{"id":"https://openalex.org/W2027233581","doi":"https://doi.org/10.1016/j.ffa.2013.07.004","title":"Existence and properties of k -normal elements over finite fields","display_name":"Existence and properties of k -normal elements over finite fields","publication_year":2013,"publication_date":"2013-08-03","ids":{"openalex":"https://openalex.org/W2027233581","doi":"https://doi.org/10.1016/j.ffa.2013.07.004","mag":"2027233581"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.ffa.2013.07.004","pdf_url":null,"source":{"id":"https://openalex.org/S925225069","display_name":"Finite Fields and Their Applications","issn_l":"1071-5797","issn":["1071-5797","1090-2465"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"publishedVersion","is_accepted":true,"is_published":true},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://doi.org/10.1016/j.ffa.2013.07.004","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5007565202","display_name":"Sophie Huczynska","orcid":"https://orcid.org/0000-0002-0626-7932"},"institutions":[{"id":"https://openalex.org/I16835326","display_name":"University of St Andrews","ror":"https://ror.org/02wn5qz54","country_code":"GB","type":"education","lineage":["https://openalex.org/I16835326"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Sophie Huczynska","raw_affiliation_strings":["School of Mathematics and Statistics, University of St Andrews, St Andrews, Fife\u00a0KY16\u00a09SS, UK"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, University of St Andrews, St Andrews, Fife\u00a0KY16\u00a09SS, UK","institution_ids":["https://openalex.org/I16835326"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077114144","display_name":"Gary L. Mullen","orcid":null},"institutions":[{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Gary L. Mullen","raw_affiliation_strings":["Department of Mathematics; The Pennsylvania State University; University Park PA 16802 USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics; The Pennsylvania State University; University Park PA 16802 USA","institution_ids":["https://openalex.org/I130769515"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017417125","display_name":"Daniel Panario","orcid":"https://orcid.org/0000-0003-3551-4063"},"institutions":[{"id":"https://openalex.org/I67031392","display_name":"Carleton University","ror":"https://ror.org/02qtvee93","country_code":"CA","type":"education","lineage":["https://openalex.org/I67031392"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Daniel Panario","raw_affiliation_strings":["School of Mathematics and Statistics, Carleton University, 1125 Colonel By Dr., Ottawa, ON, K1S 5B6, Canada"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Carleton University, 1125 Colonel By Dr., Ottawa, ON, K1S 5B6, Canada","institution_ids":["https://openalex.org/I67031392"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101540757","display_name":"David Thomson","orcid":"https://orcid.org/0000-0003-1895-2459"},"institutions":[{"id":"https://openalex.org/I67031392","display_name":"Carleton University","ror":"https://ror.org/02qtvee93","country_code":"CA","type":"education","lineage":["https://openalex.org/I67031392"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"David Thomson","raw_affiliation_strings":["School of Mathematics and Statistics, Carleton University, 1125 Colonel By Dr., Ottawa, ON, K1S 5B6, Canada"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Carleton University, 1125 Colonel By Dr., Ottawa, ON, K1S 5B6, Canada","institution_ids":["https://openalex.org/I67031392"]}]}],"institution_assertions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2530,"currency":"USD","value_usd":2530,"provenance":"doaj"},"apc_paid":null,"fwci":0.756,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":38,"citation_normalized_percentile":{"value":0.923949,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":95},"biblio":{"volume":"24","issue":null,"first_page":"170","last_page":"183"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":1.0,"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":1.0,"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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9899,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9753,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/degree","display_name":"Degree (music)","score":0.5686481},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.4119996}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.802829},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.6820797},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.651545},{"id":"https://openalex.org/C203492994","wikidata":"https://www.wikidata.org/wiki/Q909669","display_name":"Divisor (algebraic geometry)","level":2,"score":0.5960429},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.5686481},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.53051156},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.4119996},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3286441},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.18825036},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13939726},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.ffa.2013.07.004","pdf_url":null,"source":{"id":"https://openalex.org/S925225069","display_name":"Finite Fields and Their Applications","issn_l":"1071-5797","issn":["1071-5797","1090-2465"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"publishedVersion","is_accepted":true,"is_published":true}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.ffa.2013.07.004","pdf_url":null,"source":{"id":"https://openalex.org/S925225069","display_name":"Finite Fields and Their Applications","issn_l":"1071-5797","issn":["1071-5797","1090-2465"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"publishedVersion","is_accepted":true,"is_published":true},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":19,"referenced_works":["https://openalex.org/W1559375430","https://openalex.org/W1562183207","https://openalex.org/W1984088659","https://openalex.org/W2010060099","https://openalex.org/W2018968744","https://openalex.org/W2059032030","https://openalex.org/W2064645037","https://openalex.org/W2067032769","https://openalex.org/W2077986508","https://openalex.org/W2079788827","https://openalex.org/W2113672208","https://openalex.org/W2115844022","https://openalex.org/W2162554250","https://openalex.org/W2165674803","https://openalex.org/W2496235769","https://openalex.org/W2613956024","https://openalex.org/W2732251371","https://openalex.org/W4236542016","https://openalex.org/W4308944890"],"related_works":["https://openalex.org/W4367190712","https://openalex.org/W3161230432","https://openalex.org/W3030122561","https://openalex.org/W2806282807","https://openalex.org/W280458463","https://openalex.org/W2368346088","https://openalex.org/W2069914113","https://openalex.org/W1653860348","https://openalex.org/W1521160908","https://openalex.org/W1487201914"],"abstract_inverted_index":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2027233581","counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":5},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-01-08T17:16:56.600643","created_date":"2016-06-24"}