{"id":"https://openalex.org/W2792353307","doi":"https://doi.org/10.1007/s10623-018-0469-2","title":"Lexicodes over finite principal ideal rings","display_name":"Lexicodes over finite principal ideal rings","publication_year":2018,"publication_date":"2018-02-23","ids":{"openalex":"https://openalex.org/W2792353307","doi":"https://doi.org/10.1007/s10623-018-0469-2","mag":"2792353307"},"language":"en","primary_location":{"id":"doi:10.1007/s10623-018-0469-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-018-0469-2","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/A5088169828","display_name":"Jared Antrobus","orcid":"https://orcid.org/0000-0001-6635-2736"},"institutions":[{"id":"https://openalex.org/I143302722","display_name":"University of Kentucky","ror":"https://ror.org/02k3smh20","country_code":"US","type":"education","lineage":["https://openalex.org/I143302722"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jared Antrobus","raw_affiliation_strings":["Department of Mathematics, University of Kentucky, Lexington, KY, 40506-0027, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Kentucky, Lexington, KY, 40506-0027, USA","institution_ids":["https://openalex.org/I143302722"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089040743","display_name":"Heide Gluesing-Luerssen","orcid":"https://orcid.org/0000-0002-2780-192X"},"institutions":[{"id":"https://openalex.org/I143302722","display_name":"University of Kentucky","ror":"https://ror.org/02k3smh20","country_code":"US","type":"education","lineage":["https://openalex.org/I143302722"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Heide Gluesing-Luerssen","raw_affiliation_strings":["Department of Mathematics, University of Kentucky, Lexington, KY, 40506-0027, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Kentucky, Lexington, KY, 40506-0027, USA","institution_ids":["https://openalex.org/I143302722"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5088169828"],"corresponding_institution_ids":["https://openalex.org/I143302722"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09471884,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"86","issue":"11","first_page":"2661","last_page":"2676"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11703","display_name":"Rings, Modules, and Algebras","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11703","display_name":"Rings, Modules, and Algebras","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/T11130","display_name":"Coding theory and cryptography","score":0.9986000061035156,"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/principal-ideal","display_name":"Principal ideal","score":0.8091335892677307},{"id":"https://openalex.org/keywords/lexicographical-order","display_name":"Lexicographical order","score":0.7531495690345764},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.7391610145568848},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6714852452278137},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.6668627262115479},{"id":"https://openalex.org/keywords/gr\u00f6bner-basis","display_name":"Gr\u00f6bner basis","score":0.6335220336914062},{"id":"https://openalex.org/keywords/ring","display_name":"Ring (chemistry)","score":0.608788013458252},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4359686076641083},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.42778000235557556},{"id":"https://openalex.org/keywords/finite-set","display_name":"Finite set","score":0.42467084527015686},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.4234689772129059},{"id":"https://openalex.org/keywords/principal-ideal-ring","display_name":"Principal ideal ring","score":0.4178139865398407},{"id":"https://openalex.org/keywords/partially-ordered-set","display_name":"Partially ordered set","score":0.4169146418571472},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3876756429672241},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33578890562057495},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20301473140716553},{"id":"https://openalex.org/keywords/commutative-ring","display_name":"Commutative ring","score":0.15306970477104187},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08804458379745483},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07231059670448303}],"concepts":[{"id":"https://openalex.org/C78766492","wikidata":"https://www.wikidata.org/wiki/Q44382","display_name":"Principal ideal","level":3,"score":0.8091335892677307},{"id":"https://openalex.org/C159254197","wikidata":"https://www.wikidata.org/wiki/Q1144915","display_name":"Lexicographical order","level":2,"score":0.7531495690345764},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.7391610145568848},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6714852452278137},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.6668627262115479},{"id":"https://openalex.org/C198082693","wikidata":"https://www.wikidata.org/wiki/Q1551631","display_name":"Gr\u00f6bner basis","level":3,"score":0.6335220336914062},{"id":"https://openalex.org/C2780378348","wikidata":"https://www.wikidata.org/wiki/Q25351438","display_name":"Ring (chemistry)","level":2,"score":0.608788013458252},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4359686076641083},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.42778000235557556},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.42467084527015686},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.4234689772129059},{"id":"https://openalex.org/C156923205","wikidata":"https://www.wikidata.org/wiki/Q2905043","display_name":"Principal ideal ring","level":4,"score":0.4178139865398407},{"id":"https://openalex.org/C180645754","wikidata":"https://www.wikidata.org/wiki/Q474715","display_name":"Partially ordered set","level":2,"score":0.4169146418571472},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3876756429672241},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33578890562057495},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20301473140716553},{"id":"https://openalex.org/C161491579","wikidata":"https://www.wikidata.org/wiki/Q858656","display_name":"Commutative ring","level":3,"score":0.15306970477104187},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08804458379745483},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07231059670448303},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.0},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.0},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10623-018-0469-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-018-0469-2","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":[{"id":"https://openalex.org/G4459851021","display_name":null,"funder_award_id":"422479","funder_id":"https://openalex.org/F4320306164","funder_display_name":"Simons Foundation"},{"id":"https://openalex.org/G8078468315","display_name":null,"funder_award_id":"DMS-1210061","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306164","display_name":"Simons Foundation","ror":"https://ror.org/01cmst727"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1504030323","https://openalex.org/W1517625058","https://openalex.org/W1551018093","https://openalex.org/W1559343931","https://openalex.org/W1590335557","https://openalex.org/W1973174922","https://openalex.org/W1984252854","https://openalex.org/W1984488462","https://openalex.org/W2046471908","https://openalex.org/W2065577091","https://openalex.org/W2067089839","https://openalex.org/W2076375096","https://openalex.org/W2082229176","https://openalex.org/W2099479910","https://openalex.org/W2142035596","https://openalex.org/W2471342003","https://openalex.org/W2912221431","https://openalex.org/W2914659449","https://openalex.org/W4206775542","https://openalex.org/W4292101298"],"related_works":["https://openalex.org/W2030040278","https://openalex.org/W2277198065","https://openalex.org/W2592998205","https://openalex.org/W2947105448","https://openalex.org/W4254795303","https://openalex.org/W604413008","https://openalex.org/W4287758001","https://openalex.org/W2183907212","https://openalex.org/W1587033807","https://openalex.org/W2389125640"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}