linear":[56],"attack":[58,64],"(LAA)":[59],"and":[60,92,100,133],"recovery":[63],"(KRA),":[65],"by":[66,98,107],"using":[67],"lattice":[69],"structure":[70],"associated":[71],"with":[72],"In":[75],"paper,":[77],"we":[78,85,112],"give":[79],"improvement":[81,91,94],"LAA.":[83],"Also":[84],"explain":[86],"relation":[88],"between":[89],"our":[90],"LAA":[96,132,141],"Xagawa":[99],"examine":[101],"parameters":[102],"that":[103,114,135],"those":[104],"attacks":[105],"fail":[106],"experiments.":[108],"As":[109],"result,":[111],"conclude":[113],"if":[115,134],"total":[117],"degree":[118],"one,":[125],"then":[126,140],"KRA":[127],"more":[129,143],"efficient":[130,144],"than":[131,145],"two,":[139],"KRA.":[146]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}