{"id":"https://openalex.org/W2067442530","doi":"https://doi.org/10.1007/bf00124893","title":"Optimal ternary linear codes","display_name":"Optimal ternary linear codes","publication_year":1992,"publication_date":"1992-06-01","ids":{"openalex":"https://openalex.org/W2067442530","doi":"https://doi.org/10.1007/bf00124893","mag":"2067442530"},"language":"en","primary_location":{"id":"doi:10.1007/bf00124893","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf00124893","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/A5110260922","display_name":"Raymond A. Hill","orcid":null},"institutions":[{"id":"https://openalex.org/I54459138","display_name":"University of Salford","ror":"https://ror.org/01tmqtf75","country_code":"GB","type":"education","lineage":["https://openalex.org/I54459138"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"R. Hill","raw_affiliation_strings":["Department of Mathematics & Computer Science, University of Salford, M5 4WT, Salford, UK","Department of Mathematics and Computer Science, University of Salford, Salford, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics & Computer Science, University of Salford, M5 4WT, Salford, UK","institution_ids":["https://openalex.org/I54459138"]},{"raw_affiliation_string":"Department of Mathematics and Computer Science, University of Salford, Salford, UK","institution_ids":["https://openalex.org/I54459138"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007674243","display_name":"Dillon Newton","orcid":"https://orcid.org/0000-0002-3569-6517"},"institutions":[{"id":"https://openalex.org/I54459138","display_name":"University of Salford","ror":"https://ror.org/01tmqtf75","country_code":"GB","type":"education","lineage":["https://openalex.org/I54459138"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"D. E. Newton","raw_affiliation_strings":["Department of Mathematics & Computer Science, University of Salford, M5 4WT, Salford, UK","Department of Mathematics and Computer Science, University of Salford, Salford, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics & Computer Science, University of Salford, M5 4WT, Salford, UK","institution_ids":["https://openalex.org/I54459138"]},{"raw_affiliation_string":"Department of Mathematics and Computer Science, University of Salford, Salford, UK","institution_ids":["https://openalex.org/I54459138"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5110260922"],"corresponding_institution_ids":["https://openalex.org/I54459138"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":5.5798,"has_fulltext":false,"cited_by_count":83,"citation_normalized_percentile":{"value":0.95773729,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"2","issue":"2","first_page":"137","last_page":"157"},"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9940999746322632,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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":0.9916999936103821,"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/prime-power","display_name":"Prime power","score":0.7256467342376709},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.6965563297271729},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6536912322044373},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.5988566279411316},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.588422417640686},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5743600130081177},{"id":"https://openalex.org/keywords/ternary-operation","display_name":"Ternary operation","score":0.5434653162956238},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.48175525665283203},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.46775010228157043},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.4321364164352417},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16992688179016113},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.0963340699672699},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08710485696792603}],"concepts":[{"id":"https://openalex.org/C174072685","wikidata":"https://www.wikidata.org/wiki/Q1667469","display_name":"Prime power","level":3,"score":0.7256467342376709},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.6965563297271729},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6536912322044373},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.5988566279411316},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.588422417640686},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5743600130081177},{"id":"https://openalex.org/C64452783","wikidata":"https://www.wikidata.org/wiki/Q1524945","display_name":"Ternary operation","level":2,"score":0.5434653162956238},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.48175525665283203},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.46775010228157043},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.4321364164352417},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16992688179016113},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0963340699672699},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08710485696792603},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf00124893","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf00124893","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":18,"referenced_works":["https://openalex.org/W1606480398","https://openalex.org/W1965097372","https://openalex.org/W2017740623","https://openalex.org/W2037342473","https://openalex.org/W2041659729","https://openalex.org/W2050004925","https://openalex.org/W2065370326","https://openalex.org/W2080283134","https://openalex.org/W2084034274","https://openalex.org/W2100230274","https://openalex.org/W2117384753","https://openalex.org/W2117555509","https://openalex.org/W2119995058","https://openalex.org/W2143441313","https://openalex.org/W2340944971","https://openalex.org/W6641636717","https://openalex.org/W6704126114","https://openalex.org/W7042241362"],"related_works":["https://openalex.org/W2885166393","https://openalex.org/W1955455432","https://openalex.org/W4299961354","https://openalex.org/W2543275399","https://openalex.org/W4380141713","https://openalex.org/W2009566949","https://openalex.org/W2972938938","https://openalex.org/W2963746516","https://openalex.org/W1984581523","https://openalex.org/W3195103990"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-05-01T08:36:08.643496","created_date":"2025-10-10T00:00:00"}