{"id":"https://openalex.org/W2027237139","doi":"https://doi.org/10.1007/s10623-011-9492-2","title":"Turyn type Williamson matrices up to order 99","display_name":"Turyn type Williamson matrices up to order 99","publication_year":2011,"publication_date":"2011-03-03","ids":{"openalex":"https://openalex.org/W2027237139","doi":"https://doi.org/10.1007/s10623-011-9492-2","mag":"2027237139"},"language":"en","primary_location":{"id":"doi:10.1007/s10623-011-9492-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-011-9492-2","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/A5046178088","display_name":"W. Lang","orcid":"https://orcid.org/0000-0001-8722-2674"},"institutions":[{"id":"https://openalex.org/I205892228","display_name":"Berlin School of Economics and Law","ror":"https://ror.org/03rkmps36","country_code":"DE","type":"education","lineage":["https://openalex.org/I205892228"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Wolfgang Lang","raw_affiliation_strings":["Faculty of Business and Economics, Berlin School of Economics and Law, Badensche Str. 50/51, 10825, Berlin, Germany","Faculty of Business and Economics, Berlin School of Economics and Law, Berlin, Germany 10825#TAB#"],"affiliations":[{"raw_affiliation_string":"Faculty of Business and Economics, Berlin School of Economics and Law, Badensche Str. 50/51, 10825, Berlin, Germany","institution_ids":["https://openalex.org/I205892228"]},{"raw_affiliation_string":"Faculty of Business and Economics, Berlin School of Economics and Law, Berlin, Germany 10825#TAB#","institution_ids":["https://openalex.org/I205892228"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015268740","display_name":"Ekkehard Schneider","orcid":null},"institutions":[{"id":"https://openalex.org/I122228004","display_name":"HTW Berlin - University of Applied Sciences","ror":"https://ror.org/01xzwj424","country_code":"DE","type":"education","lineage":["https://openalex.org/I122228004"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Ekkehard Schneider","raw_affiliation_strings":["Department 4, HTW Berlin, University of Applied Sciences, 10313, Berlin, Germany","Department 4, HTW Berlin, University of Applied Sciences, Berlin, Germany 10313"],"affiliations":[{"raw_affiliation_string":"Department 4, HTW Berlin, University of Applied Sciences, 10313, Berlin, Germany","institution_ids":["https://openalex.org/I122228004"]},{"raw_affiliation_string":"Department 4, HTW Berlin, University of Applied Sciences, Berlin, Germany 10313","institution_ids":["https://openalex.org/I122228004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5046178088"],"corresponding_institution_ids":["https://openalex.org/I205892228"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.09500682,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"62","issue":"1","first_page":"79","last_page":"84"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9979000091552734,"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":0.9979000091552734,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9959999918937683,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9943000078201294,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/circulant-matrix","display_name":"Circulant matrix","score":0.7306172847747803},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5894955396652222},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5842521786689758},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5801720023155212},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5043281316757202},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.48343929648399353},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4732523560523987},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.38053613901138306},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.33106040954589844},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.03488057851791382}],"concepts":[{"id":"https://openalex.org/C115973184","wikidata":"https://www.wikidata.org/wiki/Q245457","display_name":"Circulant matrix","level":2,"score":0.7306172847747803},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5894955396652222},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5842521786689758},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5801720023155212},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5043281316757202},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.48343929648399353},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4732523560523987},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38053613901138306},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.33106040954589844},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.03488057851791382},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10623-011-9492-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-011-9492-2","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1548136344","https://openalex.org/W1875347116","https://openalex.org/W1965142549","https://openalex.org/W2024144406","https://openalex.org/W2061326460","https://openalex.org/W2063465286","https://openalex.org/W2752853835","https://openalex.org/W6629416614"],"related_works":["https://openalex.org/W2117159910","https://openalex.org/W2335757200","https://openalex.org/W2049656902","https://openalex.org/W2044900700","https://openalex.org/W2139378013","https://openalex.org/W2312260908","https://openalex.org/W2394404719","https://openalex.org/W2560470131","https://openalex.org/W4206362494","https://openalex.org/W2964130583"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}