{"id":"https://openalex.org/W3029084823","doi":"https://doi.org/10.1137/18m1232656","title":"Complete Characterization of Fairness in Secure Two-Party Computation of Boolean Functions","display_name":"Complete Characterization of Fairness in Secure Two-Party Computation of Boolean Functions","publication_year":2024,"publication_date":"2024-09-23","ids":{"openalex":"https://openalex.org/W3029084823","doi":"https://doi.org/10.1137/18m1232656","mag":"3029084823"},"language":"en","primary_location":{"id":"doi:10.1137/18m1232656","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1232656","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","raw_type":"journal-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/A5042677137","display_name":"Gilad Asharov","orcid":"https://orcid.org/0000-0002-0846-9773"},"institutions":[{"id":"https://openalex.org/I13955877","display_name":"Bar-Ilan University","ror":"https://ror.org/03kgsv495","country_code":"IL","type":"education","lineage":["https://openalex.org/I13955877"]},{"id":"https://openalex.org/I197251160","display_name":"Hebrew University of Jerusalem","ror":"https://ror.org/03qxff017","country_code":"IL","type":"education","lineage":["https://openalex.org/I197251160"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Gilad Asharov","raw_affiliation_strings":["Department of Computer Science, Bar-Ilan University, Ramat Gan, Israel","The Hebrew university of Jerusalem"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Bar-Ilan University, Ramat Gan, Israel","institution_ids":["https://openalex.org/I13955877"]},{"raw_affiliation_string":"The Hebrew university of Jerusalem","institution_ids":["https://openalex.org/I197251160"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031372016","display_name":"Amos Beimel","orcid":"https://orcid.org/0000-0002-6572-4195"},"institutions":[{"id":"https://openalex.org/I124227911","display_name":"Ben-Gurion University of the Negev","ror":"https://ror.org/05tkyf982","country_code":"IL","type":"education","lineage":["https://openalex.org/I124227911"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Amos Beimel","raw_affiliation_strings":["Department of Computer Science, Ben Gurion University, Be\u2019er Sheva, 84104, Israel","Ben\u2010Gurion University of the Negev"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Ben Gurion University, Be\u2019er Sheva, 84104, Israel","institution_ids":["https://openalex.org/I124227911"]},{"raw_affiliation_string":"Ben\u2010Gurion University of the Negev","institution_ids":["https://openalex.org/I124227911"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021052839","display_name":"Nikolaos Makriyannis","orcid":"https://orcid.org/0000-0002-9818-456X"},"institutions":[{"id":"https://openalex.org/I170486558","display_name":"Universitat Pompeu Fabra","ror":"https://ror.org/04n0g0b29","country_code":"ES","type":"education","lineage":["https://openalex.org/I170486558"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Nikolaos Makriyannis","raw_affiliation_strings":["Fireblocks, Tel Aviv, Israel","Universitat Pompeu Fabra"],"affiliations":[{"raw_affiliation_string":"Fireblocks, Tel Aviv, Israel","institution_ids":[]},{"raw_affiliation_string":"Universitat Pompeu Fabra","institution_ids":["https://openalex.org/I170486558"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068918856","display_name":"Eran Omri","orcid":"https://orcid.org/0000-0001-8928-0587"},"institutions":[{"id":"https://openalex.org/I52170813","display_name":"Ariel University","ror":"https://ror.org/03nz8qe97","country_code":"IL","type":"education","lineage":["https://openalex.org/I52170813"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Eran Omri","raw_affiliation_strings":["Department of Computer Science, Ariel University, Ariel, 40700, Israel","Ariel university;"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Ariel University, Ariel, 40700, Israel","institution_ids":["https://openalex.org/I52170813"]},{"raw_affiliation_string":"Ariel university;","institution_ids":["https://openalex.org/I52170813"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5042677137"],"corresponding_institution_ids":["https://openalex.org/I13955877","https://openalex.org/I197251160"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00096931,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"53","issue":"5","first_page":"1381","last_page":"1408"},"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":0.9990000128746033,"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/T10764","display_name":"Privacy-Preserving Technologies in Data","score":0.9925000071525574,"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/boolean-function","display_name":"Boolean function","score":0.657806396484375},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.5473206639289856},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.5464994311332703},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5330076813697815},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.524779736995697},{"id":"https://openalex.org/keywords/secure-multi-party-computation","display_name":"Secure multi-party computation","score":0.4765760898590088},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.454077810049057},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4291319251060486},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39076438546180725},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1609998345375061},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.13097050786018372}],"concepts":[{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.657806396484375},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.5473206639289856},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.5464994311332703},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5330076813697815},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.524779736995697},{"id":"https://openalex.org/C18396474","wikidata":"https://www.wikidata.org/wiki/Q2465888","display_name":"Secure multi-party computation","level":3,"score":0.4765760898590088},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.454077810049057},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4291319251060486},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39076438546180725},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1609998345375061},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.13097050786018372},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/18m1232656","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1232656","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.7099999785423279}],"awards":[{"id":"https://openalex.org/G1612122458","display_name":null,"funder_award_id":"239868","funder_id":"https://openalex.org/F4320334678","funder_display_name":"European Research Council"},{"id":"https://openalex.org/G2091104164","display_name":null,"funder_award_id":"544/13","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"},{"id":"https://openalex.org/G2240668461","display_name":null,"funder_award_id":"189/11","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"},{"id":"https://openalex.org/G2922961251","display_name":null,"funder_award_id":"FP/2007-2013","funder_id":"https://openalex.org/F4320334678","funder_display_name":"European Research Council"},{"id":"https://openalex.org/G668537927","display_name":null,"funder_award_id":"4/11","funder_id":"https://openalex.org/F4320335016","funder_display_name":"Israeli Centers for Research Excellence"},{"id":"https://openalex.org/G6719618806","display_name":null,"funder_award_id":"152/17","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306164","display_name":"Simons Foundation","ror":"https://ror.org/01cmst727"},{"id":"https://openalex.org/F4320322252","display_name":"Israel Science Foundation","ror":"https://ror.org/04sazxf24"},{"id":"https://openalex.org/F4320334678","display_name":"European Research Council","ror":"https://ror.org/0472cxd90"},{"id":"https://openalex.org/F4320335016","display_name":"Israeli Centers for Research Excellence","ror":"https://ror.org/03w2v9593"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W83558877","https://openalex.org/W129681726","https://openalex.org/W606919767","https://openalex.org/W1481198657","https://openalex.org/W1489883012","https://openalex.org/W1495060840","https://openalex.org/W1568042310","https://openalex.org/W1602159460","https://openalex.org/W1997859100","https://openalex.org/W2027471022","https://openalex.org/W2039275540","https://openalex.org/W2044100132","https://openalex.org/W2070974172","https://openalex.org/W2088492763","https://openalex.org/W2098728856","https://openalex.org/W2107507022","https://openalex.org/W2123640521","https://openalex.org/W2154537455","https://openalex.org/W2913157813","https://openalex.org/W3005613116"],"related_works":["https://openalex.org/W3107994849","https://openalex.org/W4247143848","https://openalex.org/W2009883749","https://openalex.org/W2735573198","https://openalex.org/W29442446","https://openalex.org/W330727063","https://openalex.org/W2069340834","https://openalex.org/W2550686250","https://openalex.org/W2083288298","https://openalex.org/W2607129240"],"abstract_inverted_index":{"Fairness":[0],"is":[1,35,39,108,138,178,250,280,326,353],"a":[2,63,109,305,318,324,335,346,362],"desirable":[3],"property":[4],"in":[5,43,45,81,105,123,160,209,225,241,339,370],"secure":[6],"computation;":[7],"informally":[8],"it":[9,352],"means":[10],"that":[11,36,56,72,117,215,235,272,351,368],"if":[12,148,151],"one":[13,281],"party":[14,279],"gets":[15],"the":[16,19,25,46,50,82,87,113,124,152,156,161,166,169,172,175,188,193,201,222,232,242,246,257,265,275,284,289],"output":[17,276],"of":[18,30,49,89,112,132,164,171,195,248,256,277],"function,":[20],"then":[21,333],"all":[22,153,213,366],"parties":[23,249,258],"get":[24],"output.":[26],"Alas,":[27],"an":[28,129],"implication":[29],"Cleve\u2019s":[31],"result":[32,104,224],"(STOC":[33],"86)":[34],"when":[37,245,274],"there":[38,53],"no":[40],"honest":[41],"majority,":[42],"particular":[44,210],"important":[47],"case":[48],"two-party":[51,83,125,266],"setting,":[52,84],"exist":[54],"functions":[55,75,93,116,214,234,298,311,367],"cannot":[57],"be":[58,77,95,119,144,237,260],"computed":[59,78,96,120,145,238],"with":[60,79,97,121,146,205,211,218,239,268,312,355],"fairness.":[61,219,313,356],"In":[62,314],"surprising":[64],"result,":[65,190],"Gordon":[66,133,196],"et":[67,134,197],"al.":[68,135,198],"(JACM":[69,199],"2011)":[70],"showed":[71],"some":[73],"interesting":[74],"can":[76,94,118,143,236,259],"fairness":[80,122,147,240],"and":[85,99,149,183,252,303,343,373],"re-opened":[86],"question":[88],"understanding":[90],"which":[91,100],"Boolean":[92,115,233,270],"fairness,":[98],"cannot.":[101],"Our":[102],"main":[103],"this":[106,127,340,371],"work":[107],"complete":[110,363],"characterization":[111,137,364],"(symmetric)":[114],"setting;":[126],"settles":[128],"open":[130],"problem":[131],"The":[136],"quite":[139],"simple:":[140],"A":[141],"function":[142,338],"only":[150],"one-vector":[154],"or":[155,168],"all-zero":[157],"vector":[158],"are":[159,216,286],"affine":[162],"span":[163],"either":[165],"rows":[167],"columns":[170],"matrix":[173],"describing":[174],"function.":[176],"This":[177],"true":[179],"for":[180,296,308,321,365],"both":[181],"deterministic":[182],"randomized":[184],"functions.":[185],"To":[186],"prove":[187],"possibility":[189],"we":[191,229,263,316,349,358],"modify":[192],"protocol":[194,203,295],"2011);":[200],"resulting":[202],"computes":[204],"full":[206],"security":[207],"(and":[208],"fairness)":[212],"computable":[217,354],"We":[220,291,332],"extend":[221],"above":[223],"two":[226,330],"directions.":[227],"First,":[228],"completely":[230],"characterize":[231],"multiparty":[243],"case,":[244],"number":[247],"constant":[251],"at":[253],"most":[254],"half":[255],"malicious.":[261],"Second,":[262],"consider":[264,334],"setting":[267],"asymmetric":[269,301,337],"functionalities,":[271],"is,":[273],"each":[278],"bit,":[282],"but":[283],"outputs":[285],"not":[287,360],"necessarily":[288],"same.":[290],"generalize":[292],"our":[293],"aforementioned":[294],"symmetric":[297],"to":[299],"handle":[300],"functions,":[302],"obtain":[304],"sufficient":[306],"condition":[307,320],"computing":[309],"such":[310],"addition,":[315],"provide":[317],"necessary":[319],"fairness;":[322],"however,":[323],"gap":[325,341],"left":[327],"between":[328],"these":[329],"conditions.":[331],"specific":[336],"area,":[342],"by":[344],"designing":[345],"new":[347],"protocol,":[348],"show":[350],"However,":[357],"do":[359],"give":[361],"lie":[369],"gap,":[372],"their":[374],"classification":[375],"remains":[376],"open.":[377]},"counts_by_year":[],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}
