{"id":"https://openalex.org/W4386072163","doi":"https://doi.org/10.1109/isit54713.2023.10206764","title":"HerA Scheme: Secure Distributed Matrix Multiplication via Hermitian Codes","display_name":"HerA Scheme: Secure Distributed Matrix Multiplication via Hermitian Codes","publication_year":2023,"publication_date":"2023-06-25","ids":{"openalex":"https://openalex.org/W4386072163","doi":"https://doi.org/10.1109/isit54713.2023.10206764"},"language":"en","primary_location":{"id":"doi:10.1109/isit54713.2023.10206764","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit54713.2023.10206764","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-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/A5013645637","display_name":"Roberto A. Machado","orcid":null},"institutions":[{"id":"https://openalex.org/I8078737","display_name":"Clemson University","ror":"https://ror.org/037s24f05","country_code":"US","type":"education","lineage":["https://openalex.org/I8078737"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Roberto A. Machado","raw_affiliation_strings":["Clemson University,School of Mathematical and Statistical Sciences,Clemson,SC,USA,29634"],"affiliations":[{"raw_affiliation_string":"Clemson University,School of Mathematical and Statistical Sciences,Clemson,SC,USA,29634","institution_ids":["https://openalex.org/I8078737"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084201022","display_name":"Gretchen L. Matthews","orcid":"https://orcid.org/0000-0002-8977-8171"},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Gretchen L. Matthews","raw_affiliation_strings":["Virginia Tech,Department of Mathematics,Blacksburg,VA,USA,24061"],"affiliations":[{"raw_affiliation_string":"Virginia Tech,Department of Mathematics,Blacksburg,VA,USA,24061","institution_ids":["https://openalex.org/I859038795"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049658395","display_name":"Welington Santos","orcid":"https://orcid.org/0000-0002-9458-4363"},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Welington Santos","raw_affiliation_strings":["Virginia Tech,Department of Mathematics,Blacksburg,VA,USA,24061"],"affiliations":[{"raw_affiliation_string":"Virginia Tech,Department of Mathematics,Blacksburg,VA,USA,24061","institution_ids":["https://openalex.org/I859038795"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5013645637"],"corresponding_institution_ids":["https://openalex.org/I8078737"],"apc_list":null,"apc_paid":null,"fwci":2.0979,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.89680675,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"1729","last_page":"1734"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data Security","score":0.9997000098228455,"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":0.9997000098228455,"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9961000084877014,"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/T11130","display_name":"Coding theory and cryptography","score":0.9926999807357788,"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/hermitian-matrix","display_name":"Hermitian matrix","score":0.741234302520752},{"id":"https://openalex.org/keywords/matrix-multiplication","display_name":"Matrix multiplication","score":0.6611351370811462},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.6243791580200195},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.6021872162818909},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5427799820899963},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.43099987506866455},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.4215746223926544},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37127822637557983},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3545107841491699},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2693216800689697},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13746708631515503},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1364327073097229}],"concepts":[{"id":"https://openalex.org/C94940","wikidata":"https://www.wikidata.org/wiki/Q652941","display_name":"Hermitian matrix","level":2,"score":0.741234302520752},{"id":"https://openalex.org/C17349429","wikidata":"https://www.wikidata.org/wiki/Q1049914","display_name":"Matrix multiplication","level":3,"score":0.6611351370811462},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.6243791580200195},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.6021872162818909},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5427799820899963},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.43099987506866455},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.4215746223926544},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37127822637557983},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3545107841491699},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2693216800689697},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13746708631515503},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1364327073097229},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"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/isit54713.2023.10206764","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit54713.2023.10206764","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W1557415002","https://openalex.org/W2535290256","https://openalex.org/W2757498728","https://openalex.org/W2805477827","https://openalex.org/W2808580034","https://openalex.org/W2885101524","https://openalex.org/W2898633823","https://openalex.org/W2929607020","https://openalex.org/W2962813697","https://openalex.org/W2962850796","https://openalex.org/W2963117124","https://openalex.org/W2963138848","https://openalex.org/W2963498933","https://openalex.org/W2972866228","https://openalex.org/W2975226900","https://openalex.org/W2975360380","https://openalex.org/W3005122631","https://openalex.org/W3006080064","https://openalex.org/W3007714448","https://openalex.org/W3041063634","https://openalex.org/W3047848333","https://openalex.org/W3080407940","https://openalex.org/W3124082353","https://openalex.org/W3166739552","https://openalex.org/W3197608384","https://openalex.org/W3198686117","https://openalex.org/W3214565882","https://openalex.org/W3215482723","https://openalex.org/W4205380108","https://openalex.org/W4300081679","https://openalex.org/W4310902936","https://openalex.org/W4310902946","https://openalex.org/W4387487837","https://openalex.org/W6738835244","https://openalex.org/W6748185915","https://openalex.org/W6769390107","https://openalex.org/W6788138215","https://openalex.org/W6846553504","https://openalex.org/W6980607849"],"related_works":["https://openalex.org/W1610354793","https://openalex.org/W3099313426","https://openalex.org/W4287593139","https://openalex.org/W752783541","https://openalex.org/W1506547947","https://openalex.org/W2403050821","https://openalex.org/W4293716812","https://openalex.org/W4295373213","https://openalex.org/W4206811032","https://openalex.org/W2995605830"],"abstract_inverted_index":{"We":[0,85,118],"consider":[1],"the":[2,23,32,57,87,98,124,141,145],"problem":[3],"of":[4,25,105],"secure":[5,125],"distributed":[6,126],"matrix":[7,127],"multiplication":[8,128],"(SDMM),":[9],"where":[10],"a":[11,52,77,109,130],"user":[12],"has":[13],"two":[14],"matrices":[15,62,72,106],"and":[16,64,74,80,96,100,135],"wishes":[17],"to":[18,46,108,140],"compute":[19],"their":[20],"product":[21,59],"with":[22,112],"help":[24],"N":[26],"honest":[27],"but":[28],"curious":[29],"servers":[30],"under":[31],"security":[33,101,137],"constraint":[34],"that":[35,55,120],"any":[36,47],"information":[37],"about":[38],"either":[39],"A":[40,63,73],"or":[41],"B":[42,75],"is":[43],"not":[44],"leaked":[45],"server.":[48],"This":[49],"paper":[50],"presents":[51],"new":[53],"scheme":[54,122],"considers":[56],"inner":[58],"partition":[60],"for":[61],"B.":[65],"Our":[66],"central":[67],"technique":[68],"relies":[69],"on":[70],"encoding":[71],"in":[76,129,144],"Hermitian":[78,88,94],"code":[79],"its":[81],"dual":[82],"code,":[83],"respectively.":[84],"present":[86],"Algebraic":[89],"(HerA)":[90],"scheme,":[91],"which":[92],"employs":[93],"codes":[95],"characterizes":[97],"partitioning":[99],"capacities":[102],"given":[103],"entries":[104],"belonging":[107],"finite":[110,133],"field":[111,134],"q":[113],"<sup":[114],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[115],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sup>":[116],"elements.":[117],"showcase":[119],"this":[121],"performs":[123],"significantly":[131],"smaller":[132],"expands":[136],"allowances":[138],"compared":[139],"existing":[142],"results":[143],"literature.":[146]},"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":7}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
