Planar oval sets in Desarguesian planes of even order

被引：1
|
作者：
De Feyter, N [1 ]
机构：
[1] State Univ Ghent, Dept Pure Math & Comp Algebra, B-9000 Ghent, Belgium
来源：
DESIGNS CODES AND CRYPTOGRAPHY | 2004年 / 32卷 / 1-3期
关键词：
Laguerre plane; oval; planar oval set; (q plus t)-arc of type (0; 2; t);
D O I：
10.1023/B:DESI.0000029216.82297.fb
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
A planar oval set in PG(2; q); q even, is a set of q(2) ovals in PG(2; q) with common nucleus which intersect pairwise in one point. We classify such sets satisfying an extra condition, namely the regular Desarguesian planar oval sets, as the sets which consist of the images of an oval under all elations with center the nucleus of that oval.
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页码：111 / 119
页数：9
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