{"id":"https://openalex.org/W2995223888","doi":"https://doi.org/10.1137/19m1248443","title":"Optimal Binary Linear Locally Repairable Codes with Disjoint Repair Groups","display_name":"Optimal Binary Linear Locally Repairable Codes with Disjoint Repair Groups","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2995223888","doi":"https://doi.org/10.1137/19m1248443","mag":"2995223888"},"language":"en","primary_location":{"id":"doi:10.1137/19m1248443","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1248443","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","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/A5031862283","display_name":"Jingxue Ma","orcid":null},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jingxue Ma","raw_affiliation_strings":["School of Mathematical Sciences, Zhejiang University, Hangzhou 310027, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Zhejiang University, Hangzhou 310027, China","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029449317","display_name":"Gennian Ge","orcid":"https://orcid.org/0000-0002-1535-0754"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]},{"id":"https://openalex.org/I96852419","display_name":"Capital Normal University","ror":"https://ror.org/005edt527","country_code":"CN","type":"education","lineage":["https://openalex.org/I96852419"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Gennian Ge","raw_affiliation_strings":["School of Mathematical Sciences, Capital Normal University, Beijing 100048, China","School of Mathematical Sciences, Zhejiang University, Hangzhou 310027, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Capital Normal University, Beijing 100048, China","institution_ids":["https://openalex.org/I96852419"]},{"raw_affiliation_string":"School of Mathematical Sciences, Zhejiang University, Hangzhou 310027, China","institution_ids":["https://openalex.org/I76130692"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5031862283"],"corresponding_institution_ids":["https://openalex.org/I76130692"],"apc_list":null,"apc_paid":null,"fwci":2.7863,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":{"value":0.91507322,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"33","issue":"4","first_page":"2509","last_page":"2529"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11181","display_name":"Advanced Data Storage Technologies","score":1.0,"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":1.0,"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":0.9980999827384949,"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/T10772","display_name":"Distributed systems and fault tolerance","score":0.9714999794960022,"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/disjoint-sets","display_name":"Disjoint sets","score":0.7697776556015015},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.621893048286438},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5892109274864197},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5534828901290894},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5506734251976013},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5302196145057678},{"id":"https://openalex.org/keywords/locality","display_name":"Locality","score":0.5202435255050659},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.515461266040802},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.490643173456192},{"id":"https://openalex.org/keywords/binary-code","display_name":"Binary code","score":0.4320935904979706},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.41953229904174805},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2684862017631531},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.11311700940132141},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.108090341091156}],"concepts":[{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.7697776556015015},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.621893048286438},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5892109274864197},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5534828901290894},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5506734251976013},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5302196145057678},{"id":"https://openalex.org/C2779808786","wikidata":"https://www.wikidata.org/wiki/Q6664603","display_name":"Locality","level":2,"score":0.5202435255050659},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.515461266040802},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.490643173456192},{"id":"https://openalex.org/C63435697","wikidata":"https://www.wikidata.org/wiki/Q864135","display_name":"Binary code","level":3,"score":0.4320935904979706},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.41953229904174805},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2684862017631531},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.11311700940132141},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.108090341091156},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"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},{"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:10.1137/19m1248443","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1248443","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Partnerships for the goals","score":0.4399999976158142,"id":"https://metadata.un.org/sdg/17"}],"awards":[{"id":"https://openalex.org/G1391304095","display_name":null,"funder_award_id":"61571310","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G279772721","display_name":null,"funder_award_id":"Grant Nos. 11431003","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3385502538","display_name":null,"funder_award_id":"11971325","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8454121759","display_name":null,"funder_award_id":"11431003","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1511980337","https://openalex.org/W1957362188","https://openalex.org/W1968528796","https://openalex.org/W1993830711","https://openalex.org/W1997044393","https://openalex.org/W2018102393","https://openalex.org/W2031876696","https://openalex.org/W2045753079","https://openalex.org/W2060646539","https://openalex.org/W2084175100","https://openalex.org/W2095418648","https://openalex.org/W2155418912","https://openalex.org/W2189494032","https://openalex.org/W2199251176","https://openalex.org/W2335546159","https://openalex.org/W2440761015","https://openalex.org/W2539671850","https://openalex.org/W2609901020","https://openalex.org/W2611420662","https://openalex.org/W2751464272","https://openalex.org/W2962775071","https://openalex.org/W2963431689","https://openalex.org/W2963754206","https://openalex.org/W3100004208","https://openalex.org/W3103400821","https://openalex.org/W3104191667","https://openalex.org/W3124715992","https://openalex.org/W4236277311","https://openalex.org/W4251454195"],"related_works":["https://openalex.org/W4256429076","https://openalex.org/W1971174658","https://openalex.org/W2099195351","https://openalex.org/W1556451512","https://openalex.org/W1555349535","https://openalex.org/W2348092930","https://openalex.org/W2012063272","https://openalex.org/W3129272755","https://openalex.org/W4234091740","https://openalex.org/W3162204513"],"abstract_inverted_index":{"In":[0,67,186],"recent":[1],"years,":[2],"several":[3,160],"classes":[4],"of":[5,63,90,100,111,130,148,163,218,228,234],"codes":[6,26,222],"have":[7],"been":[8],"introduced":[9],"to":[10,45,51,58,183],"provide":[11],"some":[12,216],"fault-tolerance":[13],"and":[14,107,126,141,144,175,192],"guarantee":[15],"system":[16],"reliability":[17],"in":[18,65,104],"distributed":[19],"storage":[20],"systems,":[21],"among":[22],"which":[23,49,93,178],"locally":[24],"repairable":[25],"(LRCs":[27],"for":[28,86,188,206],"short)":[29],"play":[30],"an":[31,83],"important":[32],"role.":[33],"However,":[34],"most":[35],"known":[36],"constructions":[37,162],"are":[38,62,179],"over":[39],"large":[40],"fields":[41],"with":[42,76,166,181,202],"sizes":[43],"close":[44],"the":[46,52,87,101,112,131,149,232],"code":[47],"length,":[48],"leads":[50],"systems":[53],"being":[54],"computationally":[55],"expensive.":[56],"Due":[57],"this,":[59],"binary":[60,73,164,199,229],"LRCs":[61,75,165,201,230],"interest":[64],"practice.":[66],"this":[68],"paper,":[69],"we":[70,196],"focus":[71],"on":[72,116,135,171],"linear":[74,200],"disjoint":[77,203,235],"repair":[78,204,236],"groups.":[79],"We":[80,157],"first":[81],"derive":[82],"explicit":[84],"bound":[85,227],"dimension":[88],"$k$":[89],"such":[91],"codes,":[92],"can":[94],"be":[95,213],"viewed":[96],"as":[97],"a":[98,225],"generalization":[99],"bounds":[102],"given":[103],"[S.":[105],"Goparaju":[106],"R.":[108],"Calderbank,":[109],"Proceedings":[110,129,147],"IEEE":[113,132,150],"International":[114,133],"Symposium":[115,134],"Information":[117,136,151],"Theory,":[118,137],"2014,":[119],"pp.":[120,139,155],"676--680;":[121],"A.":[122,142],"Wang,":[123],"Z.":[124],"Zhang,":[125],"D.":[127],"Lin,":[128],"2017,":[138],"2033--2037;":[140],"Zeh":[143],"E.":[145],"Yaakobi,":[146],"Theory":[152],"Workshop,":[153],"2015,":[154],"1--5].":[156],"also":[158,223],"give":[159],"new":[161],"minimum":[167,193],"distance":[168,194],"$d=6$":[169],"based":[170],"weakly":[172],"independent":[173],"sets":[174],"partial":[176],"spreads,":[177],"optimal":[180,198],"respect":[182],"our":[184],"bound.":[185],"particular,":[187],"locality":[189],"$r\\in":[190],"\\{2,3\\}$":[191],"$d=6$,":[195],"construct":[197],"groups":[205],"almost":[207],"all":[208],"possible":[209],"parameters.":[210],"It":[211],"should":[212],"emphasized":[214],"that":[215],"subclasses":[217],"these":[219],"newly":[220],"constructed":[221],"attain":[224],"general":[226],"(without":[231],"assumption":[233],"groups).":[237]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}
