{"id":"https://openalex.org/W2055726455","doi":"https://doi.org/10.1109/tit.1980.1056195","title":"Ternary codes of minimum weight 6 and the classification of the self-dual codes of length 20","display_name":"Ternary codes of minimum weight 6 and the classification of the self-dual codes of length 20","publication_year":1980,"publication_date":"1980-05-01","ids":{"openalex":"https://openalex.org/W2055726455","doi":"https://doi.org/10.1109/tit.1980.1056195","mag":"2055726455"},"language":"en","primary_location":{"id":"doi:10.1109/tit.1980.1056195","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1980.1056195","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","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/A5052458305","display_name":"Vera Pless","orcid":null},"institutions":[{"id":"https://openalex.org/I39422238","display_name":"University of Illinois Chicago","ror":"https://ror.org/02mpq6x41","country_code":"US","type":"education","lineage":["https://openalex.org/I39422238"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"V. Pless","raw_affiliation_strings":["Mathematics Department, University of Illinois, Chicago, Chicago, IL, USA","[Mathematics Department, University of Illinois, Chicago, Chicago, IL, USA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Department, University of Illinois, Chicago, Chicago, IL, USA","institution_ids":["https://openalex.org/I39422238"]},{"raw_affiliation_string":"[Mathematics Department, University of Illinois, Chicago, Chicago, IL, USA]","institution_ids":["https://openalex.org/I39422238"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005915779","display_name":"N. J. A. Sloane","orcid":"https://orcid.org/0000-0001-7386-5222"},"institutions":[{"id":"https://openalex.org/I72090969","display_name":"Nokia (United States)","ror":"https://ror.org/038km2573","country_code":"US","type":"company","lineage":["https://openalex.org/I2738502077","https://openalex.org/I72090969"]},{"id":"https://openalex.org/I73544541","display_name":"Mathematical Sciences Research Institute","ror":"https://ror.org/05hs5r386","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I73544541"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"N. Sloane","raw_affiliation_strings":["Mathematics Research Center, Bell Laboratories, Inc., Murray Hill, NJ, USA","[Mathematics Research Center, Bell Laboratories, Inc., Murray Hill, NJ, USA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Research Center, Bell Laboratories, Inc., Murray Hill, NJ, USA","institution_ids":["https://openalex.org/I73544541"]},{"raw_affiliation_string":"[Mathematics Research Center, Bell Laboratories, Inc., Murray Hill, NJ, USA]","institution_ids":["https://openalex.org/I72090969"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030101779","display_name":"Harold N. Ward","orcid":"https://orcid.org/0000-0003-1991-2184"},"institutions":[{"id":"https://openalex.org/I51556381","display_name":"University of Virginia","ror":"https://ror.org/0153tk833","country_code":"US","type":"education","lineage":["https://openalex.org/I51556381"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"H. Ward","raw_affiliation_strings":["Mathematics Department, University of Virginia, Charlottesville, VA, USA","[Mathematics Department, University of Virginia, Charlottesville, VA, USA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Department, University of Virginia, Charlottesville, VA, USA","institution_ids":["https://openalex.org/I51556381"]},{"raw_affiliation_string":"[Mathematics Department, University of Virginia, Charlottesville, VA, USA]","institution_ids":["https://openalex.org/I51556381"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":4.2238,"has_fulltext":false,"cited_by_count":57,"citation_normalized_percentile":{"value":0.94211943,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"26","issue":"3","first_page":"305","last_page":"316"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9782000184059143,"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":0.9556999802589417,"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/computer-science","display_name":"Computer science","score":0.46491628885269165},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.44096314907073975},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.38617509603500366},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37937480211257935},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3390576243400574},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.329675555229187},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.09003862738609314}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46491628885269165},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.44096314907073975},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.38617509603500366},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37937480211257935},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3390576243400574},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.329675555229187},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.09003862738609314}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.1980.1056195","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1980.1056195","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","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/W337358633","https://openalex.org/W1499163815","https://openalex.org/W1554857812","https://openalex.org/W1559140118","https://openalex.org/W1606480398","https://openalex.org/W2020733442","https://openalex.org/W2037306962","https://openalex.org/W2049666544","https://openalex.org/W2055612569","https://openalex.org/W2061147538","https://openalex.org/W2111381006","https://openalex.org/W4234345623"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2042127053","https://openalex.org/W2142036596","https://openalex.org/W4238204885"],"abstract_inverted_index":{"Self-orthogonal":[0],"ternary":[1,73],"codes":[2,29,75,87],"of":[3,15,30,35,38,76,85],"minimum":[4,31,89],"weight3may":[5],"be":[6],"analyzed":[7],"in":[8,18,61],"a":[9,25,43,52],"straightforward":[10],"manner":[11],"using":[12],"the":[13,33,36,56,72,86],"theory":[14],"glueing":[16],"introduced":[17],"earlier":[19],"papers.":[20],"The":[21],"present":[22],"paper":[23],"describes":[24],"method":[26],"for":[27],"studying":[28],"weight6:":[32],"supports":[34],"words":[37],"weight6form":[39],"what":[40],"is":[41,51],"called":[42],"center":[44,49],"set.":[45],"Associated":[46],"with":[47],"each":[48],"set":[50],"graph,":[53],"and":[54],"all":[55],"graphs":[57],"that":[58],"can":[59],"arise":[60],"this":[62],"way":[63],"are":[64,68,82],"known.":[65],"These":[66],"techniques":[67],"used":[69],"to":[70],"classify":[71],"self-dual":[74],"length20:":[77],"there":[78],"are24inequivalent":[79],"codes,17of":[80],"which":[81],"indecomposable.":[83],"Six":[84],"have":[88],"weight6.":[90]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}