{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:44:23Z","timestamp":1753893863248,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>In [H. Huang, N.L. Johnson: Semifield planes of order $8^2$, Discrete Math., 80  (1990)], the authors exhibited seven sporadic semifields of order $2^6$, with left nucleus ${\\mathbb F}_{2^3}$ and center ${\\mathbb F}_2$. Following the notation of that paper, these examples are referred as the Huang\u2013Johnson semifields of type $II$, $III$, $IV$, $V$, $VI$, $VII$ and $VIII$. In [N. L. Johnson, V. Jha, M. Biliotti: Handbook of Finite Translation Planes, Pure and Applied Mathematics, Taylor Books, 2007], the question whether these semifields are contained in larger families, rather then sporadic, is posed. In this paper, we first prove that the Huang\u2013Johnson semifield of type $VI$ is isotopic to a cyclic semifield, whereas those of types $VII$ and $VIII$ belong to infinite families recently constructed in [N.L. Johnson, G. Marino, O. Polverino, R. Trombetti: Semifields of order $q^6$ with left nucleus ${\\mathbb F}_{q^3}$ and center ${\\mathbb F}_q$, Finite Fields Appl., 14 (2008)] and [G.L. Ebert, G. Marino, O. Polverino, R. Trombetti: Infinite families of new semifields, Combinatorica, 6 (2009)]. Then, Huang\u2013Johnson semifields of type $II$ and $III$ are extended to new infinite families of semifields of order $q^6$, existing for every prime power $q$.<\/jats:p>","DOI":"10.37236\/516","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T03:56:37Z","timestamp":1578714997000},"source":"Crossref","is-referenced-by-count":1,"title":["A Generalization of Some Huang&amp;ndash;Johnson Semifields"],"prefix":"10.37236","volume":"18","author":[{"given":"N. L.","family":"Johnson","sequence":"first","affiliation":[]},{"given":"Giuseppe","family":"Marino","sequence":"additional","affiliation":[]},{"given":"Olga","family":"Polverino","sequence":"additional","affiliation":[]},{"given":"Rocco","family":"Trombetti","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2011,2,4]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v18i1p29\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v18i1p29\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T23:17:23Z","timestamp":1579303043000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v18i1p29"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,2,4]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2011,1,5]]}},"URL":"https:\/\/doi.org\/10.37236\/516","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2011,2,4]]},"article-number":"P29"}}