{"id":"https://openalex.org/W4313372263","doi":"https://doi.org/10.1007/s10623-022-01160-x","title":"Maliciously circuit-private multi-key FHE and MPC based on LWE","display_name":"Maliciously circuit-private multi-key FHE and MPC based on LWE","publication_year":2022,"publication_date":"2022-12-30","ids":{"openalex":"https://openalex.org/W4313372263","doi":"https://doi.org/10.1007/s10623-022-01160-x"},"language":"en","primary_location":{"id":"doi:10.1007/s10623-022-01160-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10623-022-01160-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10623-022-01160-x.pdf","source":{"id":"https://openalex.org/S81616010","display_name":"Designs Codes and Cryptography","issn_l":"0925-1022","issn":["0925-1022","1573-7586"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Designs, Codes and Cryptography","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10623-022-01160-x.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062335887","display_name":"Nuttapong Attrapadung","orcid":"https://orcid.org/0000-0003-4116-1751"},"institutions":[{"id":"https://openalex.org/I73613424","display_name":"National Institute of Advanced Industrial Science and Technology","ror":"https://ror.org/01703db54","country_code":"JP","type":"government","lineage":["https://openalex.org/I73613424"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Nuttapong Attrapadung","raw_affiliation_strings":["National Institute of Advanced Industrial Science and Technology, 2-3-26, Aomi, Koto-ku, Tokyo 135-0064, Japan","National Institute of Advanced Industrial Science and Technology, Tokyo, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Institute of Advanced Industrial Science and Technology, 2-3-26, Aomi, Koto-ku, Tokyo 135-0064, Japan","institution_ids":["https://openalex.org/I73613424"]},{"raw_affiliation_string":"National Institute of Advanced Industrial Science and Technology, Tokyo, Japan","institution_ids":["https://openalex.org/I73613424"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047836988","display_name":"Goichiro Hanaoka","orcid":"https://orcid.org/0000-0001-6617-2962"},"institutions":[{"id":"https://openalex.org/I73613424","display_name":"National Institute of Advanced Industrial Science and Technology","ror":"https://ror.org/01703db54","country_code":"JP","type":"government","lineage":["https://openalex.org/I73613424"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Goichiro Hanaoka","raw_affiliation_strings":["National Institute of Advanced Industrial Science and Technology, 2-3-26, Aomi, Koto-ku, Tokyo 135-0064, Japan","National Institute of Advanced Industrial Science and Technology, Tokyo, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Institute of Advanced Industrial Science and Technology, 2-3-26, Aomi, Koto-ku, Tokyo 135-0064, Japan","institution_ids":["https://openalex.org/I73613424"]},{"raw_affiliation_string":"National Institute of Advanced Industrial Science and Technology, Tokyo, Japan","institution_ids":["https://openalex.org/I73613424"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000386979","display_name":"Ryo Hiromasa","orcid":"https://orcid.org/0000-0003-1273-766X"},"institutions":[{"id":"https://openalex.org/I4210133125","display_name":"Mitsubishi Electric (Japan)","ror":"https://ror.org/033y26782","country_code":"JP","type":"company","lineage":["https://openalex.org/I1306287861","https://openalex.org/I4210133125"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Ryo Hiromasa","raw_affiliation_strings":["Mitsubishi Electric, 5-1-1, Ofuna, Kamakura, Kanagawa 247-0056, Japan","Mitsubishi Electric, Kamakura, Japan"],"raw_orcid":"https://orcid.org/0000-0003-1273-766X","affiliations":[{"raw_affiliation_string":"Mitsubishi Electric, 5-1-1, Ofuna, Kamakura, Kanagawa 247-0056, Japan","institution_ids":["https://openalex.org/I4210133125"]},{"raw_affiliation_string":"Mitsubishi Electric, Kamakura, Japan","institution_ids":["https://openalex.org/I4210133125"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009841755","display_name":"Takahiro Matsuda","orcid":"https://orcid.org/0000-0002-2882-3901"},"institutions":[{"id":"https://openalex.org/I73613424","display_name":"National Institute of Advanced Industrial Science and Technology","ror":"https://ror.org/01703db54","country_code":"JP","type":"government","lineage":["https://openalex.org/I73613424"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Takahiro Matsuda","raw_affiliation_strings":["National Institute of Advanced Industrial Science and Technology, 2-3-26, Aomi, Koto-ku, Tokyo 135-0064, Japan","National Institute of Advanced Industrial Science and Technology, Tokyo, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Institute of Advanced Industrial Science and Technology, 2-3-26, Aomi, Koto-ku, Tokyo 135-0064, Japan","institution_ids":["https://openalex.org/I73613424"]},{"raw_affiliation_string":"National Institute of Advanced Industrial Science and Technology, Tokyo, Japan","institution_ids":["https://openalex.org/I73613424"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054503997","display_name":"Jacob C. N. Schuldt","orcid":null},"institutions":[{"id":"https://openalex.org/I73613424","display_name":"National Institute of Advanced Industrial Science and Technology","ror":"https://ror.org/01703db54","country_code":"JP","type":"government","lineage":["https://openalex.org/I73613424"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Jacob C. N. Schuldt","raw_affiliation_strings":["National Institute of Advanced Industrial Science and Technology, 2-3-26, Aomi, Koto-ku, Tokyo 135-0064, Japan","National Institute of Advanced Industrial Science and Technology, Tokyo, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Institute of Advanced Industrial Science and Technology, 2-3-26, Aomi, Koto-ku, Tokyo 135-0064, Japan","institution_ids":["https://openalex.org/I73613424"]},{"raw_affiliation_string":"National Institute of Advanced Industrial Science and Technology, Tokyo, Japan","institution_ids":["https://openalex.org/I73613424"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5000386979"],"corresponding_institution_ids":["https://openalex.org/I4210133125"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":0.2775,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.64735846,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"91","issue":"5","first_page":"1645","last_page":"1684"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data Security","score":1.0,"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":1.0,"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":0.9922999739646912,"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/T11130","display_name":"Coding theory and cryptography","score":0.9677000045776367,"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/homomorphic-encryption","display_name":"Homomorphic encryption","score":0.9021179676055908},{"id":"https://openalex.org/keywords/learning-with-errors","display_name":"Learning with errors","score":0.6904967427253723},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.5836055278778076},{"id":"https://openalex.org/keywords/security-parameter","display_name":"Security parameter","score":0.5660494565963745},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5628622770309448},{"id":"https://openalex.org/keywords/commitment-scheme","display_name":"Commitment scheme","score":0.5476164817810059},{"id":"https://openalex.org/keywords/oblivious-transfer","display_name":"Oblivious transfer","score":0.539432942867279},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.5330110192298889},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.513561487197876},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.48198121786117554},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.47774142026901245},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.444557249546051},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.43243294954299927},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.4144146144390106},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.40730392932891846},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3330700695514679},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3025549054145813},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.25428643822669983},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.20604559779167175},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.07894590497016907}],"concepts":[{"id":"https://openalex.org/C158338273","wikidata":"https://www.wikidata.org/wiki/Q2154943","display_name":"Homomorphic encryption","level":3,"score":0.9021179676055908},{"id":"https://openalex.org/C2779014939","wikidata":"https://www.wikidata.org/wiki/Q6510239","display_name":"Learning with errors","level":3,"score":0.6904967427253723},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.5836055278778076},{"id":"https://openalex.org/C2776711565","wikidata":"https://www.wikidata.org/wiki/Q7445058","display_name":"Security parameter","level":3,"score":0.5660494565963745},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5628622770309448},{"id":"https://openalex.org/C91399829","wikidata":"https://www.wikidata.org/wiki/Q1115684","display_name":"Commitment scheme","level":3,"score":0.5476164817810059},{"id":"https://openalex.org/C53076038","wikidata":"https://www.wikidata.org/wiki/Q2915383","display_name":"Oblivious transfer","level":3,"score":0.539432942867279},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.5330110192298889},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.513561487197876},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.48198121786117554},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.47774142026901245},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.444557249546051},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.43243294954299927},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.4144146144390106},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.40730392932891846},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3330700695514679},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3025549054145813},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.25428643822669983},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.20604559779167175},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.07894590497016907},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10623-022-01160-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10623-022-01160-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10623-022-01160-x.pdf","source":{"id":"https://openalex.org/S81616010","display_name":"Designs Codes and Cryptography","issn_l":"0925-1022","issn":["0925-1022","1573-7586"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Designs, Codes and Cryptography","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s10623-022-01160-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10623-022-01160-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10623-022-01160-x.pdf","source":{"id":"https://openalex.org/S81616010","display_name":"Designs Codes and Cryptography","issn_l":"0925-1022","issn":["0925-1022","1573-7586"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Designs, Codes and Cryptography","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.800000011920929}],"awards":[{"id":"https://openalex.org/G2520540817","display_name":null,"funder_award_id":"19H01109","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4313372263.pdf","grobid_xml":"https://content.openalex.org/works/W4313372263.grobid-xml"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W56544557","https://openalex.org/W84835382","https://openalex.org/W342125610","https://openalex.org/W1494049356","https://openalex.org/W1494774797","https://openalex.org/W1518622464","https://openalex.org/W1538012297","https://openalex.org/W1607960089","https://openalex.org/W1969009977","https://openalex.org/W1992282993","https://openalex.org/W2002616520","https://openalex.org/W2006453614","https://openalex.org/W2027471022","https://openalex.org/W2031533839","https://openalex.org/W2039605106","https://openalex.org/W2048994663","https://openalex.org/W2061949491","https://openalex.org/W2088492763","https://openalex.org/W2104952158","https://openalex.org/W2140994271","https://openalex.org/W2152926062","https://openalex.org/W2156030242","https://openalex.org/W2226167778","https://openalex.org/W2293130060","https://openalex.org/W2296488250","https://openalex.org/W2402235285","https://openalex.org/W2477092523","https://openalex.org/W2499150512","https://openalex.org/W2499340481","https://openalex.org/W2572799557","https://openalex.org/W2585373573","https://openalex.org/W2604366484","https://openalex.org/W2620838540","https://openalex.org/W2895865029","https://openalex.org/W2898733944","https://openalex.org/W3111030918"],"related_works":["https://openalex.org/W2885113919","https://openalex.org/W1979120705","https://openalex.org/W2990312466","https://openalex.org/W3029045823","https://openalex.org/W2400565204","https://openalex.org/W2898733944","https://openalex.org/W1992282993","https://openalex.org/W4313372263","https://openalex.org/W4377121354","https://openalex.org/W2883324308"],"abstract_inverted_index":{"Abstract":[0],"In":[1,35],"this":[2,93],"paper,":[3],"we":[4,153],"construct":[5,154],"multi-key":[6],"homomorphic":[7,10],"and":[8,14,45,69,119,136,167,189],"fully":[9],"encryption":[11],"(resp.":[12],"MKHE":[13],"MKFHE)":[15],"schemes":[16,22,124,181],"with":[17,27,60,67,132,160,182],"malicious":[18,168],"circuit":[19,161,191],"privacy.":[20],"Our":[21],"are":[23,176],"based":[24,50,148],"on":[25,51,149],"learning":[26,66],"errors":[28,68],"(LWE)":[29],"besides":[30,64],"appropriate":[31],"circular":[32,70,137],"security":[33,71,121,138],"assumptions.":[34,72],"contrast,":[36],"the":[37,52,120,128,142,171],"previous":[38],"maliciously":[39,104,184],"circuit-private":[40,105],"MKFHE":[41,106,111,151],"scheme":[42,107,112],"by":[43,79,113,178],"Chongchitmate":[44],"Ostrovsky":[46],"(PKC,":[47],"2017)":[48],"is":[49,108,125],"non-standard":[53],"decisional":[54],"small":[55],"polynomial":[56],"ratio":[57,135],"(DSPR)":[58],"assumption":[59],"a":[61,88,109,164,183,190],"super-polynomial":[62],"modulus,":[63],"ring":[65],"We":[73],"note":[74],"that":[75,85],"it":[76],"was":[77],"shown":[78],"Albrecht":[80],"et":[81,115,144],"al.":[82,116,145],"(CRYPTO,":[83],"2016)":[84],"there":[86],"exists":[87],"sub-exponential":[89,133],"time":[90],"attack":[91],"against":[92,163],"type":[94],"of":[95,102,122,130,195],"DSPR":[96],"assumption.":[97],"The":[98,174],"main":[99],"building":[100],"block":[101],"our":[103,123,150,180],"(plain)":[110],"Brakerski":[114,143],"(TCC,":[117],"2017),":[118],"proven":[126],"under":[127],"hardness":[129],"LWE":[131],"modulus-to-noise":[134],"assumptions":[139],"related":[140],"to":[141],"scheme.":[146],"Furthermore,":[147],"schemes,":[152],"four-round":[155],"multi-party":[156],"computation":[157],"(MPC)":[158],"protocols":[159,175],"privacy":[162],"semi-honest":[165],"server":[166],"clients":[169],"in":[170],"plain":[172],"model.":[173],"obtained":[177],"combining":[179],"sender-private":[185],"oblivious":[186],"transfer":[187],"protocol":[188],"garbling":[192],"scheme,":[193],"all":[194],"which":[196],"can":[197],"be":[198],"instantiated":[199],"only":[200],"assuming":[201],"LWE.":[202]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
