{"id":"https://openalex.org/W3197278013","doi":"https://doi.org/10.1109/isit45174.2021.9517825","title":"Improved Private and Secure Distributed Matrix Multiplication","display_name":"Improved Private and Secure Distributed Matrix Multiplication","publication_year":2021,"publication_date":"2021-07-12","ids":{"openalex":"https://openalex.org/W3197278013","doi":"https://doi.org/10.1109/isit45174.2021.9517825","mag":"3197278013"},"language":"en","primary_location":{"id":"doi:10.1109/isit45174.2021.9517825","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit45174.2021.9517825","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://research.aalto.fi/en/publications/8841c4e3-4627-426d-ad82-4a26aec519c6","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100660543","display_name":"Jie Li","orcid":"https://orcid.org/0000-0002-7582-7630"},"institutions":[{"id":"https://openalex.org/I9927081","display_name":"Aalto University","ror":"https://ror.org/020hwjq30","country_code":"FI","type":"education","lineage":["https://openalex.org/I9927081"]}],"countries":["FI"],"is_corresponding":true,"raw_author_name":"Jie Li","raw_affiliation_strings":["Aalto University,Department of Mathematics and Systems Analysis,Aalto,Finland,FI-00076","Department of Mathematics and Systems Analysis, Aalto University, Aalto, Finland"],"affiliations":[{"raw_affiliation_string":"Aalto University,Department of Mathematics and Systems Analysis,Aalto,Finland,FI-00076","institution_ids":["https://openalex.org/I9927081"]},{"raw_affiliation_string":"Department of Mathematics and Systems Analysis, Aalto University, Aalto, Finland","institution_ids":["https://openalex.org/I9927081"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035260653","display_name":"Camilla Hollanti","orcid":"https://orcid.org/0000-0001-5356-8669"},"institutions":[{"id":"https://openalex.org/I9927081","display_name":"Aalto University","ror":"https://ror.org/020hwjq30","country_code":"FI","type":"education","lineage":["https://openalex.org/I9927081"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Camilla Hollanti","raw_affiliation_strings":["Aalto University,Department of Mathematics and Systems Analysis,Aalto,Finland,FI-00076","Department of Mathematics and Systems Analysis, Aalto University, Aalto, Finland"],"affiliations":[{"raw_affiliation_string":"Aalto University,Department of Mathematics and Systems Analysis,Aalto,Finland,FI-00076","institution_ids":["https://openalex.org/I9927081"]},{"raw_affiliation_string":"Department of Mathematics and Systems Analysis, Aalto University, Aalto, Finland","institution_ids":["https://openalex.org/I9927081"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100660543"],"corresponding_institution_ids":["https://openalex.org/I9927081"],"apc_list":null,"apc_paid":null,"fwci":0.5631,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.73600174,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1859","last_page":"1864"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data Security","score":0.9995999932289124,"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":0.9995999932289124,"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/T11716","display_name":"Random Matrices and Applications","score":0.9962000250816345,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9948999881744385,"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/computer-science","display_name":"Computer science","score":0.5350301265716553},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4521307647228241},{"id":"https://openalex.org/keywords/server","display_name":"Server","score":0.44119566679000854},{"id":"https://openalex.org/keywords/information-retrieval","display_name":"Information retrieval","score":0.40112000703811646},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3479727506637573},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3397938013076782},{"id":"https://openalex.org/keywords/world-wide-web","display_name":"World Wide Web","score":0.33739179372787476},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.07060161232948303}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5350301265716553},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4521307647228241},{"id":"https://openalex.org/C93996380","wikidata":"https://www.wikidata.org/wiki/Q44127","display_name":"Server","level":2,"score":0.44119566679000854},{"id":"https://openalex.org/C23123220","wikidata":"https://www.wikidata.org/wiki/Q816826","display_name":"Information retrieval","level":1,"score":0.40112000703811646},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3479727506637573},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3397938013076782},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.33739179372787476},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.07060161232948303},{"id":"https://openalex.org/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/isit45174.2021.9517825","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit45174.2021.9517825","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},{"id":"pmh:oai:aaltodoc.aalto.fi:123456789/112764","is_oa":true,"landing_page_url":"https://research.aalto.fi/en/publications/8841c4e3-4627-426d-ad82-4a26aec519c6","pdf_url":null,"source":{"id":"https://openalex.org/S4306401662","display_name":"Aaltodoc (Aalto University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I9927081","host_organization_name":"Aalto University","host_organization_lineage":["https://openalex.org/I9927081"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"acceptedVersion"}],"best_oa_location":{"id":"pmh:oai:aaltodoc.aalto.fi:123456789/112764","is_oa":true,"landing_page_url":"https://research.aalto.fi/en/publications/8841c4e3-4627-426d-ad82-4a26aec519c6","pdf_url":null,"source":{"id":"https://openalex.org/S4306401662","display_name":"Aaltodoc (Aalto University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I9927081","host_organization_name":"Aalto University","host_organization_lineage":["https://openalex.org/I9927081"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"acceptedVersion"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3512615739","display_name":null,"funder_award_id":"318937,336005","funder_id":"https://openalex.org/F4320321108","funder_display_name":"Academy of Finland"}],"funders":[{"id":"https://openalex.org/F4320321108","display_name":"Academy of Finland","ror":"https://ror.org/05k73zm37"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":55,"referenced_works":["https://openalex.org/W1561337879","https://openalex.org/W2004948173","https://openalex.org/W2019865138","https://openalex.org/W2035476608","https://openalex.org/W2150307013","https://openalex.org/W2260085643","https://openalex.org/W2268702383","https://openalex.org/W2408635465","https://openalex.org/W2599749253","https://openalex.org/W2738523341","https://openalex.org/W2768218911","https://openalex.org/W2773287740","https://openalex.org/W2784935051","https://openalex.org/W2805477827","https://openalex.org/W2806273311","https://openalex.org/W2808580034","https://openalex.org/W2888580722","https://openalex.org/W2902687529","https://openalex.org/W2906543194","https://openalex.org/W2919422837","https://openalex.org/W2929607020","https://openalex.org/W2947730823","https://openalex.org/W2962692592","https://openalex.org/W2962850796","https://openalex.org/W2963256807","https://openalex.org/W2963413537","https://openalex.org/W2963498933","https://openalex.org/W2963531643","https://openalex.org/W2970151185","https://openalex.org/W2975722824","https://openalex.org/W2990480289","https://openalex.org/W3005122631","https://openalex.org/W3006386891","https://openalex.org/W3006830222","https://openalex.org/W3006994039","https://openalex.org/W3007714448","https://openalex.org/W3012082352","https://openalex.org/W3018239957","https://openalex.org/W3046264682","https://openalex.org/W3047848333","https://openalex.org/W3080407940","https://openalex.org/W3094181305","https://openalex.org/W3098226281","https://openalex.org/W3100515187","https://openalex.org/W3103649678","https://openalex.org/W3105025471","https://openalex.org/W3105958450","https://openalex.org/W3111680765","https://openalex.org/W3135626763","https://openalex.org/W4287781070","https://openalex.org/W4288402686","https://openalex.org/W6738835244","https://openalex.org/W6752557422","https://openalex.org/W6773529508","https://openalex.org/W6784749116"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2051487156","https://openalex.org/W2092530219","https://openalex.org/W2388464034","https://openalex.org/W2533125852","https://openalex.org/W2140460949","https://openalex.org/W2073681303","https://openalex.org/W2105580438","https://openalex.org/W2057435755","https://openalex.org/W3121798572"],"abstract_inverted_index":{"Consider":[0],"the":[1,39,58,64,68,75,105,151],"problem":[2,78],"of":[3,22,57,99],"a":[4,7,20,112,125,135,146],"user":[5,40],"having":[6],"private":[8,73,82,115],"matrix":[9,59,86,119],"<tex":[10,14,23,31,44,49,60,70],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[11,15,24,32,45,50,61,71],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$A$</tex>":[12,62],"and":[13,66,83,89,116,139,153],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$N$</tex>":[16],"non-colluding":[17],"servers":[18],"sharing":[19],"library":[21],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$L":[25],"(L":[26],"&gt;":[27],"\\":[28],"1)$</tex>":[29],"matrices":[30],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$B^{(0)},":[33],"B^{(1)},\\ldots,":[34],"B^{(L-1)}$</tex>":[35],",":[36],"for":[37,47],"which":[38,123],"wishes":[41],"to":[42,63,74,92],"compute":[43],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$AB^{(\\theta)}$</tex>":[46],"some":[48],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$\\theta\\in[0,":[51],"L)$</tex>":[52],"without":[53],"revealing":[54],"any":[55],"information":[56],"servers,":[65],"keeping":[67],"index":[69],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$\\theta$</tex>":[72],"servers.":[76],"This":[77],"is":[79,90],"known":[80],"as":[81,142,144],"secure":[84,117],"distributed":[85,118],"multiplication":[87,120],"(PSDMM)":[88],"supposed":[91],"have":[93],"wide":[94],"application":[95],"potential.":[96],"However,":[97],"studies":[98],"PSDMM":[100],"are":[101],"still":[102],"scarce":[103],"in":[104,131],"literature.":[106],"In":[107],"this":[108],"paper,":[109],"we":[110],"propose":[111],"new":[113],"efficient":[114],"coding":[121],"scheme,":[122],"has":[124],"better":[126],"performance":[127],"than":[128],"state-of-the-art":[129],"schemes":[130],"that":[132],"it":[133],"achieves":[134],"smaller":[136],"recovery":[137],"threshold":[138],"download":[140,154],"cost":[141],"well":[143],"providing":[145],"more":[147],"flexible":[148],"tradeoff":[149],"between":[150],"upload":[152],"costs.":[155]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-04-01T17:29:45.350535","created_date":"2025-10-10T00:00:00"}
