On the minimum blocking semioval in PG(2,11)

2023/05/08 by Dover, Jeremy M. · 1 citation
#51E21 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2305.04907

Abstract

A blocking semioval is a set of points in a projective plane that is both a blocking set (i.e., every line meets the set, but the set contains no line) and a semioval (i.e., there is a unique tangent line at each point). The smallest size of a blocking semioval is known for all finite projective planes of order less than 11; we investigate the situation in PG(2,11).

Cited by

• Generalizing blocking semiovals in finite projective planes

Related

• Generalizing blocking semiovals in finite projective planes
• Blocking Planes by Lines in PG(n,q)
• Semiovals in PG(2,8) and PG(2,9)
• Minimal multiple blocking sets
• A new lower bound for the size of an affine blocking set