{"id":"https://openalex.org/W3093351165","doi":"https://doi.org/10.1007/s10623-021-00937-w","title":"Grassmannian codes from paired difference sets","display_name":"Grassmannian codes from paired difference sets","publication_year":2021,"publication_date":"2021-09-07","ids":{"openalex":"https://openalex.org/W3093351165","doi":"https://doi.org/10.1007/s10623-021-00937-w","mag":"3093351165"},"language":"en","primary_location":{"id":"doi:10.1007/s10623-021-00937-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-021-00937-w","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/2010.06639","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, 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, 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":"middle","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, USA","Department of Mathematics, Iowa, State University, Ames, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Iowa State University, Ames, USA","institution_ids":["https://openalex.org/I173911158"]},{"raw_affiliation_string":"Department of Mathematics, Iowa, State University, Ames, USA","institution_ids":["https://openalex.org/I173911158"]}]},{"author_position":"middle","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, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, South Dakota State University, Brookings, USA","institution_ids":["https://openalex.org/I177156846"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070483965","display_name":"Emily J. King","orcid":"https://orcid.org/0000-0002-4099-3401"},"institutions":[{"id":"https://openalex.org/I92446798","display_name":"Colorado State University","ror":"https://ror.org/03k1gpj17","country_code":"US","type":"education","lineage":["https://openalex.org/I92446798"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Emily J. King","raw_affiliation_strings":["Department of Mathematics, Colorado State University, Fort Collins, USA","Dept. of Mathematics, Colorado State University, Fort Collins, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Colorado State University, Fort Collins, USA","institution_ids":["https://openalex.org/I92446798"]},{"raw_affiliation_string":"Dept. of Mathematics, Colorado State University, Fort Collins, USA","institution_ids":["https://openalex.org/I92446798"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":0.13,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.53797645,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":"89","issue":"11","first_page":"2553","last_page":"2576"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9987999796867371,"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":0.9987999796867371,"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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":0.9927999973297119,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8491264581680298},{"id":"https://openalex.org/keywords/linear-subspace","display_name":"Linear subspace","score":0.6940248608589172},{"id":"https://openalex.org/keywords/grassmannian","display_name":"Grassmannian","score":0.681707501411438},{"id":"https://openalex.org/keywords/difference-set","display_name":"Difference set","score":0.5465429425239563},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5145863890647888},{"id":"https://openalex.org/keywords/subsequence","display_name":"Subsequence","score":0.5038945078849792},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.4984710216522217},{"id":"https://openalex.org/keywords/simplex","display_name":"Simplex","score":0.4920212924480438},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4658675193786621},{"id":"https://openalex.org/keywords/abelian-group","display_name":"Abelian group","score":0.4627191424369812},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3632848262786865},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.35619252920150757},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16161128878593445}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8491264581680298},{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.6940248608589172},{"id":"https://openalex.org/C162929932","wikidata":"https://www.wikidata.org/wiki/Q129638","display_name":"Grassmannian","level":2,"score":0.681707501411438},{"id":"https://openalex.org/C188204562","wikidata":"https://www.wikidata.org/wiki/Q5275281","display_name":"Difference set","level":3,"score":0.5465429425239563},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5145863890647888},{"id":"https://openalex.org/C137877099","wikidata":"https://www.wikidata.org/wiki/Q1332977","display_name":"Subsequence","level":3,"score":0.5038945078849792},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.4984710216522217},{"id":"https://openalex.org/C62438384","wikidata":"https://www.wikidata.org/wiki/Q331350","display_name":"Simplex","level":2,"score":0.4920212924480438},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4658675193786621},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.4627191424369812},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3632848262786865},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.35619252920150757},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16161128878593445},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","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}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s10623-021-00937-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-021-00937-w","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:2010.06639","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2010.06639","pdf_url":"https://arxiv.org/pdf/2010.06639","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:3093351165","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2010.06639.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.2010.06639","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2010.06639","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:2010.06639","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2010.06639","pdf_url":"https://arxiv.org/pdf/2010.06639","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":[{"id":"https://openalex.org/G2986825735","display_name":null,"funder_award_id":"1830066","funder_id":"https://openalex.org/F4320332172","funder_display_name":"Directorate for Mathematical and Physical Sciences"}],"funders":[{"id":"https://openalex.org/F4320332172","display_name":"Directorate for Mathematical and Physical Sciences","ror":"https://ror.org/029b7h395"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":64,"referenced_works":["https://openalex.org/W1484165462","https://openalex.org/W1489953262","https://openalex.org/W1530075677","https://openalex.org/W1605351220","https://openalex.org/W1674264077","https://openalex.org/W1717934883","https://openalex.org/W1722317191","https://openalex.org/W1824842802","https://openalex.org/W1922605123","https://openalex.org/W1962152306","https://openalex.org/W1966907097","https://openalex.org/W1975463773","https://openalex.org/W1981270255","https://openalex.org/W1989224390","https://openalex.org/W1996425172","https://openalex.org/W1998831922","https://openalex.org/W2010579215","https://openalex.org/W2014143478","https://openalex.org/W2029700997","https://openalex.org/W2035469609","https://openalex.org/W2037286809","https://openalex.org/W2039178006","https://openalex.org/W2055815775","https://openalex.org/W2072565885","https://openalex.org/W2072704718","https://openalex.org/W2083511239","https://openalex.org/W2085396845","https://openalex.org/W2086869478","https://openalex.org/W2091144537","https://openalex.org/W2094366212","https://openalex.org/W2101985762","https://openalex.org/W2110673833","https://openalex.org/W2121743251","https://openalex.org/W2133866430","https://openalex.org/W2138548210","https://openalex.org/W2145988782","https://openalex.org/W2152214775","https://openalex.org/W2183758324","https://openalex.org/W2477460231","https://openalex.org/W2487808983","https://openalex.org/W2575921071","https://openalex.org/W2594481206","https://openalex.org/W2607876372","https://openalex.org/W2608678408","https://openalex.org/W2740403527","https://openalex.org/W2777362694","https://openalex.org/W2912352123","https://openalex.org/W2962957582","https://openalex.org/W2963189652","https://openalex.org/W2963256081","https://openalex.org/W2963357745","https://openalex.org/W2963414895","https://openalex.org/W2963768992","https://openalex.org/W2963799975","https://openalex.org/W2971490515","https://openalex.org/W2982006717","https://openalex.org/W3002857012","https://openalex.org/W3003453966","https://openalex.org/W3035389129","https://openalex.org/W3100136365","https://openalex.org/W3135482717","https://openalex.org/W3159603713","https://openalex.org/W3203650895","https://openalex.org/W6677136645"],"related_works":["https://openalex.org/W3197386222","https://openalex.org/W2963573456","https://openalex.org/W2590521774","https://openalex.org/W3100136365","https://openalex.org/W1994428095","https://openalex.org/W1978215724","https://openalex.org/W3112759858","https://openalex.org/W1976872193","https://openalex.org/W2293486091","https://openalex.org/W2460940459","https://openalex.org/W2397593486","https://openalex.org/W2808445340","https://openalex.org/W2893534094","https://openalex.org/W2952579191","https://openalex.org/W1911804669","https://openalex.org/W2745315734","https://openalex.org/W2057014687","https://openalex.org/W2087218373","https://openalex.org/W3191328806","https://openalex.org/W2285667012"],"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"}
