{"id":"https://openalex.org/W2768749564","doi":"https://doi.org/10.1109/iwcit.2018.8405043","title":"Private function retrieval","display_name":"Private function retrieval","publication_year":2018,"publication_date":"2018-04-01","ids":{"openalex":"https://openalex.org/W2768749564","doi":"https://doi.org/10.1109/iwcit.2018.8405043","mag":"2768749564"},"language":"en","primary_location":{"id":"doi:10.1109/iwcit.2018.8405043","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iwcit.2018.8405043","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 Iran Workshop on Communication and Information Theory (IWCIT)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1711.04677","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5035804797","display_name":"Mahtab Mirmohseni","orcid":"https://orcid.org/0000-0002-5247-5820"},"institutions":[{"id":"https://openalex.org/I133529467","display_name":"Sharif University of Technology","ror":"https://ror.org/024c2fq17","country_code":"IR","type":"education","lineage":["https://openalex.org/I133529467"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Mahtab Mirmohseni","raw_affiliation_strings":["Department of Electrical Engineering, Sharif University of Technology, Tehran, Iran","Department of Electrical Engineering, Sharif University of Technology Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Sharif University of Technology, Tehran, Iran","institution_ids":["https://openalex.org/I133529467"]},{"raw_affiliation_string":"Department of Electrical Engineering, Sharif University of Technology Tehran, Iran","institution_ids":["https://openalex.org/I133529467"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113662214","display_name":"Mohammad Ali Maddah-Ali","orcid":null},"institutions":[{"id":"https://openalex.org/I133529467","display_name":"Sharif University of Technology","ror":"https://ror.org/024c2fq17","country_code":"IR","type":"education","lineage":["https://openalex.org/I133529467"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Mohammad Ali Maddah-Ali","raw_affiliation_strings":["Department of Electrical Engineering, Sharif University of Technology, Tehran, Iran","Department of Electrical Engineering, Sharif University of Technology Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Sharif University of Technology, Tehran, Iran","institution_ids":["https://openalex.org/I133529467"]},{"raw_affiliation_string":"Department of Electrical Engineering, Sharif University of Technology Tehran, Iran","institution_ids":["https://openalex.org/I133529467"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5035804797"],"corresponding_institution_ids":["https://openalex.org/I133529467"],"apc_list":null,"apc_paid":null,"fwci":3.57412426,"has_fulltext":true,"cited_by_count":21,"citation_normalized_percentile":{"value":0.92723022,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data Security","score":0.9997000098228455,"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":0.9997000098228455,"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/T10764","display_name":"Privacy-Preserving Technologies in Data","score":0.9983000159263611,"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/T11478","display_name":"Caching and Content Delivery","score":0.9944999814033508,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/delegate","display_name":"Delegate","score":0.824618935585022},{"id":"https://openalex.org/keywords/server","display_name":"Server","score":0.8020066022872925},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.6076549887657166},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5599779486656189},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.5595906376838684},{"id":"https://openalex.org/keywords/private-information-retrieval","display_name":"Private information retrieval","score":0.5013265609741211},{"id":"https://openalex.org/keywords/field-size","display_name":"Field size","score":0.4835602939128876},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.4447004199028015},{"id":"https://openalex.org/keywords/communication-complexity","display_name":"Communication complexity","score":0.41533926129341125},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40611904859542847},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.37250810861587524},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2742169499397278},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.26701095700263977},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1649383306503296},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.1239972710609436},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.09252440929412842}],"concepts":[{"id":"https://openalex.org/C143273055","wikidata":"https://www.wikidata.org/wiki/Q2382794","display_name":"Delegate","level":2,"score":0.824618935585022},{"id":"https://openalex.org/C93996380","wikidata":"https://www.wikidata.org/wiki/Q44127","display_name":"Server","level":2,"score":0.8020066022872925},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.6076549887657166},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5599779486656189},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.5595906376838684},{"id":"https://openalex.org/C99221444","wikidata":"https://www.wikidata.org/wiki/Q1532069","display_name":"Private information retrieval","level":2,"score":0.5013265609741211},{"id":"https://openalex.org/C3019527723","wikidata":"https://www.wikidata.org/wiki/Q260899","display_name":"Field size","level":3,"score":0.4835602939128876},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.4447004199028015},{"id":"https://openalex.org/C179145077","wikidata":"https://www.wikidata.org/wiki/Q5154130","display_name":"Communication complexity","level":2,"score":0.41533926129341125},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40611904859542847},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.37250810861587524},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2742169499397278},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.26701095700263977},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1649383306503296},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.1239972710609436},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.09252440929412842},{"id":"https://openalex.org/C104293457","wikidata":"https://www.wikidata.org/wiki/Q28324852","display_name":"Imaging phantom","level":2,"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/iwcit.2018.8405043","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iwcit.2018.8405043","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 Iran Workshop on Communication and Information Theory (IWCIT)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1711.04677","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1711.04677","pdf_url":"https://arxiv.org/pdf/1711.04677","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":"","raw_type":"text"},{"id":"mag:2768749564","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1711.04677.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},{"id":"doi:10.48550/arxiv.1711.04677","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1711.04677","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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1711.04677","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1711.04677","pdf_url":"https://arxiv.org/pdf/1711.04677","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":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2768749564.pdf","grobid_xml":"https://content.openalex.org/works/W2768749564.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W2007725949","https://openalex.org/W2105185344","https://openalex.org/W2106248279","https://openalex.org/W2150307013","https://openalex.org/W2345668313","https://openalex.org/W2472075427","https://openalex.org/W2524023279","https://openalex.org/W2536862651","https://openalex.org/W2599749253","https://openalex.org/W2617565736","https://openalex.org/W2621688363","https://openalex.org/W2757498728","https://openalex.org/W2766909070","https://openalex.org/W2963547297","https://openalex.org/W6669064135","https://openalex.org/W6704558675","https://openalex.org/W6715349062","https://openalex.org/W6727961671","https://openalex.org/W6738835244","https://openalex.org/W6739303810","https://openalex.org/W6745682110"],"related_works":["https://openalex.org/W2073346043","https://openalex.org/W2962692592","https://openalex.org/W2599749253","https://openalex.org/W2963413537","https://openalex.org/W2768218911","https://openalex.org/W2766909070","https://openalex.org/W3105958450","https://openalex.org/W2774968492","https://openalex.org/W2671962986","https://openalex.org/W3100195636","https://openalex.org/W2752936485","https://openalex.org/W2593599278","https://openalex.org/W2007725949","https://openalex.org/W171567834","https://openalex.org/W2746464728","https://openalex.org/W2732478617","https://openalex.org/W2621688363","https://openalex.org/W2584331985","https://openalex.org/W2531251918","https://openalex.org/W1619839175"],"abstract_inverted_index":{"The":[0,81],"widespread":[1],"use":[2],"of":[3,10,27,64,97,105,111,123,162,165,175,202,205],"cloud":[4],"computing":[5,41],"services":[6],"raises":[7],"the":[8,15,19,25,34,48,74,94,98,103,109,112,121,128,138,153,160,173,176,184,195,200,210],"question":[9],"how":[11],"one":[12,124,164],"can":[13,115],"delegate":[14],"processing":[16],"tasks":[17],"to":[18,58,84,127,199],"untrusted":[20],"distributed":[21,40],"parties":[22],"without":[23],"breeching":[24],"privacy":[26,36],"its":[28],"data":[29],"and":[30,146,207,216],"algorithms.":[31],"Motivated":[32],"by":[33],"algorithm":[35],"concerns":[37],"in":[38,43,209],"a":[39,55,61,86,147],"system,":[42],"this":[44,158],"paper,":[45],"we":[46,101,193],"introduce":[47],"private":[49,188],"function":[50,63,75,149],"retrieval":[51,190],"(PFR)":[52],"problem,":[53],"where":[54],"user":[56],"wishes":[57],"efficiently":[59],"retrieve":[60],"linear":[62,148],"$K$":[65,142,166],"messages":[66,167],"from":[67,77,168,180],"$N$":[68],"non-communicating":[69],"replicated":[70],"servers":[71,145,170,206],"while":[72,171],"keeping":[73,172],"hidden":[76,179],"each":[78,181],"individual":[79,182],"server.":[80],"goal":[82],"is":[83,120,155,159],"find":[85],"scheme":[87,198],"with":[88,141,150,213],"minimum":[89],"communication":[90,99],"cost.":[91],"To":[92],"characterize":[93],"fundamental":[95],"limits":[96],"cost,":[100],"define":[102],"capacity":[104,154,161],"PFR":[106,139],"problem":[107,140,185],"as":[108,187],"size":[110,122],"message":[113,178],"that":[114,136],"be":[116],"privately":[117],"retrieved":[118],"(which":[119],"file)":[125],"normalized":[126],"required":[129],"downloaded":[130],"information":[131,189],"bits.":[132],"We":[133],"first":[134],"show":[135],"for":[137],"messages,":[143],"$N=2$":[144,169],"binary":[151],"coefficients":[152,208],"$C=\\frac{1}{2}\\Big(1-\\frac{1}{2^K}\\Big)^{-1}$.":[156],"Interestingly,":[157],"retrieving":[163],"index":[174],"requested":[177],"server,":[183],"known":[186],"(PIR).":[191],"Then,":[192],"extend":[194],"proposed":[196],"achievable":[197],"case":[201],"arbitrary":[203,214],"number":[204],"field":[211],"$GF(q)$":[212],"$q$":[215],"obtain":[217],"$R=\\Big(1-\\frac{1}{N}\\Big)\\Big(1+\\frac{\\frac{1}{N-1}}{(\\frac{q^K-1}{q-1})^{N-1}}\\Big)$.":[218]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":2}],"updated_date":"2026-02-09T09:26:11.010843","created_date":"2025-10-10T00:00:00"}