Some examples of simply connected dual hyperovals

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• 作者：Hiroaki Taniguchi ^{taniguchi@dg.kagawa-nct.ac.jp}
• 关键词：05B25 ; 51A45 ; 51E20 ; 51E21
• 刊名：Finite Fields and Their Applications
• 出版年：2013
• 出版时间：July, 2013
• 年：2013
• 卷：22
• 期：Complete
• 页码：45-50
• 全文大小：150 K

文摘

The concept of dimensional dual hyperovals was introduced by Huybrechts and Pasini in 1999. Let . It is conjectured in Yoshiara (2004) that, if d-dimensional dual hyperoval S generates , n-dimensional vector space over , then . Simply connected d-dimensional dual hyperovals are known only for , and . In this note, we will present simply connected d-dimensional dual hyperovals for with , with , and with satisfying some conditions.