{"id":"https://openalex.org/W4392051205","doi":"https://doi.org/10.3934/amc.2024005","title":"Recursive constructions for covering schemes of strength 3","display_name":"Recursive constructions for covering schemes of strength 3","publication_year":2024,"publication_date":"2024-02-22","ids":{"openalex":"https://openalex.org/W4392051205","doi":"https://doi.org/10.3934/amc.2024005"},"language":"en","primary_location":{"id":"doi:10.3934/amc.2024005","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3934/amc.2024005","pdf_url":"https://www.aimsciences.org/data/article/export-pdf?id=65d5c1ac3cb6602db48f03c3","source":{"id":"https://openalex.org/S161492159","display_name":"Advances in Mathematics of Communications","issn_l":"1930-5338","issn":["1930-5338","1930-5346"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Mathematics of Communications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.aimsciences.org/data/article/export-pdf?id=65d5c1ac3cb6602db48f03c3","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"]},{"id":"https://openalex.org/I1283613182","display_name":"Universidade Tecnol\u00f3gica Federal do Paran\u00e1","ror":"https://ror.org/002v2kq79","country_code":"BR","type":"education","lineage":["https://openalex.org/I1283613182"]},{"id":"https://openalex.org/I59606676","display_name":"Universidade Federal do Par\u00e1","ror":"https://ror.org/03q9sr818","country_code":"BR","type":"education","lineage":["https://openalex.org/I59606676"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Andr\u00e9 Guerino Castoldi","raw_affiliation_strings":["Departamento de Matemtica, Universidade Tecnolgica Federal do Paran, Pato Branco,","Postdoctoral researcher at Universidade Estadual de Maring, Paran, Brazil","Departamento de Matem\u00e1tica, Universidade Tecnol\u00f3gica Federal do Paran\u00e1, Pato Branco,","Postdoctoral researcher at Universidade Estadual de Maring\u00e1, Paran\u00e1, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matemtica, Universidade Tecnolgica Federal do Paran, Pato Branco,","institution_ids":["https://openalex.org/I59606676"]},{"raw_affiliation_string":"Postdoctoral researcher at Universidade Estadual de Maring, Paran, Brazil","institution_ids":["https://openalex.org/I123443094"]},{"raw_affiliation_string":"Departamento de Matem\u00e1tica, Universidade Tecnol\u00f3gica Federal do Paran\u00e1, Pato Branco,","institution_ids":["https://openalex.org/I1283613182"]},{"raw_affiliation_string":"Postdoctoral researcher at Universidade Estadual de Maring\u00e1, Paran\u00e1, Brazil","institution_ids":["https://openalex.org/I123443094"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062095030","display_name":"Anderson N. Martinh\u00e3o","orcid":"https://orcid.org/0000-0003-0063-8605"},"institutions":[{"id":"https://openalex.org/I187420256","display_name":"Universidade Federal da Grande Dourados","ror":"https://ror.org/0310smc09","country_code":"BR","type":"education","lineage":["https://openalex.org/I187420256"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Anderson Novaes Martinh\u00e3o","raw_affiliation_strings":["Faculdade de Ci\u00eancias Exatas e Tecnologia, Universidade Federal da Grande Dourados, Dourados, Mato Grosso do Sul, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculdade de Ci\u00eancias Exatas e Tecnologia, Universidade Federal da Grande Dourados, Dourados, Mato Grosso do Sul, Brazil","institution_ids":["https://openalex.org/I187420256"]}]},{"author_position":"middle","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":true,"raw_author_name":"Emerson Luiz do Monte Carmelo","raw_affiliation_strings":["Departamento de Matem\u00e1tica, Universidade Estadual de Maring\u00e1, Maring\u00e1, Paran\u00e1, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica, Universidade Estadual de Maring\u00e1, Maring\u00e1, Paran\u00e1, Brazil","institution_ids":["https://openalex.org/I123443094"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081674560","display_name":"Ot\u00e1vio Jos\u00e9 Neto Tinoco Neves dos Santos","orcid":null},"institutions":[{"id":"https://openalex.org/I2802295813","display_name":"Universidade Estadual de Mato Grosso do Sul","ror":"https://ror.org/02ggt9460","country_code":"BR","type":"education","lineage":["https://openalex.org/I2802295813"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Ot\u00e1vio Jos\u00e9 Neto Tinoco Neves dos Santos","raw_affiliation_strings":["Colegiado de Matem\u00e1tica, Universidade Estadual de Mato Grosso do Sul, Dourados, Mato Grosso do Sul, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Colegiado de Matem\u00e1tica, Universidade Estadual de Mato Grosso do Sul, Dourados, Mato Grosso do Sul, Brazil","institution_ids":["https://openalex.org/I2802295813"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055741621","display_name":"Pablo H. Perondi","orcid":"https://orcid.org/0000-0002-7446-4647"},"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":"Pablo Henrique Perondi","raw_affiliation_strings":["Departamento de Matem\u00e1tica, Universidade Estadual de Maring\u00e1, Maring\u00e1, Paran\u00e1, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica, Universidade Estadual de Maring\u00e1, Maring\u00e1, Paran\u00e1, Brazil","institution_ids":["https://openalex.org/I123443094"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5048034831"],"corresponding_institution_ids":["https://openalex.org/I123443094"],"apc_list":null,"apc_paid":null,"fwci":0.2423,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.50248524,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"19","issue":"2","first_page":"416","last_page":"436"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9599000215530396,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10142","display_name":"Formal Methods in Verification","score":0.9599000215530396,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11159","display_name":"Manufacturing Process and Optimization","score":0.9527999758720398,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/T12176","display_name":"Optimization and Packing Problems","score":0.9203000068664551,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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":0.9241868257522583},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4576188623905182},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.34636878967285156},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.32456105947494507}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9241868257522583},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4576188623905182},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34636878967285156},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.32456105947494507}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3934/amc.2024005","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3934/amc.2024005","pdf_url":"https://www.aimsciences.org/data/article/export-pdf?id=65d5c1ac3cb6602db48f03c3","source":{"id":"https://openalex.org/S161492159","display_name":"Advances in Mathematics of Communications","issn_l":"1930-5338","issn":["1930-5338","1930-5346"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Mathematics of Communications","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.3934/amc.2024005","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3934/amc.2024005","pdf_url":"https://www.aimsciences.org/data/article/export-pdf?id=65d5c1ac3cb6602db48f03c3","source":{"id":"https://openalex.org/S161492159","display_name":"Advances in Mathematics of Communications","issn_l":"1930-5338","issn":["1930-5338","1930-5346"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Mathematics of Communications","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.5799999833106995}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4392051205.pdf","grobid_xml":"https://content.openalex.org/works/W4392051205.grobid-xml"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W1596501089","https://openalex.org/W1598176185","https://openalex.org/W1978203195","https://openalex.org/W1989632078","https://openalex.org/W1991243505","https://openalex.org/W1994975665","https://openalex.org/W1997203758","https://openalex.org/W2009445227","https://openalex.org/W2024395742","https://openalex.org/W2031071287","https://openalex.org/W2043682849","https://openalex.org/W2044089475","https://openalex.org/W2065465262","https://openalex.org/W2065479760","https://openalex.org/W2067070599","https://openalex.org/W2074227470","https://openalex.org/W2619826047","https://openalex.org/W3133854082","https://openalex.org/W3173751853","https://openalex.org/W4221118599","https://openalex.org/W4249150173","https://openalex.org/W4293110013","https://openalex.org/W4307960330","https://openalex.org/W4381611201","https://openalex.org/W6600714082","https://openalex.org/W6812607830"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2042127053","https://openalex.org/W2142036596","https://openalex.org/W2072657027"],"abstract_inverted_index":{"Covering":[0],"schemes":[1,32,60],"over":[2],"an":[3],"abelian":[4],"group":[5],"were":[6],"posed":[7],"recently":[8],"in":[9,72],"connection":[10],"with":[11,66],"combinatorial":[12],"arrays":[13],"such":[14],"as":[15],"covering":[16,31,59],"arrays,":[17,19],"orthogonal":[18],"difference":[20,23],"matrices,":[21],"and":[22,43,54],"schemes.":[24],"This":[25],"work":[26],"investigates":[27],"recursive":[28],"constructions":[29],"for":[30,58,74],"throughout":[33],"basic":[34],"bounds,":[35],"truncation,":[36],"reduction,":[37],"column":[38],"augmentation,":[39],"Roux":[40],"type":[41],"constructions,":[42],"block":[44],"diagonal":[45],"construction.":[46],"Most":[47],"of":[48,61],"the":[49],"results":[50],"improve":[51],"upper":[52,68],"bounds":[53,69],"give":[55],"exact":[56],"classes":[57],"strength":[62],"3.":[63],"Numerical":[64],"comparison":[65],"known":[67],"is":[70],"discussed":[71],"tables":[73],"small":[75],"instances.":[76]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-08-18T07:49:30.821534","created_date":"2025-10-10T00:00:00"}
