{"id":"https://openalex.org/W2963335355","doi":"https://doi.org/10.1109/isit.2017.8006835","title":"A tight rate bound and a matching construction for locally recoverable codes with sequential recovery from any number of multiple erasures","display_name":"A tight rate bound and a matching construction for locally recoverable codes with sequential recovery from any number of multiple erasures","publication_year":2017,"publication_date":"2017-06-01","ids":{"openalex":"https://openalex.org/W2963335355","doi":"https://doi.org/10.1109/isit.2017.8006835","mag":"2963335355"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2017.8006835","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2017.8006835","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 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/A5111813079","display_name":"S. B. Balaji","orcid":null},"institutions":[{"id":"https://openalex.org/I59270414","display_name":"Indian Institute of Science Bangalore","ror":"https://ror.org/04dese585","country_code":"IN","type":"education","lineage":["https://openalex.org/I59270414"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"S. B. Balaji","raw_affiliation_strings":["Department of Electrical Communication Engineering, Indian Institute of Science, Bangalore"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Communication Engineering, Indian Institute of Science, Bangalore","institution_ids":["https://openalex.org/I59270414"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044756487","display_name":"Ganesh Ramachandra Kini","orcid":"https://orcid.org/0000-0003-1175-9226"},"institutions":[{"id":"https://openalex.org/I59270414","display_name":"Indian Institute of Science Bangalore","ror":"https://ror.org/04dese585","country_code":"IN","type":"education","lineage":["https://openalex.org/I59270414"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Ganesh R. Kini","raw_affiliation_strings":["Department of Electrical Communication Engineering, Indian Institute of Science, Bangalore"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Communication Engineering, Indian Institute of Science, Bangalore","institution_ids":["https://openalex.org/I59270414"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000294837","display_name":"P. Vijay Kumar","orcid":"https://orcid.org/0000-0003-0990-2847"},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]},{"id":"https://openalex.org/I2800817003","display_name":"Southern California University for Professional Studies","ror":"https://ror.org/058zz0t50","country_code":"US","type":"education","lineage":["https://openalex.org/I2800817003"]},{"id":"https://openalex.org/I59270414","display_name":"Indian Institute of Science Bangalore","ror":"https://ror.org/04dese585","country_code":"IN","type":"education","lineage":["https://openalex.org/I59270414"]}],"countries":["IN","US"],"is_corresponding":false,"raw_author_name":"P. Vijay Kumar","raw_affiliation_strings":["Department of Electrical Communication Engineering, Indian Institute of Science, Bangalore","University of Southern California"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Communication Engineering, Indian Institute of Science, Bangalore","institution_ids":["https://openalex.org/I59270414"]},{"raw_affiliation_string":"University of Southern California","institution_ids":["https://openalex.org/I2800817003","https://openalex.org/I1174212"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5111813079"],"corresponding_institution_ids":["https://openalex.org/I59270414"],"apc_list":null,"apc_paid":null,"fwci":2.072,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.89345721,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"1778","last_page":"1782"},"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/T12162","display_name":"Cellular Automata and Applications","score":0.9761999845504761,"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"}},{"id":"https://openalex.org/T11478","display_name":"Caching and Content Delivery","score":0.9746999740600586,"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/code-word","display_name":"Code word","score":0.6957314610481262},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.6200466156005859},{"id":"https://openalex.org/keywords/locality","display_name":"Locality","score":0.6023743152618408},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5854626893997192},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5122804045677185},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5069546699523926},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.49088889360427856},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48747897148132324},{"id":"https://openalex.org/keywords/code-rate","display_name":"Code rate","score":0.4748837351799011},{"id":"https://openalex.org/keywords/erasure-code","display_name":"Erasure code","score":0.45974475145339966},{"id":"https://openalex.org/keywords/prefix-code","display_name":"Prefix code","score":0.45452821254730225},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.44951462745666504},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.44899222254753113},{"id":"https://openalex.org/keywords/constant-weight-code","display_name":"Constant-weight code","score":0.4481210708618164},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4462265074253082},{"id":"https://openalex.org/keywords/erasure","display_name":"Erasure","score":0.43852055072784424},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.4189276695251465},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.39170631766319275},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3753815293312073},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.3273698091506958},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.28428953886032104},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.27241092920303345},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.21664080023765564},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09098401665687561}],"concepts":[{"id":"https://openalex.org/C153207627","wikidata":"https://www.wikidata.org/wiki/Q863873","display_name":"Code word","level":3,"score":0.6957314610481262},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.6200466156005859},{"id":"https://openalex.org/C2779808786","wikidata":"https://www.wikidata.org/wiki/Q6664603","display_name":"Locality","level":2,"score":0.6023743152618408},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5854626893997192},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5122804045677185},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5069546699523926},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.49088889360427856},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48747897148132324},{"id":"https://openalex.org/C206468330","wikidata":"https://www.wikidata.org/wiki/Q834373","display_name":"Code rate","level":3,"score":0.4748837351799011},{"id":"https://openalex.org/C137529215","wikidata":"https://www.wikidata.org/wiki/Q5385031","display_name":"Erasure code","level":3,"score":0.45974475145339966},{"id":"https://openalex.org/C20079647","wikidata":"https://www.wikidata.org/wiki/Q1278039","display_name":"Prefix code","level":5,"score":0.45452821254730225},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.44951462745666504},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.44899222254753113},{"id":"https://openalex.org/C197242373","wikidata":"https://www.wikidata.org/wiki/Q5163613","display_name":"Constant-weight code","level":5,"score":0.4481210708618164},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4462265074253082},{"id":"https://openalex.org/C2778790127","wikidata":"https://www.wikidata.org/wiki/Q484885","display_name":"Erasure","level":2,"score":0.43852055072784424},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.4189276695251465},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39170631766319275},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3753815293312073},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.3273698091506958},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.28428953886032104},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.27241092920303345},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.21664080023765564},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09098401665687561},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit.2017.8006835","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2017.8006835","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1715633553","https://openalex.org/W1969158823","https://openalex.org/W1993830711","https://openalex.org/W1995147907","https://openalex.org/W1997044393","https://openalex.org/W2018102393","https://openalex.org/W2037127812","https://openalex.org/W2050413942","https://openalex.org/W2050500290","https://openalex.org/W2051411864","https://openalex.org/W2073529360","https://openalex.org/W2080339104","https://openalex.org/W2099837838","https://openalex.org/W2126067205","https://openalex.org/W2155418912","https://openalex.org/W2170681444","https://openalex.org/W2249486791","https://openalex.org/W2259436656","https://openalex.org/W2473458418","https://openalex.org/W2539671850","https://openalex.org/W2580476827","https://openalex.org/W2963335355","https://openalex.org/W2963372728","https://openalex.org/W3100004208","https://openalex.org/W3104191667","https://openalex.org/W3104411294","https://openalex.org/W3104733961","https://openalex.org/W6678581137","https://openalex.org/W6731813352"],"related_works":["https://openalex.org/W2497702133","https://openalex.org/W2364553736","https://openalex.org/W2887855805","https://openalex.org/W2048714908","https://openalex.org/W1484537328","https://openalex.org/W2083241867","https://openalex.org/W2363582660","https://openalex.org/W2157678969","https://openalex.org/W2164777066","https://openalex.org/W2011262275"],"abstract_inverted_index":{"An":[0,43],"[n,":[1,44],"fc]":[2],"code":[3,28,41,46,54,94,113,188],"C":[4,31],"is":[5,47,71,86,97,162,179,189,200],"said":[6,48],"to":[7,49,99,171],"be":[8,33,50],"locally":[9,52],"recoverable":[10,53],"in":[11,77],"the":[12,26,100,111,120,126,138,159,177,183,187],"presence":[13],"of":[14,25,30,65,106,122,125,140,147,149,158,182,194,207],"a":[15,51,82,115,133,142,191],"single":[16,83],"erasure,":[17],"and":[18,152,174,209],"with":[19,55],"locality":[20,160],"parameter":[21,161],"r,":[22],"if":[23,61],"each":[24,80],"n":[27],"symbols":[29],"can":[32],"recovered":[34,87],"by":[35,88],"accessing":[36,89],"at":[37,79,90],"most":[38,91],"r":[39,92,155,212],"other":[40,93],"symbols.":[42,95,129],"k]":[45],"sequential":[56,74],"recovery":[57,75],"from":[58],"t":[59,68,109,151,208],"erasures,":[60,69,110],"for":[62,103,144,204],"any":[63,104,145,153,205,210],"set":[64,105],"s":[66,107,127],"\u2264":[67,108],"there":[70],"an":[72,167],"s-step":[73],"process,":[76],"which":[78,186],"step,":[81],"erased":[84,128],"symbol":[85],"This":[96,164],"equivalent":[98],"requirement":[101],"that":[102,197],"dual":[112],"contain":[114],"codeword":[116],"whose":[117],"support":[118],"contains":[119],"coordinate":[121],"precisely":[123],"one":[124],"In":[130],"this":[131],"paper,":[132],"tight":[134],"upper":[135],"bound":[136,165,178],"on":[137],"rate":[139],"such":[141],"code,":[143],"value":[146,154,206,211],"number":[148],"erasures":[150],"\u2265":[156,213],"3,":[157],"derived.":[163],"proves":[166],"earlier":[168],"conjecture":[169],"due":[170],"Song,":[172],"Cai":[173],"Yuen.":[175],"While":[176],"valid":[180],"irrespective":[181],"field":[184],"over":[185],"defined,":[190],"matching":[192],"construction":[193],"binary":[195],"codes":[196],"are":[198],"rate-optimal":[199],"also":[201],"provided,":[202],"again":[203],"3.":[214]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
