{"id":"https://openalex.org/W2793283778","doi":"https://doi.org/10.1007/s10623-018-0569-z","title":"Equiangular tight frames from group divisible designs","display_name":"Equiangular tight frames from group divisible designs","publication_year":2018,"publication_date":"2018-10-09","ids":{"openalex":"https://openalex.org/W2793283778","doi":"https://doi.org/10.1007/s10623-018-0569-z","mag":"2793283778"},"language":"en","primary_location":{"id":"doi:10.1007/s10623-018-0569-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-018-0569-z","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":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1803.07468","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062903532","display_name":"Matthew Fickus","orcid":"https://orcid.org/0000-0002-4295-1475"},"institutions":[{"id":"https://openalex.org/I55061410","display_name":"U.S. Air Force Institute of Technology","ror":"https://ror.org/03f9f1d95","country_code":"US","type":"education","lineage":["https://openalex.org/I1294991024","https://openalex.org/I1330347796","https://openalex.org/I1330347796","https://openalex.org/I2802362820","https://openalex.org/I4210089612","https://openalex.org/I4210102105","https://openalex.org/I4210102105","https://openalex.org/I55061410"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Matthew Fickus","raw_affiliation_strings":["Department of Mathematics and Statistics, Air Force Institute of Technology, Wright-Patterson AFB, OH, 45433, USA","Department of Mathematics and Statistics, Air Force Institute of Technology, Wright Patterson AFB, USA"],"raw_orcid":"https://orcid.org/0000-0002-4295-1475","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Air Force Institute of Technology, Wright-Patterson AFB, OH, 45433, USA","institution_ids":["https://openalex.org/I55061410"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, Air Force Institute of Technology, Wright Patterson AFB, USA","institution_ids":["https://openalex.org/I55061410"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014226032","display_name":"John Jasper","orcid":"https://orcid.org/0000-0002-4071-0934"},"institutions":[{"id":"https://openalex.org/I177156846","display_name":"South Dakota State University","ror":"https://ror.org/015jmes13","country_code":"US","type":"education","lineage":["https://openalex.org/I177156846"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"John Jasper","raw_affiliation_strings":["Department of Mathematics and Statistics, South Dakota State University, Brookings, SD, 57007, USA","Department of Mathematics and Statistics, South Dakota State University, Brookings, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, South Dakota State University, Brookings, SD, 57007, USA","institution_ids":["https://openalex.org/I177156846"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, South Dakota State University, Brookings, USA","institution_ids":["https://openalex.org/I177156846"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":0.0988,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.44075921,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":"87","issue":"7","first_page":"1673","last_page":"1697"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9990000128746033,"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":0.9990000128746033,"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":0.9842000007629395,"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/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9825999736785889,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/equiangular-polygon","display_name":"Equiangular polygon","score":0.8578343987464905},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6468504667282104},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5922942161560059},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5337302088737488},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.522924542427063},{"id":"https://openalex.org/keywords/combinatorial-design","display_name":"Combinatorial design","score":0.5163739919662476},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4911899268627167},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.46735644340515137},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4314459264278412}],"concepts":[{"id":"https://openalex.org/C41779539","wikidata":"https://www.wikidata.org/wiki/Q2543717","display_name":"Equiangular polygon","level":3,"score":0.8578343987464905},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6468504667282104},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5922942161560059},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5337302088737488},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.522924542427063},{"id":"https://openalex.org/C122451846","wikidata":"https://www.wikidata.org/wiki/Q5150824","display_name":"Combinatorial design","level":2,"score":0.5163739919662476},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4911899268627167},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.46735644340515137},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4314459264278412},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s10623-018-0569-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-018-0569-z","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:arXiv.org:1803.07468","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1803.07468","pdf_url":"https://arxiv.org/pdf/1803.07468","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":"","raw_type":"text"},{"id":"mag:2793283778","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1803.07468.pdf","pdf_url":null,"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":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1803.07468","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1803.07468","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1803.07468","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1803.07468","pdf_url":"https://arxiv.org/pdf/1803.07468","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":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306078","display_name":"U.S. Department of Defense","ror":"https://ror.org/0447fe631"},{"id":"https://openalex.org/F4320338294","display_name":"Air Force Research Laboratory","ror":"https://ror.org/02e2egq70"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2793283778.pdf","grobid_xml":"https://content.openalex.org/works/W2793283778.grobid-xml"},"referenced_works_count":58,"referenced_works":["https://openalex.org/W569908298","https://openalex.org/W1489953262","https://openalex.org/W1527392485","https://openalex.org/W1599914714","https://openalex.org/W1717934883","https://openalex.org/W1722317191","https://openalex.org/W1798099068","https://openalex.org/W1922605123","https://openalex.org/W1967009268","https://openalex.org/W1979500630","https://openalex.org/W1981357736","https://openalex.org/W1989704610","https://openalex.org/W1996425172","https://openalex.org/W1998831922","https://openalex.org/W2010579215","https://openalex.org/W2011395229","https://openalex.org/W2014907630","https://openalex.org/W2029700997","https://openalex.org/W2037286809","https://openalex.org/W2037387604","https://openalex.org/W2039178006","https://openalex.org/W2051968426","https://openalex.org/W2059895349","https://openalex.org/W2061269538","https://openalex.org/W2072565885","https://openalex.org/W2072618862","https://openalex.org/W2072704718","https://openalex.org/W2083511239","https://openalex.org/W2086869478","https://openalex.org/W2093699365","https://openalex.org/W2094235750","https://openalex.org/W2094366212","https://openalex.org/W2104795888","https://openalex.org/W2110673833","https://openalex.org/W2121743251","https://openalex.org/W2127604277","https://openalex.org/W2132702454","https://openalex.org/W2138548210","https://openalex.org/W2183758324","https://openalex.org/W2246552418","https://openalex.org/W2594481206","https://openalex.org/W2607247728","https://openalex.org/W2608678408","https://openalex.org/W2734631187","https://openalex.org/W2752483708","https://openalex.org/W2752900073","https://openalex.org/W2761438015","https://openalex.org/W2920061280","https://openalex.org/W2950266618","https://openalex.org/W2955543650","https://openalex.org/W2963189652","https://openalex.org/W2963256081","https://openalex.org/W2963768992","https://openalex.org/W2991792429","https://openalex.org/W3101864652","https://openalex.org/W4213328390","https://openalex.org/W4231874819","https://openalex.org/W6677136645"],"related_works":["https://openalex.org/W2962864603","https://openalex.org/W2607247728","https://openalex.org/W2952867101","https://openalex.org/W2266261023","https://openalex.org/W2274974341","https://openalex.org/W2962957582","https://openalex.org/W2982006717","https://openalex.org/W3010662302","https://openalex.org/W3011634485","https://openalex.org/W2949826416","https://openalex.org/W2072704718","https://openalex.org/W1717934883","https://openalex.org/W2610005793","https://openalex.org/W19542714","https://openalex.org/W2730279938","https://openalex.org/W1539726851","https://openalex.org/W2972604606","https://openalex.org/W2487188254","https://openalex.org/W3165378128","https://openalex.org/W1934698069"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
