Small complete caps in three-dimensional Galois spaces

详细信息    查看全文

• 作者：Daniele Bartoli ; Giorgio Faina ; Massimo Giulietti
• 关键词：51E20
• 刊名：Finite Fields and Their Applications
• 出版年：2013
• 出版时间：November, 2013
• 年：2013
• 卷：24
• 期：Complete
• 页码：184-191
• 全文大小：209 K

文摘

In a three-dimensional Galois space of odd order m>qm>, the smallest complete caps appeared in the literature have size approximately and were presented by Pellegrino in 1998. In this paper, a major gap in the proof of their completeness is pointed out. On the other hand, we show that a variant of Pellegrino?s method provides the smallest known complete caps for each odd m>qm> between 100 and 30?000.