{"id":"https://openalex.org/W1936001028","doi":"https://doi.org/10.37236/4974","title":"The Covering Problem in Rosenbloom-Tsfasman Spaces","display_name":"The Covering Problem in Rosenbloom-Tsfasman Spaces","publication_year":2015,"publication_date":"2015-08-28","ids":{"openalex":"https://openalex.org/W1936001028","doi":"https://doi.org/10.37236/4974","mag":"1936001028"},"language":"en","primary_location":{"id":"doi:10.37236/4974","is_oa":true,"landing_page_url":"https://doi.org/10.37236/4974","pdf_url":null,"source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.37236/4974","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5007015190","display_name":"Andr\u00e9 Guerino Castoldi","orcid":"https://orcid.org/0000-0002-8601-4715"},"institutions":[{"id":"https://openalex.org/I123443094","display_name":"Universidade Estadual de Maring\u00e1","ror":"https://ror.org/04bqqa360","country_code":"BR","type":"education","lineage":["https://openalex.org/I123443094"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Andr\u00e9 G. Castoldi","raw_affiliation_strings":["Universidade Estadual de Maring\u00e1,\r\nDepartamento de Matem\u00e1tica,\r\nMaring\u00e1, PR","Universidade Estadual de Maring\u00e1,#R##N#Departamento de Matem\u00e1tica,#R##N#Maring\u00e1, PR"],"affiliations":[{"raw_affiliation_string":"Universidade Estadual de Maring\u00e1,\r\nDepartamento de Matem\u00e1tica,\r\nMaring\u00e1, PR","institution_ids":["https://openalex.org/I123443094"]},{"raw_affiliation_string":"Universidade Estadual de Maring\u00e1,#R##N#Departamento de Matem\u00e1tica,#R##N#Maring\u00e1, PR","institution_ids":["https://openalex.org/I123443094"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048034831","display_name":"Emerson L. Monte Carmelo","orcid":"https://orcid.org/0000-0002-5390-6901"},"institutions":[{"id":"https://openalex.org/I123443094","display_name":"Universidade Estadual de Maring\u00e1","ror":"https://ror.org/04bqqa360","country_code":"BR","type":"education","lineage":["https://openalex.org/I123443094"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Emerson L. Monte Carmelo","raw_affiliation_strings":["Universidade Estadual de Maring\u00e1, \r\nDepartamento de Matem\u00e1tica,\r\nMaring\u00e1, PR","Universidade Estadual de Maring\u00e1,#R##N#Departamento de Matem\u00e1tica,#R##N#Maring\u00e1, PR"],"affiliations":[{"raw_affiliation_string":"Universidade Estadual de Maring\u00e1, \r\nDepartamento de Matem\u00e1tica,\r\nMaring\u00e1, PR","institution_ids":["https://openalex.org/I123443094"]},{"raw_affiliation_string":"Universidade Estadual de Maring\u00e1,#R##N#Departamento de Matem\u00e1tica,#R##N#Maring\u00e1, PR","institution_ids":["https://openalex.org/I123443094"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5007015190"],"corresponding_institution_ids":["https://openalex.org/I123443094"],"apc_list":null,"apc_paid":null,"fwci":0.8629,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.81825656,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"22","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9991000294685364,"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":0.9991000294685364,"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/T12404","display_name":"Mathematical Approximation and Integration","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9975000023841858,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.861788272857666},{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.7833395004272461},{"id":"https://openalex.org/keywords/hamming-code","display_name":"Hamming code","score":0.702191948890686},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6541794538497925},{"id":"https://openalex.org/keywords/hamming-space","display_name":"Hamming space","score":0.6006061434745789},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5843909382820129},{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.5667537450790405},{"id":"https://openalex.org/keywords/hamming-distance","display_name":"Hamming distance","score":0.5250325202941895},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5114971399307251},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.5008478164672852},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.46430447697639465},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.41035473346710205},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1088365912437439},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10465225577354431},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.09068244695663452},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.052893251180648804}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.861788272857666},{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.7833395004272461},{"id":"https://openalex.org/C73150493","wikidata":"https://www.wikidata.org/wiki/Q853922","display_name":"Hamming code","level":4,"score":0.702191948890686},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6541794538497925},{"id":"https://openalex.org/C2779494224","wikidata":"https://www.wikidata.org/wiki/Q5645799","display_name":"Hamming space","level":5,"score":0.6006061434745789},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5843909382820129},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.5667537450790405},{"id":"https://openalex.org/C193319292","wikidata":"https://www.wikidata.org/wiki/Q272172","display_name":"Hamming distance","level":2,"score":0.5250325202941895},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5114971399307251},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.5008478164672852},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.46430447697639465},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.41035473346710205},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1088365912437439},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10465225577354431},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.09068244695663452},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.052893251180648804},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37236/4974","is_oa":true,"landing_page_url":"https://doi.org/10.37236/4974","pdf_url":null,"source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.37236/4974","is_oa":true,"landing_page_url":"https://doi.org/10.37236/4974","pdf_url":null,"source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.7200000286102295}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W8711903","https://openalex.org/W104311799","https://openalex.org/W250913621","https://openalex.org/W1740055512","https://openalex.org/W1964776956","https://openalex.org/W1981611633","https://openalex.org/W2000719185","https://openalex.org/W2009231757","https://openalex.org/W2023908631","https://openalex.org/W2029767206","https://openalex.org/W2043474783","https://openalex.org/W2044945837","https://openalex.org/W2050687505","https://openalex.org/W2051958930","https://openalex.org/W2052433785","https://openalex.org/W2057014687","https://openalex.org/W2065006116","https://openalex.org/W2067569336","https://openalex.org/W2079400100","https://openalex.org/W2093397547","https://openalex.org/W2098121747","https://openalex.org/W2254993770","https://openalex.org/W2552716967"],"related_works":["https://openalex.org/W2371167013","https://openalex.org/W2182731056","https://openalex.org/W2613408642","https://openalex.org/W1519122282","https://openalex.org/W4235868261","https://openalex.org/W2140899540","https://openalex.org/W4380994333","https://openalex.org/W2158117886","https://openalex.org/W3203349595","https://openalex.org/W2998312549"],"abstract_inverted_index":{"We":[0],"investigate":[1],"the":[2,10,14,43,83],"covering":[3,16,48],"problem":[4,17],"in":[5,18,25,30,50,73],"RT":[6,26,52,74],"spaces":[7,27,32,75],"induced":[8],"by":[9,56],"Rosenbloom-Tsfasman":[11],"metric,":[12],"extending":[13],"classical":[15],"Hamming":[19,31],"spaces.":[20],"Some":[21],"connections":[22],"between":[23],"coverings":[24,29],"and":[28,37,59,97,99,104],"are":[33,40,80,107],"derived.":[34],"Several":[35],"lower":[36,103],"upper":[38,105],"bounds":[39,79,106],"established":[41],"for":[42],"smallest":[44],"cardinality":[45],"of":[46,70,85,102],"a":[47],"code":[49],"an":[51],"space,":[53],"generalizing":[54,88],"results":[55,90],"Carnielli,":[57],"Chen":[58],"Honkala,":[60],"Brualdi":[61],"et":[62,65,94],"al.,":[63,95],"Yildiz":[64],"al.":[66],"A":[67],"new":[68],"construction":[69],"MDS":[71,86],"codes":[72],"is":[76],"obtained.":[77],"Upper":[78],"given":[81],"on":[82],"basis":[84],"codes,":[87],"well-known":[89],"due":[91],"to":[92],"Stanton":[93],"Blokhuis":[96],"Lam,":[98],"Carnielli.":[100],"Tables":[101],"presented":[108],"too.":[109]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
