The dual Yoshiara construction gives new extended generalized quadrangles
| dc.contributor.author | Barwick, S. | |
| dc.contributor.author | Brown, M. | |
| dc.date.issued | 2004 | |
| dc.description.abstract | A Yoshiara family is a set of q+3 planes in PG(5,q),q even, such that for any element of the set the intersection with the remaining q+2 elements forms a hyperoval. In 1998 Yoshiara showed that such a family gives rise to an extended generalized quadrangle of order (q+1,q−1). He also constructed such a family S(〇) from a hyperoval 〇 in PG(2,q). In 2000 Ng and Wild showed that the dual of a Yoshiara family is also a Yoshiara family. They showed that if 〇 has o-polynomial a monomial and 〇 is not regular, then the dual of S(〇) is a new Yoshiara family. This article extends this result and shows that in general the dual of S(〇) is a new Yoshiara family, thus giving new extended generalized quadrangles. | |
| dc.description.statementofresponsibility | S. G. Barwick and Matthew R. Brown | |
| dc.description.uri | http://www.elsevier.com/wps/find/journaldescription.cws_home/622824/description#description | |
| dc.identifier.citation | European Journal of Combinatorics, 2004; 25(3):377-382 | |
| dc.identifier.doi | 10.1016/j.ejc.2003.09.007 | |
| dc.identifier.issn | 0195-6698 | |
| dc.identifier.issn | 1095-9971 | |
| dc.identifier.orcid | Barwick, S. [0000-0001-9492-0323] | |
| dc.identifier.uri | http://hdl.handle.net/2440/3549 | |
| dc.language.iso | en | |
| dc.publisher | Academic Press Ltd Elsevier Science Ltd | |
| dc.relation.grant | ARC | |
| dc.source.uri | https://doi.org/10.1016/j.ejc.2003.09.007 | |
| dc.title | The dual Yoshiara construction gives new extended generalized quadrangles | |
| dc.type | Journal article | |
| pubs.publication-status | Published |