{"id":"https://openalex.org/W2048659729","doi":"https://doi.org/10.1137/06065773x","title":"A Geometric Approach to Information-Theoretic Private Information Retrieval","display_name":"A Geometric Approach to Information-Theoretic Private Information Retrieval","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2048659729","doi":"https://doi.org/10.1137/06065773x","mag":"2048659729"},"language":"en","primary_location":{"id":"doi:10.1137/06065773x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/06065773x","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/A5102861589","display_name":"David P. Woodruff","orcid":"https://orcid.org/0000-0002-2158-1380"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"David Woodruff","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5046685409","display_name":"Sergey Yekhanin","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sergey Yekhanin","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5102861589"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.2241,"has_fulltext":false,"cited_by_count":43,"citation_normalized_percentile":{"value":0.94052494,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"37","issue":"4","first_page":"1046","last_page":"1056"},"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":0.9987000226974487,"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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9919999837875366,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/server","display_name":"Server","score":0.6500644683837891},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46214020252227783},{"id":"https://openalex.org/keywords/communication-complexity","display_name":"Communication complexity","score":0.4598897099494934},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.4516654312610626},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.44825243949890137},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4453848898410797},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4432713985443115},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.42090851068496704},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36593782901763916},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3341693878173828},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.24334925413131714}],"concepts":[{"id":"https://openalex.org/C93996380","wikidata":"https://www.wikidata.org/wiki/Q44127","display_name":"Server","level":2,"score":0.6500644683837891},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46214020252227783},{"id":"https://openalex.org/C179145077","wikidata":"https://www.wikidata.org/wiki/Q5154130","display_name":"Communication complexity","level":2,"score":0.4598897099494934},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.4516654312610626},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.44825243949890137},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4453848898410797},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4432713985443115},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.42090851068496704},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36593782901763916},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3341693878173828},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.24334925413131714},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/06065773x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/06065773x","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":[{"id":"https://metadata.un.org/sdg/17","score":0.41999998688697815,"display_name":"Partnerships for the goals"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W2012882416","https://openalex.org/W2036836470","https://openalex.org/W2059123783","https://openalex.org/W2073346043","https://openalex.org/W2120217745","https://openalex.org/W2141420453"],"related_works":["https://openalex.org/W1978042415","https://openalex.org/W4364377380","https://openalex.org/W1583717361","https://openalex.org/W1521353230","https://openalex.org/W2118449739","https://openalex.org/W2355181481","https://openalex.org/W1596397513","https://openalex.org/W4280566261","https://openalex.org/W3001333482","https://openalex.org/W1538232392"],"abstract_inverted_index":{"A":[0,50,98],"t-private":[1,51],"private":[2],"information":[3,34],"retrieval":[4],"(PIR)":[5],"scheme":[6],"allows":[7],"a":[8,39,177],"user":[9],"to":[10,29,43],"retrieve":[11],"the":[12,47,66,86,117,164,193],"ith":[13],"bit":[14],"of":[15,27,69,77,85,92,121,163,170,180,192],"an":[16,74],"n-bit":[17],"string":[18],"x":[19],"replicated":[20],"among":[21],"k":[22,59],"servers,":[23,181],"while":[24],"any":[25,112],"coalition":[26],"up":[28],"t":[30],"servers":[31],"learns":[32],"no":[33],"about":[35],"i.":[36],"We":[37],"present":[38],"new":[40],"geometric":[41],"approach":[42],"PIR":[44,175,184],"and":[45,80,106,126,147,158,182,187],"obtain":[46],"following:":[48],"(1)":[49],"k-server":[52],"protocol":[53,100],"with":[54,101,176],"communication":[55,137],"$O":[56],"(\\frac{k^2}{t}":[57],"\\log":[58],"n^{1/\\left":[60],"\\lfloor":[61],"(2k-1)/t":[62],"\\right":[63],"\\rfloor})$,":[64],"removing":[65],"${k}{t}$":[67],"term":[68],"previous":[70],"schemes.":[71],"This":[72,115],"answers":[73],"open":[75],"question":[76],"[Y.":[78],"Ishai":[79,157],"E.":[81,159],"Kushilevitz,":[82,160],"in":[83,161,190,198,205],"Proceedings":[84,162,191],"$31$st":[87,165],"ACM":[88,166],"Symposium":[89,167],"on":[90,168,196],"Theory":[91,169],"Computing,":[93,171],"1999,":[94,172],"pp.":[95,133,154,173,212],"79\u201388].":[96],"(2)":[97],"2-server":[99],"$O(n^{1/3})$":[102],"communication,":[103],"polynomial":[104],"preprocessing,":[105],"online":[107],"work":[108,120],"$O(n/\\log^r":[109],"n)$":[110,119],"for":[111,138],"constant":[113],"r.":[114],"improves":[116],"$O(n/\\log^2":[118],"[A.":[122,185],"Beimel,":[123],"Y.":[124,156,188],"Ishai,":[125],"T.":[127],"Malkin,":[128],"J.":[129,143,145,150],"Cryptology,":[130,151],"17":[131],"(2004),":[132],"125\u2013151].":[134],"(3)":[135],"Smaller":[136],"instance":[139],"hiding":[140],"[D.":[141],"Beaver,":[142],"Feigenbaum,":[144],"Kilian,":[146],"P.":[148],"Rogaway,":[149],"10":[152],"(1997),":[153],"17\u201336;":[155],"79\u201388],":[174],"polylogarithmic":[178],"number":[179],"robust":[183],"Beimel":[186],"Stahl,":[189],"3rd":[194],"Conference":[195],"Security":[197],"Communications":[199],"Networks":[200],"(SCN":[201],"$2002$),":[202],"Lecture":[203],"Notes":[204],"Comput.":[206],"Sci.":[207],"2576,":[208],"Springer,":[209],"Berlin,":[210],"2003,":[211],"326\u2013341].":[213]},"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}