{"id":"https://openalex.org/W2148989022","doi":"https://doi.org/10.1109/tit.1983.1056617","title":"Monomials of orders 7 and 11 cannot be in the group of a (24, 12, 10) self-dual quaternary code (Corresp.)","display_name":"Monomials of orders 7 and 11 cannot be in the group of a (24, 12, 10) self-dual quaternary code (Corresp.)","publication_year":1983,"publication_date":"1983-01-01","ids":{"openalex":"https://openalex.org/W2148989022","doi":"https://doi.org/10.1109/tit.1983.1056617","mag":"2148989022"},"language":"en","primary_location":{"id":"doi:10.1109/tit.1983.1056617","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1983.1056617","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/A5047547279","display_name":"J. Conway","orcid":"https://orcid.org/0000-0003-2719-5779"},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"J. Conway","raw_affiliation_strings":["Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, Cambridge, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, Cambridge, UK","institution_ids":["https://openalex.org/I241749"]}]},{"author_position":"last","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":["Department of Mathematics, University of Illinois, Chicago, IL, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Illinois, Chicago, IL, USA","institution_ids":["https://openalex.org/I39422238"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.18655804,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"29","issue":"1","first_page":"137","last_page":"140"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9998000264167786,"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":0.9998000264167786,"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":0.984000027179718,"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":0.982200026512146,"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/monomial","display_name":"Monomial","score":0.7905898690223694},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.6347577571868896},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5658974051475525},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.5309089422225952},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4267825484275818},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3976951241493225},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39569252729415894},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.12149873375892639},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.11822330951690674},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.09228560328483582},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.08998799324035645}],"concepts":[{"id":"https://openalex.org/C11252640","wikidata":"https://www.wikidata.org/wiki/Q243723","display_name":"Monomial","level":2,"score":0.7905898690223694},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.6347577571868896},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5658974051475525},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.5309089422225952},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4267825484275818},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3976951241493225},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39569252729415894},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.12149873375892639},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.11822330951690674},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.09228560328483582},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.08998799324035645}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.1983.1056617","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1983.1056617","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":[{"id":"https://openalex.org/F4320332697","display_name":"University of Illinois at Chicago","ror":"https://ror.org/02mpq6x41"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1606480398","https://openalex.org/W1980273148","https://openalex.org/W1981783366","https://openalex.org/W1984247988","https://openalex.org/W2034885014","https://openalex.org/W2037342473","https://openalex.org/W2055612569","https://openalex.org/W2111381006","https://openalex.org/W2156336703","https://openalex.org/W2917046494","https://openalex.org/W4234345623"],"related_works":["https://openalex.org/W2059610094","https://openalex.org/W1977013452","https://openalex.org/W2749573397","https://openalex.org/W2463560742","https://openalex.org/W1500778847","https://openalex.org/W3175123745","https://openalex.org/W2046491650","https://openalex.org/W2612621433","https://openalex.org/W2040288951","https://openalex.org/W2424709667"],"abstract_inverted_index":{"It":[0,18],"is":[1,74],"an":[2],"interesting":[3],"open":[4],"question":[5],"whether":[6],"a":[7],"self-dual":[8],"quaternary":[9],"<tex":[10,14,39,69],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[11,15,40,70],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">(24,12,10)</tex>":[12],"code":[13],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">C</tex>":[16,41,71],"exists.":[17],"was":[19],"shown":[20],"by":[21,76],"Conway":[22],"and":[23,45,53,86],"Pless":[24],"that":[25],"the":[26,36,66,78,81],"only":[27,56],"primes":[28],"which":[29],"can":[30],"be":[31],"orders":[32,62],"of":[33,38,63,68,83],"permutations":[34,58],"in":[35,65,91],"group":[37,67],"are":[42],"11,":[43],"7,":[44],"3.":[46],"In":[47],"this":[48],"correspondence":[49],"we":[50],"eliminate":[51],"11":[52],"7":[54],"not":[55],"as":[57,61],"but":[59],"also":[60],"monomials":[64],".":[72],"This":[73],"done":[75],"reducing":[77],"problems":[79],"to":[80],"consideration":[82],"several":[84],"codes":[85],"finding":[87],"low":[88],"weight":[89],"vectors":[90],"these":[92],"codes.":[93]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}