{"id":"https://openalex.org/W7225004616","doi":"https://doi.org/10.5281/zenodo.23842218","title":"New upper bounds for covering arrays of strength 3 and 4","display_name":"New upper bounds for covering arrays of strength 3 and 4","publication_year":2026,"publication_date":"2026-10-31","ids":{"openalex":"https://openalex.org/W7225004616","doi":"https://doi.org/10.5281/zenodo.23842218"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.23842218","doi":"https://doi.org/10.5281/zenodo.23842218","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23842218","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"volume":null,"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5281/zenodo.23842218","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5132641793","display_name":"Theo Nicolas Sitjar","orcid":"https://orcid.org/0009-0002-6728-0169","observed_orcids":["https://orcid.org/0009-0002-6728-0169"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Sitjar, Th\u00e9o Nicolas","raw_affiliation_strings":["Independent researcher"],"raw_orcid":"https://orcid.org/0009-0002-6728-0169","affiliations":[{"raw_affiliation_string":"Independent researcher","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5132641793"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.5893999934196472,"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"}},"topics":[{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.5893999934196472,"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"}},{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.21310000121593475,"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/T11269","display_name":"Algorithms and Data Compression","score":0.01720000058412552,"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/covering-arrays","display_name":"covering arrays","score":0.9990000128746033},{"id":"https://openalex.org/keywords/upper-bounds","display_name":"upper bounds","score":0.8360000252723694},{"id":"https://openalex.org/keywords/explicit-constructions","display_name":"explicit constructions","score":0.8069999814033508},{"id":"https://openalex.org/keywords/combinatorial-designs","display_name":"combinatorial designs","score":0.7580000162124634},{"id":"https://openalex.org/keywords/parameter-sets","display_name":"parameter sets","score":0.6359999775886536},{"id":"https://openalex.org/keywords/pre-registered-predictions","display_name":"pre-registered predictions","score":0.6809999942779541}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5648000240325928},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.49630001187324524},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4296000003814697},{"id":"https://openalex.org/C12725497","wikidata":"https://www.wikidata.org/wiki/Q810247","display_name":"Baseline (sea)","level":2,"score":0.34209999442100525},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3400000035762787},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.326200008392334},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.32420000433921814},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.28610000014305115},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.25130000710487366},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.2502000033855438}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.5281/zenodo.23842218","doi":"https://doi.org/10.5281/zenodo.23842218","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23842218","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.5281/zenodo.23842219","doi":"https://doi.org/10.5281/zenodo.23842219","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23842219","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.5281/zenodo.23846184","doi":"https://doi.org/10.5281/zenodo.23846184","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23846184","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.5281/zenodo.23885259","doi":"https://doi.org/10.5281/zenodo.23885259","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23885259","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.5281/zenodo.23962626","doi":"https://doi.org/10.5281/zenodo.23962626","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23962626","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.5281/zenodo.23842218","doi":"https://doi.org/10.5281/zenodo.23842218","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23842218","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":1,"referenced_works":["https://openalex.org/W7224087924"],"related_works":["https://openalex.org/W1997203758","https://openalex.org/W2168583313","https://openalex.org/W2911181738","https://openalex.org/W2093978752","https://openalex.org/W2101657310","https://openalex.org/W2207014990","https://openalex.org/W2067070599","https://openalex.org/W7225012586","https://openalex.org/W2065479760","https://openalex.org/W2980425835"],"abstract_inverted_index":{"We":[0,124],"give":[1],"explicit":[2],"covering":[3],"arrays":[4,44,151],"that":[5,144],"improve":[6],"the":[7,66,73,127,149,156,172,187,194,206],"best":[8],"known":[9],"size":[10],"for":[11,175],"77":[12],"parameter":[13,161,234],"sets:":[14,235],"19":[15],"of":[16,20,25,48,50,72,77,79,98,152,155,166,189,193,205,215,220,237,246],"strength":[17,21,26],"3,":[18],"50":[19],"4":[22],"and":[23,39,52,68,95,117,131,140,163,181,210],"8":[24],"5.":[27],"Examples":[28],"are":[29,118,202],"CA(2976;4,12,6)":[30],"(previously":[31,34,37,41],"3944),":[32],"CA(2976;4,11,6)":[33],"3671),":[35],"CA(2616;4,10,6)":[36],"3208)":[38],"CA(6445;4,37,6)":[40],"7199).":[42],"The":[43],"come":[45,212],"from":[46,59,75,82,96,186,213],"unions":[47,76],"orbits":[49],"PGL(2,q)":[51],"its":[53,105],"subgroups":[54],"followed":[55],"by":[56,86,112,243],"row-level":[57],"repair,":[58],"a":[60,69,87,136,141,244],"family":[61],"developed":[62],"under":[63],"PGL(2,5)":[64],"on":[65],"symbols":[67],"cyclic":[70],"shift":[71],"columns,":[74],"cosets":[78],"linear":[80],"codes,":[81],"search":[83],"programs":[84,116],"written":[85,115],"large":[88],"language":[89,128],"model":[90,129],"inside":[91],"an":[92],"automated":[93],"loop,":[94],"post-optimisation":[97,214],"published":[99,216],"record":[100],"arrays.":[101],"Every":[102],"array":[103,208],"is":[104],"own":[106,168],"certificate;":[107],"all":[108],"were":[109],"checked":[110],"exhaustively":[111],"two":[113],"separately":[114],"archived":[119],"with":[120,223],"their":[121],"generating":[122],"programs.":[123],"report":[125],"what":[126],"did":[130,132],"not":[133],"contribute,":[134],"including":[135],"baseline":[137],"without":[138],"it":[139],"pre-registered":[142],"prediction":[143],"failed.":[145],"Version":[146,226],"1.3":[147],"adds":[148],"46":[150],"version":[153,229],"1.7":[154],"archive":[157],"(doi:10.5281/zenodo.23959429):":[158],"33":[159],"new":[160,195],"sets":[162,196],"13":[164],"improvements":[165],"our":[167],"entries,":[169],"among":[170],"them":[171,238],"line":[173],"CA(N;4,k,6)":[174],"k":[176],"=":[177,198],"28":[178,199],"to":[179,200],"39":[180,233],"four":[182],"entries":[183],"taken":[184],"back":[185],"deposit":[188,245],"Bai":[190,221,247],"XunDi.":[191],"Nine":[192],"(k":[197],"36)":[201],"column":[203],"deletions":[204],"single":[207],"CA(6445;4,37,6),":[209],"22":[211],"arrays,":[217],"mostly":[218],"those":[219],"XunDi,":[222,248],"small":[224],"gains.":[225],"1.1":[227],"corrected":[228],"1.0,":[230],"which":[231],"claimed":[232],"eight":[236],"had":[239],"already":[240],"been":[241],"overtaken":[242],"credited":[249],"here.":[250]},"counts_by_year":[],"updated_date":"2026-11-05T12:25:35.769452","created_date":"2026-11-01T00:00:00"}