A new family of dual hyperovals in with d

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• 作者：Hiroaki Taniguchi
• 关键词：Dual hyperoval
• 刊名：Discrete Mathematics
• 出版年：2009
• 出版时间：28 January 2009
• 年：2009
• 卷：309
• 期：2
• 页码：418-429
• 全文大小：702 K

文摘

In 2003, a class of d-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 . However, these dual hyperovals are not isomorphic to the Veronesean dual hyperovals and do not satisfy Property (T). Hence, we conclude that these are new dual hyperovals.