{"id":"https://openalex.org/W4386066455","doi":"https://doi.org/10.1109/isit54713.2023.10206554","title":"A construction of Maximally Recoverable LRCs for small number of local groups","display_name":"A construction of Maximally Recoverable LRCs for small number of local groups","publication_year":2023,"publication_date":"2023-06-25","ids":{"openalex":"https://openalex.org/W4386066455","doi":"https://doi.org/10.1109/isit54713.2023.10206554"},"language":"en","primary_location":{"id":"doi:10.1109/isit54713.2023.10206554","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit54713.2023.10206554","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 IEEE International Symposium on Information Theory (ISIT)","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/A5034730963","display_name":"Manik Dhar","orcid":null},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Manik Dhar","raw_affiliation_strings":["Princeton University,Department of Computer Science","Department of Computer Science, Princeton University"],"affiliations":[{"raw_affiliation_string":"Princeton University,Department of Computer Science","institution_ids":["https://openalex.org/I20089843"]},{"raw_affiliation_string":"Department of Computer Science, Princeton University","institution_ids":["https://openalex.org/I20089843"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038687630","display_name":"Sivakanth Gopi","orcid":"https://orcid.org/0000-0001-9706-4171"},"institutions":[{"id":"https://openalex.org/I4210164937","display_name":"Microsoft Research (United Kingdom)","ror":"https://ror.org/05k87vq12","country_code":"GB","type":"company","lineage":["https://openalex.org/I1290206253","https://openalex.org/I4210164937"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Sivakanth Gopi","raw_affiliation_strings":["Microsoft Research"],"affiliations":[{"raw_affiliation_string":"Microsoft Research","institution_ids":["https://openalex.org/I4210164937"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5034730963"],"corresponding_institution_ids":["https://openalex.org/I20089843"],"apc_list":null,"apc_paid":null,"fwci":0.4012,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.60983064,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"1753","last_page":"1757"},"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":0.9955999851226807,"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":0.9732999801635742,"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/redundancy","display_name":"Redundancy (engineering)","score":0.7031435370445251},{"id":"https://openalex.org/keywords/locality","display_name":"Locality","score":0.671270489692688},{"id":"https://openalex.org/keywords/parity","display_name":"Parity (physics)","score":0.5316565632820129},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.4870453178882599},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4520041346549988},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4260214567184448},{"id":"https://openalex.org/keywords/field-size","display_name":"Field size","score":0.425091028213501},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.42262959480285645},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4159574806690216},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39754047989845276},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35523539781570435},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14671170711517334}],"concepts":[{"id":"https://openalex.org/C152124472","wikidata":"https://www.wikidata.org/wiki/Q1204361","display_name":"Redundancy (engineering)","level":2,"score":0.7031435370445251},{"id":"https://openalex.org/C2779808786","wikidata":"https://www.wikidata.org/wiki/Q6664603","display_name":"Locality","level":2,"score":0.671270489692688},{"id":"https://openalex.org/C2777151079","wikidata":"https://www.wikidata.org/wiki/Q141160","display_name":"Parity (physics)","level":2,"score":0.5316565632820129},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.4870453178882599},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4520041346549988},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4260214567184448},{"id":"https://openalex.org/C3019527723","wikidata":"https://www.wikidata.org/wiki/Q260899","display_name":"Field size","level":3,"score":0.425091028213501},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.42262959480285645},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4159574806690216},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39754047989845276},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35523539781570435},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14671170711517334},{"id":"https://openalex.org/C109214941","wikidata":"https://www.wikidata.org/wiki/Q18334","display_name":"Particle physics","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/C104293457","wikidata":"https://www.wikidata.org/wiki/Q28324852","display_name":"Imaging phantom","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},{"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/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit54713.2023.10206554","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit54713.2023.10206554","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W154253821","https://openalex.org/W1629889498","https://openalex.org/W1993830711","https://openalex.org/W2006989139","https://openalex.org/W2010024611","https://openalex.org/W2022619326","https://openalex.org/W2060646539","https://openalex.org/W2124961791","https://openalex.org/W2333324284","https://openalex.org/W2908383142","https://openalex.org/W2956089011","https://openalex.org/W2964326991","https://openalex.org/W2964892028","https://openalex.org/W3111701241","https://openalex.org/W3136350169","https://openalex.org/W3206422952","https://openalex.org/W4213145874","https://openalex.org/W4291999168","https://openalex.org/W4312319268","https://openalex.org/W6606324823","https://openalex.org/W6847772196"],"related_works":["https://openalex.org/W1556451512","https://openalex.org/W1555349535","https://openalex.org/W4234091740","https://openalex.org/W4213350282","https://openalex.org/W2230171082","https://openalex.org/W2583128298","https://openalex.org/W2022275305","https://openalex.org/W2369125128","https://openalex.org/W2134423494","https://openalex.org/W1586728173"],"abstract_inverted_index":{"Maximally":[0],"Recoverable":[1],"Local":[2],"Reconstruction":[3],"Codes":[4],"(MR":[5],"LRCs)":[6],"are":[7,59,144],"codes":[8],"designed":[9],"for":[10,19],"distributed":[11],"storage":[12,24],"to":[13,17],"provide":[14],"maximum":[15],"resilience":[16],"failures":[18],"a":[20,67,106,127,145],"given":[21],"amount":[22],"of":[23,43,82,109,117,129,139,148,157],"redundancy":[25],"and":[26,57,77,96,131],"locality.":[27],"An":[28],"(n,":[29,110],"r,":[30,111],"h,":[31,112],"a,":[32,113],"g)-MR":[33],"LRC":[34],"has":[35,52],"n":[36],"coordinates":[37],"divided":[38],"into":[39],"g":[40],"local":[41,50,54,75,149],"groups":[42],"size":[44,92,118],"r":[45],"=":[46,120],"n/g,":[47],"where":[48],"each":[49,74],"group":[51,76],"\u2018a\u2019":[53,71],"parity":[55,64],"checks":[56],"there":[58,143],"an":[60],"additional":[61,79],"\u2018h\u2019":[62],"global":[63],"checks.":[65],"Such":[66],"code":[68],"can":[69],"correct":[70],"erasures":[72],"in":[73,99,154],"any":[78],"erasures.":[80],"Constructions":[81],"MR":[83,158],"LRCs":[84],"over":[85,115],"small":[86,146],"fields":[87,116],"is":[88,152],"desirable":[89],"since":[90],"field":[91],"determines":[93],"the":[94,140],"encoding":[95],"decoding":[97],"efficiency":[98],"practice.":[100],"In":[101],"this":[102],"work,":[103],"we":[104],"give":[105],"new":[107],"construction":[108,128],"g)-MR-LRCs":[114],"q":[119],"O(n)":[121],"<sup":[122],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[123],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">h+(g\u22121)a\u2212\u2308h/g\u2309</sup>":[124],"which":[125,151],"generalizes":[126],"Hu":[130],"Yekhanin":[132],"(ISIT":[133],"2016).":[134],"This":[135],"improves":[136],"upon":[137],"state":[138],"art":[141],"when":[142],"number":[147],"groups,":[150],"true":[153],"practical":[155],"deployments":[156],"LRCs.":[159]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
