{"id":"https://openalex.org/W3008718457","doi":"https://doi.org/10.1109/tit.2020.2975776","title":"New Constructions of Subspace Codes Using Subsets of MRD Codes in Several Blocks","display_name":"New Constructions of Subspace Codes Using Subsets of MRD Codes in Several Blocks","publication_year":2020,"publication_date":"2020-02-25","ids":{"openalex":"https://openalex.org/W3008718457","doi":"https://doi.org/10.1109/tit.2020.2975776","mag":"3008718457"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2020.2975776","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2020.2975776","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Transactions on 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/A5060351425","display_name":"Hao Chen","orcid":"https://orcid.org/0000-0002-4558-8982"},"institutions":[{"id":"https://openalex.org/I159948400","display_name":"Jinan University","ror":"https://ror.org/02xe5ns62","country_code":"CN","type":"education","lineage":["https://openalex.org/I159948400"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hao Chen","raw_affiliation_strings":["College of Cyber Security, Jinan University, Guangzhou, China","College of Information Science and Technology, Jinan University, Guangzhou, China"],"raw_orcid":"https://orcid.org/0000-0002-4558-8982","affiliations":[{"raw_affiliation_string":"College of Cyber Security, Jinan University, Guangzhou, China","institution_ids":["https://openalex.org/I159948400"]},{"raw_affiliation_string":"College of Information Science and Technology, Jinan University, Guangzhou, China","institution_ids":["https://openalex.org/I159948400"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079769529","display_name":"Xianmang He","orcid":"https://orcid.org/0000-0002-6893-6476"},"institutions":[{"id":"https://openalex.org/I2799850029","display_name":"Dongguan University of Technology","ror":"https://ror.org/01m8p7q42","country_code":"CN","type":"education","lineage":["https://openalex.org/I2799850029"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xianmang He","raw_affiliation_strings":["School of Network Security, Dongguan University of Technology, Dongguan, China"],"raw_orcid":"https://orcid.org/0000-0002-6893-6476","affiliations":[{"raw_affiliation_string":"School of Network Security, Dongguan University of Technology, Dongguan, China","institution_ids":["https://openalex.org/I2799850029"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082041657","display_name":"Jian Weng","orcid":"https://orcid.org/0000-0003-4067-8230"},"institutions":[{"id":"https://openalex.org/I159948400","display_name":"Jinan University","ror":"https://ror.org/02xe5ns62","country_code":"CN","type":"education","lineage":["https://openalex.org/I159948400"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jian Weng","raw_affiliation_strings":["College of Cyber Security, Jinan University, Guangzhou, China","College of Information Science and Technology, Jinan University, Guangzhou, China"],"raw_orcid":"https://orcid.org/0000-0003-4067-8230","affiliations":[{"raw_affiliation_string":"College of Cyber Security, Jinan University, Guangzhou, China","institution_ids":["https://openalex.org/I159948400"]},{"raw_affiliation_string":"College of Information Science and Technology, Jinan University, Guangzhou, China","institution_ids":["https://openalex.org/I159948400"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006565342","display_name":"Liqing Xu","orcid":"https://orcid.org/0000-0002-7388-6055"},"institutions":[{"id":"https://openalex.org/I159948400","display_name":"Jinan University","ror":"https://ror.org/02xe5ns62","country_code":"CN","type":"education","lineage":["https://openalex.org/I159948400"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liqing Xu","raw_affiliation_strings":["College of Cyber Security, Jinan University, Guangzhou, China","College of Information Science and Technology, Jinan University, Guangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Cyber Security, Jinan University, Guangzhou, China","institution_ids":["https://openalex.org/I159948400"]},{"raw_affiliation_string":"College of Information Science and Technology, Jinan University, Guangzhou, China","institution_ids":["https://openalex.org/I159948400"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.7001,"has_fulltext":false,"cited_by_count":47,"citation_normalized_percentile":{"value":0.95021614,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"66","issue":"9","first_page":"5317","last_page":"5321"},"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/T11458","display_name":"Advanced Wireless Communication Technologies","score":0.989300012588501,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9854999780654907,"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/linear-subspace","display_name":"Linear subspace","score":0.7723169326782227},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.7287469506263733},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6996301412582397},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.6377704739570618},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5836578607559204},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5360555648803711},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.47784945368766785},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.47044625878334045},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.453098326921463},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2364695966243744},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.09288099408149719}],"concepts":[{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.7723169326782227},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.7287469506263733},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6996301412582397},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.6377704739570618},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5836578607559204},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5360555648803711},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.47784945368766785},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.47044625878334045},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.453098326921463},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2364695966243744},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.09288099408149719},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2020.2975776","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2020.2975776","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Transactions on Information Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1299215677","display_name":null,"funder_award_id":"U1509213","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1427926582","display_name":null,"funder_award_id":"U1736203","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3199507596","display_name":"\u591a\u65b9\u5dee\u5206\u9690\u79c1\u4fdd\u62a4\u8ba1\u7b97\u6280\u672f\u7814\u7a76","funder_award_id":"61672303","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6220089879","display_name":null,"funder_award_id":"61825203","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6948784599","display_name":null,"funder_award_id":"11531002","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6998625375","display_name":null,"funder_award_id":"2017B010111005","funder_id":"https://openalex.org/F4320335795","funder_display_name":"Science and Technology Planning Project of Guangdong Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335795","display_name":"Science and Technology Planning Project of Guangdong Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1494164048","https://openalex.org/W1569612250","https://openalex.org/W1612542575","https://openalex.org/W1697479560","https://openalex.org/W1698238101","https://openalex.org/W1876525288","https://openalex.org/W2027684184","https://openalex.org/W2055060019","https://openalex.org/W2079696964","https://openalex.org/W2095418648","https://openalex.org/W2095547380","https://openalex.org/W2098313715","https://openalex.org/W2107712595","https://openalex.org/W2139145447","https://openalex.org/W2139416652","https://openalex.org/W2194212690","https://openalex.org/W2235756682","https://openalex.org/W2245663796","https://openalex.org/W2613937705","https://openalex.org/W2804785981","https://openalex.org/W2912975828","https://openalex.org/W2963810572","https://openalex.org/W3008718457","https://openalex.org/W3101800757","https://openalex.org/W3104838269","https://openalex.org/W4299900982","https://openalex.org/W6689828019","https://openalex.org/W6766911159"],"related_works":["https://openalex.org/W3100286349","https://openalex.org/W2896134808","https://openalex.org/W3172436493","https://openalex.org/W4287164812","https://openalex.org/W2957492749","https://openalex.org/W1887135636","https://openalex.org/W2386063599","https://openalex.org/W1975884855","https://openalex.org/W3213150849","https://openalex.org/W4285605394"],"abstract_inverted_index":{"A":[0,16,154],"basic":[1],"problem":[2],"for":[3,57,153],"the":[4,12,39,94,127],"constant":[5,74,143,165],"dimension":[6,75,144,166],"subspace":[7,40,76,145,167],"coding":[8],"is":[9,90,133],"to":[10,93,99,137],"determine":[11],"maximal":[13],"possible":[14],"size":[15],"<sub":[17,34,155],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[18,32,35,156],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">q</sub>":[19,36,157],"(n,":[20,158],"d,":[21,159],"k)":[22],"of":[23,26,73,80,102,104,113,130],"a":[24],"set":[25],"k-dimensional":[27],"subspaces":[28,61],"in":[29,65,85,140],"F":[30],"<sup":[31],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n</sup>":[33],"such":[37],"that":[38],"distance":[41],"satisfies":[42],"d(U,":[43],"V":[44,53,64],")":[45,54],"=":[46],"2k":[47],"-":[48],"2":[49],"dim":[50],"(U":[51],"\u2229":[52],"\u2265":[55],"d":[56],"any":[58],"two":[59,70,110],"different":[60],"U":[62],"and":[63,97],"this":[66],"set.":[67],"We":[68,147],"present":[69],"new":[71,150,164],"constructions":[72],"codes":[77,84,115,132,168,174],"using":[78],"subsets":[79,112],"maximum":[81],"rank-distance":[82],"(MRD)":[83],"several":[86],"blocks.":[87],"This":[88],"method":[89],"firstly":[91],"applied":[92],"linkage":[95],"construction":[96],"secondly":[98],"arbitrary":[100],"number":[101],"blocks":[103],"lifting":[105],"MRD":[106,114,131],"codes.":[107,146],"In":[108],"these":[109],"constructions,":[111],"with":[116],"bounded":[117],"ranks":[118],"play":[119],"an":[120,134],"essential":[121],"role.":[122],"The":[123],"Delsarte":[124],"theorem":[125],"about":[126],"rank":[128],"distribution":[129],"important":[135],"ingredient":[136],"count":[138],"codewords":[139],"our":[141],"constructed":[142],"give":[148],"many":[149],"lower":[151],"bounds":[152],"k).":[160],"More":[161],"than":[162,170],"110":[163],"better":[169],"previously":[171],"best":[172],"known":[173],"are":[175],"constructed.":[176]},"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":10},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
