{"id":"https://openalex.org/W4414356344","doi":"https://doi.org/10.3390/e27090975","title":"On the Storage\u2013Communication Trade-Off in Graph-Based X-Secure T-Private Linear Computation","display_name":"On the Storage\u2013Communication Trade-Off in Graph-Based X-Secure T-Private Linear Computation","publication_year":2025,"publication_date":"2025-09-18","ids":{"openalex":"https://openalex.org/W4414356344","doi":"https://doi.org/10.3390/e27090975","pmid":"https://pubmed.ncbi.nlm.nih.gov/41008102"},"language":"en","primary_location":{"id":"doi:10.3390/e27090975","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e27090975","pdf_url":null,"source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.3390/e27090975","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062523078","display_name":"Yueyang Liu","orcid":"https://orcid.org/0009-0009-3636-6577"},"institutions":[{"id":"https://openalex.org/I139759216","display_name":"Beijing University of Posts and Telecommunications","ror":"https://ror.org/04w9fbh59","country_code":"CN","type":"education","lineage":["https://openalex.org/I139759216"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yueyang Liu","raw_affiliation_strings":["School of Artificial Intelligence, Beijing University of Posts and Telecommunications, Beijing 100876, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Artificial Intelligence, Beijing University of Posts and Telecommunications, Beijing 100876, China","institution_ids":["https://openalex.org/I139759216"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100589452","display_name":"Haobo Jia","orcid":"https://orcid.org/0009-0005-8018-9011"},"institutions":[{"id":"https://openalex.org/I139759216","display_name":"Beijing University of Posts and Telecommunications","ror":"https://ror.org/04w9fbh59","country_code":"CN","type":"education","lineage":["https://openalex.org/I139759216"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haobo Jia","raw_affiliation_strings":["School of Artificial Intelligence, Beijing University of Posts and Telecommunications, Beijing 100876, China"],"raw_orcid":"https://orcid.org/0009-0005-8018-9011","affiliations":[{"raw_affiliation_string":"School of Artificial Intelligence, Beijing University of Posts and Telecommunications, Beijing 100876, China","institution_ids":["https://openalex.org/I139759216"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078730764","display_name":"Zhuqing Jia","orcid":"https://orcid.org/0000-0002-8329-9911"},"institutions":[{"id":"https://openalex.org/I139759216","display_name":"Beijing University of Posts and Telecommunications","ror":"https://ror.org/04w9fbh59","country_code":"CN","type":"education","lineage":["https://openalex.org/I139759216"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhuqing Jia","raw_affiliation_strings":["School of Artificial Intelligence, Beijing University of Posts and Telecommunications, Beijing 100876, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Artificial Intelligence, Beijing University of Posts and Telecommunications, Beijing 100876, China","institution_ids":["https://openalex.org/I139759216"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5078730764"],"corresponding_institution_ids":["https://openalex.org/I139759216"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":1.9057,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.8934864,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"27","issue":"9","first_page":"975","last_page":"975"},"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9990000128746033,"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"}},{"id":"https://openalex.org/T10764","display_name":"Privacy-Preserving Technologies in Data","score":0.9940000176429749,"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/server","display_name":"Server","score":0.5773000121116638},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5527999997138977},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5110999941825867},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.49140000343322754},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.4781000018119812},{"id":"https://openalex.org/keywords/abstraction","display_name":"Abstraction","score":0.4530999958515167},{"id":"https://openalex.org/keywords/distributed-data-store","display_name":"Distributed data store","score":0.3756999969482422},{"id":"https://openalex.org/keywords/quantum-computer","display_name":"Quantum computer","score":0.3630000054836273}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7382000088691711},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.6237000226974487},{"id":"https://openalex.org/C93996380","wikidata":"https://www.wikidata.org/wiki/Q44127","display_name":"Server","level":2,"score":0.5773000121116638},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5527999997138977},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5110999941825867},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.49140000343322754},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.4781000018119812},{"id":"https://openalex.org/C124304363","wikidata":"https://www.wikidata.org/wiki/Q673661","display_name":"Abstraction","level":2,"score":0.4530999958515167},{"id":"https://openalex.org/C24885549","wikidata":"https://www.wikidata.org/wiki/Q339678","display_name":"Distributed data store","level":2,"score":0.3756999969482422},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.3630000054836273},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.3621000051498413},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.35100001096725464},{"id":"https://openalex.org/C125411270","wikidata":"https://www.wikidata.org/wiki/Q18653","display_name":"Encoding (memory)","level":2,"score":0.3440999984741211},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32989999651908875},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.3285999894142151},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.3025999963283539},{"id":"https://openalex.org/C154690210","wikidata":"https://www.wikidata.org/wiki/Q1668499","display_name":"Rewriting","level":2,"score":0.2946000099182129},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.2784000039100647},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.27480000257492065},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.27070000767707825},{"id":"https://openalex.org/C184596265","wikidata":"https://www.wikidata.org/wiki/Q2651576","display_name":"Model of computation","level":3,"score":0.2630999982357025},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.2565000057220459},{"id":"https://openalex.org/C2778220771","wikidata":"https://www.wikidata.org/wiki/Q1522579","display_name":"Substitution (logic)","level":2,"score":0.2563000023365021}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.3390/e27090975","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e27090975","pdf_url":null,"source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmid:41008102","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/41008102","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy (Basel, Switzerland)","raw_type":null},{"id":"pmh:oai:doaj.org/article:0f738ff4a9184637a0f6e8c122ab82e9","is_oa":true,"landing_page_url":"https://doaj.org/article/0f738ff4a9184637a0f6e8c122ab82e9","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 27, Iss 9, p 975 (2025)","raw_type":"article"},{"id":"pmh:oai:europepmc.org:11276845","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/12469756","pdf_url":null,"source":{"id":"https://openalex.org/S4306400806","display_name":"Europe PMC (PubMed Central)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1303153112","host_organization_name":"European Bioinformatics Institute","host_organization_lineage":["https://openalex.org/I1303153112"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Text"},{"id":"pmh:oai:pubmedcentral.nih.gov:12469756","is_oa":true,"landing_page_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC12469756/","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy (Basel)","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e27090975","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e27090975","pdf_url":null,"source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3818096061","display_name":null,"funder_award_id":"62201080","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":52,"referenced_works":["https://openalex.org/W2260085643","https://openalex.org/W2531251918","https://openalex.org/W2549939309","https://openalex.org/W2599749253","https://openalex.org/W2768218911","https://openalex.org/W2774968492","https://openalex.org/W2784057441","https://openalex.org/W2802001504","https://openalex.org/W2808769206","https://openalex.org/W2809388578","https://openalex.org/W2888732914","https://openalex.org/W2898111259","https://openalex.org/W2906543194","https://openalex.org/W2919422837","https://openalex.org/W2925300256","https://openalex.org/W2961382438","https://openalex.org/W2962692592","https://openalex.org/W2963032222","https://openalex.org/W2963246398","https://openalex.org/W2963360430","https://openalex.org/W2963413537","https://openalex.org/W2963898134","https://openalex.org/W2964177287","https://openalex.org/W2965859926","https://openalex.org/W2969926671","https://openalex.org/W2976078580","https://openalex.org/W2982008584","https://openalex.org/W2990789045","https://openalex.org/W3010011586","https://openalex.org/W3010196816","https://openalex.org/W3044113996","https://openalex.org/W3046264682","https://openalex.org/W3047955307","https://openalex.org/W3080316257","https://openalex.org/W3083795847","https://openalex.org/W3105025471","https://openalex.org/W3105958450","https://openalex.org/W3121174741","https://openalex.org/W3136902772","https://openalex.org/W3160109493","https://openalex.org/W3186365564","https://openalex.org/W3210888078","https://openalex.org/W4210329736","https://openalex.org/W4210725882","https://openalex.org/W4226486471","https://openalex.org/W4226549547","https://openalex.org/W4311080731","https://openalex.org/W4393058395","https://openalex.org/W4393380188","https://openalex.org/W4393407211","https://openalex.org/W4394805131","https://openalex.org/W4405219977"],"related_works":[],"abstract_inverted_index":{"The":[0],"problem":[1],"of":[2,19,25,48,55,65,77,110,117,120,160,164],"graph-based":[3,35,132],"X-secure":[4],"T-private":[5],"linear":[6,17,57],"computation":[7],"(GXSTPLC)":[8],"is":[9,40],"to":[10,14,42,62,67,79,150],"allow":[11],"a":[12,16,23,34,46,100,143,147,152],"user":[13],"retrieve":[15],"combination":[18,58],"K":[20],"messages":[21,32],"from":[22],"set":[24,76],"N":[26],"distributed":[27,44],"servers":[28,82],"that":[29,52,74,98,125],"store":[30],"the":[31,53,56,86,115,118,131,158],"in":[33],"fashion,":[36],"i.e.,":[37],"each":[38],"message":[39],"restricted":[41],"be":[43],"among":[45],"subset":[47],"servers.":[49],"T-privacy":[50],"requires":[51],"coefficients":[54],"are":[59],"not":[60],"revealed":[61],"any":[63,75],"group":[64],"up":[66,78],"T":[68],"colluding":[69,81],"servers,":[70],"and":[71],"X-security":[72],"guarantees":[73],"X":[80],"learns":[83],"nothing":[84],"about":[85],"messages.":[87],"In":[88,135],"this":[89],"paper,":[90],"we":[91],"propose":[92],"an":[93],"achievability":[94,112],"scheme":[95,113,141],"for":[96],"GXSTPLC":[97],"enables":[99],"storage\u2013communication":[101],"trade-off":[102],"by":[103,130,156],"exploiting":[104],"non-replicated":[105],"storage":[106,133],"codes.":[107],"Novel":[108],"aspects":[109],"our":[111,140],"include":[114],"usage":[116],"idea":[119,159],"cross-subspace":[121],"alignment":[122],"null":[123],"shaper":[124],"addresses":[126],"various":[127],"challenges":[128],"posed":[129],"structure.":[134],"addition,":[136],"unlike":[137],"previous":[138],"works,":[139],"allows":[142],"direct":[144],"transformation":[145],"into":[146],"quantum":[148,165],"one":[149],"achieve":[151],"superdense":[153],"coding":[154],"gain":[155],"leveraging":[157],"N-Sum":[161],"Box":[162],"abstraction":[163],"\u201cover-the-air\u201d":[166],"computing.":[167]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}