{"id":"https://openalex.org/W2505254502","doi":"https://doi.org/10.1109/allerton.2016.7852349","title":"Bounds on the rate of linear locally repairable codes over small alphabets","display_name":"Bounds on the rate of linear locally repairable codes over small alphabets","publication_year":2016,"publication_date":"2016-09-01","ids":{"openalex":"https://openalex.org/W2505254502","doi":"https://doi.org/10.1109/allerton.2016.7852349","mag":"2505254502"},"language":"en","primary_location":{"id":"doi:10.1109/allerton.2016.7852349","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2016.7852349","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 54th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1607.08547","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5012059292","display_name":"Abhishek Agarwal","orcid":"https://orcid.org/0000-0002-0900-6383"},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]},{"id":"https://openalex.org/I4210101327","display_name":"Twin Cities Orthopedics","ror":"https://ror.org/01en4s460","country_code":"US","type":"healthcare","lineage":["https://openalex.org/I4210101327"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Abhishek Agarwal","raw_affiliation_strings":["Department of Electrical & Computer Engineering, University of Minnesota-Twin Cities, Minneapolis, MN","Department of Electrical & Computer Engineering, University of Minnesota - Twin Cities, Minneapolis, 55455, United States"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical & Computer Engineering, University of Minnesota-Twin Cities, Minneapolis, MN","institution_ids":["https://openalex.org/I130238516","https://openalex.org/I4210101327"]},{"raw_affiliation_string":"Department of Electrical & Computer Engineering, University of Minnesota - Twin Cities, Minneapolis, 55455, United States","institution_ids":["https://openalex.org/I130238516","https://openalex.org/I4210101327"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051046818","display_name":"Arya Mazumdar","orcid":"https://orcid.org/0000-0003-4605-7996"},"institutions":[{"id":"https://openalex.org/I177605424","display_name":"Amherst College","ror":"https://ror.org/028vqfs63","country_code":"US","type":"education","lineage":["https://openalex.org/I177605424"]},{"id":"https://openalex.org/I24603500","display_name":"University of Massachusetts Amherst","ror":"https://ror.org/0072zz521","country_code":"US","type":"education","lineage":["https://openalex.org/I24603500"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Arya Mazumdar","raw_affiliation_strings":["College of Information and Computer Sciences, University of Massachusetts Amherst, Amherst, MA","College of Information and Computer Sciences, University of Massachusetts Amherst, 01003, United States"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Information and Computer Sciences, University of Massachusetts Amherst, Amherst, MA","institution_ids":["https://openalex.org/I177605424","https://openalex.org/I24603500"]},{"raw_affiliation_string":"College of Information and Computer Sciences, University of Massachusetts Amherst, 01003, United States","institution_ids":["https://openalex.org/I24603500"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.7575,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.64751656,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"1041","last_page":"1045"},"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":0.9952999949455261,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9829000234603882,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/alphabet","display_name":"Alphabet","score":0.6808224320411682},{"id":"https://openalex.org/keywords/code-word","display_name":"Code word","score":0.6459462642669678},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5150768160820007},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.46564778685569763},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4654702842235565},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4554774761199951},{"id":"https://openalex.org/keywords/distributed-data-store","display_name":"Distributed data store","score":0.4473978281021118},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4458410143852234},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.42242762446403503},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41469353437423706},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.28670746088027954},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.24231120944023132},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.19587436318397522},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.12716954946517944},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06198310852050781}],"concepts":[{"id":"https://openalex.org/C112876837","wikidata":"https://www.wikidata.org/wiki/Q837518","display_name":"Alphabet","level":2,"score":0.6808224320411682},{"id":"https://openalex.org/C153207627","wikidata":"https://www.wikidata.org/wiki/Q863873","display_name":"Code word","level":3,"score":0.6459462642669678},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5150768160820007},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.46564778685569763},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4654702842235565},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4554774761199951},{"id":"https://openalex.org/C24885549","wikidata":"https://www.wikidata.org/wiki/Q339678","display_name":"Distributed data store","level":2,"score":0.4473978281021118},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4458410143852234},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.42242762446403503},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41469353437423706},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.28670746088027954},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.24231120944023132},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.19587436318397522},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.12716954946517944},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06198310852050781},{"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/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},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/allerton.2016.7852349","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2016.7852349","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 54th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1607.08547","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1607.08547","pdf_url":"https://arxiv.org/pdf/1607.08547","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:2505254502","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1607.08547.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1607.08547","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1607.08547","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1607.08547","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1607.08547","pdf_url":"https://arxiv.org/pdf/1607.08547","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2505254502.pdf","grobid_xml":"https://content.openalex.org/works/W2505254502.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W1638607647","https://openalex.org/W1715633553","https://openalex.org/W1902314736","https://openalex.org/W1957362188","https://openalex.org/W1976543297","https://openalex.org/W1993830711","https://openalex.org/W1997044393","https://openalex.org/W2008976700","https://openalex.org/W2022619326","https://openalex.org/W2067422027","https://openalex.org/W2069413306","https://openalex.org/W2109084006","https://openalex.org/W2512839452","https://openalex.org/W2761980362","https://openalex.org/W2963246935","https://openalex.org/W2963754206","https://openalex.org/W2964054932","https://openalex.org/W3103425664"],"related_works":["https://openalex.org/W2962805209","https://openalex.org/W2897836146","https://openalex.org/W3035550532","https://openalex.org/W3103443408","https://openalex.org/W2949469701","https://openalex.org/W3103425664","https://openalex.org/W2996607502","https://openalex.org/W2901950823","https://openalex.org/W2887053791","https://openalex.org/W2227887466","https://openalex.org/W3111701241","https://openalex.org/W2128636284","https://openalex.org/W2617207196","https://openalex.org/W2949734860","https://openalex.org/W1555149635","https://openalex.org/W2952439183","https://openalex.org/W3081454597","https://openalex.org/W2963275264","https://openalex.org/W2991546740","https://openalex.org/W1851556447"],"abstract_inverted_index":{"Locally":[0],"repairable":[1],"codes":[2],"(LRC)":[3],"have":[4],"recently":[5],"been":[6],"a":[7,30,72],"subject":[8],"of":[9,29,68,71],"intense":[10],"research":[11],"due":[12],"to":[13],"the":[14,49,60,66,79],"theoretical":[15],"appeal":[16],"and":[17,85],"their":[18],"application":[19],"in":[20],"distributed":[21],"storage":[22],"systems.":[23],"In":[24,55],"an":[25,76],"LRC,":[26],"any":[27],"coordinate":[28],"codeword":[31],"can":[32],"be":[33],"recovered":[34],"by":[35,83],"accessing":[36],"only":[37],"few":[38],"other":[39],"coordinates.":[40],"For":[41],"LRCs":[42,70],"over":[43,78],"small":[44],"alphabet":[45],"(such":[46],"as":[47],"binary),":[48],"optimal":[50],"rate-distance":[51],"trade-off":[52],"is":[53],"unknown.":[54],"this":[56],"paper":[57],"we":[58],"provide":[59],"tightest":[61],"known":[62,81],"upper":[63],"bound":[64,82],"on":[65],"rate":[67],"linear":[69],"given":[73],"relative":[74],"distance,":[75],"improvement":[77],"best":[80],"Cadambe":[84],"Mazumdar.":[86]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2017-09-15T00:00:00"}
