Blocking sets of tangent and external lines to a hyperbolic quadric in $PG(3, q), q$ even

[摘要] Let $\mathcal{H}$ be a fixed hyperbolic quadric in the three-dimensional projective space $PG(3, q)$, where $q$ is a power of 2. Let $\mathbb{E}$ (respectively $\mathbb{T}$) denote the set of all lines of $PG(3, q)$ which are external (respectively tangent) to $\mathcal{H}$. We characterize the minimum size blocking sets of $PG(3, q)$ with respect to each of the line sets $\mathbb{T}$ and $\mathbb{E} \cup \mathbb{T}$.

[学科分类] 数学（综合）

[关键词] Projective space;blocking set;irreducible conic;hyperbolic quadric;generalized quadrangle;ovoid