{"id":"https://openalex.org/W2943497929","doi":"https://doi.org/10.1109/access.2019.2913943","title":"Efficient Multi-Key FHE With Short Extended Ciphertexts and Directed Decryption Protocol","display_name":"Efficient Multi-Key FHE With Short Extended Ciphertexts and Directed Decryption Protocol","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2943497929","doi":"https://doi.org/10.1109/access.2019.2913943","mag":"2943497929"},"language":"en","primary_location":{"id":"doi:10.1109/access.2019.2913943","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2913943","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08703049.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08703049.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100608160","display_name":"Ningbo Li","orcid":"https://orcid.org/0000-0002-9832-2483"},"institutions":[{"id":"https://openalex.org/I4210134428","display_name":"Chinese People's Armed Police Force Engineering University","ror":"https://ror.org/031jzbb03","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210134428"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ningbo Li","raw_affiliation_strings":["Key Laboratory of Network and Information Security under the People\u2019s Armed Police, College of Cryptography Engineering, Engineering University of People\u2019s Armed Police, Xi\u2019an, China","Key Laboratory of Network and Information Security under the People's Armed Police, College of Cryptography Engineering, Engineering University of People's Armed Police, Xi'an, China"],"raw_orcid":"https://orcid.org/0000-0002-9832-2483","affiliations":[{"raw_affiliation_string":"Key Laboratory of Network and Information Security under the People\u2019s Armed Police, College of Cryptography Engineering, Engineering University of People\u2019s Armed Police, Xi\u2019an, China","institution_ids":["https://openalex.org/I4210134428"]},{"raw_affiliation_string":"Key Laboratory of Network and Information Security under the People's Armed Police, College of Cryptography Engineering, Engineering University of People's Armed Police, Xi'an, China","institution_ids":["https://openalex.org/I4210134428"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037674620","display_name":"Tanping Zhou","orcid":"https://orcid.org/0000-0001-6325-5965"},"institutions":[{"id":"https://openalex.org/I4210134428","display_name":"Chinese People's Armed Police Force Engineering University","ror":"https://ror.org/031jzbb03","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210134428"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tanping Zhou","raw_affiliation_strings":["Key Laboratory of Network and Information Security under the People\u2019s Armed Police, College of Cryptography Engineering, Engineering University of People\u2019s Armed Police, Xi\u2019an, China","Key Laboratory of Network and Information Security under the People's Armed Police, College of Cryptography Engineering, Engineering University of People's Armed Police, Xi'an, China"],"raw_orcid":"https://orcid.org/0000-0001-6325-5965","affiliations":[{"raw_affiliation_string":"Key Laboratory of Network and Information Security under the People\u2019s Armed Police, College of Cryptography Engineering, Engineering University of People\u2019s Armed Police, Xi\u2019an, China","institution_ids":["https://openalex.org/I4210134428"]},{"raw_affiliation_string":"Key Laboratory of Network and Information Security under the People's Armed Police, College of Cryptography Engineering, Engineering University of People's Armed Police, Xi'an, China","institution_ids":["https://openalex.org/I4210134428"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050934064","display_name":"Xiaoyuan Yang","orcid":"https://orcid.org/0000-0003-4095-3837"},"institutions":[{"id":"https://openalex.org/I4210134428","display_name":"Chinese People's Armed Police Force Engineering University","ror":"https://ror.org/031jzbb03","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210134428"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaoyuan Yang","raw_affiliation_strings":["Key Laboratory of Network and Information Security under the People\u2019s Armed Police, College of Cryptography Engineering, Engineering University of People\u2019s Armed Police, Xi\u2019an, China","Key Laboratory of Network and Information Security under the People's Armed Police, College of Cryptography Engineering, Engineering University of People's Armed Police, Xi'an, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Network and Information Security under the People\u2019s Armed Police, College of Cryptography Engineering, Engineering University of People\u2019s Armed Police, Xi\u2019an, China","institution_ids":["https://openalex.org/I4210134428"]},{"raw_affiliation_string":"Key Laboratory of Network and Information Security under the People's Armed Police, College of Cryptography Engineering, Engineering University of People's Armed Police, Xi'an, China","institution_ids":["https://openalex.org/I4210134428"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066586188","display_name":"Yiliang Han","orcid":"https://orcid.org/0000-0002-2116-5408"},"institutions":[{"id":"https://openalex.org/I4210134428","display_name":"Chinese People's Armed Police Force Engineering University","ror":"https://ror.org/031jzbb03","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210134428"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yiliang Han","raw_affiliation_strings":["Key Laboratory of Network and Information Security under the People\u2019s Armed Police, College of Cryptography Engineering, Engineering University of People\u2019s Armed Police, Xi\u2019an, China","Key Laboratory of Network and Information Security under the People's Armed Police, College of Cryptography Engineering, Engineering University of People's Armed Police, Xi'an, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Network and Information Security under the People\u2019s Armed Police, College of Cryptography Engineering, Engineering University of People\u2019s Armed Police, Xi\u2019an, China","institution_ids":["https://openalex.org/I4210134428"]},{"raw_affiliation_string":"Key Laboratory of Network and Information Security under the People's Armed Police, College of Cryptography Engineering, Engineering University of People's Armed Police, Xi'an, China","institution_ids":["https://openalex.org/I4210134428"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101535041","display_name":"Wenchao Liu","orcid":"https://orcid.org/0000-0002-3416-5626"},"institutions":[{"id":"https://openalex.org/I4210134428","display_name":"Chinese People's Armed Police Force Engineering University","ror":"https://ror.org/031jzbb03","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210134428"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenchao Liu","raw_affiliation_strings":["Key Laboratory of Network and Information Security under the People\u2019s Armed Police, College of Cryptography Engineering, Engineering University of People\u2019s Armed Police, Xi\u2019an, China","Key Laboratory of Network and Information Security under the People's Armed Police, College of Cryptography Engineering, Engineering University of People's Armed Police, Xi'an, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Network and Information Security under the People\u2019s Armed Police, College of Cryptography Engineering, Engineering University of People\u2019s Armed Police, Xi\u2019an, China","institution_ids":["https://openalex.org/I4210134428"]},{"raw_affiliation_string":"Key Laboratory of Network and Information Security under the People's Armed Police, College of Cryptography Engineering, Engineering University of People's Armed Police, Xi'an, China","institution_ids":["https://openalex.org/I4210134428"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065181632","display_name":"Guangsheng Tu","orcid":"https://orcid.org/0000-0002-1119-7270"},"institutions":[{"id":"https://openalex.org/I4210134428","display_name":"Chinese People's Armed Police Force Engineering University","ror":"https://ror.org/031jzbb03","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210134428"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guangsheng Tu","raw_affiliation_strings":["Key Laboratory of Network and Information Security under the People\u2019s Armed Police, College of Cryptography Engineering, Engineering University of People\u2019s Armed Police, Xi\u2019an, China","Key Laboratory of Network and Information Security under the People's Armed Police, College of Cryptography Engineering, Engineering University of People's Armed Police, Xi'an, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Network and Information Security under the People\u2019s Armed Police, College of Cryptography Engineering, Engineering University of People\u2019s Armed Police, Xi\u2019an, China","institution_ids":["https://openalex.org/I4210134428"]},{"raw_affiliation_string":"Key Laboratory of Network and Information Security under the People's Armed Police, College of Cryptography Engineering, Engineering University of People's Armed Police, Xi'an, China","institution_ids":["https://openalex.org/I4210134428"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":1.4461,"has_fulltext":true,"cited_by_count":23,"citation_normalized_percentile":{"value":0.86510969,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"7","issue":null,"first_page":"56724","last_page":"56732"},"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9797000288963318,"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/T13768","display_name":"Oral and gingival health research","score":0.9750000238418579,"subfield":{"id":"https://openalex.org/subfields/3611","display_name":"Pharmacy"},"field":{"id":"https://openalex.org/fields/36","display_name":"Health Professions"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/ciphertext","display_name":"Ciphertext","score":0.8793047666549683},{"id":"https://openalex.org/keywords/plaintext","display_name":"Plaintext","score":0.7609829902648926},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7219333052635193},{"id":"https://openalex.org/keywords/homomorphic-encryption","display_name":"Homomorphic encryption","score":0.684382438659668},{"id":"https://openalex.org/keywords/chinese-remainder-theorem","display_name":"Chinese remainder theorem","score":0.6255075931549072},{"id":"https://openalex.org/keywords/malleability","display_name":"Malleability","score":0.5459335446357727},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.5119836926460266},{"id":"https://openalex.org/keywords/semantic-security","display_name":"Semantic security","score":0.5025134086608887},{"id":"https://openalex.org/keywords/plaintext-aware-encryption","display_name":"Plaintext-aware encryption","score":0.4641808867454529},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.4546816647052765},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.42564183473587036},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4069538116455078},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.3793431520462036},{"id":"https://openalex.org/keywords/deterministic-encryption","display_name":"Deterministic encryption","score":0.32106927037239075},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.300069123506546},{"id":"https://openalex.org/keywords/attribute-based-encryption","display_name":"Attribute-based encryption","score":0.2709541320800781},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.200109601020813},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.19098249077796936}],"concepts":[{"id":"https://openalex.org/C93974786","wikidata":"https://www.wikidata.org/wiki/Q1589480","display_name":"Ciphertext","level":3,"score":0.8793047666549683},{"id":"https://openalex.org/C92717368","wikidata":"https://www.wikidata.org/wiki/Q1162538","display_name":"Plaintext","level":3,"score":0.7609829902648926},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7219333052635193},{"id":"https://openalex.org/C158338273","wikidata":"https://www.wikidata.org/wiki/Q2154943","display_name":"Homomorphic encryption","level":3,"score":0.684382438659668},{"id":"https://openalex.org/C151635116","wikidata":"https://www.wikidata.org/wiki/Q193878","display_name":"Chinese remainder theorem","level":2,"score":0.6255075931549072},{"id":"https://openalex.org/C100980136","wikidata":"https://www.wikidata.org/wiki/Q4668956","display_name":"Malleability","level":4,"score":0.5459335446357727},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.5119836926460266},{"id":"https://openalex.org/C204806902","wikidata":"https://www.wikidata.org/wiki/Q2333581","display_name":"Semantic security","level":5,"score":0.5025134086608887},{"id":"https://openalex.org/C119133118","wikidata":"https://www.wikidata.org/wiki/Q7200761","display_name":"Plaintext-aware encryption","level":5,"score":0.4641808867454529},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.4546816647052765},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.42564183473587036},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4069538116455078},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.3793431520462036},{"id":"https://openalex.org/C57795399","wikidata":"https://www.wikidata.org/wiki/Q5265706","display_name":"Deterministic encryption","level":4,"score":0.32106927037239075},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.300069123506546},{"id":"https://openalex.org/C7646194","wikidata":"https://www.wikidata.org/wiki/Q4818713","display_name":"Attribute-based encryption","level":4,"score":0.2709541320800781},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.200109601020813},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.19098249077796936}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2019.2913943","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2913943","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08703049.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:fccc86f72e3640efa435b463d6c29022","is_oa":true,"landing_page_url":"https://doaj.org/article/fccc86f72e3640efa435b463d6c29022","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 7, Pp 56724-56732 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2019.2913943","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2913943","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08703049.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1789185588","display_name":null,"funder_award_id":"2017-MS-18","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2067983305","display_name":null,"funder_award_id":"2017YFB0802000","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2862267523","display_name":null,"funder_award_id":"61772550","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3517956785","display_name":"\u57fa\u4e8e\u52a0\u5bc6\u8fc7\u7a0b\u7684\u5bc6\u6587\u57df\u53ef\u9006\u4fe1\u606f\u9690\u85cf\u7406\u8bba\u4e0e\u65b9\u6cd5\u7814\u7a76","funder_award_id":"61872384","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7322359168","display_name":null,"funder_award_id":"U1636114","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8155079108","display_name":null,"funder_award_id":"61572521","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8803126614","display_name":null,"funder_award_id":"Grant 61872384","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2943497929.pdf","grobid_xml":"https://content.openalex.org/works/W2943497929.grobid-xml"},"referenced_works_count":34,"referenced_works":["https://openalex.org/W44936433","https://openalex.org/W56544557","https://openalex.org/W913176383","https://openalex.org/W1494049356","https://openalex.org/W1675339804","https://openalex.org/W1755636270","https://openalex.org/W1992282993","https://openalex.org/W2006453614","https://openalex.org/W2031533839","https://openalex.org/W2048994663","https://openalex.org/W2080911030","https://openalex.org/W2152926062","https://openalex.org/W2156030242","https://openalex.org/W2159486442","https://openalex.org/W2176745559","https://openalex.org/W2206887593","https://openalex.org/W2296488250","https://openalex.org/W2401959250","https://openalex.org/W2402235285","https://openalex.org/W2499150512","https://openalex.org/W2499340481","https://openalex.org/W2538296643","https://openalex.org/W2554750353","https://openalex.org/W2585373573","https://openalex.org/W2766141585","https://openalex.org/W2768505000","https://openalex.org/W2793018217","https://openalex.org/W2811070945","https://openalex.org/W2888852652","https://openalex.org/W2990399857","https://openalex.org/W6609148260","https://openalex.org/W6622512067","https://openalex.org/W6624526749","https://openalex.org/W6637825192"],"related_works":["https://openalex.org/W2026063244","https://openalex.org/W28861363","https://openalex.org/W32954550","https://openalex.org/W2587915807","https://openalex.org/W1553229430","https://openalex.org/W2081859688","https://openalex.org/W1988628032","https://openalex.org/W1536085039","https://openalex.org/W2570425541","https://openalex.org/W2282389253"],"abstract_inverted_index":{"Multi-key":[0],"full":[1],"homomorphic":[2,137,216],"encryption":[3],"(MKFHE)":[4],"can":[5,21,121,153,208],"perform":[6],"arbitrary":[7],"operations":[8],"on":[9,46],"encrypted":[10],"data":[11,189],"under":[12],"different":[13],"public":[14],"keys":[15],"(users),":[16],"and":[17,34,66,85,87,113,142,161,196],"the":[18,50,63,68,123,126,135,146,156,163,174,186,198,205],"final":[19],"ciphertext":[20,109,115,141,144,176,207],"be":[22,178,210],"jointly":[23],"decrypted":[24,179,211],"by":[25,180,212],"all":[26],"involved":[27,214],"users.":[28],"Therefore,":[29],"MKFHE":[30,43,102,202],"has":[31],"natural":[32],"advantages":[33,51],"application":[35],"value":[36],"in":[37,56,200,215],"security":[38],"multi-party":[39],"computation":[40],"(MPC).":[41],"The":[42],"scheme":[44,55],"based":[45],"Brakerski-Gentry-Vaikuntanathan":[47],"(BGV)":[48],"inherits":[49],"of":[52,58,90,125,149,158,188],"BGV":[53,112],"FHE":[54],"aspects":[57],"encrypting":[59],"a":[60,107,130,168],"ring":[61],"element,":[62],"ciphertext/plaintext":[64],"ratio,":[65],"supporting":[67],"Chinese":[69],"remainder":[70],"theorem":[71],"(CRT)-based":[72],"ciphertexts":[73,84,128,160],"packing":[74],"technique.":[75],"However":[76],"some":[77],"weaknesses":[78],"also":[79],"exist":[80],"such":[81],"as":[82],"large":[83],"keys,":[86,151],"complicated":[88],"process":[89,148],"generating":[91],"evaluation":[92,150],"keys.":[93],"In":[94],"this":[95],"paper,":[96],"we":[97,105,133,166],"present":[98],"an":[99],"efficient":[100],"BGV-type":[101],"scheme.":[103],"First,":[104],"construct":[106,167],"nested":[108],"extension":[110,116],"for":[111,117],"separable":[114],"Gentry-Sahai-Waters":[118],"(GSW),":[119],"which":[120,152,172],"reduce":[122,155],"size":[124],"extended":[127],"about":[129],"half.":[131],"Second,":[132],"apply":[134],"hybrid":[136],"multiplication":[138],"between":[139],"RBGV":[140],"RGSW":[143],"to":[145,177,191],"generation":[147],"significantly":[154],"amount":[157],"input/output":[159],"improve":[162],"efficiency.":[164],"Finally,":[165],"directed":[169],"decryption":[170],"protocol":[171],"allows":[173],"evaluated":[175,206],"any":[181],"target":[182],"user,":[183],"thereby":[184],"enhancing":[185],"ability":[187],"owner":[190],"control":[192],"their":[193],"own":[194],"plaintext,":[195],"abolish":[197],"limitation":[199],"current":[201],"schemes":[203],"that":[204],"only":[209],"users":[213],"evaluation.":[217]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":5},{"year":2019,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
