{"id":"https://openalex.org/W2963677325","doi":"https://doi.org/10.1109/tit.2019.2917425","title":"On the Sub-Packetization Size and the Repair Bandwidth of Reed-Solomon Codes","display_name":"On the Sub-Packetization Size and the Repair Bandwidth of Reed-Solomon Codes","publication_year":2019,"publication_date":"2019-05-17","ids":{"openalex":"https://openalex.org/W2963677325","doi":"https://doi.org/10.1109/tit.2019.2917425","mag":"2963677325"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2019.2917425","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2019.2917425","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/A5100651364","display_name":"Weiqi Li","orcid":"https://orcid.org/0000-0003-1218-0478"},"institutions":[{"id":"https://openalex.org/I204250578","display_name":"University of California, Irvine","ror":"https://ror.org/04gyf1771","country_code":"US","type":"education","lineage":["https://openalex.org/I204250578"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Weiqi Li","raw_affiliation_strings":["Center for Pervasive Communications and Computing, University of California at Irvine, Irvine, CA, USA"],"raw_orcid":"https://orcid.org/0000-0003-1218-0478","affiliations":[{"raw_affiliation_string":"Center for Pervasive Communications and Computing, University of California at Irvine, Irvine, CA, USA","institution_ids":["https://openalex.org/I204250578"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047295889","display_name":"Zhiying Wang","orcid":"https://orcid.org/0000-0003-3339-3085"},"institutions":[{"id":"https://openalex.org/I204250578","display_name":"University of California, Irvine","ror":"https://ror.org/04gyf1771","country_code":"US","type":"education","lineage":["https://openalex.org/I204250578"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zhiying Wang","raw_affiliation_strings":["Center for Pervasive Communications and Computing, University of California at Irvine, Irvine, CA, USA"],"raw_orcid":"https://orcid.org/0000-0003-3339-3085","affiliations":[{"raw_affiliation_string":"Center for Pervasive Communications and Computing, University of California at Irvine, Irvine, CA, USA","institution_ids":["https://openalex.org/I204250578"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089039918","display_name":"Hamid Jafarkhani","orcid":"https://orcid.org/0000-0001-6838-8038"},"institutions":[{"id":"https://openalex.org/I204250578","display_name":"University of California, Irvine","ror":"https://ror.org/04gyf1771","country_code":"US","type":"education","lineage":["https://openalex.org/I204250578"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hamid Jafarkhani","raw_affiliation_strings":["Center for Pervasive Communications and Computing, University of California at Irvine, Irvine, CA, USA"],"raw_orcid":"https://orcid.org/0000-0001-6838-8038","affiliations":[{"raw_affiliation_string":"Center for Pervasive Communications and Computing, University of California at Irvine, Irvine, CA, USA","institution_ids":["https://openalex.org/I204250578"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I204250578"],"apc_list":null,"apc_paid":null,"fwci":2.4949,"has_fulltext":false,"cited_by_count":37,"citation_normalized_percentile":{"value":0.8993125,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"65","issue":"9","first_page":"5484","last_page":"5502"},"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":0.9909999966621399,"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":0.9868000149726868,"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/bandwidth","display_name":"Bandwidth (computing)","score":0.6334600448608398},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.6274647116661072},{"id":"https://openalex.org/keywords/reed\u2013solomon-error-correction","display_name":"Reed\u2013Solomon error correction","score":0.5997289419174194},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5730020999908447},{"id":"https://openalex.org/keywords/field-size","display_name":"Field size","score":0.5346713662147522},{"id":"https://openalex.org/keywords/distributed-data-store","display_name":"Distributed data store","score":0.5322988033294678},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.49642854928970337},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.46925875544548035},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.4625176191329956},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3861154019832611},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3660668730735779},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3380754292011261},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.2596927285194397},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.2569834887981415},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.17862653732299805},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.15301135182380676},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10822951793670654}],"concepts":[{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.6334600448608398},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.6274647116661072},{"id":"https://openalex.org/C78065487","wikidata":"https://www.wikidata.org/wiki/Q1061598","display_name":"Reed\u2013Solomon error correction","level":5,"score":0.5997289419174194},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5730020999908447},{"id":"https://openalex.org/C3019527723","wikidata":"https://www.wikidata.org/wiki/Q260899","display_name":"Field size","level":3,"score":0.5346713662147522},{"id":"https://openalex.org/C24885549","wikidata":"https://www.wikidata.org/wiki/Q339678","display_name":"Distributed data store","level":2,"score":0.5322988033294678},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.49642854928970337},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.46925875544548035},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.4625176191329956},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3861154019832611},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3660668730735779},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3380754292011261},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.2596927285194397},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.2569834887981415},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.17862653732299805},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.15301135182380676},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10822951793670654},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2019.2917425","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2019.2917425","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":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W130792636","https://openalex.org/W330091898","https://openalex.org/W628021441","https://openalex.org/W1537045696","https://openalex.org/W1548687286","https://openalex.org/W1569612250","https://openalex.org/W1606480398","https://openalex.org/W1977073502","https://openalex.org/W1998176833","https://openalex.org/W2069026918","https://openalex.org/W2093712108","https://openalex.org/W2098081605","https://openalex.org/W2105185344","https://openalex.org/W2105695025","https://openalex.org/W2129716147","https://openalex.org/W2138744797","https://openalex.org/W2150777202","https://openalex.org/W2154063365","https://openalex.org/W2337134433","https://openalex.org/W2507181206","https://openalex.org/W2520806426","https://openalex.org/W2577154367","https://openalex.org/W2606114015","https://openalex.org/W2613593521","https://openalex.org/W2621084366","https://openalex.org/W2761730204","https://openalex.org/W2765604633","https://openalex.org/W2789573885","https://openalex.org/W2898024058","https://openalex.org/W2950353718","https://openalex.org/W2962858508","https://openalex.org/W2963000079","https://openalex.org/W2963068825","https://openalex.org/W2963282025","https://openalex.org/W2963361749","https://openalex.org/W2963362241","https://openalex.org/W2963559025","https://openalex.org/W2963781977","https://openalex.org/W3099359379","https://openalex.org/W3101824114","https://openalex.org/W3105184929","https://openalex.org/W3106482607","https://openalex.org/W3107995879","https://openalex.org/W4256264271","https://openalex.org/W6605304400","https://openalex.org/W6611419579","https://openalex.org/W6632200215","https://openalex.org/W6731868995"],"related_works":["https://openalex.org/W1536255868","https://openalex.org/W138212756","https://openalex.org/W1981044165","https://openalex.org/W1981348319","https://openalex.org/W2129166980","https://openalex.org/W2949501833","https://openalex.org/W4287079788","https://openalex.org/W4289655293","https://openalex.org/W2921733688","https://openalex.org/W2783303335"],"abstract_inverted_index":{"Reed-Solomon":[0],"(RS)":[1],"codes":[2,90,104],"are":[3,109],"widely":[4],"used":[5],"in":[6,79,190],"distributed":[7,80],"storage":[8,130],"systems.":[9],"In":[10,159,181,206],"this":[11,160],"paper,":[12,161],"we":[13,162,184,208],"study":[14],"the":[15,30,70,76,86,106,110,115,122,128,139,143,149,153,156,178,199,203],"repair":[16,25,100,123,167,204],"bandwidth":[17,26,74,124],"and":[18,82,96,136,166,202],"sub-packetization":[19,71,116,144,200],"size":[20,117,145,201],"of":[21,32,64,88,152,155,177],"RS":[22,43,89,103],"codes.":[23],"The":[24,42],"is":[27,68,125],"defined":[28],"as":[29,48],"amount":[31],"transmitted":[33],"information":[34],"from":[35],"surviving":[36],"nodes":[37],"to":[38,173,212],"a":[39,49,52,62,99,195],"failed":[40],"node.":[41],"code":[44,164],"can":[45,118],"be":[46,119],"viewed":[47],"polynomial":[50],"over":[51],"finite":[53,112],"field":[54],"GF(q":[55],"<sup":[56],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[57],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">I</sup>":[58],")":[59],"evaluated":[60],"at":[61],"set":[63],"points,":[65],"where":[66],"I":[67,84],"called":[69],"size.":[72],"Smaller":[73],"reduces":[75],"network":[77],"traffic":[78],"storage,":[81],"smaller":[83],"facilitates":[85],"implementation":[87],"with":[91],"lower":[92],"complexity.":[93],"Recently,":[94],"Guruswami":[95],"Wootters":[97],"proposed":[98],"method":[101],"for":[102],"when":[105],"evaluation":[107,157,179],"points":[108,189],"entire":[111],"field.":[113],"While":[114],"arbitrarily":[120],"small,":[121],"higher":[126],"than":[127,148],"minimum":[129],"regenerating":[131],"(MSR)":[132],"bound.":[133],"Tamo,":[134],"Ye,":[135],"Barg":[137],"achieved":[138],"MSR":[140],"bound":[141],"but":[142],"grows":[146],"faster":[147],"exponential":[150],"function":[151],"number":[154],"points.":[158,180],"present":[163],"constructions":[165],"schemes":[168,186,193,211],"that":[169,187],"extend":[170],"these":[171],"results":[172],"accommodate":[174],"different":[175],"sizes":[176],"other":[182],"words,":[183],"design":[185],"provide":[188,194],"between.":[191],"These":[192],"flexible":[196],"tradeoff":[197],"between":[198],"bandwidth.":[205],"addition,":[207],"generalize":[209],"our":[210],"manage":[213],"multiple":[214],"failures.":[215]},"counts_by_year":[{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":10},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1}],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2025-10-10T00:00:00"}
