{"id":"https://openalex.org/W4406949330","doi":"https://doi.org/10.1109/tit.2025.3536324","title":"Radon-Hurwitz Grassmannian Codes","display_name":"Radon-Hurwitz Grassmannian Codes","publication_year":2025,"publication_date":"2025-01-29","ids":{"openalex":"https://openalex.org/W4406949330","doi":"https://doi.org/10.1109/tit.2025.3536324"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2025.3536324","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2025.3536324","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","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/A5062903532","display_name":"Matthew Fickus","orcid":"https://orcid.org/0000-0002-4295-1475"},"institutions":[{"id":"https://openalex.org/I2799950915","display_name":"Wright-Patterson Air Force Base","ror":"https://ror.org/0097e1k27","country_code":"US","type":"other","lineage":["https://openalex.org/I1330347796","https://openalex.org/I2799950915","https://openalex.org/I4210089612","https://openalex.org/I4210102105"]},{"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 Air Force Base, OH, 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 Air Force Base, OH, USA","institution_ids":["https://openalex.org/I2799950915","https://openalex.org/I55061410"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036402362","display_name":"Enrique Gomez-Leos","orcid":null},"institutions":[{"id":"https://openalex.org/I173911158","display_name":"Iowa State University","ror":"https://ror.org/04rswrd78","country_code":"US","type":"education","lineage":["https://openalex.org/I173911158"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Enrique Gomez-Leos","raw_affiliation_strings":["Department of Mathematics, Iowa State University, Ames, IA, USA"],"raw_orcid":"https://orcid.org/0000-0002-0064-0193","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Iowa State University, Ames, IA, USA","institution_ids":["https://openalex.org/I173911158"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047715861","display_name":"Joseph W. Iverson","orcid":"https://orcid.org/0000-0002-4401-2455"},"institutions":[{"id":"https://openalex.org/I173911158","display_name":"Iowa State University","ror":"https://ror.org/04rswrd78","country_code":"US","type":"education","lineage":["https://openalex.org/I173911158"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Joseph W. Iverson","raw_affiliation_strings":["Department of Mathematics, Iowa State University, Ames, IA, USA"],"raw_orcid":"https://orcid.org/0000-0002-4401-2455","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Iowa State University, Ames, IA, USA","institution_ids":["https://openalex.org/I173911158"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0056369,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"71","issue":"4","first_page":"3203","last_page":"3213"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9840999841690063,"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":0.9840999841690063,"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/grassmannian","display_name":"Grassmannian","score":0.7783705592155457},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4481366276741028},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4427953362464905},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41584721207618713},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34613388776779175},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.27105289697647095},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2647235095500946}],"concepts":[{"id":"https://openalex.org/C162929932","wikidata":"https://www.wikidata.org/wiki/Q129638","display_name":"Grassmannian","level":2,"score":0.7783705592155457},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4481366276741028},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4427953362464905},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41584721207618713},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34613388776779175},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.27105289697647095},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2647235095500946}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2025.3536324","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2025.3536324","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1039102933","display_name":null,"funder_award_id":"2220301","funder_id":"https://openalex.org/F4320337380","funder_display_name":"Division of Mathematical Sciences"},{"id":"https://openalex.org/G5773616795","display_name":null,"funder_award_id":"FA9550-20-F-0005","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G8368681765","display_name":null,"funder_award_id":"FA8750-15-3-6003","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G8771116930","display_name":null,"funder_award_id":"FA9550-15-0001","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"}],"funders":[{"id":"https://openalex.org/F4320306164","display_name":"Simons Foundation","ror":"https://ror.org/01cmst727"},{"id":"https://openalex.org/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W1674264077","https://openalex.org/W1966907097","https://openalex.org/W1976995585","https://openalex.org/W1981270255","https://openalex.org/W1989224390","https://openalex.org/W2003667543","https://openalex.org/W2005969771","https://openalex.org/W2009712490","https://openalex.org/W2035469609","https://openalex.org/W2057330835","https://openalex.org/W2057552658","https://openalex.org/W2060328531","https://openalex.org/W2086869478","https://openalex.org/W2101985762","https://openalex.org/W2116148865","https://openalex.org/W2121743251","https://openalex.org/W2135780853","https://openalex.org/W2138548210","https://openalex.org/W2140122025","https://openalex.org/W2147276092","https://openalex.org/W2594481206","https://openalex.org/W2608678408","https://openalex.org/W2946208800","https://openalex.org/W2962957582","https://openalex.org/W3003453966","https://openalex.org/W3011634485","https://openalex.org/W3203650895","https://openalex.org/W4224927664","https://openalex.org/W4230618858","https://openalex.org/W4238591275","https://openalex.org/W4246452394","https://openalex.org/W4247063378","https://openalex.org/W4249553427","https://openalex.org/W6636330067","https://openalex.org/W6637411667","https://openalex.org/W6660258291","https://openalex.org/W6756369706","https://openalex.org/W6779544557","https://openalex.org/W6782959531","https://openalex.org/W6870189147"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W2949222060","https://openalex.org/W2899451587","https://openalex.org/W2067929456","https://openalex.org/W2345391861","https://openalex.org/W4298056360","https://openalex.org/W1494127436","https://openalex.org/W2807858721"],"abstract_inverted_index":{"Every":[0],"equi-isoclinic":[1],"tight":[2],"fusion":[3],"frame":[4],"(EITFF)":[5],"is":[6,34,82,99,106],"a":[7,13,19],"type":[8],"of":[9,16,18,32,53,60,79,85,87],"optimal":[10],"code":[11],"in":[12,72],"Grassmannian,":[14],"consisting":[15],"subspaces":[17,81],"finite-dimensional":[20],"Hilbert":[21],"space":[22],"for":[23,50],"which":[24],"the":[25,73,77,80,88],"smallest":[26],"principal":[27],"angle":[28],"between":[29],"any":[30],"pair":[31],"them":[33],"as":[35,37],"large":[36],"possible.":[38],"EITFFs":[39,71],"yield":[40],"dictionaries":[41],"with":[42],"minimal":[43],"block":[44],"coherence":[45],"and":[46,62],"so":[47],"are":[48],"ideal":[49],"certain":[51],"types":[52],"compressed":[54],"sensing.":[55],"By":[56],"refining":[57],"classical":[58],"work":[59],"Lemmens":[61],"Seidel":[63],"based":[64],"on":[65],"Radon-Hurwitz":[66],"theory,":[67],"we":[68],"fully":[69],"characterize":[70],"special":[74],"case":[75],"where":[76,102],"dimension":[78],"exactly":[83],"one-half":[84],"that":[86,94],"ambient":[89],"space.":[90],"We":[91],"moreover":[92],"show":[93],"each":[95],"such":[96],"\u201cRadon-Hurwitz":[97],"EITFF\u201d":[98],"highly":[100],"symmetric,":[101],"every":[103],"even":[104],"permutation":[105],"an":[107],"automorphism.":[108]},"counts_by_year":[],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}