3 problems

The newness conjecture for the maximum scattered linear set $\mathcal{L}$
Let $q$ be a prime power, and let $\mathcal{L}$ denote the linear set constructed in the paper in $\operatorname{PG}(1,q^6)$ . A linear set is maximum scattered if it is scattered a…
openFrom papersfinite-geometry linear-sets projective-lines
0 responses
7
Szőnyi's minimum-size conjecture for non-trivial blocking sets
Szőnyi's conjecture. The blocking set $B$ has at least
openFrom papersblocking-sets finite-geometry linear-sets
0 responses
4
The maximal affine-set linearity conjecture
Maximal affine-set linearity conjecture. If $t=s>2$ , then $\mathcal{U}$ is an affine $\operatorname{GF}(s)$ -linear set.
openFrom papersaffine-geometry finite-geometry linear-sets
0 responses
3

The newness conjecture for the maximum scattered linear set L\mathcal{L}L