{"id":"https://openalex.org/W2126655674","doi":"https://doi.org/10.1109/tit.1985.1057043","title":"Covering radius---Survey and recent results","display_name":"Covering radius---Survey and recent results","publication_year":1985,"publication_date":"1985-05-01","ids":{"openalex":"https://openalex.org/W2126655674","doi":"https://doi.org/10.1109/tit.1985.1057043","mag":"2126655674"},"language":"en","primary_location":{"id":"doi:10.1109/tit.1985.1057043","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1985.1057043","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/A5047867702","display_name":"G\u00e9rard Cohen","orcid":null},"institutions":[{"id":"https://openalex.org/I12356871","display_name":"T\u00e9l\u00e9com Paris","ror":"https://ror.org/01naq7912","country_code":"FR","type":"education","lineage":["https://openalex.org/I12356871","https://openalex.org/I205703379","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"G. Cohen","raw_affiliation_strings":["ENST, France","[ENST, France]"],"affiliations":[{"raw_affiliation_string":"ENST, France","institution_ids":[]},{"raw_affiliation_string":"[ENST, France]","institution_ids":["https://openalex.org/I12356871"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010084548","display_name":"Mark G. Karpovsky","orcid":null},"institutions":[{"id":"https://openalex.org/I111088046","display_name":"Boston University","ror":"https://ror.org/05qwgg493","country_code":"US","type":"education","lineage":["https://openalex.org/I111088046"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"M. Karpovsky","raw_affiliation_strings":["College of Engineering, Boston University, Boston, MA, USA"],"affiliations":[{"raw_affiliation_string":"College of Engineering, Boston University, Boston, MA, USA","institution_ids":["https://openalex.org/I111088046"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024148199","display_name":"H. F. Mattson","orcid":null},"institutions":[{"id":"https://openalex.org/I70983195","display_name":"Syracuse University","ror":"https://ror.org/025r5qe02","country_code":"US","type":"education","lineage":["https://openalex.org/I70983195"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"H. Mattson","raw_affiliation_strings":["School of Computer and Information Science, Syracuse University, Syracuse, NY, USA","[School of Computer and Information Science, Syracuse University, Syracuse, NY, USA]"],"affiliations":[{"raw_affiliation_string":"School of Computer and Information Science, Syracuse University, Syracuse, NY, USA","institution_ids":["https://openalex.org/I70983195"]},{"raw_affiliation_string":"[School of Computer and Information Science, Syracuse University, Syracuse, NY, USA]","institution_ids":["https://openalex.org/I70983195"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071597476","display_name":"James R. Schatz","orcid":null},"institutions":[{"id":"https://openalex.org/I4210092910","display_name":"Columbia Medical Practice","ror":"https://ror.org/00kavjh60","country_code":"US","type":"healthcare","lineage":["https://openalex.org/I4210092910"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J. Schatz","raw_affiliation_strings":["Columbia, MD, USA","[Columbia, MD, USA]"],"affiliations":[{"raw_affiliation_string":"Columbia, MD, USA","institution_ids":["https://openalex.org/I4210092910"]},{"raw_affiliation_string":"[Columbia, MD, USA]","institution_ids":["https://openalex.org/I4210092910"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5047867702"],"corresponding_institution_ids":["https://openalex.org/I12356871"],"apc_list":null,"apc_paid":null,"fwci":15.5635,"has_fulltext":false,"cited_by_count":262,"citation_normalized_percentile":{"value":0.98963573,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"31","issue":"3","first_page":"328","last_page":"343"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":1.0,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.9961000084877014,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/radius","display_name":"RADIUS","score":0.7681028842926025},{"id":"https://openalex.org/keywords/coding-theory","display_name":"Coding theory","score":0.5272318720817566},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5210951566696167},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.4836893677711487},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4767947196960449},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.46647176146507263},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.4632725715637207},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.44228124618530273},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.31816110014915466},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2133115530014038},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15930473804473877},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.06855779886245728}],"concepts":[{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.7681028842926025},{"id":"https://openalex.org/C113709454","wikidata":"https://www.wikidata.org/wiki/Q602136","display_name":"Coding theory","level":2,"score":0.5272318720817566},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5210951566696167},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.4836893677711487},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4767947196960449},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.46647176146507263},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.4632725715637207},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.44228124618530273},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.31816110014915466},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2133115530014038},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15930473804473877},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.06855779886245728},{"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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tit.1985.1057043","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1985.1057043","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:CiteSeerX.psu:10.1.1.156.4354","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.156.4354","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://mark.bu.edu/papers/78-covering%20radius.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":65,"referenced_works":["https://openalex.org/W141587076","https://openalex.org/W170509833","https://openalex.org/W1537824340","https://openalex.org/W1594652978","https://openalex.org/W1606480398","https://openalex.org/W1714552995","https://openalex.org/W1964776956","https://openalex.org/W1965097372","https://openalex.org/W1967915758","https://openalex.org/W1970190826","https://openalex.org/W1970808521","https://openalex.org/W1976417091","https://openalex.org/W1984648501","https://openalex.org/W1998732904","https://openalex.org/W2003050872","https://openalex.org/W2003282073","https://openalex.org/W2004502213","https://openalex.org/W2007464118","https://openalex.org/W2019335419","https://openalex.org/W2023908263","https://openalex.org/W2025123078","https://openalex.org/W2027330323","https://openalex.org/W2029495080","https://openalex.org/W2032685643","https://openalex.org/W2033633322","https://openalex.org/W2034441788","https://openalex.org/W2035929826","https://openalex.org/W2036505414","https://openalex.org/W2042588259","https://openalex.org/W2044983034","https://openalex.org/W2046148359","https://openalex.org/W2048462185","https://openalex.org/W2050687505","https://openalex.org/W2055899799","https://openalex.org/W2055928358","https://openalex.org/W2060745671","https://openalex.org/W2061169387","https://openalex.org/W2064003955","https://openalex.org/W2065404462","https://openalex.org/W2066791277","https://openalex.org/W2078472367","https://openalex.org/W2090432705","https://openalex.org/W2102381125","https://openalex.org/W2119352491","https://openalex.org/W2119995058","https://openalex.org/W2120399748","https://openalex.org/W2122045750","https://openalex.org/W2129632939","https://openalex.org/W2130029058","https://openalex.org/W2133397787","https://openalex.org/W2136319083","https://openalex.org/W2140322654","https://openalex.org/W2148575324","https://openalex.org/W2148723655","https://openalex.org/W2167026191","https://openalex.org/W2167154633","https://openalex.org/W2182112064","https://openalex.org/W2323132817","https://openalex.org/W2473274809","https://openalex.org/W3139815204","https://openalex.org/W4230860499","https://openalex.org/W4246015715","https://openalex.org/W4251292375","https://openalex.org/W4253197377","https://openalex.org/W4256545062"],"related_works":["https://openalex.org/W1977638783","https://openalex.org/W2139839243","https://openalex.org/W2100333645","https://openalex.org/W2956626181","https://openalex.org/W4360764540","https://openalex.org/W4288283464","https://openalex.org/W4231657010","https://openalex.org/W2395986200","https://openalex.org/W1994552539","https://openalex.org/W2007917622"],"abstract_inverted_index":{"All":[0],"known":[1],"results":[2,48],"on":[3,49,67],"covering":[4,31,52,73],"radius":[5,53],"are":[6,15],"presented,":[7],"as":[8,10],"well":[9],"some":[11,33],"new":[12,47],"results.":[13],"There":[14,61],"a":[16,26,64],"number":[17],"of":[18,30,39,54,70],"upper":[19],"and":[20,46],"lower":[21],"bounds,":[22],"including":[23],"asymptotic":[24],"results,":[25],"few":[27],"exact":[28],"determinations":[29],"radius,":[32],"extensive":[34],"relations":[35],"with":[36],"other":[37],"aspects":[38],"coding":[40],"theory":[41],"through":[42],"the":[43,50,68,72],"Reed-Muller":[44],"codes,":[45],"least":[51],"any":[55],"linear":[56],"<tex":[57],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[58],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">[n,k]</tex>":[59],"code.":[60],"is":[62],"also":[63],"recent":[65],"result":[66],"complexity":[69],"computing":[71],"radius.":[74]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":9},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":10},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":4}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
