A note on strong blocking sets and higgledy-piggledy sets of lines
arxiv(2024)
摘要
This paper studies strong blocking sets in the N-dimensional finite
projective space PG(N,q). We first show that certain unions of
blocking sets cannot form strong blocking sets, which leads to a new lower
bound on the size of a strong blocking set in PG(N,q).
Our second main result shows that, for q>2/ln(2)(N+1), there exists
a subset of 2N-2 lines of a Desarguesian line spread in PG(N,q),
N odd, in higgledy-piggledy arrangement; thus giving rise to a strong
blocking set of size (2N-2)(q+1).
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