{"id":"https://openalex.org/W2128821244","doi":"https://doi.org/10.1109/tit.1983.1056664","title":"On the uniqueness of a certain thin near octagon (or partial 2-geometry, or parallelism) derived from the binary Golay code","display_name":"On the uniqueness of a certain thin near octagon (or partial 2-geometry, or parallelism) derived from the binary Golay code","publication_year":1983,"publication_date":"1983-05-01","ids":{"openalex":"https://openalex.org/W2128821244","doi":"https://doi.org/10.1109/tit.1983.1056664","mag":"2128821244"},"language":"en","primary_location":{"id":"doi:10.1109/tit.1983.1056664","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1983.1056664","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":true,"oa_status":"green","oa_url":"https://ir.cwi.nl/pub/2585/2585D.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5109205453","display_name":"A. Brouwer","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"A. Brouwer","raw_affiliation_strings":["Mathematical Centre, Amsterdam, Netherlands"],"affiliations":[{"raw_affiliation_string":"Mathematical Centre, Amsterdam, Netherlands","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5109205453"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":19,"citation_normalized_percentile":{"value":0.1831663,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"29","issue":"3","first_page":"370","last_page":"371"},"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/T10849","display_name":"Finite Group Theory Research","score":0.9965000152587891,"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"}},{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.996399998664856,"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/conjecture","display_name":"Conjecture","score":0.7895292043685913},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.6416035294532776},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4999523162841797},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.42821893095970154},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4264396131038666},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4256304204463959},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40535104274749756},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3968766927719116},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.10793831944465637}],"concepts":[{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.7895292043685913},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.6416035294532776},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4999523162841797},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.42821893095970154},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4264396131038666},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4256304204463959},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40535104274749756},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3968766927719116},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.10793831944465637},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"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":5,"locations":[{"id":"doi:10.1109/tit.1983.1056664","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1983.1056664","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"},{"id":"pmh:oai:pure.tue.nl:openaire_cris_publications/d1e9d3d3-7296-4861-96bf-930df432b040","is_oa":false,"landing_page_url":"https://research.tue.nl/en/publications/d1e9d3d3-7296-4861-96bf-930df432b040","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Brouwer, A E 1983, 'On the uniqueness of a certain thin near octagon (or partial 2-geometry, or parallelism) derived from the binary Golay code', IEEE Transactions on Information Theory, vol. 29, no. 3, pp. 370-371. https://doi.org/10.1109/TIT.1983.1056664","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:cwi.nl:2585","is_oa":true,"landing_page_url":"https://ir.cwi.nl/pub/2585","pdf_url":"https://ir.cwi.nl/pub/2585/2585D.pdf","source":{"id":"https://openalex.org/S7407055335","display_name":"Centrum Wiskunde & Informatica (CWI), the national research institute for mathematics and computer science in the Netherlands","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Information Theory vol. 29 no. 3, pp. 370-371","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:library.tue.nl:656786","is_oa":false,"landing_page_url":"http://repository.tue.nl/656786","pdf_url":null,"source":{"id":"https://openalex.org/S4406923046","display_name":"TU/e Research Portal (Eindhoven University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN:0018-9448","raw_type":"Article / Letter to the editor"},{"id":"pmh:tue:oai:pure.tue.nl:publications/d1e9d3d3-7296-4861-96bf-930df432b040","is_oa":false,"landing_page_url":"https://research.tue.nl/nl/publications/d1e9d3d3-7296-4861-96bf-930df432b040","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Information Theory, 29(3), 370 - 371. Institute of Electrical and Electronics Engineers","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:cwi.nl:2585","is_oa":true,"landing_page_url":"https://ir.cwi.nl/pub/2585","pdf_url":"https://ir.cwi.nl/pub/2585/2585D.pdf","source":{"id":"https://openalex.org/S7407055335","display_name":"Centrum Wiskunde & Informatica (CWI), the national research institute for mathematics and computer science in the Netherlands","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Information Theory vol. 29 no. 3, pp. 370-371","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2128821244.pdf","grobid_xml":"https://content.openalex.org/works/W2128821244.grobid-xml"},"referenced_works_count":4,"referenced_works":["https://openalex.org/W136921423","https://openalex.org/W399101440","https://openalex.org/W1606480398","https://openalex.org/W2063445159"],"related_works":["https://openalex.org/W571281153","https://openalex.org/W2949403936","https://openalex.org/W3023806604","https://openalex.org/W2952139525","https://openalex.org/W4301247218","https://openalex.org/W2129818458","https://openalex.org/W4243074410","https://openalex.org/W4289551052","https://openalex.org/W4390756076","https://openalex.org/W2340777379"],"abstract_inverted_index":{"The":[0],"question":[1],"of":[2,5,59,62,94],"the":[3,17,31,57,92],"uniqueness":[4],"a":[6,50,60,87,95],"certain":[7],"combinatorial":[8],"structure":[9],"has":[10],"arisen":[11],"in":[12],"three":[13,39],"contexts:":[14],"a)":[15],"is":[16,30,48,56],"regular":[18],"near":[19],"octagon":[20],"with":[21,37,66],"parameters":[22],"<tex":[23,33,42,63],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[24,34,43,64],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">(s,t_{2},t_{3},t)=(1,":[25],"1,2,23)</tex>":[26],"unique":[27,45,51],"[5]?":[28],"b)":[29],"partial":[32],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</tex>":[35],"-geometry":[36],"nexus":[38],"and":[40,78],"blocksize":[41],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">24</tex>":[44],"[2]?":[46],"c)":[47],"there":[49],"graph":[52,58],"such":[53],"that":[54,73],"it":[55],"parallelism":[61],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">\\left(^{24}_{4}\\right)</tex>":[65],"respect":[67],"to":[68],"any":[69],"[1]?":[70],"We":[71],"observe":[72],"these":[74],"questions":[75],"are":[76],"equivalent":[77],"give":[79],"an":[80],"affirmative":[81],"answer.":[82],"In":[83],"fact,":[84],"we":[85],"prove":[86],"more":[88],"general":[89],"theorem,":[90],"showing":[91],"truth":[93],"conjecture":[96],"by":[97],"Cameron.":[98]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}