{"id":"https://openalex.org/W4221101970","doi":"https://doi.org/10.2478/popets-2022-0047","title":"Efficient Set Membership Proofs using MPC-in-the-Head","display_name":"Efficient Set Membership Proofs using MPC-in-the-Head","publication_year":2022,"publication_date":"2022-03-03","ids":{"openalex":"https://openalex.org/W4221101970","doi":"https://doi.org/10.2478/popets-2022-0047"},"language":"en","primary_location":{"id":"doi:10.2478/popets-2022-0047","is_oa":true,"landing_page_url":"https://doi.org/10.2478/popets-2022-0047","pdf_url":"https://petsymposium.org/popets/2022/popets-2022-0047.pdf","source":{"id":"https://openalex.org/S4210183172","display_name":"Proceedings on Privacy Enhancing Technologies","issn_l":"2299-0984","issn":["2299-0984"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings on Privacy Enhancing Technologies","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://petsymposium.org/popets/2022/popets-2022-0047.pdf","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5023235206","display_name":"Aarushi Goel","orcid":"https://orcid.org/0000-0002-8903-6354"},"institutions":[{"id":"https://openalex.org/I111088046","display_name":"Boston University","ror":"https://ror.org/05qwgg493","country_code":"US","type":"education","lineage":["https://openalex.org/I111088046"]},{"id":"https://openalex.org/I145311948","display_name":"Johns Hopkins University","ror":"https://ror.org/00za53h95","country_code":"US","type":"education","lineage":["https://openalex.org/I145311948"]},{"id":"https://openalex.org/I204337017","display_name":"Aarhus University","ror":"https://ror.org/01aj84f44","country_code":"DK","type":"education","lineage":["https://openalex.org/I204337017"]}],"countries":["DK","US"],"is_corresponding":false,"raw_author_name":"Aarushi Goel","raw_affiliation_strings":["Johns Hopkins University","Johns Hopkins University ,","Johns Hopkins University,","Boston Univeristy","Aarhus University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Johns Hopkins University","institution_ids":["https://openalex.org/I145311948"]},{"raw_affiliation_string":"Johns Hopkins University ,","institution_ids":["https://openalex.org/I145311948"]},{"raw_affiliation_string":"Johns Hopkins University,","institution_ids":["https://openalex.org/I145311948"]},{"raw_affiliation_string":"Boston Univeristy","institution_ids":["https://openalex.org/I111088046"]},{"raw_affiliation_string":"Aarhus University","institution_ids":["https://openalex.org/I204337017"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100626525","display_name":"Matthew Green","orcid":"https://orcid.org/0000-0001-5518-3412"},"institutions":[{"id":"https://openalex.org/I111088046","display_name":"Boston University","ror":"https://ror.org/05qwgg493","country_code":"US","type":"education","lineage":["https://openalex.org/I111088046"]},{"id":"https://openalex.org/I145311948","display_name":"Johns Hopkins University","ror":"https://ror.org/00za53h95","country_code":"US","type":"education","lineage":["https://openalex.org/I145311948"]},{"id":"https://openalex.org/I204337017","display_name":"Aarhus University","ror":"https://ror.org/01aj84f44","country_code":"DK","type":"education","lineage":["https://openalex.org/I204337017"]}],"countries":["DK","US"],"is_corresponding":false,"raw_author_name":"Matthew Green","raw_affiliation_strings":["Johns Hopkins University","Boston Univeristy","Johns Hopkins University,","Aarhus University","Johns Hopkins University ,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Johns Hopkins University","institution_ids":["https://openalex.org/I145311948"]},{"raw_affiliation_string":"Boston Univeristy","institution_ids":["https://openalex.org/I111088046"]},{"raw_affiliation_string":"Johns Hopkins University,","institution_ids":["https://openalex.org/I145311948"]},{"raw_affiliation_string":"Aarhus University","institution_ids":["https://openalex.org/I204337017"]},{"raw_affiliation_string":"Johns Hopkins University ,","institution_ids":["https://openalex.org/I145311948"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077381087","display_name":"Mathias Hall-Andersen","orcid":"https://orcid.org/0000-0002-0195-6659"},"institutions":[{"id":"https://openalex.org/I111088046","display_name":"Boston University","ror":"https://ror.org/05qwgg493","country_code":"US","type":"education","lineage":["https://openalex.org/I111088046"]},{"id":"https://openalex.org/I145311948","display_name":"Johns Hopkins University","ror":"https://ror.org/00za53h95","country_code":"US","type":"education","lineage":["https://openalex.org/I145311948"]},{"id":"https://openalex.org/I204337017","display_name":"Aarhus University","ror":"https://ror.org/01aj84f44","country_code":"DK","type":"education","lineage":["https://openalex.org/I204337017"]}],"countries":["DK","US"],"is_corresponding":false,"raw_author_name":"Mathias Hall-Andersen","raw_affiliation_strings":["Aarhus University","Boston Univeristy","Johns Hopkins University ,","Johns Hopkins University,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Aarhus University","institution_ids":["https://openalex.org/I204337017"]},{"raw_affiliation_string":"Boston Univeristy","institution_ids":["https://openalex.org/I111088046"]},{"raw_affiliation_string":"Johns Hopkins University ,","institution_ids":["https://openalex.org/I145311948"]},{"raw_affiliation_string":"Johns Hopkins University,","institution_ids":["https://openalex.org/I145311948"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091589622","display_name":"Gabriel Kaptchuk","orcid":"https://orcid.org/0000-0002-8886-4748"},"institutions":[{"id":"https://openalex.org/I111088046","display_name":"Boston University","ror":"https://ror.org/05qwgg493","country_code":"US","type":"education","lineage":["https://openalex.org/I111088046"]},{"id":"https://openalex.org/I145311948","display_name":"Johns Hopkins University","ror":"https://ror.org/00za53h95","country_code":"US","type":"education","lineage":["https://openalex.org/I145311948"]},{"id":"https://openalex.org/I204337017","display_name":"Aarhus University","ror":"https://ror.org/01aj84f44","country_code":"DK","type":"education","lineage":["https://openalex.org/I204337017"]}],"countries":["DK","US"],"is_corresponding":false,"raw_author_name":"Gabriel Kaptchuk","raw_affiliation_strings":["Boston Univeristy","Aarhus University","Johns Hopkins University ,","Johns Hopkins University,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Boston Univeristy","institution_ids":["https://openalex.org/I111088046"]},{"raw_affiliation_string":"Aarhus University","institution_ids":["https://openalex.org/I204337017"]},{"raw_affiliation_string":"Johns Hopkins University ,","institution_ids":["https://openalex.org/I145311948"]},{"raw_affiliation_string":"Johns Hopkins University,","institution_ids":["https://openalex.org/I145311948"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.2486,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.82542949,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"2022","issue":"2","first_page":"304","last_page":"324"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data Security","score":0.9994999766349792,"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":0.9994999766349792,"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/T11181","display_name":"Advanced Data Storage Technologies","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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":0.9983999729156494,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.8245142698287964},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.6253735423088074},{"id":"https://openalex.org/keywords/head","display_name":"Head (geology)","score":0.601203978061676},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.479262113571167},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42697200179100037},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.20833632349967957},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.06787195801734924},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.05652207136154175}],"concepts":[{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.8245142698287964},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6253735423088074},{"id":"https://openalex.org/C2780312720","wikidata":"https://www.wikidata.org/wiki/Q5689100","display_name":"Head (geology)","level":2,"score":0.601203978061676},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.479262113571167},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42697200179100037},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.20833632349967957},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.06787195801734924},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.05652207136154175},{"id":"https://openalex.org/C114793014","wikidata":"https://www.wikidata.org/wiki/Q52109","display_name":"Geomorphology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2478/popets-2022-0047","is_oa":true,"landing_page_url":"https://doi.org/10.2478/popets-2022-0047","pdf_url":"https://petsymposium.org/popets/2022/popets-2022-0047.pdf","source":{"id":"https://openalex.org/S4210183172","display_name":"Proceedings on Privacy Enhancing Technologies","issn_l":"2299-0984","issn":["2299-0984"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings on Privacy Enhancing Technologies","raw_type":"journal-article"},{"id":"pmh:oai:pure.atira.dk:publications/74fffb41-6084-47bb-a6b9-03e282ba0aa4","is_oa":true,"landing_page_url":"https://pure.au.dk/portal/en/publications/74fffb41-6084-47bb-a6b9-03e282ba0aa4","pdf_url":null,"source":null,"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Goel, A, Green, M, Hall-Andersen, M N & Kaptchuk, G 2022, 'Efficient Set Membership Proofs using MPC-in-the-Head', Proceedings on Privacy Enhancing Technologies, vol. 2022, no. 2, pp. 304-324. https://doi.org/10.2478/popets-2022-0047","raw_type":"contributionToPeriodical"}],"best_oa_location":{"id":"doi:10.2478/popets-2022-0047","is_oa":true,"landing_page_url":"https://doi.org/10.2478/popets-2022-0047","pdf_url":"https://petsymposium.org/popets/2022/popets-2022-0047.pdf","source":{"id":"https://openalex.org/S4210183172","display_name":"Proceedings on Privacy Enhancing Technologies","issn_l":"2299-0984","issn":["2299-0984"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings on Privacy Enhancing Technologies","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.75,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G3259869316","display_name":"SaTC: CORE: Small: Secure Computation with Minimal Interaction","funder_award_id":"1814919","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G39108972","display_name":null,"funder_award_id":"N00014-19-1-2292","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G4858890005","display_name":"SaTC: CORE: Medium: Collaborative: Theory and Practice of Cryptosystems Secure Against Subversion","funder_award_id":"1801479","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4895123784","display_name":"CAREER: Towards Secure and Policy-Compliant Encrypted Communications","funder_award_id":"1653110","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5565683708","display_name":null,"funder_award_id":"2030859","funder_id":"https://openalex.org/F4320308633","funder_display_name":"Computing Research Association"},{"id":"https://openalex.org/G639234436","display_name":null,"funder_award_id":"HR00112020021","funder_id":"https://openalex.org/F4320332180","funder_display_name":"Defense Advanced Research Projects Agency"},{"id":"https://openalex.org/G6671297155","display_name":null,"funder_award_id":"CAREER","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7698193007","display_name":null,"funder_award_id":"2030859","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8571778416","display_name":"CAREER: New Frontiers in Computing on Private Data","funder_award_id":"1942789","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8876996369","display_name":null,"funder_award_id":"N00014","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320308633","display_name":"Computing Research Association","ror":"https://ror.org/00agrkd75"},{"id":"https://openalex.org/F4320309928","display_name":"Aarhus Universitet","ror":"https://ror.org/01aj84f44"},{"id":"https://openalex.org/F4320310145","display_name":"Johns Hopkins University","ror":"https://ror.org/00za53h95"},{"id":"https://openalex.org/F4320332180","display_name":"Defense Advanced Research Projects Agency","ror":"https://ror.org/02caytj08"},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4221101970.pdf","grobid_xml":"https://content.openalex.org/works/W4221101970.grobid-xml"},"referenced_works_count":48,"referenced_works":["https://openalex.org/W4180724","https://openalex.org/W159162986","https://openalex.org/W171152307","https://openalex.org/W1479826086","https://openalex.org/W1589034595","https://openalex.org/W1980227445","https://openalex.org/W2011112377","https://openalex.org/W2013686672","https://openalex.org/W2017904798","https://openalex.org/W2018746447","https://openalex.org/W2027471022","https://openalex.org/W2028000824","https://openalex.org/W2058648304","https://openalex.org/W2084652510","https://openalex.org/W2129483619","https://openalex.org/W2141420453","https://openalex.org/W2185723593","https://openalex.org/W2292275324","https://openalex.org/W2470757336","https://openalex.org/W2495842381","https://openalex.org/W2496543269","https://openalex.org/W2565287832","https://openalex.org/W2614074621","https://openalex.org/W2620662521","https://openalex.org/W2743496573","https://openalex.org/W2765206040","https://openalex.org/W2795089225","https://openalex.org/W2807864574","https://openalex.org/W2883748642","https://openalex.org/W2891063150","https://openalex.org/W2898776076","https://openalex.org/W2917473520","https://openalex.org/W2947254643","https://openalex.org/W2954369705","https://openalex.org/W2954625838","https://openalex.org/W2955754003","https://openalex.org/W2968094846","https://openalex.org/W2969207949","https://openalex.org/W2982588734","https://openalex.org/W2984674716","https://openalex.org/W2989621639","https://openalex.org/W2991209463","https://openalex.org/W3012999251","https://openalex.org/W3015408680","https://openalex.org/W3090183529","https://openalex.org/W3108196800","https://openalex.org/W3176331104","https://openalex.org/W4253987147"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W4394650907","https://openalex.org/W154364797","https://openalex.org/W4254119641","https://openalex.org/W3196207352","https://openalex.org/W2951724202","https://openalex.org/W3084261076","https://openalex.org/W2576399385"],"abstract_inverted_index":{"Abstract":[0],"Set":[1],"membership":[2,101],"proofs":[3,13,102],"are":[4,154],"an":[5,118],"invaluable":[6],"part":[7],"of":[8,20,30,55,74,122,130],"privacy":[9],"preserving":[10],"systems.":[11],"These":[12],"allow":[14],"a":[15,21,26,31,39,53,56,93],"prover":[16,76],"to":[17,25,77,103,140,178],"demonstrate":[18],"knowledge":[19],"witness":[22],"w":[23],"corresponding":[24],"secret":[27],"element":[28],"x":[29,46,51,60,67],"public":[32,57],"set,":[33],"such":[34],"that":[35,136,153,172],"they":[36],"jointly":[37],"satisfy":[38],"given":[40],"NP":[41],"relation,":[42],"i.e.":[43],"\u211b(":[44],"w,":[45],")":[47],"=":[48],"1":[49,61],"and":[50,83,157],"is":[52],"member":[54],"set":[58,100],"{":[59],",":[62,66],".":[63,64,65],"\ud835\udcc1":[68],"}.":[69],"This":[70],"allows":[71],"the":[72,75,123,166],"identity":[73],"remain":[78],"hidden,":[79],"eg.":[80],"ring":[81,142],"signatures":[82,143,146],"confidential":[84],"transactions":[85],"in":[86,145],"cryptocurrencies.":[87],"In":[88],"this":[89],"work,":[90],"we":[91],"develop":[92],"new":[94],"technique":[95,116],"for":[96],"efficiently":[97,179],"adding":[98],"logarithmic-sized":[99],"any":[104],"MPC-in-the-head":[105],"based":[106,164],"zero-knowledge":[107,128],"protocol":[108,129],"(Ishai":[109],"et":[110,132],"al.":[111,133],"[STOC\u201907]).":[112],"We":[113,169],"integrate":[114],"our":[115,138,173],"into":[117],"open":[119],"source":[120],"implementation":[121],"state-of-the-art,":[124],"post":[125],"quantum":[126],"secure":[127,182],"Katz":[131],"[CCS\u201918].We":[134],"find":[135],"using":[137],"techniques":[139,163,174],"construct":[141,180],"results":[144],"(based":[147],"only":[148,185],"on":[149,165],"symmetric":[150,186],"key":[151,187],"primitives)":[152],"between":[155],"5":[156],"10":[158],"times":[159],"smaller":[160],"than":[161],"state-of-the-art":[162],"same":[167],"assumptions.":[168],"also":[170],"show":[171],"can":[175],"be":[176],"used":[177],"post-quantum":[181],"RingCT":[183],"from":[184],"primitives.":[188]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}