{"id":"https://openalex.org/W4312936827","doi":"https://doi.org/10.1109/tit.2022.3218280","title":"New Optimal Linear Codes With Hierarchical Locality","display_name":"New Optimal Linear Codes With Hierarchical Locality","publication_year":2022,"publication_date":"2022-11-04","ids":{"openalex":"https://openalex.org/W4312936827","doi":"https://doi.org/10.1109/tit.2022.3218280"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2022.3218280","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2022.3218280","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/A5081545653","display_name":"Bocong Chen","orcid":"https://orcid.org/0000-0001-5295-8403"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bocong Chen","raw_affiliation_strings":["School of Mathematics, South China University of Technology, Guangzhou, China"],"raw_orcid":"https://orcid.org/0000-0001-5295-8403","affiliations":[{"raw_affiliation_string":"School of Mathematics, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071167320","display_name":"Guanghui Zhang","orcid":"https://orcid.org/0000-0002-7087-8316"},"institutions":[{"id":"https://openalex.org/I4387155285","display_name":"Suqian University","ror":"https://ror.org/00f93gn72","country_code":null,"type":"education","lineage":["https://openalex.org/I4387155285"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guanghui Zhang","raw_affiliation_strings":["Department of Mathematics, Suqian University, Suqian, China"],"raw_orcid":"https://orcid.org/0000-0002-7087-8316","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Suqian University, Suqian, China","institution_ids":["https://openalex.org/I4387155285"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100749169","display_name":"Wenyan Li","orcid":"https://orcid.org/0000-0001-5177-0396"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenyan Li","raw_affiliation_strings":["School of Mathematics, South China University of Technology, Guangzhou, China"],"raw_orcid":"https://orcid.org/0000-0001-5177-0396","affiliations":[{"raw_affiliation_string":"School of Mathematics, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.2024,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.80218452,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":98},"biblio":{"volume":"69","issue":"3","first_page":"1544","last_page":"1550"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11181","display_name":"Advanced Data Storage Technologies","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/T11181","display_name":"Advanced Data Storage Technologies","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/T11478","display_name":"Caching and Content Delivery","score":0.994700014591217,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9847999811172485,"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/notation","display_name":"Notation","score":0.7178910970687866},{"id":"https://openalex.org/keywords/locality","display_name":"Locality","score":0.6603313684463501},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.5655560493469238},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.509966254234314},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4980762004852295},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4819166958332062},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.41466063261032104},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37123435735702515},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33189454674720764},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.1434364914894104},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10330551862716675},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.08139091730117798}],"concepts":[{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.7178910970687866},{"id":"https://openalex.org/C2779808786","wikidata":"https://www.wikidata.org/wiki/Q6664603","display_name":"Locality","level":2,"score":0.6603313684463501},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.5655560493469238},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.509966254234314},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4980762004852295},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4819166958332062},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.41466063261032104},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37123435735702515},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33189454674720764},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.1434364914894104},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10330551862716675},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.08139091730117798},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2022.3218280","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2022.3218280","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/G1738987912","display_name":"MDS\u731c\u60f3\u53ca\u76f8\u5173\u95ee\u9898\u7814\u7a76","funder_award_id":"11971175","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3014047727","display_name":null,"funder_award_id":"12171162","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":36,"referenced_works":["https://openalex.org/W1866030559","https://openalex.org/W1993830711","https://openalex.org/W1995763034","https://openalex.org/W1997044393","https://openalex.org/W2017346026","https://openalex.org/W2021662392","https://openalex.org/W2050500290","https://openalex.org/W2069554151","https://openalex.org/W2335546159","https://openalex.org/W2611420662","https://openalex.org/W2885726234","https://openalex.org/W2905582394","https://openalex.org/W2944336509","https://openalex.org/W2962735098","https://openalex.org/W2963059679","https://openalex.org/W2963503165","https://openalex.org/W2963890921","https://openalex.org/W2963911258","https://openalex.org/W2964317282","https://openalex.org/W2973825613","https://openalex.org/W2979363856","https://openalex.org/W3003747291","https://openalex.org/W3010113848","https://openalex.org/W3010151182","https://openalex.org/W3011216855","https://openalex.org/W3083398082","https://openalex.org/W3095793903","https://openalex.org/W3099613636","https://openalex.org/W3100004208","https://openalex.org/W3104559424","https://openalex.org/W3107264310","https://openalex.org/W3122364685","https://openalex.org/W3124715992","https://openalex.org/W3125874927","https://openalex.org/W4206775542","https://openalex.org/W4294312835"],"related_works":["https://openalex.org/W2576147416","https://openalex.org/W1978042415","https://openalex.org/W2381880241","https://openalex.org/W2886384632","https://openalex.org/W2363648756","https://openalex.org/W2626799276","https://openalex.org/W2589307556","https://openalex.org/W2160339980","https://openalex.org/W4249758101","https://openalex.org/W1970102182"],"abstract_inverted_index":{"Locally":[0],"repairable":[1],"codes":[2,48,65,132],"with":[3,112],"hierarchical":[4],"locality":[5],"(H-LRCs)":[6],"are":[7,57,119,127],"designed":[8],"to":[9,81],"correct":[10],"different":[11],"numbers":[12],"of":[13,32,62,73,96],"erasures,":[14],"which":[15,68],"play":[16],"a":[17,94],"crucial":[18],"role":[19],"in":[20,121,134],"large-scale":[21],"distributed":[22],"storage":[23],"systems.":[24],"In":[25],"this":[26],"paper,":[27],"we":[28],"construct":[29],"three":[30],"classes":[31,72],"<inline-formula":[33,82,104],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[34,83,105],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[35,84,106],"<tex-math":[36,85,107],"notation=\"LaTeX\">$q$":[37],"</tex-math></inline-formula>":[38,87,109],"-ary":[39],"optimal":[40,74,98],"H-LRCs":[41,75,100],"by":[42,130],"employing":[43],"matrix":[44],"product":[45],"codes,":[46,51],"concatenated":[47],"and":[49],"cyclic":[50,99],"respectively.":[52],"The":[53,90],"first":[54],"two":[55],"constructions":[56,118],"based":[58],"on":[59],"the":[60,113,122,131,135],"idea":[61],"constructing":[63],"new":[64,71,97,120],"from":[66],"old,":[67],"produces":[69],"several":[70],"whose":[76,101],"lengths":[77,102],"can":[78],"reach":[79],"up":[80],"notation=\"LaTeX\">$q^{2}+q$":[86],"or":[88],"unbounded.":[89],"final":[91],"construction":[92],"generates":[93],"class":[95],"divide":[103],"notation=\"LaTeX\">$q-1$":[108],".":[110],"Compared":[111],"previously":[114],"known":[115],"ones,":[116],"our":[117],"sense":[123],"that":[124],"their":[125],"parameters":[126],"not":[128],"covered":[129],"available":[133],"literature.":[136]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}