{"id":"https://openalex.org/W2131673373","doi":"https://doi.org/10.37236/2612","title":"General Lower Bounds on Maximal Determinants of Binary Matrices","display_name":"General Lower Bounds on Maximal Determinants of Binary Matrices","publication_year":2013,"publication_date":"2013-04-24","ids":{"openalex":"https://openalex.org/W2131673373","doi":"https://doi.org/10.37236/2612","mag":"2131673373"},"language":"en","primary_location":{"id":"doi:10.37236/2612","is_oa":true,"landing_page_url":"https://doi.org/10.37236/2612","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v20i2p15/pdf","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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v20i2p15/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Richard P. Brent","orcid":null},"institutions":[{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Richard P. Brent","raw_affiliation_strings":["Australian National University"],"affiliations":[{"raw_affiliation_string":"Australian National University","institution_ids":["https://openalex.org/I118347636"]}]},{"author_position":"last","author":{"id":null,"display_name":"Judy-anne H. Osborn","orcid":null},"institutions":[{"id":"https://openalex.org/I78757542","display_name":"University of Newcastle Australia","ror":"https://ror.org/00eae9z71","country_code":"AU","type":"education","lineage":["https://openalex.org/I78757542"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Judy-anne H. Osborn","raw_affiliation_strings":["The University of Newcastle, NSW, Australia"],"affiliations":[{"raw_affiliation_string":"The University of Newcastle, NSW, Australia","institution_ids":["https://openalex.org/I78757542"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I118347636"],"apc_list":null,"apc_paid":null,"fwci":0.5823,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.67278204,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"20","issue":"2","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":0.18629999458789825,"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":0.18629999458789825,"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/T11716","display_name":"Random Matrices and Applications","score":0.15360000729560852,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.06909999996423721,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/hadamard-transform","display_name":"Hadamard transform","score":0.7429999709129333},{"id":"https://openalex.org/keywords/congruence","display_name":"Congruence (geometry)","score":0.5932999849319458},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5220000147819519},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4706999957561493},{"id":"https://openalex.org/keywords/hadamard-matrix","display_name":"Hadamard matrix","score":0.33390000462532043},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.3142000138759613}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8331999778747559},{"id":"https://openalex.org/C60292330","wikidata":"https://www.wikidata.org/wiki/Q1014065","display_name":"Hadamard transform","level":2,"score":0.7429999709129333},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6355000138282776},{"id":"https://openalex.org/C132074034","wikidata":"https://www.wikidata.org/wiki/Q154210","display_name":"Congruence (geometry)","level":2,"score":0.5932999849319458},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5220000147819519},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4706999957561493},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4681999981403351},{"id":"https://openalex.org/C30463267","wikidata":"https://www.wikidata.org/wiki/Q1422682","display_name":"Hadamard matrix","level":3,"score":0.33390000462532043},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.3142000138759613},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.3127000033855438},{"id":"https://openalex.org/C65180967","wikidata":"https://www.wikidata.org/wiki/Q130901","display_name":"Binary relation","level":2,"score":0.2912999987602234},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.27300000190734863}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.37236/2612","is_oa":true,"landing_page_url":"https://doi.org/10.37236/2612","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v20i2p15/pdf","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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1208.1805","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1208.1805","pdf_url":"https://arxiv.org/pdf/1208.1805","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"doi:10.37236/2612","is_oa":true,"landing_page_url":"https://doi.org/10.37236/2612","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v20i2p15/pdf","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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2131673373.pdf","grobid_xml":"https://content.openalex.org/works/W2131673373.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W401986301","https://openalex.org/W1481138264","https://openalex.org/W1488548720","https://openalex.org/W1575977255","https://openalex.org/W1974202963","https://openalex.org/W1976208484","https://openalex.org/W1980398466","https://openalex.org/W1992380223","https://openalex.org/W1999317819","https://openalex.org/W2034159266","https://openalex.org/W2080337348","https://openalex.org/W2123131736","https://openalex.org/W2131004471","https://openalex.org/W4238017359","https://openalex.org/W6632001618","https://openalex.org/W6673650669"],"related_works":[],"abstract_inverted_index":{"We":[0],"give":[1,57],"general":[2],"lower":[3],"bounds":[4,25],"on":[5,27,71],"the":[6,18,21,45],"maximal":[7],"determinant":[8,63],"of":[9,20,30,41,47,65,68,73],"$n":[10,42],"\\times":[11],"n$":[12],"$\\{+1,-1\\}$-matrices,":[13],"both":[14],"with":[15],"and":[16,33,50],"without":[17],"assumption":[19],"Hadamard":[22,74],"conjecture.":[23],"Our":[24],"improve":[26],"earlier":[28],"results":[29,46],"de":[31],"Launey":[32],"Levin":[34],"(2010)":[35,70],"and,":[36],"for":[37],"certain":[38],"congruence":[39],"classes":[40],"\\bmod":[43],"4$,":[44],"Koukouvinos,":[48],"Mitrouli":[49],"Seberry":[51],"(2000).":[52],"In":[53],"an":[54],"Appendix":[55],"we":[56],"a":[58,66],"new":[59],"proof,":[60],"using":[61],"Jacobi's":[62],"identity,":[64],"result":[67],"Sz\u00f6ll\u0151si":[69],"minors":[72],"matrices.":[75]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2016-06-24T00:00:00"}