{"id":"https://openalex.org/W3157661792","doi":"https://doi.org/10.1137/18m1210782","title":"Tighter Bounds on MultiParty Coin Flipping via Augmented Weak Martingales and Differentially Private Sampling","display_name":"Tighter Bounds on MultiParty Coin Flipping via Augmented Weak Martingales and Differentially Private Sampling","publication_year":2022,"publication_date":"2022-07-21","ids":{"openalex":"https://openalex.org/W3157661792","doi":"https://doi.org/10.1137/18m1210782","mag":"3157661792"},"language":"en","primary_location":{"id":"doi:10.1137/18m1210782","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1210782","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/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":true,"raw_author_name":"Amos Beimel","raw_affiliation_strings":["Department of Computer Science, Ben Gurion University"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Ben Gurion University","institution_ids":["https://openalex.org/I124227911"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061963231","display_name":"Iftach Haitner","orcid":"https://orcid.org/0000-0003-3167-3294"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Iftach Haitner","raw_affiliation_strings":["School of Computer Science, Tel Aviv University"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, Tel Aviv University","institution_ids":["https://openalex.org/I16391192"]}]},{"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/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Nikolaos Makriyannis","raw_affiliation_strings":["School of Computer Science, Tel Aviv University"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, Tel Aviv University","institution_ids":["https://openalex.org/I16391192"]}]},{"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"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Ariel University","institution_ids":["https://openalex.org/I52170813"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5031372016"],"corresponding_institution_ids":["https://openalex.org/I124227911"],"apc_list":null,"apc_paid":null,"fwci":0.5516,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.70251566,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"51","issue":"4","first_page":"1126","last_page":"1171"},"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":0.996999979019165,"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":0.9958000183105469,"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/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.7621724605560303},{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.7237892150878906},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6546944379806519},{"id":"https://openalex.org/keywords/coin-flipping","display_name":"Coin flipping","score":0.6429611444473267},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5872384309768677},{"id":"https://openalex.org/keywords/omega","display_name":"Omega","score":0.5430867075920105},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5081217288970947},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.4399162828922272},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4379185736179352},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.42511314153671265},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2477383315563202},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1426699459552765},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10675132274627686}],"concepts":[{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.7621724605560303},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.7237892150878906},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6546944379806519},{"id":"https://openalex.org/C97399411","wikidata":"https://www.wikidata.org/wiki/Q825367","display_name":"Coin flipping","level":2,"score":0.6429611444473267},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5872384309768677},{"id":"https://openalex.org/C2779557605","wikidata":"https://www.wikidata.org/wiki/Q9890","display_name":"Omega","level":2,"score":0.5430867075920105},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5081217288970947},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.4399162828922272},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4379185736179352},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.42511314153671265},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2477383315563202},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1426699459552765},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10675132274627686},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/18m1210782","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1210782","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":[],"awards":[{"id":"https://openalex.org/G545017236","display_name":null,"funder_award_id":"638121","funder_id":"https://openalex.org/F4320338335","funder_display_name":"H2020 European Research Council"},{"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/F4320322252","display_name":"Israel Science Foundation","ror":"https://ror.org/04sazxf24"},{"id":"https://openalex.org/F4320338335","display_name":"H2020 European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W101616332","https://openalex.org/W105146527","https://openalex.org/W129681726","https://openalex.org/W1481198657","https://openalex.org/W1513068474","https://openalex.org/W1568042310","https://openalex.org/W1581891510","https://openalex.org/W1602159460","https://openalex.org/W1998576364","https://openalex.org/W2026755693","https://openalex.org/W2039275540","https://openalex.org/W2043009352","https://openalex.org/W2053385217","https://openalex.org/W2070974172","https://openalex.org/W2084094661","https://openalex.org/W2098728856","https://openalex.org/W2107507022","https://openalex.org/W2154537455","https://openalex.org/W2277801718","https://openalex.org/W2494311810","https://openalex.org/W2535768635","https://openalex.org/W2592515008","https://openalex.org/W2602562802","https://openalex.org/W2805054829","https://openalex.org/W2991045807","https://openalex.org/W3168804117","https://openalex.org/W4205228770"],"related_works":["https://openalex.org/W2022413236","https://openalex.org/W2074833159","https://openalex.org/W2915071022","https://openalex.org/W2953203731","https://openalex.org/W1647416393","https://openalex.org/W2895888930","https://openalex.org/W238609530","https://openalex.org/W2184770394","https://openalex.org/W1629966990","https://openalex.org/W1549756090"],"abstract_inverted_index":{"In":[0],"his":[1],"seminal":[2],"work,":[3],"Cleve":[4,263,317],"[Proceedings":[5,86],"of":[6,14,87,119,145,176,190,207,217,252,255,262,315,339],"the":[7,38,53,88,105,116,143,173,186,196,237,240,243,249,253,260,281,301,311,337],"18th":[8],"Annual":[9,90],"ACM":[10],"Symposium":[11,92],"on":[12,93,142],"Theory":[13],"Computing,":[15],"1986,":[16],"pp.":[17,50,70,97],"364--369]":[18],"has":[19],"proved":[20],"that":[21,203,214,280,307,329],"any":[22],"$r$-round":[23,157],"coin-flipping":[24,110,146,158],"protocol":[25,118,159],"can":[26,160],"be":[27,161],"efficiently":[28,162],"biased":[29,163],"by":[30,41,61,82,115,164,296],"$\\Theta(1/r)$.":[31],"This":[32,257],"lower":[33,140],"bound":[34,141,178,189,198],"was":[35,73],"met":[36],"for":[37,75,108,150,284],"two-party":[39],"case":[40,55],"Moran,":[42],"Naor,":[43],"and":[44,52,63,72,179,245,248,264,270,287,318],"Segev":[45],"[J.":[46],"Cryptology,":[47],"29":[48],"(2016),":[49],"491--513]":[51],"three-party":[54],"(up":[56],"to":[57,124,292,335],"a":[58,138,215,304,325,331],"${polylog}$":[59],"factor)":[60],"Haitner":[62],"Tsfadia":[64],"[SIAM":[65],"J.":[66],"Comput.,":[67],"46":[68],"(2017),":[69],"479--542]":[71],"approached":[74],"$n$-party":[76,109],"protocols":[77,111],"when":[78],"$n<":[79],"{loglog}":[80,102],"r$":[81],"Buchbinder":[83],"et":[84,121,192],"al.":[85,122,193],"28th":[89],"ACM-SIAM":[91],"Discrete":[94,271],"Algorithms,":[95],"2017,":[96],"2580--2600].":[98],"For":[99],"$n":[100],">":[101],"r$,":[103],"however,":[104],"best":[106],"bias":[107,144],"remains":[112],"$O(n/\\sqrt{r})$":[113],"achieved":[114],"majority":[117],"Awerbuch":[120,191],"[How":[123],"implement":[125],"Bracha's":[126],"${O}(\\log":[127],"n)$":[128],"Byzantine":[129],"Agreement":[130],"Algorithm,":[131],"manuscript,":[132],"1985].":[133],"Our":[134],"main":[135],"result":[136,212,261,323],"is":[137,172,180,213,234,324],"tighter":[139],"protocols,":[147],"showing":[148],"that,":[149],"every":[151],"constant":[152,225],"$\\varepsilon":[153],">0$,":[154],"an":[155],"$r^{\\varepsilon}$-party":[156],"$\\widetilde{\\Omega}(1/\\sqrt{r})$.":[165],"As":[166],"far":[167,184],"as":[168],"we":[169,204],"know,":[170],"this":[171,294],"first":[174,211,244],"improvement":[175],"Cleve's":[177],"only":[181],"$n=r^{\\varepsilon}$":[182],"(multiplicative)":[183],"from":[185],"aforementioned":[187],"upper":[188],"We":[194,299],"prove":[195,300],"above":[197,282,302],"using":[199,303],"two":[200,229],"new":[201,326],"results":[202],"believe":[205],"are":[206],"independent":[208],"interest.":[209],"The":[210,321],"sequence":[216],"(``augmented'')":[218],"weak":[219],"martingales":[220],"have":[221],"large":[222],"gap:":[223],"with":[224],"probability":[226],"there":[227],"exists":[228],"adjacent":[230],"variables":[231,247],"whose":[232],"gap":[233,241,295],"at":[235],"least":[236],"ratio":[238],"between":[239,242],"last":[246],"square":[250],"root":[251],"number":[254],"variables.":[256],"generalizes":[258],"over":[259],"Impagliazzo":[265],"[Martingales,":[266],"Collective":[267],"Coin":[268],"Flipping":[269],"Control":[272],"Processes":[273],"(Extended":[274],"Abstract),":[275],"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.51.1797,":[276],"1993],":[277],"who":[278],"showed":[279],"holds":[283],"strong":[285],"martingales,":[286],"allows":[288],"in":[289],"some":[290],"setting":[291],"exploit":[293],"efficient":[297],"algorithms.":[298],"novel":[305],"argument":[306],"does":[308],"not":[309],"follow":[310],"more":[312],"complicated":[313],"approach":[314],"R.":[316,319],"Impagliazzo.":[320],"second":[322],"sampling":[327],"algorithm":[328],"uses":[330],"differentially":[332],"private":[333],"mechanism":[334],"minimize":[336],"effect":[338],"data":[340],"divergence.":[341]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
