{ "id": "0803.1597", "version": "v2", "published": "2008-03-11T14:37:19.000Z", "updated": "2008-07-25T10:29:06.000Z", "title": "On the non--existence of certain hyperovals in dual André planes of order $2^{2h}$", "authors": [ "A. Aguglia", "L. Giuzzi" ], "comment": "6 pages; reviewed version with generalisation to some dual Andr\\'e planes, as well as updated proofs", "journal": "Electronic Journal of Combinatorics 15(1): N37 (2008)", "categories": [ "math.CO" ], "abstract": "No regular hyperoval of the Desarguesian affine plane $AG(2,2^{2h})$, with $h>1$, is inherited by a dual Andr\\'e plane of order $2^{2h}$ with dimension 2 over its centre.", "revisions": [ { "version": "v2", "updated": "2008-07-25T10:29:06.000Z" } ], "analyses": { "subjects": [ "51A35", "51E21" ], "keywords": [ "non-existence", "desarguesian affine plane", "dual andre plane", "regular hyperoval" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0803.1597A" } } }