{"id":"https://openalex.org/W2168221912","doi":"https://doi.org/10.37236/516","title":"A Generalization of Some Huang&amp;ndash;Johnson Semifields","display_name":"A Generalization of Some Huang&amp;ndash;Johnson Semifields","publication_year":2011,"publication_date":"2011-02-04","ids":{"openalex":"https://openalex.org/W2168221912","doi":"https://doi.org/10.37236/516","mag":"2168221912"},"language":"en","primary_location":{"id":"doi:10.37236/516","is_oa":true,"landing_page_url":"https://doi.org/10.37236/516","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v18i1p29/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v18i1p29/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5107305724","display_name":"Norman L. Johnson","orcid":"https://orcid.org/0000-0003-3636-7579"},"institutions":[{"id":"https://openalex.org/I126307644","display_name":"University of Iowa","ror":"https://ror.org/036jqmy94","country_code":"US","type":"education","lineage":["https://openalex.org/I126307644"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"N. L. Johnson","raw_affiliation_strings":["University of Iowa"],"affiliations":[{"raw_affiliation_string":"University of Iowa","institution_ids":["https://openalex.org/I126307644"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051893940","display_name":"Giuseppe Marino","orcid":"https://orcid.org/0000-0002-2155-2950"},"institutions":[{"id":"https://openalex.org/I71267560","display_name":"University of Naples Federico II","ror":"https://ror.org/05290cv24","country_code":"IT","type":"education","lineage":["https://openalex.org/I71267560"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Giuseppe Marino","raw_affiliation_strings":["Seconda Universita\u0300 degli Studi di Napoli"],"affiliations":[{"raw_affiliation_string":"Seconda Universita\u0300 degli Studi di Napoli","institution_ids":["https://openalex.org/I71267560"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056316631","display_name":"Olga Polverino","orcid":"https://orcid.org/0000-0002-5588-3352"},"institutions":[{"id":"https://openalex.org/I71267560","display_name":"University of Naples Federico II","ror":"https://ror.org/05290cv24","country_code":"IT","type":"education","lineage":["https://openalex.org/I71267560"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Olga Polverino","raw_affiliation_strings":["Seconda Universita\u0300 degli Studi di Napoli"],"affiliations":[{"raw_affiliation_string":"Seconda Universita\u0300 degli Studi di Napoli","institution_ids":["https://openalex.org/I71267560"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056002353","display_name":"Rocco Trombetti","orcid":"https://orcid.org/0000-0001-5915-8513"},"institutions":[{"id":"https://openalex.org/I71267560","display_name":"University of Naples Federico II","ror":"https://ror.org/05290cv24","country_code":"IT","type":"education","lineage":["https://openalex.org/I71267560"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Rocco Trombetti","raw_affiliation_strings":["University of Naples \u201cFederico II\u201d"],"affiliations":[{"raw_affiliation_string":"University of Naples \u201cFederico II\u201d","institution_ids":["https://openalex.org/I71267560"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5107305724"],"corresponding_institution_ids":["https://openalex.org/I126307644"],"apc_list":null,"apc_paid":null,"fwci":0.8875,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.81702075,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"18","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":1.0,"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":1.0,"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":0.9997000098228455,"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":0.9994999766349792,"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/combinatorics","display_name":"Combinatorics","score":0.7316356897354126},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6725612878799438},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.6610643863677979},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5569528937339783},{"id":"https://openalex.org/keywords/center","display_name":"Center (category theory)","score":0.42151787877082825},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.41833603382110596},{"id":"https://openalex.org/keywords/crystallography","display_name":"Crystallography","score":0.1187160313129425},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07339170575141907},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.07120788097381592}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7316356897354126},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6725612878799438},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.6610643863677979},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5569528937339783},{"id":"https://openalex.org/C2779463800","wikidata":"https://www.wikidata.org/wiki/Q5062222","display_name":"Center (category theory)","level":2,"score":0.42151787877082825},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.41833603382110596},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.1187160313129425},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07339170575141907},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.07120788097381592},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.37236/516","is_oa":true,"landing_page_url":"https://doi.org/10.37236/516","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v18i1p29/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:zenodo.org:125201","is_oa":true,"landing_page_url":"https://www.openaccessrepository.it/record/125201","pdf_url":null,"source":{"id":"https://openalex.org/S4306402478","display_name":"INFM-OAR (INFN Catania)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210116497","host_organization_name":"Istituto Nazionale di Fisica Nucleare, Sezione di Catania","host_organization_lineage":["https://openalex.org/I4210116497"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.37236/516","is_oa":true,"landing_page_url":"https://doi.org/10.37236/516","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v18i1p29/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/4","score":0.5299999713897705,"display_name":"Quality Education"}],"awards":[{"id":"https://openalex.org/G2573627744","display_name":null,"funder_award_id":"GNSAGA","funder_id":"https://openalex.org/F4320311030","funder_display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\""},{"id":"https://openalex.org/G7698256304","display_name":null,"funder_award_id":"GNSAGA","funder_id":"https://openalex.org/F4320321873","funder_display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca"}],"funders":[{"id":"https://openalex.org/F4320311030","display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\"","ror":"https://ror.org/01vx64p53"},{"id":"https://openalex.org/F4320321873","display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca","ror":"https://ror.org/0166hxq48"},{"id":"https://openalex.org/F4320334045","display_name":"Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2168221912.pdf","grobid_xml":"https://content.openalex.org/works/W2168221912.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W565377295","https://openalex.org/W1489169640","https://openalex.org/W1491961545","https://openalex.org/W1780737341","https://openalex.org/W1965681097","https://openalex.org/W1982352694","https://openalex.org/W1983010924","https://openalex.org/W1988926352","https://openalex.org/W1998345771","https://openalex.org/W1998520828","https://openalex.org/W2007047265","https://openalex.org/W2024532720","https://openalex.org/W2025392232","https://openalex.org/W2027655755","https://openalex.org/W2048655899","https://openalex.org/W2052656277","https://openalex.org/W2074998958","https://openalex.org/W2129036921","https://openalex.org/W2160266619","https://openalex.org/W2752853835","https://openalex.org/W2912810145","https://openalex.org/W2950283707","https://openalex.org/W3100219806","https://openalex.org/W4233483883","https://openalex.org/W4235346516","https://openalex.org/W6602606630","https://openalex.org/W6603442483","https://openalex.org/W6629319784"],"related_works":["https://openalex.org/W2371138613","https://openalex.org/W2048963458","https://openalex.org/W43109613","https://openalex.org/W2359952343","https://openalex.org/W2080152487","https://openalex.org/W2239445980","https://openalex.org/W2995553446","https://openalex.org/W2120455979","https://openalex.org/W4200527723","https://openalex.org/W3022347918"],"abstract_inverted_index":{"In":[0,56,91],"[H.":[1],"Huang,":[2],"N.L.":[3],"Johnson:":[4],"Semifield":[5],"planes":[6],"of":[7,20,35,46,65,101,112,133,161,170,181,183],"order":[8,21,134,184],"$8^2$,":[9],"Discrete":[10],"Math.,":[11],"80":[12],"(1990)],":[13],"the":[14,33,43,76,98],"authors":[15],"exhibited":[16],"seven":[17],"sporadic":[18],"semifields":[19,45,80,169,182],"$2^6$,":[22],"with":[23,136],"left":[24,137],"nucleus":[25,138],"${\\mathbb":[26,30,139,143],"F}_{2^3}$":[27],"and":[28,54,70,115,141,150,173],"center":[29,142],"F}_2$.":[31],"Following":[32],"notation":[34],"that":[36,97],"paper,":[37,93],"these":[38,79],"examples":[39],"are":[40,81,175],"referred":[41],"as":[42],"Huang\u2013Johnson":[44,99,168],"type":[47,102,171],"$II$,":[48],"$III$,":[49],"$IV$,":[50],"$V$,":[51],"$VI$,":[52],"$VII$":[53,114],"$VIII$.":[55],"[N.":[57],"L.":[58],"Johnson,":[59,125],"V.":[60],"Jha,":[61],"M.":[62],"Biliotti:":[63],"Handbook":[64],"Finite":[66,145],"Translation":[67],"Planes,":[68],"Pure":[69],"Applied":[71],"Mathematics,":[72],"Taylor":[73],"Books,":[74],"2007],":[75],"question":[77],"whether":[78],"contained":[82],"in":[83,123],"larger":[84],"families,":[85],"rather":[86],"then":[87],"sporadic,":[88],"is":[89,104],"posed.":[90],"this":[92],"we":[94],"first":[95],"prove":[96],"semifield":[100],"$VI$":[103],"isotopic":[105],"to":[106,118,177],"a":[107],"cyclic":[108],"semifield,":[109],"whereas":[110],"those":[111],"types":[113],"$VIII$":[116],"belong":[117],"infinite":[119,179],"families":[120,160,180],"recently":[121],"constructed":[122],"[N.L.":[124],"G.":[126,153],"Marino,":[127,154],"O.":[128,155],"Polverino,":[129,156],"R.":[130,157],"Trombetti:":[131,158],"Semifields":[132],"$q^6$":[135],"F}_{q^3}$":[140],"F}_q$,":[144],"Fields":[146],"Appl.,":[147],"14":[148],"(2008)]":[149],"[G.L.":[151],"Ebert,":[152],"Infinite":[159],"new":[162,178],"semifields,":[163],"Combinatorica,":[164],"6":[165],"(2009)].":[166],"Then,":[167],"$II$":[172],"$III$":[174],"extended":[176],"$q^6$,":[185],"existing":[186],"for":[187],"every":[188],"prime":[189],"power":[190],"$q$.":[191]},"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-03-14T08:43:22.919905","created_date":"2025-10-10T00:00:00"}
