Small Point Sets that Meet All Generators of W(2n+1,q)

被引：0

作者：

Klaus Metsch

机构：

[1] Mathematisches Institut,

来源：

Designs, Codes and Cryptography | 2004年 / 31卷

关键词：

polar space; ovoid; blocking set;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let W(2n+1,q), n≥1, be the symplectic polar space of finite order q and (projective) rank n. We investigate the smallest cardinality of a set of points that meets every generator of W(2n+1,q). For q even, we show that this cardinality is qn+1+q{n−1, and we characterize all sets of this cardinality. For q odd, better bounds are known.

引用

页码：283 / 288

页数：5

共 13 条

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[7] Szönyi T.(1981)Covers amd bocking sets of classical generalized quadrangles Geom. Dedicata 10 135-144
[8] Sziklai P.(undefined)The sets closest to ovoids in undefined undefined undefined-undefined
[9] Metsch K.(undefined)(2 undefined undefined undefined-undefined
[10] Metsch K.(undefined) + 1, undefined undefined undefined-undefined

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