{"id":"https://openalex.org/W2296539003","doi":"https://doi.org/10.1109/tifs.2015.2476783","title":"Unconditionally Secure, Universally Composable Privacy Preserving Linear Algebra","display_name":"Unconditionally Secure, Universally Composable Privacy Preserving Linear Algebra","publication_year":2015,"publication_date":"2015-09-03","ids":{"openalex":"https://openalex.org/W2296539003","doi":"https://doi.org/10.1109/tifs.2015.2476783","mag":"2296539003"},"language":"en","primary_location":{"id":"doi:10.1109/tifs.2015.2476783","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tifs.2015.2476783","pdf_url":null,"source":{"id":"https://openalex.org/S61310614","display_name":"IEEE Transactions on Information Forensics and Security","issn_l":"1556-6013","issn":["1556-6013","1556-6021"],"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 Forensics and Security","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/A5060580234","display_name":"Bernardo David","orcid":"https://orcid.org/0000-0002-1872-7799"},"institutions":[{"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"],"is_corresponding":true,"raw_author_name":"Bernardo David","raw_affiliation_strings":["Department of Computer Science, Aarhus University, Aarhus, Denmark"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Aarhus University, Aarhus, Denmark","institution_ids":["https://openalex.org/I204337017"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014034048","display_name":"Rafael Dowsley","orcid":"https://orcid.org/0000-0002-7588-2410"},"institutions":[{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Rafael Dowsley","raw_affiliation_strings":["Institute of Theoretical Informatics, Karlsruhe Institute of Technology, Karlsruhe, Germany"],"affiliations":[{"raw_affiliation_string":"Institute of Theoretical Informatics, Karlsruhe Institute of Technology, Karlsruhe, Germany","institution_ids":["https://openalex.org/I102335020"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109801373","display_name":"Jeroen van de Graaf","orcid":"https://orcid.org/0000-0001-7048-6585"},"institutions":[{"id":"https://openalex.org/I110200422","display_name":"Universidade Federal de Minas Gerais","ror":"https://ror.org/0176yjw32","country_code":"BR","type":"education","lineage":["https://openalex.org/I110200422"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Jeroen van de Graaf","raw_affiliation_strings":["Department of Computer Science, Federal University of Minas Gerais, Belo Horizonte, Brazil"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Federal University of Minas Gerais, Belo Horizonte, Brazil","institution_ids":["https://openalex.org/I110200422"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083948810","display_name":"Davidson Marques","orcid":null},"institutions":[{"id":"https://openalex.org/I110200422","display_name":"Universidade Federal de Minas Gerais","ror":"https://ror.org/0176yjw32","country_code":"BR","type":"education","lineage":["https://openalex.org/I110200422"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Davidson Marques","raw_affiliation_strings":["Department of Computer Science, Federal University of Minas Gerais, Belo Horizonte, Brazil"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Federal University of Minas Gerais, Belo Horizonte, Brazil","institution_ids":["https://openalex.org/I110200422"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070505291","display_name":"Anderson C. A. Nascimento","orcid":"https://orcid.org/0000-0002-8298-6250"},"institutions":[{"id":"https://openalex.org/I4210150356","display_name":"University of Washington Tacoma","ror":"https://ror.org/05n8t2628","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701","https://openalex.org/I4210150356"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Anderson C. A. Nascimento","raw_affiliation_strings":["Institute of Technology, University of Washington\u2013Tacoma, Tacoma, WA, USA"],"affiliations":[{"raw_affiliation_string":"Institute of Technology, University of Washington\u2013Tacoma, Tacoma, WA, USA","institution_ids":["https://openalex.org/I4210150356"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013606928","display_name":"Adriana C. B. Pinto","orcid":null},"institutions":[{"id":"https://openalex.org/I150729083","display_name":"Universidade de Bras\u00edlia","ror":"https://ror.org/02xfp8v59","country_code":"BR","type":"education","lineage":["https://openalex.org/I150729083"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Adriana C. B. Pinto","raw_affiliation_strings":["Department of Electrical Engineering, University of Bras\u00edlia, Bras\u00edlia, Brazil"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of Bras\u00edlia, Bras\u00edlia, Brazil","institution_ids":["https://openalex.org/I150729083"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5060580234"],"corresponding_institution_ids":["https://openalex.org/I204337017"],"apc_list":null,"apc_paid":null,"fwci":3.1265,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.93163315,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"11","issue":"1","first_page":"59","last_page":"73"},"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/T10764","display_name":"Privacy-Preserving Technologies in Data","score":0.9984999895095825,"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/T11614","display_name":"Cloud Data Security Solutions","score":0.9951000213623047,"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/computer-science","display_name":"Computer science","score":0.8107895851135254},{"id":"https://openalex.org/keywords/composability","display_name":"Composability","score":0.7952771782875061},{"id":"https://openalex.org/keywords/protocol","display_name":"Protocol (science)","score":0.6237701773643494},{"id":"https://openalex.org/keywords/universal-composability","display_name":"Universal composability","score":0.5985947847366333},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.5436571836471558},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.5139176845550537},{"id":"https://openalex.org/keywords/linear-algebra","display_name":"Linear algebra","score":0.5078478455543518},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.49181440472602844},{"id":"https://openalex.org/keywords/cryptographic-protocol","display_name":"Cryptographic protocol","score":0.4358234405517578},{"id":"https://openalex.org/keywords/private-information-retrieval","display_name":"Private information retrieval","score":0.43280094861984253},{"id":"https://openalex.org/keywords/information-privacy","display_name":"Information privacy","score":0.4210726320743561},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.40366601943969727},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.31000614166259766},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.2712247669696808},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1348576843738556}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8107895851135254},{"id":"https://openalex.org/C2778814252","wikidata":"https://www.wikidata.org/wiki/Q5156715","display_name":"Composability","level":2,"score":0.7952771782875061},{"id":"https://openalex.org/C2780385302","wikidata":"https://www.wikidata.org/wiki/Q367158","display_name":"Protocol (science)","level":3,"score":0.6237701773643494},{"id":"https://openalex.org/C165751822","wikidata":"https://www.wikidata.org/wiki/Q7894118","display_name":"Universal composability","level":4,"score":0.5985947847366333},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.5436571836471558},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.5139176845550537},{"id":"https://openalex.org/C139352143","wikidata":"https://www.wikidata.org/wiki/Q82571","display_name":"Linear algebra","level":2,"score":0.5078478455543518},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.49181440472602844},{"id":"https://openalex.org/C33884865","wikidata":"https://www.wikidata.org/wiki/Q1254335","display_name":"Cryptographic protocol","level":3,"score":0.4358234405517578},{"id":"https://openalex.org/C99221444","wikidata":"https://www.wikidata.org/wiki/Q1532069","display_name":"Private information retrieval","level":2,"score":0.43280094861984253},{"id":"https://openalex.org/C123201435","wikidata":"https://www.wikidata.org/wiki/Q456632","display_name":"Information privacy","level":2,"score":0.4210726320743561},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.40366601943969727},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.31000614166259766},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.2712247669696808},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1348576843738556},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C142724271","wikidata":"https://www.wikidata.org/wiki/Q7208","display_name":"Pathology","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C204787440","wikidata":"https://www.wikidata.org/wiki/Q188504","display_name":"Alternative medicine","level":2,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tifs.2015.2476783","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tifs.2015.2476783","pdf_url":null,"source":{"id":"https://openalex.org/S61310614","display_name":"IEEE Transactions on Information Forensics and Security","issn_l":"1556-6013","issn":["1556-6013","1556-6021"],"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 Forensics and Security","raw_type":"journal-article"},{"id":"pmh:oai:digitalcommons.tacoma.uw.edu:tech_pub-1038","is_oa":false,"landing_page_url":"https://digitalcommons.tacoma.uw.edu/tech_pub/39","pdf_url":null,"source":{"id":"https://openalex.org/S4306400628","display_name":"University of Washington Tacoma Digital Commons (University of Washington Tacoma)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210150356","host_organization_name":"University of Washington Tacoma","host_organization_lineage":["https://openalex.org/I4210150356"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"School of Engineering and Technology Publications","raw_type":"text"},{"id":"pmh:oai:pure.atira.dk:publications/e710529e-e2e7-4d3f-ac26-fca717756bf3","is_oa":false,"landing_page_url":"https://pure.au.dk/portal/en/publications/e710529e-e2e7-4d3f-ac26-fca717756bf3","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"David, B M, Dowsley, R, van der Graaf, J, Marques, D, Nascimento, A C A & Pinto, A 2015, 'Unconditionally Secure, Universally Composable Privacy Preserving Linear Algebra', I E E E Transactions on Information Forensics and Security, vol. 11, no. 1, pp. 59 - 73 . https://doi.org/10.1109/TIFS.2015.2476783","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.7699999809265137,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320320943","display_name":"Danmarks Grundforskningsfond","ror":"https://ror.org/00znyv691"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":86,"referenced_works":["https://openalex.org/W4053786","https://openalex.org/W20180677","https://openalex.org/W25045116","https://openalex.org/W59079490","https://openalex.org/W121345474","https://openalex.org/W171045015","https://openalex.org/W258132320","https://openalex.org/W1170857557","https://openalex.org/W1485800369","https://openalex.org/W1492842426","https://openalex.org/W1494774797","https://openalex.org/W1499934958","https://openalex.org/W1502935422","https://openalex.org/W1505629034","https://openalex.org/W1515874337","https://openalex.org/W1524288918","https://openalex.org/W1528227909","https://openalex.org/W1537539847","https://openalex.org/W1541197910","https://openalex.org/W1542455165","https://openalex.org/W1552897331","https://openalex.org/W1555685761","https://openalex.org/W1564294713","https://openalex.org/W1570143742","https://openalex.org/W1581629951","https://openalex.org/W1601458649","https://openalex.org/W1601879746","https://openalex.org/W1635361314","https://openalex.org/W1864248001","https://openalex.org/W1867273832","https://openalex.org/W1871114411","https://openalex.org/W1888768993","https://openalex.org/W1969009977","https://openalex.org/W1973137277","https://openalex.org/W1986672069","https://openalex.org/W2001084165","https://openalex.org/W2010317729","https://openalex.org/W2010989618","https://openalex.org/W2016443801","https://openalex.org/W2027471022","https://openalex.org/W2047167450","https://openalex.org/W2061802713","https://openalex.org/W2084998937","https://openalex.org/W2097475480","https://openalex.org/W2113085788","https://openalex.org/W2117333593","https://openalex.org/W2118747942","https://openalex.org/W2120202298","https://openalex.org/W2121423622","https://openalex.org/W2126531634","https://openalex.org/W2130901615","https://openalex.org/W2132172731","https://openalex.org/W2157314106","https://openalex.org/W2159493100","https://openalex.org/W2160502124","https://openalex.org/W2161787064","https://openalex.org/W2167236842","https://openalex.org/W2204895368","https://openalex.org/W2246792095","https://openalex.org/W2402235285","https://openalex.org/W2612731403","https://openalex.org/W2990399857","https://openalex.org/W3030551544","https://openalex.org/W3031137861","https://openalex.org/W3097341007","https://openalex.org/W3141585064","https://openalex.org/W3185365968","https://openalex.org/W4206744556","https://openalex.org/W6600176700","https://openalex.org/W6601028053","https://openalex.org/W6602394839","https://openalex.org/W6609601683","https://openalex.org/W6628945002","https://openalex.org/W6629563985","https://openalex.org/W6630306774","https://openalex.org/W6630385351","https://openalex.org/W6632564168","https://openalex.org/W6633238320","https://openalex.org/W6639070673","https://openalex.org/W6639200140","https://openalex.org/W6652963586","https://openalex.org/W6683515515","https://openalex.org/W6684501058","https://openalex.org/W6737699528","https://openalex.org/W6784738014","https://openalex.org/W6799197622"],"related_works":["https://openalex.org/W2980469592","https://openalex.org/W2157779300","https://openalex.org/W3103758520","https://openalex.org/W2417281775","https://openalex.org/W3028615692","https://openalex.org/W2401332089","https://openalex.org/W2125039431","https://openalex.org/W3034345956","https://openalex.org/W1482400347","https://openalex.org/W3029681083"],"abstract_inverted_index":{"Linear":[0],"algebra":[1],"operations":[2],"on":[3],"private":[4],"distributed":[5],"data":[6],"are":[7,37,46,93],"frequently":[8],"required":[9],"in":[10,74,87],"several":[11],"practical":[12],"scenarios":[13],"(e.g.,":[14],"statistical":[15],"analysis":[16],"and":[17,33,102],"privacy":[18,66],"preserving":[19,64],"databases).":[20],"We":[21],"present":[22],"universally":[23],"composable":[24],"two-party":[25,41],"protocols":[26,36,55,92],"to":[27],"compute":[28],"inner":[29],"products,":[30],"determinants,":[31],"eigenvalues,":[32],"eigenvectors.":[34],"These":[35],"built":[38],"for":[39],"a":[40],"scenario":[42],"where":[43],"the":[44,54,57,60,65,75],"inputs":[45],"provided":[47],"by":[48],"mutually":[49],"distrustful":[50],"parties.":[51],"After":[52],"execution,":[53],"yield":[56],"results":[58],"of":[59,67],"intended":[61],"operation":[62],"while":[63],"their":[68],"inputs.":[69],"Universal":[70],"composability":[71],"is":[72],"obtained":[73],"trusted":[76],"initializer":[77],"model,":[78],"ensuring":[79],"information":[80],"theoretical":[81],"security":[82],"under":[83],"arbitrary":[84],"protocol":[85],"composition":[86],"complex":[88],"environments.":[89],"Furthermore,":[90],"our":[91],"computationally":[94],"efficient":[95],"since":[96],"they":[97],"only":[98],"require":[99],"field":[100],"multiplication":[101],"addition":[103],"operations.":[104]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2}],"updated_date":"2026-03-21T08:13:44.787528","created_date":"2025-10-10T00:00:00"}
