{"id":"https://openalex.org/W3017065467","doi":"https://doi.org/10.1007/s00200-020-00429-9","title":"A trigonometric approach for Dickson polynomials over fields of characteristic two","display_name":"A trigonometric approach for Dickson polynomials over fields of characteristic two","publication_year":2020,"publication_date":"2020-04-15","ids":{"openalex":"https://openalex.org/W3017065467","doi":"https://doi.org/10.1007/s00200-020-00429-9","mag":"3017065467"},"language":"en","primary_location":{"id":"doi:10.1007/s00200-020-00429-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00200-020-00429-9","pdf_url":null,"source":{"id":"https://openalex.org/S44535979","display_name":"Applicable Algebra in Engineering Communication and Computing","issn_l":"0938-1279","issn":["0938-1279","1432-0622"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applicable Algebra in Engineering, Communication and Computing","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/A5030282439","display_name":"Juliano B. Lima","orcid":"https://orcid.org/0000-0002-1474-1147"},"institutions":[{"id":"https://openalex.org/I25112270","display_name":"Universidade Federal de Pernambuco","ror":"https://ror.org/047908t24","country_code":"BR","type":"education","lineage":["https://openalex.org/I25112270"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Juliano B. Lima","raw_affiliation_strings":["Department of Electronics and Systems, Federal University of Pernambuco, Recife, Brazil"],"affiliations":[{"raw_affiliation_string":"Department of Electronics and Systems, Federal University of Pernambuco, Recife, Brazil","institution_ids":["https://openalex.org/I25112270"]}]},{"author_position":"last","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":true,"raw_author_name":"Daniel Panario","raw_affiliation_strings":["School of Mathematics and Statistics, Carleton University, Ottawa, Canada"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Carleton University, Ottawa, Canada","institution_ids":["https://openalex.org/I67031392"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5017417125"],"corresponding_institution_ids":["https://openalex.org/I67031392"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.5487,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.7271592,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"31","issue":"3-4","first_page":"253","last_page":"270"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9947999715805054,"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":0.9947999715805054,"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/T12037","display_name":"Algebraic and Geometric Analysis","score":0.9811000227928162,"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"}},{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.963100016117096,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/trigonometry","display_name":"Trigonometry","score":0.8677757382392883},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7340148687362671},{"id":"https://openalex.org/keywords/difference-polynomials","display_name":"Difference polynomials","score":0.5433484315872192},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4726468622684479},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.4659726619720459},{"id":"https://openalex.org/keywords/discrete-orthogonal-polynomials","display_name":"Discrete orthogonal polynomials","score":0.4580702781677246},{"id":"https://openalex.org/keywords/trigonometric-polynomial","display_name":"Trigonometric polynomial","score":0.4502418339252472},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.44312381744384766},{"id":"https://openalex.org/keywords/classical-orthogonal-polynomials","display_name":"Classical orthogonal polynomials","score":0.424172043800354},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.4147525429725647},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3347812294960022},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2260414958000183}],"concepts":[{"id":"https://openalex.org/C29001434","wikidata":"https://www.wikidata.org/wiki/Q8084","display_name":"Trigonometry","level":2,"score":0.8677757382392883},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7340148687362671},{"id":"https://openalex.org/C86607863","wikidata":"https://www.wikidata.org/wiki/Q5275279","display_name":"Difference polynomials","level":3,"score":0.5433484315872192},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4726468622684479},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4659726619720459},{"id":"https://openalex.org/C52537462","wikidata":"https://www.wikidata.org/wiki/Q5282055","display_name":"Discrete orthogonal polynomials","level":3,"score":0.4580702781677246},{"id":"https://openalex.org/C156760230","wikidata":"https://www.wikidata.org/wiki/Q1969650","display_name":"Trigonometric polynomial","level":3,"score":0.4502418339252472},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.44312381744384766},{"id":"https://openalex.org/C21736991","wikidata":"https://www.wikidata.org/wiki/Q17006917","display_name":"Classical orthogonal polynomials","level":3,"score":0.424172043800354},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.4147525429725647},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3347812294960022},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2260414958000183}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00200-020-00429-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00200-020-00429-9","pdf_url":null,"source":{"id":"https://openalex.org/S44535979","display_name":"Applicable Algebra in Engineering Communication and Computing","issn_l":"0938-1279","issn":["0938-1279","1432-0622"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applicable Algebra in Engineering, Communication and Computing","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":25,"referenced_works":["https://openalex.org/W87603620","https://openalex.org/W639887749","https://openalex.org/W1263899409","https://openalex.org/W1970944696","https://openalex.org/W1981390880","https://openalex.org/W1998816295","https://openalex.org/W1999421523","https://openalex.org/W2000670817","https://openalex.org/W2041398745","https://openalex.org/W2061818608","https://openalex.org/W2078442648","https://openalex.org/W2082337615","https://openalex.org/W2112043763","https://openalex.org/W2137326966","https://openalex.org/W2152645393","https://openalex.org/W2157722058","https://openalex.org/W2301421650","https://openalex.org/W2327404718","https://openalex.org/W2402083131","https://openalex.org/W2477064046","https://openalex.org/W2477775364","https://openalex.org/W2613956024","https://openalex.org/W2949404011","https://openalex.org/W2954309915","https://openalex.org/W4233723966"],"related_works":["https://openalex.org/W2072647369","https://openalex.org/W2168893271","https://openalex.org/W3048283427","https://openalex.org/W2070537393","https://openalex.org/W4380152001","https://openalex.org/W2045154321","https://openalex.org/W4322760296","https://openalex.org/W4289981906","https://openalex.org/W4298153664","https://openalex.org/W2472160118"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}