{"id":"https://openalex.org/W2897496828","doi":"https://doi.org/10.1109/tit.2019.2954409","title":"Error Correction Based on Partial Information","display_name":"Error Correction Based on Partial Information","publication_year":2019,"publication_date":"2019-11-19","ids":{"openalex":"https://openalex.org/W2897496828","doi":"https://doi.org/10.1109/tit.2019.2954409","mag":"2897496828"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2019.2954409","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2019.2954409","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":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1701.06969","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5085150941","display_name":"Itzhak Tamo","orcid":"https://orcid.org/0000-0002-8000-0419"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Itzhak Tamo","raw_affiliation_strings":["Tel Aviv University, Tel Aviv, Israel","[Department of EE \u2013 Systems, Tel Aviv University, Tel Aviv, Israel]"],"raw_orcid":"https://orcid.org/0000-0002-8000-0419","affiliations":[{"raw_affiliation_string":"Tel Aviv University, Tel Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"[Department of EE \u2013 Systems, Tel Aviv University, Tel Aviv, Israel]","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100725244","display_name":"Min Ye","orcid":"https://orcid.org/0000-0003-1351-8880"},"institutions":[{"id":"https://openalex.org/I4210114105","display_name":"Tsinghua\u2013Berkeley Shenzhen Institute","ror":"https://ror.org/02hhwwz98","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210114105","https://openalex.org/I95457486","https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Min Ye","raw_affiliation_strings":["Data Science and Information Technology Research Center, Tsinghua-Berkeley Shenzhen Institute, Shenzhen, China","Data Science and Information Technology Research Center, Tsinghua-Berkeley Shenzhen Institute, Shenzhen (China)"],"raw_orcid":"https://orcid.org/0000-0003-1351-8880","affiliations":[{"raw_affiliation_string":"Data Science and Information Technology Research Center, Tsinghua-Berkeley Shenzhen Institute, Shenzhen, China","institution_ids":["https://openalex.org/I4210114105"]},{"raw_affiliation_string":"Data Science and Information Technology Research Center, Tsinghua-Berkeley Shenzhen Institute, Shenzhen (China)","institution_ids":["https://openalex.org/I4210114105"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004622357","display_name":"Alexander Barg","orcid":"https://orcid.org/0000-0002-8972-4413"},"institutions":[{"id":"https://openalex.org/I1313323035","display_name":"Russian Academy of Sciences","ror":"https://ror.org/05qrfxd25","country_code":"RU","type":"government","lineage":["https://openalex.org/I1313323035"]},{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["RU","US"],"is_corresponding":false,"raw_author_name":"Alexander Barg","raw_affiliation_strings":["IITP, Russian Academy of Sciences, Moscow, Russia","University of Maryland, College Park, USA","Dept. of ECE & ISR, Univ. of Maryland, College Park, MD, USA"],"raw_orcid":"https://orcid.org/0000-0002-8972-4413","affiliations":[{"raw_affiliation_string":"IITP, Russian Academy of Sciences, Moscow, Russia","institution_ids":["https://openalex.org/I1313323035"]},{"raw_affiliation_string":"University of Maryland, College Park, USA","institution_ids":["https://openalex.org/I66946132"]},{"raw_affiliation_string":"Dept. of ECE & ISR, Univ. of Maryland, College Park, MD, USA","institution_ids":["https://openalex.org/I66946132"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0086429,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"66","issue":"3","first_page":"1396","last_page":"1404"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11181","display_name":"Advanced Data Storage Technologies","score":0.9998000264167786,"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":0.9998000264167786,"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/T11130","display_name":"Coding theory and cryptography","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.998199999332428,"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":0.9276635050773621},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.6823521852493286},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.6352264285087585},{"id":"https://openalex.org/keywords/parity-check-matrix","display_name":"Parity-check matrix","score":0.5750686526298523},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.48250246047973633},{"id":"https://openalex.org/keywords/alpha","display_name":"Alpha (finance)","score":0.4577843248844147},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.44264334440231323},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43443387746810913},{"id":"https://openalex.org/keywords/list-decoding","display_name":"List decoding","score":0.4139992594718933},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38462162017822266},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37368810176849365},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.31686121225357056},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.1493121087551117},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.13099589943885803},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.127423495054245},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11195385456085205}],"concepts":[{"id":"https://openalex.org/C153207627","wikidata":"https://www.wikidata.org/wiki/Q863873","display_name":"Code word","level":3,"score":0.9276635050773621},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.6823521852493286},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.6352264285087585},{"id":"https://openalex.org/C95925971","wikidata":"https://www.wikidata.org/wiki/Q3100414","display_name":"Parity-check matrix","level":4,"score":0.5750686526298523},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.48250246047973633},{"id":"https://openalex.org/C64943373","wikidata":"https://www.wikidata.org/wiki/Q2651003","display_name":"Alpha (finance)","level":4,"score":0.4577843248844147},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44264334440231323},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43443387746810913},{"id":"https://openalex.org/C204397858","wikidata":"https://www.wikidata.org/wiki/Q4437907","display_name":"List decoding","level":5,"score":0.4139992594718933},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38462162017822266},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37368810176849365},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.31686121225357056},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.1493121087551117},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.13099589943885803},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.127423495054245},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11195385456085205},{"id":"https://openalex.org/C49453240","wikidata":"https://www.wikidata.org/wiki/Q1592163","display_name":"Construct validity","level":3,"score":0.0},{"id":"https://openalex.org/C171606756","wikidata":"https://www.wikidata.org/wiki/Q506132","display_name":"Psychometrics","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}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/tit.2019.2954409","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2019.2954409","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"},{"id":"pmh:oai:arXiv.org:1701.06969","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1701.06969","pdf_url":"https://arxiv.org/pdf/1701.06969","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":"","raw_type":"text"},{"id":"mag:2897496828","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1701.06969.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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.1701.06969","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1701.06969","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1701.06969","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1701.06969","pdf_url":"https://arxiv.org/pdf/1701.06969","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2877989186","display_name":null,"funder_award_id":"1030/15","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"},{"id":"https://openalex.org/G5417119973","display_name":null,"funder_award_id":"CCF1422955","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5757675735","display_name":null,"funder_award_id":"CCF1814487","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6196167047","display_name":null,"funder_award_id":"CCF1618603","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8246453351","display_name":null,"funder_award_id":"2015814","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320322252","display_name":"Israel Science Foundation","ror":"https://ror.org/04sazxf24"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1976052006","https://openalex.org/W2068593329","https://openalex.org/W2069026918","https://openalex.org/W2105185344","https://openalex.org/W2114981480","https://openalex.org/W2132376394","https://openalex.org/W2146078064","https://openalex.org/W2150777202","https://openalex.org/W2396495661","https://openalex.org/W2507181206","https://openalex.org/W2580885928","https://openalex.org/W2613593521","https://openalex.org/W2621084366","https://openalex.org/W2796225713","https://openalex.org/W2803072856","https://openalex.org/W2902882503","https://openalex.org/W2950891324","https://openalex.org/W2962798318","https://openalex.org/W2962858508","https://openalex.org/W2963289406","https://openalex.org/W2963754880","https://openalex.org/W2963781977","https://openalex.org/W2976266965","https://openalex.org/W3101824114","https://openalex.org/W3106482607","https://openalex.org/W6683621135"],"related_works":["https://openalex.org/W2580885928","https://openalex.org/W2185904666","https://openalex.org/W2159359056","https://openalex.org/W2590696935","https://openalex.org/W2952790210","https://openalex.org/W2950254340","https://openalex.org/W2401008920","https://openalex.org/W2595984266","https://openalex.org/W2964553890","https://openalex.org/W2964682128","https://openalex.org/W2966264565","https://openalex.org/W2466553649","https://openalex.org/W2112594645","https://openalex.org/W746242326","https://openalex.org/W2123606238","https://openalex.org/W2054766825","https://openalex.org/W1966487673","https://openalex.org/W2794448055","https://openalex.org/W2158541565","https://openalex.org/W1666751932"],"abstract_inverted_index":{"We":[0,57,212,239,261],"consider":[1],"the":[2,21,49,61,66,73,85,108,112,127,161,185,191,210,233,258,274,278,284,291],"decoding":[3,101,221,250],"of":[4,20,48,84,116,126,160,194,209,216,223,257,266,280,290],"linear":[5],"and":[6,42,99,188,220,232],"array":[7],"codes":[8,136,231,268],"from":[9,111,139,158,174],"errors":[10,195,282],"when":[11,252,283],"we":[12,27,77,105,148,151],"are":[13],"only":[14,79,205,254],"allowed":[15],"to":[16,59,95,122],"download":[17,80,154],"a":[18,70,89,97,100,165,255],"part":[19,256],"codeword.":[22,87,128,211,260,293],"More":[23],"specifically,":[24],"suppose":[25],"that":[26,104,150,196,242,269],"have":[28],"encoded":[29],"k":[30],"data":[31,63,110],"symbols":[32],"using":[33],"an":[34,81,155,197,206,264,287],"(n,":[35,198],"k)":[36,199],"code":[37,39,98,200,244],"with":[38,69,134,270],"length":[40],"n":[41],"dimension":[43],"k.":[44],"During":[45],"storage,":[46],"some":[47],"codeword":[50,68],"coordinates":[51,125],"might":[52],"be":[53],"corrupted":[54,67,86,259,292],"by":[55,64,203],"errors.":[56,117,144],"aim":[58],"recover":[60,107],"original":[62,109],"reading":[65],"limit":[71],"on":[72,228,235,277],"transmission":[74],"bandwidth,":[75],"namely,":[76],"can":[78,106,152,171,201],"\u03b1":[82,156,207,288],"proportion":[83,157,208,289],"For":[88,164],"given":[90],"\u03b1,":[91],"our":[92],"objective":[93],"is":[94,121,180,189,226],"design":[96],"scheme":[102,120],"such":[103,217],"largest":[113],"possible":[114],"number":[115,193,279],"A":[118],"naive":[119,186],"read":[123],"\u03b1n":[124],"This":[129],"method":[130,170],"used":[131],"in":[132],"conjunction":[133],"MDS":[135,167],"guarantees":[137],"recovery":[138,173],"any":[140],"\u230a(\u03b1n":[141],"-":[142,176],"k)/2\u230b":[143],"In":[145],"this":[146,169],"paper":[147],"show":[149,241],"instead":[153],"each":[159],"codeword's":[162],"coordinates.":[163],"well-designed":[166],"code,":[168],"guarantee":[172],"\u230a(n":[175],"k/\u03b1)/2\u230b":[177],"errors,":[178],"which":[179,224],"1/\u03b1":[181],"times":[182],"more":[183],"than":[184],"method,":[187],"also":[190,262],"maximum":[192],"correct":[202],"downloading":[204,253],"present":[213],"two":[214],"families":[215],"optimal":[218,248],"constructions":[219,245],"schemes":[222],"one":[225],"based":[227],"Interleaved":[229],"Reed-Solomon":[230,237],"other":[234],"Folded":[236],"codes.":[238],"further":[240],"both":[243],"attain":[246],"asymptotically":[247],"list":[249],"radius":[251],"construct":[263],"ensemble":[265],"random":[267],"high":[271],"probability":[272],"approaches":[273],"upper":[275],"bound":[276],"correctable":[281],"decoder":[285],"downloads":[286]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}