{"id":"https://openalex.org/W1568015679","doi":"https://doi.org/10.1023/a:1008278312966","title":"The Nonexistence of Ternary [38, 6, 23] Codes","display_name":"The Nonexistence of Ternary [38, 6, 23] Codes","publication_year":1998,"publication_date":"1998-02-01","ids":{"openalex":"https://openalex.org/W1568015679","doi":"https://doi.org/10.1023/a:1008278312966","mag":"1568015679"},"language":"en","primary_location":{"id":"doi:10.1023/a:1008278312966","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1008278312966","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/A5111902551","display_name":"Noboru Hamada","orcid":null},"institutions":[{"id":"https://openalex.org/I163605200","display_name":"Osaka Shoin Women's University","ror":"https://ror.org/04n731m62","country_code":"JP","type":"education","lineage":["https://openalex.org/I163605200"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Noboru Hamada","raw_affiliation_strings":["Department of Applied Mathematics, Osaka Women's University, Daisen-cho, Sakai, Osaka, 590, Japan","Department of Applied Mathematics, Osaka Women\u2018s University, Daisen-cho, Sakai, Osaka 590, Japan. E-mail hamada@appmath.osaka-wu.ac.jp#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Osaka Women's University, Daisen-cho, Sakai, Osaka, 590, Japan","institution_ids":["https://openalex.org/I163605200"]},{"raw_affiliation_string":"Department of Applied Mathematics, Osaka Women\u2018s University, Daisen-cho, Sakai, Osaka 590, Japan. E-mail hamada@appmath.osaka-wu.ac.jp#TAB#","institution_ids":["https://openalex.org/I163605200"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076610343","display_name":"M. van Eupen","orcid":null},"institutions":[{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Marijn Van Eupen","raw_affiliation_strings":["Eindhoven University of Technology, Den Dolech 2, 5600 MB, Eindhoven, The Netherlands","Eindhoven University of Technology Den Dolech 2, 5600 MB Eindhoven, the Netherlands#TAB#"],"affiliations":[{"raw_affiliation_string":"Eindhoven University of Technology, Den Dolech 2, 5600 MB, Eindhoven, The Netherlands","institution_ids":["https://openalex.org/I83019370"]},{"raw_affiliation_string":"Eindhoven University of Technology Den Dolech 2, 5600 MB Eindhoven, the Netherlands#TAB#","institution_ids":["https://openalex.org/I83019370"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5111902551"],"corresponding_institution_ids":["https://openalex.org/I163605200"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.5493,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.73619184,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"13","issue":"2","first_page":"165","last_page":"172"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9998999834060669,"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":0.9998999834060669,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9961000084877014,"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"}},{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.989300012588501,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/ternary-operation","display_name":"Ternary operation","score":0.8637780547142029},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6351751089096069},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.6175389885902405},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5679517984390259},{"id":"https://openalex.org/keywords/ternary-golay-code","display_name":"Ternary Golay code","score":0.45276275277137756},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.4277818500995636},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3761351704597473},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1882178783416748},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.164857417345047},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.12013211846351624},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1075696051120758},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.08544492721557617},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.047883450984954834}],"concepts":[{"id":"https://openalex.org/C64452783","wikidata":"https://www.wikidata.org/wiki/Q1524945","display_name":"Ternary operation","level":2,"score":0.8637780547142029},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6351751089096069},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.6175389885902405},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5679517984390259},{"id":"https://openalex.org/C108906091","wikidata":"https://www.wikidata.org/wiki/Q7702927","display_name":"Ternary Golay code","level":5,"score":0.45276275277137756},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.4277818500995636},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3761351704597473},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1882178783416748},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.164857417345047},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.12013211846351624},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1075696051120758},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.08544492721557617},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.047883450984954834},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.0},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1023/a:1008278312966","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1008278312966","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":16,"referenced_works":["https://openalex.org/W402927393","https://openalex.org/W432064499","https://openalex.org/W1584712108","https://openalex.org/W1978733779","https://openalex.org/W1980272394","https://openalex.org/W1988307462","https://openalex.org/W2030039508","https://openalex.org/W2067442530","https://openalex.org/W2071960949","https://openalex.org/W2083810515","https://openalex.org/W2165464723","https://openalex.org/W2169885621","https://openalex.org/W2330548796","https://openalex.org/W2339663246","https://openalex.org/W2504738263","https://openalex.org/W3151140615"],"related_works":["https://openalex.org/W2093452027","https://openalex.org/W1995177878","https://openalex.org/W2014783995","https://openalex.org/W2165464723","https://openalex.org/W1986433874","https://openalex.org/W3189288785","https://openalex.org/W2120879624","https://openalex.org/W2080283134","https://openalex.org/W2362549098","https://openalex.org/W2377508920"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-04-02T13:48:15.688549","created_date":"2016-06-24T00:00:00"}
