On the duals of certain d

详细信息    查看全文

• 作者：Hiroaki Taniguchi
• 关键词：Dual hyperoval
• 刊名：Finite Fields and Their Applications
• 出版年：2009
• 出版时间：December 2009
• 年：2009
• 卷：15
• 期：6
• 页码：673-681
• 全文大小：177 K

文摘

Let d2. A construction of d-dimensional dual hyperovals in PG(2d+1,2) using quadratic APN functions was discovered by Yoshiara in [S. Yoshiara, Dimensional dual hyperovals associated with quadratic APN functions, Innov. Incidence Geom., in press]. In this note, we prove that the duals of the d-dimensional dual hyperovals in PG(2d+1,2) constructed from quadratic APN functions are also d-dimensional dual hyperovals in PG(2d+1,2) if, and only if, d is even. Some examples are presented.