{"id":"https://openalex.org/W2272944842","doi":"https://doi.org/10.1007/s00200-015-0277-0","title":"Euclidean self-dual codes over non-commutative Frobenius rings","display_name":"Euclidean self-dual codes over non-commutative Frobenius rings","publication_year":2015,"publication_date":"2015-10-24","ids":{"openalex":"https://openalex.org/W2272944842","doi":"https://doi.org/10.1007/s00200-015-0277-0","mag":"2272944842"},"language":"en","primary_location":{"id":"doi:10.1007/s00200-015-0277-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00200-015-0277-0","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/A5059969175","display_name":"Steven T. Dougherty","orcid":"https://orcid.org/0000-0003-4877-1923"},"institutions":[{"id":"https://openalex.org/I124113063","display_name":"University of Scranton","ror":"https://ror.org/05xwb6v37","country_code":"US","type":"education","lineage":["https://openalex.org/I124113063"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Steven T. Dougherty","raw_affiliation_strings":["Department of Mathematics, University of Scranton, Scranton, PA, 18518, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Scranton, Scranton, PA, 18518, USA","institution_ids":["https://openalex.org/I124113063"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052654067","display_name":"Andr\u00e9 Leroy","orcid":"https://orcid.org/0000-0002-8486-584X"},"institutions":[{"id":"https://openalex.org/I44563897","display_name":"Universit\u00e9 d'Artois","ror":"https://ror.org/053x9s498","country_code":"FR","type":"education","lineage":["https://openalex.org/I44563897"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Andr\u00e9 Leroy","raw_affiliation_strings":["Facult\u00e9 Jean Perrin, Universit\u00e9 d\u2019Artois, Lens, France","Facult\u00e9 Jean Perrin, Universit\u00e9 d'Artois, Lens, France"],"affiliations":[{"raw_affiliation_string":"Facult\u00e9 Jean Perrin, Universit\u00e9 d\u2019Artois, Lens, France","institution_ids":["https://openalex.org/I44563897"]},{"raw_affiliation_string":"Facult\u00e9 Jean Perrin, Universit\u00e9 d'Artois, Lens, France","institution_ids":["https://openalex.org/I44563897"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5059969175"],"corresponding_institution_ids":["https://openalex.org/I124113063"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.785,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.89257782,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"27","issue":"3","first_page":"185","last_page":"203"},"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/T10849","display_name":"Finite Group Theory Research","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T11797","display_name":"graph theory and CDMA systems","score":0.996399998664856,"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/dual","display_name":"Dual (grammatical number)","score":0.7642198801040649},{"id":"https://openalex.org/keywords/commutative-ring","display_name":"Commutative ring","score":0.6112307906150818},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5746325254440308},{"id":"https://openalex.org/keywords/ring","display_name":"Ring (chemistry)","score":0.5434716939926147},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.49306032061576843},{"id":"https://openalex.org/keywords/commutative-property","display_name":"Commutative property","score":0.47541671991348267},{"id":"https://openalex.org/keywords/frobenius-algebra","display_name":"Frobenius algebra","score":0.4661003351211548},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3103460669517517},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.2698320746421814},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.061130374670028687},{"id":"https://openalex.org/keywords/algebra-representation","display_name":"Algebra representation","score":0.06034409999847412}],"concepts":[{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.7642198801040649},{"id":"https://openalex.org/C161491579","wikidata":"https://www.wikidata.org/wiki/Q858656","display_name":"Commutative ring","level":3,"score":0.6112307906150818},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5746325254440308},{"id":"https://openalex.org/C2780378348","wikidata":"https://www.wikidata.org/wiki/Q25351438","display_name":"Ring (chemistry)","level":2,"score":0.5434716939926147},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.49306032061576843},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.47541671991348267},{"id":"https://openalex.org/C180950851","wikidata":"https://www.wikidata.org/wiki/Q5505100","display_name":"Frobenius algebra","level":4,"score":0.4661003351211548},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3103460669517517},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.2698320746421814},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.061130374670028687},{"id":"https://openalex.org/C14394260","wikidata":"https://www.wikidata.org/wiki/Q4723980","display_name":"Algebra representation","level":3,"score":0.06034409999847412},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00200-015-0277-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00200-015-0277-0","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W85833243","https://openalex.org/W151567740","https://openalex.org/W164587987","https://openalex.org/W1579739595","https://openalex.org/W1606480398","https://openalex.org/W1965440796","https://openalex.org/W1973174922","https://openalex.org/W1978924472","https://openalex.org/W2040009340","https://openalex.org/W2060414828","https://openalex.org/W2066263376","https://openalex.org/W2093455304","https://openalex.org/W2135472283","https://openalex.org/W2151813678","https://openalex.org/W2164748522","https://openalex.org/W2184289418","https://openalex.org/W4211147273","https://openalex.org/W4249999774"],"related_works":["https://openalex.org/W4308298797","https://openalex.org/W4255963200","https://openalex.org/W2360590989","https://openalex.org/W4255391830","https://openalex.org/W2369074270","https://openalex.org/W2408222820","https://openalex.org/W2253391970","https://openalex.org/W2015466415","https://openalex.org/W2953844587","https://openalex.org/W1565509971"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
