{"id":"https://openalex.org/W2085688367","doi":"https://doi.org/10.1007/s10623-003-4195-y","title":"Symmetric (4,4)-Nets and Generalized Hadamard Matrices Over Groups of Order 4","display_name":"Symmetric (4,4)-Nets and Generalized Hadamard Matrices Over Groups of Order 4","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W2085688367","doi":"https://doi.org/10.1007/s10623-003-4195-y","mag":"2085688367"},"language":"en","primary_location":{"id":"doi:10.1007/s10623-003-4195-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-003-4195-y","pdf_url":null,"source":{"id":"https://openalex.org/S81616010","display_name":"Designs Codes and Cryptography","issn_l":"0925-1022","issn":["0925-1022","1573-7586"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Designs, Codes and Cryptography","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/A5015902214","display_name":"Masaaki Harada","orcid":"https://orcid.org/0000-0002-2748-6456"},"institutions":[{"id":"https://openalex.org/I112524849","display_name":"Yamagata University","ror":"https://ror.org/00xy44n04","country_code":"JP","type":"education","lineage":["https://openalex.org/I112524849"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Masaaki Harada","raw_affiliation_strings":["Department of Mathematical Sciences, Yamagata University,  Yamagata 990-8560, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Yamagata University,  Yamagata 990-8560, Japan","institution_ids":["https://openalex.org/I112524849"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108731199","display_name":"Clement Lam","orcid":null},"institutions":[{"id":"https://openalex.org/I60158472","display_name":"Concordia University","ror":"https://ror.org/0420zvk78","country_code":"CA","type":"education","lineage":["https://openalex.org/I60158472"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Clement Lam","raw_affiliation_strings":["Department of Computer Science Concordia University Montreal, Quebec, Canada H3G 1M8#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science Concordia University Montreal, Quebec, Canada H3G 1M8#TAB#","institution_ids":["https://openalex.org/I60158472"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054244870","display_name":"Vladimir D. Tonchev","orcid":"https://orcid.org/0000-0003-1806-3571"},"institutions":[{"id":"https://openalex.org/I11957088","display_name":"Michigan Technological University","ror":"https://ror.org/0036rpn28","country_code":"US","type":"education","lineage":["https://openalex.org/I11957088"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Vladimir D. Tonchev","raw_affiliation_strings":["Department of Mathematical Sciences, Michigan Technological University, Houghton, MI"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Michigan Technological University, Houghton, MI","institution_ids":["https://openalex.org/I11957088"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":2.1863,"has_fulltext":false,"cited_by_count":30,"citation_normalized_percentile":{"value":0.87386013,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"34","issue":"1","first_page":"71","last_page":"87"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":1.0,"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/T11130","display_name":"Coding theory and cryptography","score":0.9986000061035156,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9919999837875366,"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":0.7592332363128662},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6249891519546509},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.6053464412689209},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.45840007066726685},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.45421987771987915},{"id":"https://openalex.org/keywords/complex-hadamard-matrix","display_name":"Complex Hadamard matrix","score":0.4154302775859833},{"id":"https://openalex.org/keywords/hadamard-matrix","display_name":"Hadamard matrix","score":0.31856590509414673},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10846170783042908},{"id":"https://openalex.org/keywords/business","display_name":"Business","score":0.04542279243469238}],"concepts":[{"id":"https://openalex.org/C60292330","wikidata":"https://www.wikidata.org/wiki/Q1014065","display_name":"Hadamard transform","level":2,"score":0.7592332363128662},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6249891519546509},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.6053464412689209},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.45840007066726685},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.45421987771987915},{"id":"https://openalex.org/C6497535","wikidata":"https://www.wikidata.org/wiki/Q5156556","display_name":"Complex Hadamard matrix","level":4,"score":0.4154302775859833},{"id":"https://openalex.org/C30463267","wikidata":"https://www.wikidata.org/wiki/Q1422682","display_name":"Hadamard matrix","level":3,"score":0.31856590509414673},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10846170783042908},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.04542279243469238},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10623-003-4195-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-003-4195-y","pdf_url":null,"source":{"id":"https://openalex.org/S81616010","display_name":"Designs Codes and Cryptography","issn_l":"0925-1022","issn":["0925-1022","1573-7586"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Designs, Codes and Cryptography","raw_type":"journal-article"},{"id":"pmh:oai:digitalcommons.mtu.edu:math-fp-1120","is_oa":false,"landing_page_url":"https://digitalcommons.mtu.edu/math-fp/119","pdf_url":null,"source":{"id":"https://openalex.org/S4377196391","display_name":"Digital Commons - Michigan Tech (Michigan Technological University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I11957088","host_organization_name":"Michigan Technological University","host_organization_lineage":["https://openalex.org/I11957088"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Department of Mathematical Sciences Publications","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":30,"referenced_works":["https://openalex.org/W58239232","https://openalex.org/W146946676","https://openalex.org/W1516318957","https://openalex.org/W1556443961","https://openalex.org/W1658752505","https://openalex.org/W1965142549","https://openalex.org/W1971886388","https://openalex.org/W1979177096","https://openalex.org/W1982201497","https://openalex.org/W1998843041","https://openalex.org/W2005295899","https://openalex.org/W2009305829","https://openalex.org/W2014666954","https://openalex.org/W2021145916","https://openalex.org/W2031905132","https://openalex.org/W2051658996","https://openalex.org/W2052900991","https://openalex.org/W2075867401","https://openalex.org/W2091878742","https://openalex.org/W2094687892","https://openalex.org/W2114751427","https://openalex.org/W2167413626","https://openalex.org/W2177092276","https://openalex.org/W2483723462","https://openalex.org/W2575922793","https://openalex.org/W2611298788","https://openalex.org/W2772643004","https://openalex.org/W4211147273","https://openalex.org/W4249150173","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2038981428","https://openalex.org/W1976224891","https://openalex.org/W3154819821","https://openalex.org/W2010617738","https://openalex.org/W2796326658","https://openalex.org/W2054788067","https://openalex.org/W1971692815","https://openalex.org/W4312637292","https://openalex.org/W2740594951","https://openalex.org/W1995950135"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":4}],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2025-10-10T00:00:00"}