{"id":"https://openalex.org/W3125314015","doi":"https://doi.org/10.1109/jsait.2021.3052934","title":"GCSA Codes With Noise Alignment for Secure Coded Multi-Party Batch Matrix Multiplication","display_name":"GCSA Codes With Noise Alignment for Secure Coded Multi-Party Batch Matrix Multiplication","publication_year":2021,"publication_date":"2021-01-22","ids":{"openalex":"https://openalex.org/W3125314015","doi":"https://doi.org/10.1109/jsait.2021.3052934","mag":"3125314015"},"language":"en","primary_location":{"id":"doi:10.1109/jsait.2021.3052934","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jsait.2021.3052934","pdf_url":null,"source":{"id":"https://openalex.org/S4210211895","display_name":"IEEE Journal on Selected Areas in Information Theory","issn_l":"2641-8770","issn":["2641-8770"],"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 Journal on Selected Areas in Information Theory","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/A5101667215","display_name":"Zhen Chen","orcid":"https://orcid.org/0000-0001-6200-2368"},"institutions":[{"id":"https://openalex.org/I204250578","display_name":"University of California, Irvine","ror":"https://ror.org/04gyf1771","country_code":"US","type":"education","lineage":["https://openalex.org/I204250578"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zhen Chen","raw_affiliation_strings":["Center for Pervasive Communications and Computing, University of California at Irvine, Irvine, CA, USA"],"raw_orcid":"https://orcid.org/0000-0001-6200-2368","affiliations":[{"raw_affiliation_string":"Center for Pervasive Communications and Computing, University of California at Irvine, Irvine, CA, USA","institution_ids":["https://openalex.org/I204250578"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078730764","display_name":"Zhuqing Jia","orcid":"https://orcid.org/0000-0002-8329-9911"},"institutions":[{"id":"https://openalex.org/I204250578","display_name":"University of California, Irvine","ror":"https://ror.org/04gyf1771","country_code":"US","type":"education","lineage":["https://openalex.org/I204250578"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zhuqing Jia","raw_affiliation_strings":["Center for Pervasive Communications and Computing, University of California at Irvine, Irvine, CA, USA"],"raw_orcid":"https://orcid.org/0000-0002-8329-9911","affiliations":[{"raw_affiliation_string":"Center for Pervasive Communications and Computing, University of California at Irvine, Irvine, CA, USA","institution_ids":["https://openalex.org/I204250578"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047295889","display_name":"Zhiying Wang","orcid":"https://orcid.org/0000-0003-3339-3085"},"institutions":[{"id":"https://openalex.org/I204250578","display_name":"University of California, Irvine","ror":"https://ror.org/04gyf1771","country_code":"US","type":"education","lineage":["https://openalex.org/I204250578"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zhiying Wang","raw_affiliation_strings":["Center for Pervasive Communications and Computing, University of California at Irvine, Irvine, CA, USA"],"raw_orcid":"https://orcid.org/0000-0003-3339-3085","affiliations":[{"raw_affiliation_string":"Center for Pervasive Communications and Computing, University of California at Irvine, Irvine, CA, USA","institution_ids":["https://openalex.org/I204250578"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049553679","display_name":"Syed A. Jafar","orcid":"https://orcid.org/0000-0003-2038-2977"},"institutions":[{"id":"https://openalex.org/I204250578","display_name":"University of California, Irvine","ror":"https://ror.org/04gyf1771","country_code":"US","type":"education","lineage":["https://openalex.org/I204250578"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Syed Ali Jafar","raw_affiliation_strings":["Center for Pervasive Communications and Computing, University of California at Irvine, Irvine, CA, USA"],"raw_orcid":"https://orcid.org/0000-0003-2038-2977","affiliations":[{"raw_affiliation_string":"Center for Pervasive Communications and Computing, University of California at Irvine, Irvine, CA, USA","institution_ids":["https://openalex.org/I204250578"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":6.2531,"has_fulltext":false,"cited_by_count":47,"citation_normalized_percentile":{"value":0.96550459,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"2","issue":"1","first_page":"306","last_page":"316"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9990000128746033,"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"}},"topics":[{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9990000128746033,"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/T10237","display_name":"Cryptography and Data Security","score":0.9988999962806702,"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/T11181","display_name":"Advanced Data Storage Technologies","score":0.9983999729156494,"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/computer-science","display_name":"Computer science","score":0.7345761060714722},{"id":"https://openalex.org/keywords/matrix-multiplication","display_name":"Matrix multiplication","score":0.7056505680084229},{"id":"https://openalex.org/keywords/strassen-algorithm","display_name":"Strassen algorithm","score":0.6607264876365662},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.5826860666275024},{"id":"https://openalex.org/keywords/pairwise-comparison","display_name":"Pairwise comparison","score":0.527611255645752},{"id":"https://openalex.org/keywords/secret-sharing","display_name":"Secret sharing","score":0.49639827013015747},{"id":"https://openalex.org/keywords/server","display_name":"Server","score":0.49492543935775757},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4636339843273163},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.41084909439086914},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3565002679824829},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.23650330305099487},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.20384898781776428},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.13739970326423645},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.10093531012535095}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7345761060714722},{"id":"https://openalex.org/C17349429","wikidata":"https://www.wikidata.org/wiki/Q1049914","display_name":"Matrix multiplication","level":3,"score":0.7056505680084229},{"id":"https://openalex.org/C39096654","wikidata":"https://www.wikidata.org/wiki/Q728507","display_name":"Strassen algorithm","level":4,"score":0.6607264876365662},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.5826860666275024},{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.527611255645752},{"id":"https://openalex.org/C3087436","wikidata":"https://www.wikidata.org/wiki/Q1386603","display_name":"Secret sharing","level":3,"score":0.49639827013015747},{"id":"https://openalex.org/C93996380","wikidata":"https://www.wikidata.org/wiki/Q44127","display_name":"Server","level":2,"score":0.49492543935775757},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4636339843273163},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.41084909439086914},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3565002679824829},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.23650330305099487},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.20384898781776428},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.13739970326423645},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.10093531012535095},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/jsait.2021.3052934","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jsait.2021.3052934","pdf_url":null,"source":{"id":"https://openalex.org/S4210211895","display_name":"IEEE Journal on Selected Areas in Information Theory","issn_l":"2641-8770","issn":["2641-8770"],"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 Journal on Selected Areas in Information Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Partnerships for the goals","score":0.46000000834465027,"id":"https://metadata.un.org/sdg/17"}],"awards":[{"id":"https://openalex.org/G1446733229","display_name":null,"funder_award_id":"W911NF-19-1-0344","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G4045167999","display_name":null,"funder_award_id":"N00014-18-1-2057","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G4960211708","display_name":null,"funder_award_id":"CNS-1731384","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5984804862","display_name":null,"funder_award_id":"CCF-1907053","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"},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"},{"id":"https://openalex.org/F4320338281","display_name":"Army Research Office","ror":"https://ror.org/05epdh915"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":61,"referenced_works":["https://openalex.org/W1796621330","https://openalex.org/W2035476608","https://openalex.org/W2064898684","https://openalex.org/W2121423622","https://openalex.org/W2268702383","https://openalex.org/W2556205507","https://openalex.org/W2589571058","https://openalex.org/W2599749253","https://openalex.org/W2745045892","https://openalex.org/W2768218911","https://openalex.org/W2773254315","https://openalex.org/W2784935051","https://openalex.org/W2787606899","https://openalex.org/W2798525132","https://openalex.org/W2798801051","https://openalex.org/W2806273311","https://openalex.org/W2885072262","https://openalex.org/W2885101524","https://openalex.org/W2887781106","https://openalex.org/W2888732914","https://openalex.org/W2902687529","https://openalex.org/W2906470669","https://openalex.org/W2909450168","https://openalex.org/W2913650161","https://openalex.org/W2922342388","https://openalex.org/W2929607020","https://openalex.org/W2939280609","https://openalex.org/W2962692592","https://openalex.org/W2962850796","https://openalex.org/W2963041503","https://openalex.org/W2963066199","https://openalex.org/W2963117124","https://openalex.org/W2963138848","https://openalex.org/W2963256807","https://openalex.org/W2963461717","https://openalex.org/W2963498933","https://openalex.org/W2963585086","https://openalex.org/W2963898134","https://openalex.org/W2964095159","https://openalex.org/W2964120628","https://openalex.org/W2970332196","https://openalex.org/W2975360380","https://openalex.org/W2975722824","https://openalex.org/W2976058819","https://openalex.org/W2976539128","https://openalex.org/W2982008584","https://openalex.org/W3000532897","https://openalex.org/W3007714448","https://openalex.org/W3044113996","https://openalex.org/W3046264682","https://openalex.org/W3047848333","https://openalex.org/W3080407940","https://openalex.org/W3098226281","https://openalex.org/W3100515187","https://openalex.org/W3103649678","https://openalex.org/W3124082353","https://openalex.org/W3141585064","https://openalex.org/W4251680018","https://openalex.org/W4288263679","https://openalex.org/W4301515685","https://openalex.org/W6730190955"],"related_works":["https://openalex.org/W1974407206","https://openalex.org/W2004916460","https://openalex.org/W2962985479","https://openalex.org/W2020777648","https://openalex.org/W1523285705","https://openalex.org/W2772956802","https://openalex.org/W2039853057","https://openalex.org/W2056120647","https://openalex.org/W1829171354","https://openalex.org/W2069906535"],"abstract_inverted_index":{"A":[0,60],"secure":[1,115,163],"multi-party":[2],"batch":[3,125],"matrix":[4,149],"multiplication":[5,150],"problem":[6],"(SMBMM)":[7],"is":[8,13,73,90],"considered,":[9],"where":[10],"the":[11,21,32,45,48,55,58,169],"goal":[12],"to":[14,18,88,129,161,167],"allow":[15],"a":[16,91],"master":[17,49],"efficiently":[19],"compute":[20],"pairwise":[22],"products":[23],"of":[24,27,85,133],"two":[25],"batches":[26],"massive":[28],"matrices,":[29],"by":[30,101],"distributing":[31],"computation":[33],"across":[34],"S":[35],"servers.":[36],"Any":[37],"X":[38],"colluding":[39],"servers":[40],"gain":[41],"no":[42,51],"information":[43,53,165],"about":[44,54],"input,":[46],"and":[47,103,114,127,147],"gains":[50],"additional":[52],"input":[56],"beyond":[57],"product.":[59],"solution":[61,87],"called":[62,94],"Generalized":[63],"Cross":[64,142],"Subspace":[65,143],"Alignment":[66,70,144],"codes":[67,108,146],"with":[68,140],"Noise":[69],"(GCSA-":[71],"NA)":[72],"proposed":[74,100],"in":[75,109],"this":[76],"work,":[77],"based":[78],"on":[79],"cross-subspace":[80],"alignment":[81,135,157],"codes.":[82],"The":[83,131],"state":[84],"art":[86],"SMBMM":[89],"coding":[92],"scheme":[93],"polynomial":[95],"sharing":[96],"(PS)":[97],"that":[98],"was":[99],"Nodehi":[102],"Maddah-Ali.":[104],"GCSA-NA":[105],"outperforms":[106],"PS":[107],"several":[110],"key":[111],"aspects-more":[112],"efficient":[113,124],"inter-server":[116,121],"communication,":[117],"lower":[118],"latency,":[119],"flexible":[120],"network":[122],"topology,":[123],"processing,":[126],"tolerance":[128],"stragglers.":[130],"idea":[132],"noise":[134,156],"can":[136,158],"also":[137],"be":[138,159],"combined":[139],"N-source":[141],"(N-CSA)":[145],"fast":[148],"algorithms":[151],"like":[152],"Strassen's":[153],"construction.":[154],"Moreover,":[155],"applied":[160],"symmetric":[162],"private":[164],"retrieval":[166],"achieve":[168],"asymptotic":[170],"capacity.":[171]},"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":16},{"year":2021,"cited_by_count":10},{"year":2020,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
