{"id":"https://openalex.org/W4401927353","doi":"https://doi.org/10.1007/s10623-024-01479-7","title":"On the construction of certain odd degree irreducible polynomials over finite fields","display_name":"On the construction of certain odd degree irreducible polynomials over finite fields","publication_year":2024,"publication_date":"2024-08-27","ids":{"openalex":"https://openalex.org/W4401927353","doi":"https://doi.org/10.1007/s10623-024-01479-7"},"language":"en","primary_location":{"id":"doi:10.1007/s10623-024-01479-7","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1007/s10623-024-01479-7","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":["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/A5019768458","display_name":"Melek \u00c7\u0130l","orcid":"https://orcid.org/0000-0001-6136-7322"},"institutions":[{"id":"https://openalex.org/I54515432","display_name":"Burdur Mehmet Akif Ersoy \u00dcniversitesi","ror":"https://ror.org/04xk0dc21","country_code":"TR","type":"education","lineage":["https://openalex.org/I54515432"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Melek \u00c7il","raw_affiliation_strings":["Department of Mathematics, Burdur Mehmet Akif Ersoy University, 15200, Burdur, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Burdur Mehmet Akif Ersoy University, 15200, Burdur, Turkey","institution_ids":["https://openalex.org/I54515432"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089330804","display_name":"Bar\u0131\u015f B\u00fclent K\u0131rlar","orcid":"https://orcid.org/0000-0003-0112-1974"},"institutions":[{"id":"https://openalex.org/I175124709","display_name":"S\u00fcleyman Demirel \u00dcniversitesi","ror":"https://ror.org/04fjtte88","country_code":"TR","type":"education","lineage":["https://openalex.org/I175124709"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Bar\u0131\u015f B\u00fclent K\u0131rlar","raw_affiliation_strings":["Department of Mathematics, S\u00fcleyman Demirel University, 32260, Isparta, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, S\u00fcleyman Demirel University, 32260, Isparta, Turkey","institution_ids":["https://openalex.org/I175124709"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5089330804"],"corresponding_institution_ids":["https://openalex.org/I175124709"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10090684,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"92","issue":"12","first_page":"4085","last_page":"4097"},"is_retracted":false,"is_paratext":false,"is_xpac":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/T10237","display_name":"Cryptography and Data Security","score":0.9977999925613403,"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":0.9969000220298767,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.871979832649231},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.7621694803237915},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.7446686625480652},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.44176286458969116},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.42103147506713867},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.38486069440841675},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3661007285118103}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.871979832649231},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.7621694803237915},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.7446686625480652},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.44176286458969116},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.42103147506713867},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38486069440841675},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3661007285118103},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10623-024-01479-7","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1007/s10623-024-01479-7","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1970072397","https://openalex.org/W1982843093","https://openalex.org/W2030799343","https://openalex.org/W2050122762","https://openalex.org/W2062604976","https://openalex.org/W2068232711","https://openalex.org/W2115443122","https://openalex.org/W2137149976","https://openalex.org/W2144048023","https://openalex.org/W2150795250","https://openalex.org/W2622077319","https://openalex.org/W4234045454"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2399035783","https://openalex.org/W3161230432","https://openalex.org/W4367190712","https://openalex.org/W2168900540","https://openalex.org/W1487201914","https://openalex.org/W4301429470","https://openalex.org/W280458463","https://openalex.org/W1170131723","https://openalex.org/W2964302506"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2025-10-10T00:00:00"}