{"id":"https://openalex.org/W1993830711","doi":"https://doi.org/10.1109/tit.2012.2208937","title":"On the Locality of Codeword Symbols","display_name":"On the Locality of Codeword Symbols","publication_year":2012,"publication_date":"2012-08-03","ids":{"openalex":"https://openalex.org/W1993830711","doi":"https://doi.org/10.1109/tit.2012.2208937","mag":"1993830711"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2012.2208937","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2012.2208937","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/A5036468719","display_name":"Parikshit Gopalan","orcid":null},"institutions":[{"id":"https://openalex.org/I1290206253","display_name":"Microsoft (United States)","ror":"https://ror.org/00d0nc645","country_code":"US","type":"company","lineage":["https://openalex.org/I1290206253"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Parikshit Gopalan","raw_affiliation_strings":["Microsoft Corporation, Redmond, WA, USA","Microsoft Corporation Redmond,WA,USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Microsoft Corporation, Redmond, WA, USA","institution_ids":["https://openalex.org/I1290206253"]},{"raw_affiliation_string":"Microsoft Corporation Redmond,WA,USA","institution_ids":["https://openalex.org/I1290206253"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038498019","display_name":"Cheng Huang","orcid":"https://orcid.org/0000-0003-3769-7211"},"institutions":[{"id":"https://openalex.org/I1290206253","display_name":"Microsoft (United States)","ror":"https://ror.org/00d0nc645","country_code":"US","type":"company","lineage":["https://openalex.org/I1290206253"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Cheng Huang","raw_affiliation_strings":["Microsoft Corporation, Redmond, WA, USA","Microsoft Corporation Redmond,WA,USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Microsoft Corporation, Redmond, WA, USA","institution_ids":["https://openalex.org/I1290206253"]},{"raw_affiliation_string":"Microsoft Corporation Redmond,WA,USA","institution_ids":["https://openalex.org/I1290206253"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012655011","display_name":"Huseyin Simitci","orcid":null},"institutions":[{"id":"https://openalex.org/I1290206253","display_name":"Microsoft (United States)","ror":"https://ror.org/00d0nc645","country_code":"US","type":"company","lineage":["https://openalex.org/I1290206253"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Huseyin Simitci","raw_affiliation_strings":["Microsoft Corporation, Redmond, WA, USA","Microsoft Corporation Redmond,WA,USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Microsoft Corporation, Redmond, WA, USA","institution_ids":["https://openalex.org/I1290206253"]},{"raw_affiliation_string":"Microsoft Corporation Redmond,WA,USA","institution_ids":["https://openalex.org/I1290206253"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046685409","display_name":"Sergey Yekhanin","orcid":null},"institutions":[{"id":"https://openalex.org/I1290206253","display_name":"Microsoft (United States)","ror":"https://ror.org/00d0nc645","country_code":"US","type":"company","lineage":["https://openalex.org/I1290206253"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sergey Yekhanin","raw_affiliation_strings":["Microsoft Corporation, Redmond, WA, USA","Microsoft Corporation Redmond,WA,USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Microsoft Corporation, Redmond, WA, USA","institution_ids":["https://openalex.org/I1290206253"]},{"raw_affiliation_string":"Microsoft Corporation Redmond,WA,USA","institution_ids":["https://openalex.org/I1290206253"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I1290206253"],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":63.1685,"has_fulltext":false,"cited_by_count":881,"citation_normalized_percentile":{"value":0.99960648,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"58","issue":"11","first_page":"6925","last_page":"6934"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11181","display_name":"Advanced Data Storage Technologies","score":0.9983999729156494,"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":0.9983999729156494,"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/T12029","display_name":"DNA and Biological Computing","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9980000257492065,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/locality","display_name":"Locality","score":0.434325635433197},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4163261353969574},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.16509971022605896}],"concepts":[{"id":"https://openalex.org/C2779808786","wikidata":"https://www.wikidata.org/wiki/Q6664603","display_name":"Locality","level":2,"score":0.434325635433197},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4163261353969574},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.16509971022605896},{"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/tit.2012.2208937","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2012.2208937","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W154253821","https://openalex.org/W1574372628","https://openalex.org/W1674001282","https://openalex.org/W1967703498","https://openalex.org/W1972418857","https://openalex.org/W1991499930","https://openalex.org/W1998698985","https://openalex.org/W2010024611","https://openalex.org/W2021999231","https://openalex.org/W2058863419","https://openalex.org/W2099837838","https://openalex.org/W2102801247","https://openalex.org/W2105185344","https://openalex.org/W2140328402","https://openalex.org/W2141222886","https://openalex.org/W2150777202","https://openalex.org/W2242452602","https://openalex.org/W3106482607","https://openalex.org/W4229606576","https://openalex.org/W4292717601","https://openalex.org/W6606324823","https://openalex.org/W6661770615"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W1555349535","https://openalex.org/W1556451512","https://openalex.org/W2390279801","https://openalex.org/W1971913216","https://openalex.org/W4234091740","https://openalex.org/W4213350282","https://openalex.org/W2358668433","https://openalex.org/W2886384632"],"abstract_inverted_index":{"Consider":[0],"a":[1,63,108,151,165,176],"linear":[2],"[n,k,d]qcodeC.":[3],"We":[4,61,82,91,126,171],"say":[5],"that":[6,173],"theith":[7],"coordinate":[8,16],"ofChas":[9],"localityr,":[10],"if":[11],"the":[12,56,67,71,74,77,87,113,129,155,183,189],"value":[13],"at":[14],"this":[15,47],"can":[17],"be":[18],"recovered":[19],"from":[20],"accessing":[21],"some":[22,93],"otherrcoordinates":[23],"ofC.":[24],"Data":[25],"storage":[26],"applications":[27],"require":[28],"codes":[29,85,163],"with":[30],"small":[31,104],"redundancy,":[32],"low":[33,41],"locality":[34,42,78,122,130,156,181],"for":[35,43,66,103,142,154,164],"information":[36,80,124],"coordinates,":[37],"large":[38],"distance,":[39,75,120],"and":[40,76,121,135,182],"parity":[44,132,158],"coordinates.":[45,81],"In":[46],"paper,":[48],"we":[49,149],"carry":[50],"out":[51],"an":[52],"in-depth":[53],"study":[54],"of":[55,70,79,112,123,131,157,168],"relations":[57],"between":[58,115,178],"these":[59],"parameters.":[60],"establish":[62],"tight":[64,152],"bound":[65,88,153],"redundancyn-kin":[68],"terms":[69],"message":[72],"length,":[73,117],"refer":[83],"to":[84,185],"attaining":[86],"as":[89],"optimal.":[90],"prove":[92,172],"structure":[94,147],"theorems":[95],"about":[96],"optimal":[97,143],"codes,":[98],"which":[99],"are":[100],"particularly":[101],"strong":[102],"distances.":[105],"This":[106],"gives":[107],"fairly":[109],"complete":[110],"picture":[111],"tradeoffs":[114],"codewords":[116],"worst":[118,139],"case":[119,140],"symbols.":[125],"then":[127],"consider":[128],"check":[133],"symbols":[134,159],"erasure":[136],"correction":[137],"beyond":[138,188],"distance":[141],"codes.":[144],"Using":[145],"our":[146],"theorem,":[148],"obtain":[150],"possible":[160],"in":[161],"such":[162],"broad":[166],"class":[167],"parameter":[169],"settings.":[170],"there":[174],"is":[175],"tradeoff":[177],"having":[179],"good":[180],"ability":[184],"correct":[186],"erasures":[187],"minimum":[190],"distance.":[191]},"counts_by_year":[{"year":2026,"cited_by_count":36},{"year":2025,"cited_by_count":45},{"year":2024,"cited_by_count":56},{"year":2023,"cited_by_count":45},{"year":2022,"cited_by_count":71},{"year":2021,"cited_by_count":55},{"year":2020,"cited_by_count":83},{"year":2019,"cited_by_count":70},{"year":2018,"cited_by_count":85},{"year":2017,"cited_by_count":98},{"year":2016,"cited_by_count":84},{"year":2015,"cited_by_count":62},{"year":2014,"cited_by_count":49},{"year":2013,"cited_by_count":34},{"year":2012,"cited_by_count":8}],"updated_date":"2026-08-28T12:50:07.497085","created_date":"2025-10-10T00:00:00"}