Existence of pencils with nonblocking hypersurfaces

Abstract

We prove that there is a pencil of hypersurfaces in ${\mathbb{P}}^n$ of any given degree over a finite field ${\mathbb{F}}_q$ such that every ${\mathbb{F}}_q$-member of the pencil is not blocking with respect to ${\mathbb{F}}_q$-lines.

8 pages

References in corpus (1)

• Plane curves giving rise to blocking sets over finite fields

Cited by in corpus (2)

• Mutual position of two smooth quadrics over finite fields
• Proportion of blocking curves in a pencil