Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4648671 | Discrete Mathematics | 2009 | 12 Pages |
Abstract
In 2003, a class of dd-dimensional dual hyperovals was constructed by Buratti and Del Fra [M. Buratti, A. Del Fra, Semi-Boolean quadruple systems and dimensional dual hyperovals, Adv. Geom. 3 (2003) 245–253] based on Huybrechts’ dual hyperovals. We construct a family based on Veronesean dual hyperovals in PG(d(d+3)/2,2). However, these dual hyperovals are not isomorphic to the Veronesean dual hyperovals and do not satisfy Property (T)(T). Hence, we conclude that these are new dual hyperovals.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Hiroaki Taniguchi,