{"id":"https://openalex.org/W2904832510","doi":"https://doi.org/10.1155/2018/6362010","title":"Analysis on Matrix GSW-FHE and Optimizing Bootstrapping","display_name":"Analysis on Matrix GSW-FHE and Optimizing Bootstrapping","publication_year":2018,"publication_date":"2018-12-19","ids":{"openalex":"https://openalex.org/W2904832510","doi":"https://doi.org/10.1155/2018/6362010","mag":"2904832510"},"language":"en","primary_location":{"id":"doi:10.1155/2018/6362010","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2018/6362010","pdf_url":"https://downloads.hindawi.com/journals/scn/2018/6362010.pdf","source":{"id":"https://openalex.org/S120683614","display_name":"Security and Communication Networks","issn_l":"1939-0114","issn":["1939-0114","1939-0122"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Security and Communication Networks","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://downloads.hindawi.com/journals/scn/2018/6362010.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083113662","display_name":"Xiufeng Zhao","orcid":"https://orcid.org/0000-0002-9737-6842"},"institutions":[{"id":"https://openalex.org/I4210119388","display_name":"Zhejiang Science and Technology Information Institute","ror":"https://ror.org/02rzte064","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210119388"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiufeng Zhao","raw_affiliation_strings":["Department of Information Research and Security, Zhengzhou Information Science Technology Institute, Zhengzhou 450001, China"],"raw_orcid":"https://orcid.org/0000-0002-9737-6842","affiliations":[{"raw_affiliation_string":"Department of Information Research and Security, Zhengzhou Information Science Technology Institute, Zhengzhou 450001, China","institution_ids":["https://openalex.org/I4210119388"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009966040","display_name":"Hefeng Mao","orcid":null},"institutions":[{"id":"https://openalex.org/I4210119388","display_name":"Zhejiang Science and Technology Information Institute","ror":"https://ror.org/02rzte064","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210119388"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hefeng Mao","raw_affiliation_strings":["Department of Information Research and Security, Zhengzhou Information Science Technology Institute, Zhengzhou 450001, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information Research and Security, Zhengzhou Information Science Technology Institute, Zhengzhou 450001, China","institution_ids":["https://openalex.org/I4210119388"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101469007","display_name":"Shuai Liu","orcid":"https://orcid.org/0000-0002-4538-2415"},"institutions":[{"id":"https://openalex.org/I4210119388","display_name":"Zhejiang Science and Technology Information Institute","ror":"https://ror.org/02rzte064","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210119388"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shuai Liu","raw_affiliation_strings":["Department of Information Research and Security, Zhengzhou Information Science Technology Institute, Zhengzhou 450001, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information Research and Security, Zhengzhou Information Science Technology Institute, Zhengzhou 450001, China","institution_ids":["https://openalex.org/I4210119388"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069513110","display_name":"Weitao Song","orcid":"https://orcid.org/0000-0001-6474-2298"},"institutions":[{"id":"https://openalex.org/I4210119388","display_name":"Zhejiang Science and Technology Information Institute","ror":"https://ror.org/02rzte064","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210119388"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weitao Song","raw_affiliation_strings":["Department of Information Research and Security, Zhengzhou Information Science Technology Institute, Zhengzhou 450001, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information Research and Security, Zhengzhou Information Science Technology Institute, Zhengzhou 450001, China","institution_ids":["https://openalex.org/I4210119388"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024008212","display_name":"Bo Zhang","orcid":"https://orcid.org/0000-0003-4227-1741"},"institutions":[{"id":"https://openalex.org/I149704539","display_name":"Deakin University","ror":"https://ror.org/02czsnj07","country_code":"AU","type":"education","lineage":["https://openalex.org/I149704539"]},{"id":"https://openalex.org/I34949971","display_name":"University of Jinan","ror":"https://ror.org/02mjz6f26","country_code":"CN","type":"education","lineage":["https://openalex.org/I34949971"]}],"countries":["AU","CN"],"is_corresponding":false,"raw_author_name":"Bo Zhang","raw_affiliation_strings":["School of Information Science and Engineering, University of Jinan, Jinan 250022, China","School of Information Technology, Deakin University, Victoria 3125, Australia"],"raw_orcid":"https://orcid.org/0000-0003-4227-1741","affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, University of Jinan, Jinan 250022, China","institution_ids":["https://openalex.org/I34949971"]},{"raw_affiliation_string":"School of Information Technology, Deakin University, Victoria 3125, Australia","institution_ids":["https://openalex.org/I149704539"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5083113662"],"corresponding_institution_ids":["https://openalex.org/I4210119388"],"apc_list":{"value":2100,"currency":"USD","value_usd":2100},"apc_paid":{"value":2100,"currency":"USD","value_usd":2100},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.1548913,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2018","issue":null,"first_page":"1","last_page":"9"},"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":0.9958000183105469,"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/T10388","display_name":"Advanced Steganography and Watermarking Techniques","score":0.9882000088691711,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.8541303277015686},{"id":"https://openalex.org/keywords/homomorphic-encryption","display_name":"Homomorphic encryption","score":0.7924762964248657},{"id":"https://openalex.org/keywords/bootstrapping","display_name":"Bootstrapping (finance)","score":0.7872307300567627},{"id":"https://openalex.org/keywords/plaintext","display_name":"Plaintext","score":0.6248454451560974},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.5711408853530884},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.5328567028045654},{"id":"https://openalex.org/keywords/cloud-computing","display_name":"Cloud computing","score":0.5083920359611511},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4934345781803131},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4724212884902954},{"id":"https://openalex.org/keywords/security-analysis","display_name":"Security analysis","score":0.4144662320613861},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.41140320897102356},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.40621888637542725},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.373168408870697},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.3061003088951111},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.095269113779068},{"id":"https://openalex.org/keywords/operating-system","display_name":"Operating system","score":0.07779529690742493}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8541303277015686},{"id":"https://openalex.org/C158338273","wikidata":"https://www.wikidata.org/wiki/Q2154943","display_name":"Homomorphic encryption","level":3,"score":0.7924762964248657},{"id":"https://openalex.org/C207609745","wikidata":"https://www.wikidata.org/wiki/Q4944086","display_name":"Bootstrapping (finance)","level":2,"score":0.7872307300567627},{"id":"https://openalex.org/C92717368","wikidata":"https://www.wikidata.org/wiki/Q1162538","display_name":"Plaintext","level":3,"score":0.6248454451560974},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.5711408853530884},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.5328567028045654},{"id":"https://openalex.org/C79974875","wikidata":"https://www.wikidata.org/wiki/Q483639","display_name":"Cloud computing","level":2,"score":0.5083920359611511},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4934345781803131},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4724212884902954},{"id":"https://openalex.org/C38369872","wikidata":"https://www.wikidata.org/wiki/Q7445009","display_name":"Security analysis","level":2,"score":0.4144662320613861},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.41140320897102356},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.40621888637542725},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.373168408870697},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.3061003088951111},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.095269113779068},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.07779529690742493},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2018/6362010","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2018/6362010","pdf_url":"https://downloads.hindawi.com/journals/scn/2018/6362010.pdf","source":{"id":"https://openalex.org/S120683614","display_name":"Security and Communication Networks","issn_l":"1939-0114","issn":["1939-0114","1939-0122"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Security and Communication Networks","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:9921a61f10cf4ecbbd21399d4daa27b7","is_oa":false,"landing_page_url":"https://doaj.org/article/9921a61f10cf4ecbbd21399d4daa27b7","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Security and Communication Networks, Vol 2018 (2018)","raw_type":"article"},{"id":"pmh:oai:hindawi.com:10.1155/2018/6362010","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2018/6362010","pdf_url":null,"source":{"id":"https://openalex.org/S4306400340","display_name":"Hindawi Journal of Chemistry (Hindawi)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210126990","host_organization_name":"Hindawi (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210126990"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Research Article"}],"best_oa_location":{"id":"doi:10.1155/2018/6362010","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2018/6362010","pdf_url":"https://downloads.hindawi.com/journals/scn/2018/6362010.pdf","source":{"id":"https://openalex.org/S120683614","display_name":"Security and Communication Networks","issn_l":"1939-0114","issn":["1939-0114","1939-0122"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Security and Communication Networks","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3283309586","display_name":null,"funder_award_id":"162300410332","funder_id":"https://openalex.org/F4320323845","funder_display_name":"Natural Science Foundation of Henan Province"},{"id":"https://openalex.org/G4576113712","display_name":null,"funder_award_id":"61601515","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G62507709","display_name":null,"funder_award_id":"162300410332","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7970649664","display_name":null,"funder_award_id":"61601515","funder_id":"https://openalex.org/F4320323845","funder_display_name":"Natural Science Foundation of Henan Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320323845","display_name":"Natural Science Foundation of Henan Province","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2904832510.pdf","grobid_xml":"https://content.openalex.org/works/W2904832510.grobid-xml"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W56544557","https://openalex.org/W1493465382","https://openalex.org/W1494049356","https://openalex.org/W1874619058","https://openalex.org/W1949164874","https://openalex.org/W1966731635","https://openalex.org/W2113333997","https://openalex.org/W2139440619","https://openalex.org/W2232688100","https://openalex.org/W2400700555","https://openalex.org/W2622634204","https://openalex.org/W2781802938","https://openalex.org/W2801864478","https://openalex.org/W2807134831"],"related_works":["https://openalex.org/W2152926062","https://openalex.org/W2949607150","https://openalex.org/W2950312267","https://openalex.org/W3123945077","https://openalex.org/W2398715209","https://openalex.org/W3028898974","https://openalex.org/W3094696138","https://openalex.org/W2969350772","https://openalex.org/W2384844478","https://openalex.org/W4405184825"],"abstract_inverted_index":{"With":[0],"the":[1,7,17,40,47,133],"rapid":[2],"development":[3],"of":[4,26,42,50,60,69,103,127],"multimedia":[5,8],"technologies,":[6],"data":[9,44],"storage":[10,125],"and":[11,29,45,89,112,124],"outsource":[12],"computation":[13,123],"are":[14],"delegated":[15],"to":[16,23,38,79],"untrusted":[18],"cloud,":[19],"which":[20,120],"has":[21],"led":[22],"a":[24,66,81],"series":[25],"challenging":[27],"security":[28,59,71],"privacy":[30,41],"threats.":[31],"Fully":[32],"homomorphic":[33,115],"encryption":[34,110],"can":[35],"be":[36],"used":[37],"protect":[39],"cloud":[43],"solve":[46],"trust":[48],"problem":[49],"third":[51],"party.":[52],"In":[53],"this":[54],"paper,":[55],"we":[56],"analyse":[57],"circular":[58,70,92],"matrix":[61,73,94,104],"GSW-FHE":[62,74,95,105],"scheme.":[63,75,96],"We":[64,97],"derive":[65],"sufficient":[67],"condition":[68],"for":[72],"It":[76],"allows":[77],"us":[78],"choose":[80],"good":[82],"secret":[83],"key":[84,129],"via":[85],"\u201creject":[86],"sample\u201d":[87],"technique":[88],"furthermore":[90],"obtain":[91],"secure":[93],"also":[98],"give":[99],"an":[100],"extended":[101],"version":[102],"by":[106],"defining":[107],"deterministic":[108],"asymmetric":[109],"algorithm":[111],"propose":[113],"hybrid":[114],"plaintext":[116],"slot-wise":[117],"switching":[118],"method,":[119],"significantly":[121],"reduces":[122],"complexity":[126],"bootstrapping":[128,134],"generation,":[130],"thus":[131],"optimizing":[132],"procedure.":[135]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}