{"id":"https://openalex.org/W3157711263","doi":"https://doi.org/10.1137/130938438","title":"Finding Collisions in Interactive Protocols---Tight Lower Bounds on the Round and Communication Complexities of Statistically Hiding Commitments","display_name":"Finding Collisions in Interactive Protocols---Tight Lower Bounds on the Round and Communication Complexities of Statistically Hiding Commitments","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W3157711263","doi":"https://doi.org/10.1137/130938438","mag":"3157711263"},"language":"en","primary_location":{"id":"doi:10.1137/130938438","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130938438","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":"preprint","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2105.01417.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","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":true,"raw_author_name":"Iftach Haitner","raw_affiliation_strings":["Tel Aviv University *"],"affiliations":[{"raw_affiliation_string":"Tel Aviv University *","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027085644","display_name":"Jonathan J. Hoch","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jonathan J. Hoch","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086367709","display_name":"Omer Reingold","orcid":null},"institutions":[{"id":"https://openalex.org/I4210164937","display_name":"Microsoft Research (United Kingdom)","ror":"https://ror.org/05k87vq12","country_code":"GB","type":"company","lineage":["https://openalex.org/I1290206253","https://openalex.org/I4210164937"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Omer Reingold","raw_affiliation_strings":["(Microsoft)"],"affiliations":[{"raw_affiliation_string":"(Microsoft)","institution_ids":["https://openalex.org/I4210164937"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110233330","display_name":"Gil Segev","orcid":null},"institutions":[{"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":false,"raw_author_name":"Gil Segev","raw_affiliation_strings":["[Hebrew university of Jerusalem]"],"affiliations":[{"raw_affiliation_string":"[Hebrew university of Jerusalem]","institution_ids":["https://openalex.org/I197251160"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5061963231"],"corresponding_institution_ids":["https://openalex.org/I16391192"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.28311433,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"44","issue":"1","first_page":"193","last_page":"242"},"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/T11797","display_name":"graph theory and CDMA systems","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11598","display_name":"Internet Traffic Analysis and Secure E-voting","score":0.9973000288009644,"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/oblivious-transfer","display_name":"Oblivious transfer","score":0.7619092464447021},{"id":"https://openalex.org/keywords/corollary","display_name":"Corollary","score":0.749380886554718},{"id":"https://openalex.org/keywords/random-oracle","display_name":"Random oracle","score":0.7219890356063843},{"id":"https://openalex.org/keywords/cryptographic-primitive","display_name":"Cryptographic primitive","score":0.6988455057144165},{"id":"https://openalex.org/keywords/oracle","display_name":"Oracle","score":0.6852589845657349},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6829978227615356},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.6061248779296875},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.5077863335609436},{"id":"https://openalex.org/keywords/hash-function","display_name":"Hash function","score":0.4671081304550171},{"id":"https://openalex.org/keywords/cryptographic-protocol","display_name":"Cryptographic protocol","score":0.46372029185295105},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.42847955226898193},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.41858065128326416},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3371862769126892},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.28600582480430603},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.26905882358551025},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.26628777384757996},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.2497234046459198},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.2410496473312378},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.1273670792579651}],"concepts":[{"id":"https://openalex.org/C53076038","wikidata":"https://www.wikidata.org/wiki/Q2915383","display_name":"Oblivious transfer","level":3,"score":0.7619092464447021},{"id":"https://openalex.org/C2780012671","wikidata":"https://www.wikidata.org/wiki/Q1343870","display_name":"Corollary","level":2,"score":0.749380886554718},{"id":"https://openalex.org/C94284585","wikidata":"https://www.wikidata.org/wiki/Q228184","display_name":"Random oracle","level":4,"score":0.7219890356063843},{"id":"https://openalex.org/C15927051","wikidata":"https://www.wikidata.org/wiki/Q246593","display_name":"Cryptographic primitive","level":4,"score":0.6988455057144165},{"id":"https://openalex.org/C55166926","wikidata":"https://www.wikidata.org/wiki/Q2892946","display_name":"Oracle","level":2,"score":0.6852589845657349},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6829978227615356},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.6061248779296875},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.5077863335609436},{"id":"https://openalex.org/C99138194","wikidata":"https://www.wikidata.org/wiki/Q183427","display_name":"Hash function","level":2,"score":0.4671081304550171},{"id":"https://openalex.org/C33884865","wikidata":"https://www.wikidata.org/wiki/Q1254335","display_name":"Cryptographic protocol","level":3,"score":0.46372029185295105},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.42847955226898193},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.41858065128326416},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3371862769126892},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28600582480430603},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.26905882358551025},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.26628777384757996},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.2497234046459198},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.2410496473312378},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.1273670792579651},{"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/C115903868","wikidata":"https://www.wikidata.org/wiki/Q80993","display_name":"Software engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/130938438","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130938438","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"},{"id":"mag:3157711263","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2105.01417.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null}],"best_oa_location":{"id":"mag:3157711263","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2105.01417.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.6800000071525574}],"awards":[{"id":"https://openalex.org/G1163506680","display_name":null,"funder_award_id":"Marie Curie Career Integration Grant","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G1646403500","display_name":null,"funder_award_id":"76/11","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"},{"id":"https://openalex.org/G1699706384","display_name":null,"funder_award_id":"I-CORE","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"},{"id":"https://openalex.org/G2775013149","display_name":null,"funder_award_id":"1076/11","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"},{"id":"https://openalex.org/G3757426794","display_name":null,"funder_award_id":"483/13","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"},{"id":"https://openalex.org/G3981126665","display_name":null,"funder_award_id":"Seventh Framework Programme","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320320946","display_name":"Weizmann Institute of Science","ror":"https://ror.org/0316ej306"},{"id":"https://openalex.org/F4320322252","display_name":"Israel Science Foundation","ror":"https://ror.org/04sazxf24"},{"id":"https://openalex.org/F4320332180","display_name":"Defense Advanced Research Projects Agency","ror":"https://ror.org/02caytj08"},{"id":"https://openalex.org/F4320335016","display_name":"Israeli Centers for Research Excellence","ror":"https://ror.org/03w2v9593"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":70,"referenced_works":["https://openalex.org/W43834693","https://openalex.org/W105737949","https://openalex.org/W1485714558","https://openalex.org/W1493465382","https://openalex.org/W1495652222","https://openalex.org/W1499074627","https://openalex.org/W1511913323","https://openalex.org/W1515669336","https://openalex.org/W1517916985","https://openalex.org/W1519080809","https://openalex.org/W1550137840","https://openalex.org/W1552623664","https://openalex.org/W1574024822","https://openalex.org/W1579417917","https://openalex.org/W1588297800","https://openalex.org/W1597591185","https://openalex.org/W1601106539","https://openalex.org/W1625658248","https://openalex.org/W1934398053","https://openalex.org/W1963094505","https://openalex.org/W1972792640","https://openalex.org/W1973527459","https://openalex.org/W1982146060","https://openalex.org/W1987667503","https://openalex.org/W1987890787","https://openalex.org/W1996888795","https://openalex.org/W2004881597","https://openalex.org/W2012045293","https://openalex.org/W2013623332","https://openalex.org/W2015880590","https://openalex.org/W2016443801","https://openalex.org/W2018272912","https://openalex.org/W2025126575","https://openalex.org/W2028554387","https://openalex.org/W2036149657","https://openalex.org/W2036788199","https://openalex.org/W2044603066","https://openalex.org/W2049198367","https://openalex.org/W2069170136","https://openalex.org/W2074594718","https://openalex.org/W2077300005","https://openalex.org/W2080137555","https://openalex.org/W2088492763","https://openalex.org/W2089592270","https://openalex.org/W2090227056","https://openalex.org/W2106029203","https://openalex.org/W2117362057","https://openalex.org/W2119034454","https://openalex.org/W2130192157","https://openalex.org/W2132419708","https://openalex.org/W2133245646","https://openalex.org/W2135985872","https://openalex.org/W2136643551","https://openalex.org/W2143126652","https://openalex.org/W2150307013","https://openalex.org/W2151413173","https://openalex.org/W2151433956","https://openalex.org/W2154654620","https://openalex.org/W2155299787","https://openalex.org/W2159131895","https://openalex.org/W2164284862","https://openalex.org/W2166278075","https://openalex.org/W2166980335","https://openalex.org/W2296504403","https://openalex.org/W2406597708","https://openalex.org/W2914021656","https://openalex.org/W2990399857","https://openalex.org/W3117450064","https://openalex.org/W4250445866","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2136643551","https://openalex.org/W1592870052","https://openalex.org/W3133957339","https://openalex.org/W196507167","https://openalex.org/W1507124880","https://openalex.org/W2170795775","https://openalex.org/W3196042343","https://openalex.org/W1521848494","https://openalex.org/W2950253767","https://openalex.org/W2197751114","https://openalex.org/W1652624602","https://openalex.org/W2150405243","https://openalex.org/W2183103682","https://openalex.org/W2071683449","https://openalex.org/W2771067280","https://openalex.org/W2304319676","https://openalex.org/W3004335493","https://openalex.org/W2153657906","https://openalex.org/W126141990","https://openalex.org/W2110232583"],"abstract_inverted_index":{"We":[0,11],"study":[1],"the":[2,17,72,77,86,92],"round":[3,18],"and":[4,19,36,62,91,97],"communication":[5,20],"complexities":[6,21],"of":[7,22,27,71,88,95],"various":[8],"cryptographic":[9,52],"protocols.":[10],"give":[12],"tight":[13,46],"lower":[14,47],"bounds":[15,48],"on":[16],"any":[23],"fully":[24],"black-box":[25],"reduction":[26],"a":[28,41],"statistically":[29],"hiding":[30],"commitment":[31],"scheme":[32],"from":[33,37],"one-way":[34],"permutations,":[35],"trapdoor":[38],"permutations.":[39],"As":[40],"corollary,":[42],"we":[43],"derive":[44],"similar":[45],"for":[49,69],"several":[50],"other":[51],"protocols,":[53],"such":[54],"as":[55],"single-server":[56],"private":[57],"information":[58],"retrieval,":[59],"interactive":[60,89],"hashing,":[61],"oblivious":[63],"transfer":[64],"that":[65],"guarantees":[66],"statistical":[67],"security":[68],"one":[70],"parties.":[73],"Our":[74],"techniques":[75],"extend":[76],"collision-finding":[78],"oracle":[79],"due":[80],"to":[81,85],"Simon":[82],"(EUROCRYPT":[83],"'98)":[84],"setting":[87],"protocols":[90],"reconstruction":[93],"paradigm":[94],"Gennaro":[96],"Trevisan":[98],"(FOCS":[99],"'00).":[100]},"counts_by_year":[],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}
