{"id":"https://openalex.org/W2799757550","doi":"https://doi.org/10.1109/tit.2020.3023016","title":"The Capacity of Private Information Retrieval From Uncoded Storage Constrained Databases","display_name":"The Capacity of Private Information Retrieval From Uncoded Storage Constrained Databases","publication_year":2020,"publication_date":"2020-09-09","ids":{"openalex":"https://openalex.org/W2799757550","doi":"https://doi.org/10.1109/tit.2020.3023016","mag":"2799757550"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2020.3023016","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2020.3023016","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1805.04104","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102965961","display_name":"Mohamed Adel Attia","orcid":"https://orcid.org/0000-0002-8226-9470"},"institutions":[{"id":"https://openalex.org/I138006243","display_name":"University of Arizona","ror":"https://ror.org/03m2x1q45","country_code":"US","type":"education","lineage":["https://openalex.org/I138006243"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mohamed Adel Attia","raw_affiliation_strings":["The University of Arizona, Tucson, AZ, USA","Dept. of Electrical and Computer Engineering, The University of Arizona, Tucson, AZ, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The University of Arizona, Tucson, AZ, USA","institution_ids":["https://openalex.org/I138006243"]},{"raw_affiliation_string":"Dept. of Electrical and Computer Engineering, The University of Arizona, Tucson, AZ, USA","institution_ids":["https://openalex.org/I138006243"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075915146","display_name":"Deepak Kumar","orcid":"https://orcid.org/0000-0002-0224-5031"},"institutions":[{"id":"https://openalex.org/I135458274","display_name":"Citigroup","ror":"https://ror.org/032xgdx47","country_code":"US","type":"other","lineage":["https://openalex.org/I135458274"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Deepak Kumar","raw_affiliation_strings":["Citi Bank, Irving, TX, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Citi Bank, Irving, TX, USA","institution_ids":["https://openalex.org/I135458274"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004316408","display_name":"Ravi Tandon","orcid":"https://orcid.org/0000-0002-6182-6098"},"institutions":[{"id":"https://openalex.org/I138006243","display_name":"University of Arizona","ror":"https://ror.org/03m2x1q45","country_code":"US","type":"education","lineage":["https://openalex.org/I138006243"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ravi Tandon","raw_affiliation_strings":["The University of Arizona, Tucson, AZ, USA","Dept. of Electrical and Computer Engineering, The University of Arizona, Tucson, AZ, USA"],"raw_orcid":"https://orcid.org/0000-0002-6182-6098","affiliations":[{"raw_affiliation_string":"The University of Arizona, Tucson, AZ, USA","institution_ids":["https://openalex.org/I138006243"]},{"raw_affiliation_string":"Dept. of Electrical and Computer Engineering, The University of Arizona, Tucson, AZ, USA","institution_ids":["https://openalex.org/I138006243"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2045,"currency":"USD","value_usd":2045},"apc_paid":null,"fwci":2.7013,"has_fulltext":false,"cited_by_count":38,"citation_normalized_percentile":{"value":0.91706895,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":93,"max":100},"biblio":{"volume":"66","issue":"11","first_page":"6617","last_page":"6634"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data Security","score":0.9998000264167786,"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":0.9998000264167786,"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/T12288","display_name":"Optimization and Search Problems","score":0.9969000220298767,"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/T10764","display_name":"Privacy-Preserving Technologies in Data","score":0.9962000250816345,"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/download","display_name":"Download","score":0.6602016687393188},{"id":"https://openalex.org/keywords/convex-hull","display_name":"Convex hull","score":0.6388227343559265},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5968960523605347},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5364888906478882},{"id":"https://openalex.org/keywords/database","display_name":"Database","score":0.4735673666000366},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.470213919878006},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4674464464187622},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4130951464176178},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3891080617904663},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33091574907302856},{"id":"https://openalex.org/keywords/information-retrieval","display_name":"Information retrieval","score":0.32309994101524353},{"id":"https://openalex.org/keywords/world-wide-web","display_name":"World Wide Web","score":0.16369789838790894},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12682104110717773},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.11585956811904907},{"id":"https://openalex.org/keywords/business","display_name":"Business","score":0.08007591962814331}],"concepts":[{"id":"https://openalex.org/C2780154274","wikidata":"https://www.wikidata.org/wiki/Q7126717","display_name":"Download","level":2,"score":0.6602016687393188},{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.6388227343559265},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5968960523605347},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5364888906478882},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.4735673666000366},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.470213919878006},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4674464464187622},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4130951464176178},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3891080617904663},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33091574907302856},{"id":"https://openalex.org/C23123220","wikidata":"https://www.wikidata.org/wiki/Q816826","display_name":"Information retrieval","level":1,"score":0.32309994101524353},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.16369789838790894},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12682104110717773},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.11585956811904907},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.08007591962814331},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/tit.2020.3023016","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2020.3023016","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1805.04104","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1805.04104","pdf_url":"https://arxiv.org/pdf/1805.04104","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":null,"raw_type":"text"},{"id":"mag:2799757550","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1805.04104.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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.1805.04104","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1805.04104","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1805.04104","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1805.04104","pdf_url":"https://arxiv.org/pdf/1805.04104","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5248879451","display_name":"CAREER: Communication- Efficient Distributed Computation: Information- Theoretic Foundations and Algorithms","funder_award_id":"CAREER 16-51492","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8922855154","display_name":"SaTC: CORE: Small: Robust Physical Layer Security with Channel Knowledge Uncertainty","funder_award_id":"1715947","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W171567834","https://openalex.org/W1822223425","https://openalex.org/W1962818100","https://openalex.org/W1990395546","https://openalex.org/W2001766583","https://openalex.org/W2007725949","https://openalex.org/W2106248279","https://openalex.org/W2147929033","https://openalex.org/W2150307013","https://openalex.org/W2236240782","https://openalex.org/W2242452602","https://openalex.org/W2260085643","https://openalex.org/W2472075427","https://openalex.org/W2536862651","https://openalex.org/W2549939309","https://openalex.org/W2593599278","https://openalex.org/W2599749253","https://openalex.org/W2671962986","https://openalex.org/W2752936485","https://openalex.org/W2763892133","https://openalex.org/W2768218911","https://openalex.org/W2768296645","https://openalex.org/W2774968492","https://openalex.org/W2781919193","https://openalex.org/W2783973003","https://openalex.org/W2784100162","https://openalex.org/W2885836992","https://openalex.org/W2886151725","https://openalex.org/W2886411684","https://openalex.org/W2887560751","https://openalex.org/W2962692592","https://openalex.org/W2963246398","https://openalex.org/W2963413537","https://openalex.org/W2963547297","https://openalex.org/W2963778357","https://openalex.org/W2963898134","https://openalex.org/W2964193197","https://openalex.org/W2964220651","https://openalex.org/W2965859926","https://openalex.org/W2982008584","https://openalex.org/W2990381109","https://openalex.org/W2999760042","https://openalex.org/W3007542335","https://openalex.org/W3010011586","https://openalex.org/W6606989391","https://openalex.org/W6689458619","https://openalex.org/W6745711271"],"related_works":["https://openalex.org/W2599749253","https://openalex.org/W2962692592","https://openalex.org/W2768218911","https://openalex.org/W2531251918","https://openalex.org/W2963413537","https://openalex.org/W2808769206","https://openalex.org/W2593599278","https://openalex.org/W2073346043","https://openalex.org/W2549939309","https://openalex.org/W2963898134","https://openalex.org/W2774968492","https://openalex.org/W2963246398","https://openalex.org/W3100195636","https://openalex.org/W2007725949","https://openalex.org/W3105958450","https://openalex.org/W2963778357","https://openalex.org/W2961382438","https://openalex.org/W3007542335","https://openalex.org/W2798592476","https://openalex.org/W2584331985"],"abstract_inverted_index":{"Private":[0],"information":[1],"retrieval":[2],"(PIR)":[3],"allows":[4,221],"a":[5,9,13,74,153,183,195,229],"user":[6],"to":[7,106,223,238],"retrieve":[8],"desired":[10,23],"message":[11,87],"from":[12,66,114],"set":[14],"of":[15,21,34,64,77,85,102,112,163,250],"databases":[16,31,118],"without":[17],"revealing":[18],"the":[19,22,35,45,62,83,96,108,125,140,148,159,164,200,225,236,244,254],"identity":[20],"message.":[24],"The":[25,99,213],"replicated":[26],"database":[27,72],"scenario,":[28],"where":[29,80],"N":[30,165],"store":[32],"each":[33,86],"K":[36],"messages":[37],"was":[38,49],"considered":[39],"by":[40,158],"Sun":[41],"and":[42,44,90,147],"Jafar,":[43],"optimal":[46,141],"download":[47,110,149,201,245],"cost":[48,111,202,246],"characterized":[50],"as":[51,228],"(1+":[52],"1/N+1/N2+":[53],"\u22ef":[54,172],"+":[55,168,170,173],"1/NK-1).":[56],"In":[57,131],"this":[58,103,178],"work,":[59],"we":[60,137,180,193,234],"consider":[61],"problem":[63],"PIR":[65,113,186,258],"uncoded":[67,115,214],"storage":[68,75,116,184,211,215,256],"constrained":[69,117,185,257],"databases.":[70],"Each":[71],"has":[73],"capacity":[76],"\u03bcKL":[78],"bits,":[79,89],"L":[81],"is":[82,95,105,152,206,217],"size":[84],"in":[88,124],"\u03bc":[91,127],"\u2208":[92,128],"[1/N,":[93,129],"1]":[94],"normalized":[97,144],"storage.":[98],"novel":[100],"aspect":[101],"work":[104],"characterize":[107],"optimum":[109],"for":[119,133,188,203,208,247],"any":[120,134,189,209],"\u201cnormalized":[121],"storage\u201d":[122],"value":[123],"range":[126],"1].":[130],"particular,":[132],"(N,":[135,190],"K),":[136],"show":[138],"that":[139],"trade-off":[142],"between":[143],"storage,":[145,251],"\u03bc,":[146],"cost,":[150],"D(\u03bc),":[151],"piece-wise":[154],"linear":[155,230],"function":[156],"given":[157],"lower":[160,197,226,241],"convex":[161],"hull":[162],"pairs":[166],"(t/N,(1":[167],"1/t":[169],"1/t2+":[171],"1/tK-1))for":[174],"t=1,2,...,N.":[175],"To":[176],"prove":[177],"result,":[179],"first":[181],"present":[182],"scheme":[187],"K).":[191],"Next,":[192],"obtain":[194,239],"general":[196],"bound":[198,227],"on":[199,243],"PIR,":[204],"which":[205,220,252],"valid":[207],"arbitrary":[210],"architecture.":[212],"assumption":[216],"then":[218],"applied":[219],"us":[222],"express":[224],"program":[231],"(LP).":[232],"Finally,":[233],"solve":[235],"LP":[237],"tight":[240],"bounds":[242],"different":[248],"regimes":[249],"match":[253],"proposed":[255],"scheme.":[259]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":11},{"year":2019,"cited_by_count":16},{"year":2018,"cited_by_count":3}],"updated_date":"2026-08-28T12:50:07.497085","created_date":"2025-10-10T00:00:00"}