{"id":"https://openalex.org/W2045753079","doi":"https://doi.org/10.1007/s10623-009-9311-1","title":"The maximum size of a partial 3-spread in a finite vector space over GF(2)","display_name":"The maximum size of a partial 3-spread in a finite vector space over GF(2)","publication_year":2009,"publication_date":"2009-06-22","ids":{"openalex":"https://openalex.org/W2045753079","doi":"https://doi.org/10.1007/s10623-009-9311-1","mag":"2045753079"},"language":"en","primary_location":{"id":"doi:10.1007/s10623-009-9311-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-009-9311-1","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/A5051716892","display_name":"Saad I. El\u2010Zanati","orcid":"https://orcid.org/0000-0002-7680-5433"},"institutions":[{"id":"https://openalex.org/I47301684","display_name":"Illinois State University","ror":"https://ror.org/050kcr883","country_code":"US","type":"education","lineage":["https://openalex.org/I47301684"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"S. El-Zanati","raw_affiliation_strings":["4520 Mathematics Department, Illinois State University, Normal, IL, 61790-4520, USA","4520 Mathematics Department, Illinois State University, Normal, USA 61790-4520"],"affiliations":[{"raw_affiliation_string":"4520 Mathematics Department, Illinois State University, Normal, IL, 61790-4520, USA","institution_ids":["https://openalex.org/I47301684"]},{"raw_affiliation_string":"4520 Mathematics Department, Illinois State University, Normal, USA 61790-4520","institution_ids":["https://openalex.org/I47301684"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000049465","display_name":"Heather Jordon","orcid":"https://orcid.org/0000-0001-9264-8581"},"institutions":[{"id":"https://openalex.org/I47301684","display_name":"Illinois State University","ror":"https://ror.org/050kcr883","country_code":"US","type":"education","lineage":["https://openalex.org/I47301684"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"H. Jordon","raw_affiliation_strings":["4520 Mathematics Department, Illinois State University, Normal, IL, 61790-4520, USA","4520 Mathematics Department, Illinois State University, Normal, USA 61790-4520"],"affiliations":[{"raw_affiliation_string":"4520 Mathematics Department, Illinois State University, Normal, IL, 61790-4520, USA","institution_ids":["https://openalex.org/I47301684"]},{"raw_affiliation_string":"4520 Mathematics Department, Illinois State University, Normal, USA 61790-4520","institution_ids":["https://openalex.org/I47301684"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084919107","display_name":"George F. Seelinger","orcid":null},"institutions":[{"id":"https://openalex.org/I47301684","display_name":"Illinois State University","ror":"https://ror.org/050kcr883","country_code":"US","type":"education","lineage":["https://openalex.org/I47301684"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"G. Seelinger","raw_affiliation_strings":["4520 Mathematics Department, Illinois State University, Normal, IL, 61790-4520, USA","4520 Mathematics Department, Illinois State University, Normal, USA 61790-4520"],"affiliations":[{"raw_affiliation_string":"4520 Mathematics Department, Illinois State University, Normal, IL, 61790-4520, USA","institution_ids":["https://openalex.org/I47301684"]},{"raw_affiliation_string":"4520 Mathematics Department, Illinois State University, Normal, USA 61790-4520","institution_ids":["https://openalex.org/I47301684"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035763020","display_name":"Papa A. Sissokho","orcid":"https://orcid.org/0000-0001-8897-0201"},"institutions":[{"id":"https://openalex.org/I47301684","display_name":"Illinois State University","ror":"https://ror.org/050kcr883","country_code":"US","type":"education","lineage":["https://openalex.org/I47301684"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"P. Sissokho","raw_affiliation_strings":["4520 Mathematics Department, Illinois State University, Normal, IL, 61790-4520, USA","4520 Mathematics Department, Illinois State University, Normal, USA 61790-4520"],"affiliations":[{"raw_affiliation_string":"4520 Mathematics Department, Illinois State University, Normal, IL, 61790-4520, USA","institution_ids":["https://openalex.org/I47301684"]},{"raw_affiliation_string":"4520 Mathematics Department, Illinois State University, Normal, USA 61790-4520","institution_ids":["https://openalex.org/I47301684"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112199965","display_name":"Lawrence E. Spence","orcid":null},"institutions":[{"id":"https://openalex.org/I47301684","display_name":"Illinois State University","ror":"https://ror.org/050kcr883","country_code":"US","type":"education","lineage":["https://openalex.org/I47301684"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"L. Spence","raw_affiliation_strings":["4520 Mathematics Department, Illinois State University, Normal, IL, 61790-4520, USA","4520 Mathematics Department, Illinois State University, Normal, USA 61790-4520"],"affiliations":[{"raw_affiliation_string":"4520 Mathematics Department, Illinois State University, Normal, IL, 61790-4520, USA","institution_ids":["https://openalex.org/I47301684"]},{"raw_affiliation_string":"4520 Mathematics Department, Illinois State University, Normal, USA 61790-4520","institution_ids":["https://openalex.org/I47301684"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5051716892"],"corresponding_institution_ids":["https://openalex.org/I47301684"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":2.4385,"has_fulltext":false,"cited_by_count":46,"citation_normalized_percentile":{"value":0.88970098,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"54","issue":"2","first_page":"101","last_page":"107"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9993000030517578,"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"}},"topics":[{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9993000030517578,"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/T11130","display_name":"Coding theory and cryptography","score":0.9962999820709229,"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":0.9850000143051147,"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/modulo","display_name":"Modulo","score":0.8389444947242737},{"id":"https://openalex.org/keywords/linear-subspace","display_name":"Linear subspace","score":0.8132938742637634},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8045921921730042},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7332547307014465},{"id":"https://openalex.org/keywords/gf","display_name":"GF(2)","score":0.6255766153335571},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5905172824859619},{"id":"https://openalex.org/keywords/vector-space","display_name":"Vector space","score":0.5821967124938965},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5784440040588379},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.5720657110214233},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.48358553647994995},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.44129371643066406},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4285218119621277},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.11300382018089294},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06706324219703674}],"concepts":[{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.8389444947242737},{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.8132938742637634},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8045921921730042},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7332547307014465},{"id":"https://openalex.org/C156350748","wikidata":"https://www.wikidata.org/wiki/Q5513324","display_name":"GF(2)","level":3,"score":0.6255766153335571},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5905172824859619},{"id":"https://openalex.org/C13336665","wikidata":"https://www.wikidata.org/wiki/Q125977","display_name":"Vector space","level":2,"score":0.5821967124938965},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5784440040588379},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.5720657110214233},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.48358553647994995},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.44129371643066406},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4285218119621277},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.11300382018089294},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06706324219703674},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10623-009-9311-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-009-9311-1","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.513.4792","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.513.4792","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://math.illinoisstate.edu/psissok/publ/3spread.pdf","raw_type":"text"}],"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/W47480194","https://openalex.org/W1511980337","https://openalex.org/W1512937197","https://openalex.org/W1600903322","https://openalex.org/W1965142549","https://openalex.org/W1965194482","https://openalex.org/W1995134558","https://openalex.org/W2006630435","https://openalex.org/W2014127597","https://openalex.org/W2016364847","https://openalex.org/W2031876696","https://openalex.org/W2045307171","https://openalex.org/W2065286834","https://openalex.org/W2075413438","https://openalex.org/W2083780655","https://openalex.org/W2089377476","https://openalex.org/W2130229411","https://openalex.org/W2943241712"],"related_works":["https://openalex.org/W843373033","https://openalex.org/W2587136861","https://openalex.org/W1992663735","https://openalex.org/W4289750385","https://openalex.org/W2883532523","https://openalex.org/W4246811655","https://openalex.org/W2785547368","https://openalex.org/W2390270234","https://openalex.org/W2348948427","https://openalex.org/W2051311399"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":10},{"year":2015,"cited_by_count":6},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":4}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}