{"id":"https://openalex.org/W4386450148","doi":"https://doi.org/10.1109/iccc57788.2023.10233599","title":"A Unified Framework of Array Codes Based on Vector Linear Network Coding","display_name":"A Unified Framework of Array Codes Based on Vector Linear Network Coding","publication_year":2023,"publication_date":"2023-08-10","ids":{"openalex":"https://openalex.org/W4386450148","doi":"https://doi.org/10.1109/iccc57788.2023.10233599"},"language":"en","primary_location":{"id":"doi:10.1109/iccc57788.2023.10233599","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iccc57788.2023.10233599","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 IEEE/CIC International Conference on Communications in China (ICCC)","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/A5056975770","display_name":"Qifu Tyler Sun","orcid":"https://orcid.org/0000-0003-3213-1569"},"institutions":[{"id":"https://openalex.org/I92403157","display_name":"University of Science and Technology Beijing","ror":"https://ror.org/02egmk993","country_code":"CN","type":"education","lineage":["https://openalex.org/I92403157"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Qifu Tyler Sun","raw_affiliation_strings":["University of Science and Technology Beijing,Department of Communication Engineering,P. R. China","Department of Communication Engineering, University of Science and Technology Beijing, P. R. China"],"affiliations":[{"raw_affiliation_string":"University of Science and Technology Beijing,Department of Communication Engineering,P. R. China","institution_ids":["https://openalex.org/I92403157"]},{"raw_affiliation_string":"Department of Communication Engineering, University of Science and Technology Beijing, P. R. China","institution_ids":["https://openalex.org/I92403157"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100707145","display_name":"Sheng Jin","orcid":"https://orcid.org/0000-0002-9532-4272"},"institutions":[{"id":"https://openalex.org/I92403157","display_name":"University of Science and Technology Beijing","ror":"https://ror.org/02egmk993","country_code":"CN","type":"education","lineage":["https://openalex.org/I92403157"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Sheng Jin","raw_affiliation_strings":["University of Science and Technology Beijing,Department of Communication Engineering,P. R. China","Department of Communication Engineering, University of Science and Technology Beijing, P. R. China"],"affiliations":[{"raw_affiliation_string":"University of Science and Technology Beijing,Department of Communication Engineering,P. R. China","institution_ids":["https://openalex.org/I92403157"]},{"raw_affiliation_string":"Department of Communication Engineering, University of Science and Technology Beijing, P. R. China","institution_ids":["https://openalex.org/I92403157"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102552569","display_name":"Zhe Zhai","orcid":null},"institutions":[{"id":"https://openalex.org/I92403157","display_name":"University of Science and Technology Beijing","ror":"https://ror.org/02egmk993","country_code":"CN","type":"education","lineage":["https://openalex.org/I92403157"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhe Zhai","raw_affiliation_strings":["University of Science and Technology Beijing,Department of Communication Engineering,P. R. China","Department of Communication Engineering, University of Science and Technology Beijing, P. R. China"],"affiliations":[{"raw_affiliation_string":"University of Science and Technology Beijing,Department of Communication Engineering,P. R. China","institution_ids":["https://openalex.org/I92403157"]},{"raw_affiliation_string":"Department of Communication Engineering, University of Science and Technology Beijing, P. R. China","institution_ids":["https://openalex.org/I92403157"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101579923","display_name":"Hao Wei","orcid":"https://orcid.org/0000-0003-0747-9889"},"institutions":[{"id":"https://openalex.org/I92403157","display_name":"University of Science and Technology Beijing","ror":"https://ror.org/02egmk993","country_code":"CN","type":"education","lineage":["https://openalex.org/I92403157"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hao Wei","raw_affiliation_strings":["University of Science and Technology Beijing,Department of Communication Engineering,P. R. China","Department of Communication Engineering, University of Science and Technology Beijing, P. R. China"],"affiliations":[{"raw_affiliation_string":"University of Science and Technology Beijing,Department of Communication Engineering,P. R. China","institution_ids":["https://openalex.org/I92403157"]},{"raw_affiliation_string":"Department of Communication Engineering, University of Science and Technology Beijing, P. R. China","institution_ids":["https://openalex.org/I92403157"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066247159","display_name":"Zongpeng Li","orcid":"https://orcid.org/0000-0001-5351-2075"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zongpeng Li","raw_affiliation_strings":["Tsinghua University,Institute for Network Sciences and Cyberspace,P. R. China","Institute for Network Sciences and Cyberspace, Tsinghua University, P. R. China"],"affiliations":[{"raw_affiliation_string":"Tsinghua University,Institute for Network Sciences and Cyberspace,P. R. China","institution_ids":["https://openalex.org/I99065089"]},{"raw_affiliation_string":"Institute for Network Sciences and Cyberspace, Tsinghua University, P. R. China","institution_ids":["https://openalex.org/I99065089"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5056975770"],"corresponding_institution_ids":["https://openalex.org/I92403157"],"apc_list":null,"apc_paid":null,"fwci":0.4012,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.61324656,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9998999834060669,"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":0.9998999834060669,"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/T11181","display_name":"Advanced Data Storage Technologies","score":0.9944000244140625,"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/T11321","display_name":"Error Correcting Code Techniques","score":0.9927999973297119,"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/block-code","display_name":"Block code","score":0.645438551902771},{"id":"https://openalex.org/keywords/modulo","display_name":"Modulo","score":0.6358928680419922},{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.5894378423690796},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.5788299441337585},{"id":"https://openalex.org/keywords/generator-matrix","display_name":"Generator matrix","score":0.5734362602233887},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.48515114188194275},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.4802256226539612},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.47070714831352234},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.45192620158195496},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.4456157684326172},{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.42819347977638245},{"id":"https://openalex.org/keywords/encoding","display_name":"Encoding (memory)","score":0.4201875925064087},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4120435118675232},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4029238224029541},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3939056396484375},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3693026304244995},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.274332195520401},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.2619055509567261}],"concepts":[{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.645438551902771},{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.6358928680419922},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.5894378423690796},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.5788299441337585},{"id":"https://openalex.org/C1842014","wikidata":"https://www.wikidata.org/wiki/Q1502046","display_name":"Generator matrix","level":3,"score":0.5734362602233887},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.48515114188194275},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.4802256226539612},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47070714831352234},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.45192620158195496},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.4456157684326172},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.42819347977638245},{"id":"https://openalex.org/C125411270","wikidata":"https://www.wikidata.org/wiki/Q18653","display_name":"Encoding (memory)","level":2,"score":0.4201875925064087},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4120435118675232},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4029238224029541},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3939056396484375},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3693026304244995},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.274332195520401},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.2619055509567261},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/iccc57788.2023.10233599","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iccc57788.2023.10233599","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 IEEE/CIC International Conference on Communications in China (ICCC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1483151078","https://openalex.org/W1622719107","https://openalex.org/W2115552168","https://openalex.org/W2117872622","https://openalex.org/W2147343704","https://openalex.org/W2166011389","https://openalex.org/W2732892807","https://openalex.org/W2743248540","https://openalex.org/W2765335304","https://openalex.org/W2807857709","https://openalex.org/W2922107475","https://openalex.org/W3106493979","https://openalex.org/W4289713213","https://openalex.org/W6636645890"],"related_works":["https://openalex.org/W135568846","https://openalex.org/W2460434904","https://openalex.org/W1789159349","https://openalex.org/W2113911300","https://openalex.org/W4247927056","https://openalex.org/W2131338819","https://openalex.org/W2151857680","https://openalex.org/W832867880","https://openalex.org/W4386066307","https://openalex.org/W2147254059"],"abstract_inverted_index":{"Inspired":[0],"by":[1,23,111],"the":[2,65,76,106,112,131,140,144,152,158,168],"algebraic":[3],"framework":[4],"of":[5,45,85,134,143],"vector":[6],"linear":[7],"network":[8],"coding,":[9],"we":[10,79],"advocate":[11],"in":[12,31,53,162],"this":[13,163],"paper":[14,164],"to":[15,63,120,130],"characterize":[16],"an":[17,37],"L-dimensional":[18],"(n,":[19],"k)":[20,89],"array":[21,47,92],"code":[22],"a":[24,54],"k":[25,109,180],"\u00d7":[26,39],"n":[27],"block":[28,34],"generator":[29],"matrix":[30],"which":[32],"every":[33],"entry":[35],"is":[36,60,115],"L":[38,40,119],"binary":[41],"matrix.":[42],"A":[43],"number":[44],"wellknown":[46],"codes":[48,93,102,114,146,160],"can":[49,147,165],"thus":[50],"be":[51,149],"interpreted":[52],"unified":[55,77],"way":[56],"so":[57],"that":[58],"it":[59],"more":[61],"transparent":[62],"investigate":[64],"intrinsic":[66],"connections":[67],"and":[68,103,138,181],"differences":[69],"among":[70],"these":[71],"famous":[72],"codes.":[73],"Based":[74],"on":[75],"framework,":[78],"further":[80],"introduce":[81],"two":[82],"new":[83,113,145,159],"types":[84],"(k":[86],"+":[87],"r,":[88],"maximum-distance":[90],"separable":[91],"with":[94,99,178],"r":[95,154],"\u2264":[96],"3.":[97,156],"Compared":[98],"classical":[100],"EVENODD":[101],"RDP":[104],"codes,":[105],"largest":[107],"possible":[108],"supported":[110],"significantly":[116],"increased":[117],"from":[118],"${2^{{m_L}}}":[121],"-":[122],"1$,":[123],"where":[124],"m":[125],"<inf":[126],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[127],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">L</inf>":[128],"refers":[129],"multiplicative":[132],"order":[133],"2":[135,172],"modulo":[136],"L,":[137],"meanwhile,":[139],"encoding":[141,170],"complexity":[142,171],"also":[148],"reduced":[150],"for":[151],"case":[153],"=":[155],"Specifically,":[157],"proposed":[161],"asymptotically":[166],"approach":[167],"optimal":[169],"XORs":[173],"per":[174],"original":[175],"data":[176],"bit":[177],"increasing":[179],"L.":[182]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
