{"id":"https://openalex.org/W2544957723","doi":"https://doi.org/10.1109/wifs.2011.6123132","title":"Division between encrypted integers by means of Garbled Circuits","display_name":"Division between encrypted integers by means of Garbled Circuits","publication_year":2011,"publication_date":"2011-11-01","ids":{"openalex":"https://openalex.org/W2544957723","doi":"https://doi.org/10.1109/wifs.2011.6123132","mag":"2544957723"},"language":"en","primary_location":{"id":"doi:10.1109/wifs.2011.6123132","is_oa":false,"landing_page_url":"https://doi.org/10.1109/wifs.2011.6123132","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE International Workshop on Information Forensics and Security","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/A5011222101","display_name":"Riccardo Lazzeretti","orcid":"https://orcid.org/0000-0003-3835-9679"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Riccardo Lazzeretti","raw_affiliation_strings":["Information Engineering Department, University of Sienna, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Information Engineering Department, University of Sienna, Italy","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007836692","display_name":"Mauro Barni","orcid":"https://orcid.org/0000-0002-7368-0866"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mauro Barni","raw_affiliation_strings":["Information Engineering Department, University of Sienna, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Information Engineering Department, University of Sienna, Italy","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"963","issue":null,"first_page":"1","last_page":"6"},"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":0.9965000152587891,"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/T10951","display_name":"Cryptographic Implementations and Security","score":0.9952999949455261,"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":0.9376249313354492},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7443472146987915},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.6808715462684631},{"id":"https://openalex.org/keywords/bottleneck","display_name":"Bottleneck","score":0.5906037092208862},{"id":"https://openalex.org/keywords/division","display_name":"Division (mathematics)","score":0.5681869983673096},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5596080422401428},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5554310083389282},{"id":"https://openalex.org/keywords/homomorphic-secret-sharing","display_name":"Homomorphic secret sharing","score":0.5213276743888855},{"id":"https://openalex.org/keywords/protocol","display_name":"Protocol (science)","score":0.5114454030990601},{"id":"https://openalex.org/keywords/oblivious-transfer","display_name":"Oblivious transfer","score":0.48081743717193604},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4769384264945984},{"id":"https://openalex.org/keywords/secure-multi-party-computation","display_name":"Secure multi-party computation","score":0.4234892427921295},{"id":"https://openalex.org/keywords/division-algorithm","display_name":"Division algorithm","score":0.4157015085220337},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.2819833755493164},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2761251926422119},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.225398987531662},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2096739411354065},{"id":"https://openalex.org/keywords/embedded-system","display_name":"Embedded system","score":0.14872509241104126}],"concepts":[{"id":"https://openalex.org/C158338273","wikidata":"https://www.wikidata.org/wiki/Q2154943","display_name":"Homomorphic encryption","level":3,"score":0.9376249313354492},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7443472146987915},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.6808715462684631},{"id":"https://openalex.org/C2780513914","wikidata":"https://www.wikidata.org/wiki/Q18210350","display_name":"Bottleneck","level":2,"score":0.5906037092208862},{"id":"https://openalex.org/C60798267","wikidata":"https://www.wikidata.org/wiki/Q1226939","display_name":"Division (mathematics)","level":2,"score":0.5681869983673096},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5596080422401428},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5554310083389282},{"id":"https://openalex.org/C132161212","wikidata":"https://www.wikidata.org/wiki/Q5891458","display_name":"Homomorphic secret sharing","level":4,"score":0.5213276743888855},{"id":"https://openalex.org/C2780385302","wikidata":"https://www.wikidata.org/wiki/Q367158","display_name":"Protocol (science)","level":3,"score":0.5114454030990601},{"id":"https://openalex.org/C53076038","wikidata":"https://www.wikidata.org/wiki/Q2915383","display_name":"Oblivious transfer","level":3,"score":0.48081743717193604},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4769384264945984},{"id":"https://openalex.org/C18396474","wikidata":"https://www.wikidata.org/wiki/Q2465888","display_name":"Secure multi-party computation","level":3,"score":0.4234892427921295},{"id":"https://openalex.org/C190715199","wikidata":"https://www.wikidata.org/wiki/Q3526714","display_name":"Division algorithm","level":3,"score":0.4157015085220337},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.2819833755493164},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2761251926422119},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.225398987531662},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2096739411354065},{"id":"https://openalex.org/C149635348","wikidata":"https://www.wikidata.org/wiki/Q193040","display_name":"Embedded system","level":1,"score":0.14872509241104126},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C142724271","wikidata":"https://www.wikidata.org/wiki/Q7208","display_name":"Pathology","level":1,"score":0.0},{"id":"https://openalex.org/C204787440","wikidata":"https://www.wikidata.org/wiki/Q188504","display_name":"Alternative medicine","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/wifs.2011.6123132","is_oa":false,"landing_page_url":"https://doi.org/10.1109/wifs.2011.6123132","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE International Workshop on Information Forensics and Security","raw_type":"proceedings-article"},{"id":"pmh:oai:iris.uniroma1.it:11573/967155","is_oa":false,"landing_page_url":"http://hdl.handle.net/11573/967155","pdf_url":null,"source":{"id":"https://openalex.org/S4377196107","display_name":"IRIS Research product catalog (Sapienza University of Rome)","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":null,"raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:usiena-air.unisi.it:11365/4975","is_oa":false,"landing_page_url":"http://hdl.handle.net/11365/4975","pdf_url":null,"source":{"id":"https://openalex.org/S4377196319","display_name":"Use Siena air (University of Siena)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I102064193","host_organization_name":"University of Siena","host_organization_lineage":["https://openalex.org/I102064193"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.5199999809265137}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1480225633","https://openalex.org/W1502935422","https://openalex.org/W1517731206","https://openalex.org/W1534636449","https://openalex.org/W1579771234","https://openalex.org/W1775507803","https://openalex.org/W1826277484","https://openalex.org/W1982146060","https://openalex.org/W1987667503","https://openalex.org/W2088492763","https://openalex.org/W2106217851","https://openalex.org/W2127173670","https://openalex.org/W2130051287","https://openalex.org/W2132172731","https://openalex.org/W2132690523","https://openalex.org/W2403313647","https://openalex.org/W2532025218","https://openalex.org/W2541908795","https://openalex.org/W2543861577","https://openalex.org/W2548074162","https://openalex.org/W6628587945","https://openalex.org/W6634741103","https://openalex.org/W6645909193","https://openalex.org/W6712962590"],"related_works":["https://openalex.org/W2950925411","https://openalex.org/W2783978526","https://openalex.org/W3155526168","https://openalex.org/W2151178082","https://openalex.org/W2340393497","https://openalex.org/W1494774797","https://openalex.org/W4289362701","https://openalex.org/W2899409651","https://openalex.org/W110839122","https://openalex.org/W2544957723"],"abstract_inverted_index":{"Available":[0],"protocols":[1,49,130],"for":[2,50,58,101],"dividing":[3],"encrypted":[4],"numbers":[5],"in":[6,22,48,128],"a":[7,28,98,159],"privacy":[8,51,102],"preserving":[9,52,103],"framework":[10],"are":[11],"quite":[12],"onerous.":[13],"Different":[14],"solutions":[15],"based":[16],"on":[17,108,134],"Homomorphic":[18,135],"Encryption":[19,136],"were":[20],"proposed":[21],"the":[23,46,73,76,90,143,146,163],"past":[24],"years,":[25],"but":[26],"only":[27],"few":[29],"of":[30,78,145,158,162],"them":[31],"-":[32,36],"addressing":[33],"specific":[34],"cases":[35],"can":[37,114],"be":[38,85,115],"implemented":[39],"efficiently":[40],"so":[41],"that":[42,106],"division":[43,60,74,105],"is":[44,65,165],"often":[45],"bottleneck":[47],"computation.":[53],"Moreover,":[54],"no":[55],"efficient":[56],"solution":[57,100],"integer":[59,104],"between":[61,75],"two":[62],"secret":[63,87,124],"values":[64],"available,":[66],"thus":[67],"making":[68],"it":[69,150],"difficult":[70],"to":[71,84,88,118],"compute":[72],"result":[77],"previous":[79],"computations":[80],"whose":[81],"output":[82],"has":[83],"kept":[86],"all":[89],"involved":[91],"parties.":[92],"In":[93],"this":[94],"paper":[95],"we":[96],"propose":[97],"novel":[99],"relies":[107],"Garbled":[109,138],"Circuit":[110],"theory.":[111],"The":[112,155],"protocol":[113,164],"easily":[116],"adapted":[117],"work":[119],"with":[120,151],"public,":[121],"private":[122],"and":[123,126,137],"inputs":[125],"included":[127],"hybrid":[129],"wherein":[131],"primitives":[132],"relying":[133],"Circuits":[139],"coexist.":[140],"We":[141],"analyze":[142],"complexity":[144],"new":[147],"protocol,":[148],"comparing":[149],"existing":[152],"homomorphic":[153],"solutions.":[154],"execution":[156],"time":[157],"real":[160],"implementation":[161],"also":[166],"provided.":[167]},"counts_by_year":[{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":3},{"year":2012,"cited_by_count":4}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
