COMPLETE CAPS IN PROJECTIVE SPACE WHICH ARE DISJOINT FROM A SUBSPACE OF CODIMENSION TWO
COMPLETE CAPS IN PROJECTIVE SPACE WHICH ARE DISJOINT FROM A SUBSPACE OF CODIMENSION TWO
复制标题
与二维子空间不相交的射影空间中的完全大写
DOI：
10.1007/978-1-4613-0283-4_21
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发表时间：
2004
期刊：
影响因子：
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通讯作者：
D. Wehlau
中科院分区：
文献类型：
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作者：
D. Wehlau
在2阶域上，我们考虑那些与射影空间的余维2子空间不相交的完全帽。我们推导出这样一个上限必须满足的限制性条件才能完备。利用这些条件，我们得到了在至少5个点上不满足所有超平面的完全帽的显式描述。特别地，我们确定了所有维度中所有这样的完整帽的基数集。
Working over the field of order 2 we consider those complete caps which are disjoint from some codimension 2 subspace of projective space. We derive restrictive conditions which such a cap must satisfy in order to be complete. Using these conditions we obtain explicit descriptions of complete caps which do not meet every hyperplane in at least 5 points. In particular, we determine the set of cardinalities of all such complete caps in all dimensions.