Motivated by applications to $2$-level secret sharing schemes, we investigate $k$-arcs contained in a $(q + 1)$-arc $\Gamma$ of $\mathrm{PG}(3, q)$, $q$ even, which have only a small number of focuses on a real axis of $\Gamma$. Doing so, we also investigate hyperfocused and sharply focused arcs contained in a translation oval of $\mathrm{PG}(2,q)$.
Projective $k$-arcs and $2$-level secret-sharing schemes
KORCHMAROS, Gabor;SONNINO, Angelo
2012-01-01
Abstract
Motivated by applications to $2$-level secret sharing schemes, we investigate $k$-arcs contained in a $(q + 1)$-arc $\Gamma$ of $\mathrm{PG}(3, q)$, $q$ even, which have only a small number of focuses on a real axis of $\Gamma$. Doing so, we also investigate hyperfocused and sharply focused arcs contained in a translation oval of $\mathrm{PG}(2,q)$.File in questo prodotto:
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