An arc of size $k$ (briefly: a $k$-arc) in an inversive plane is defined as a set consisting of $k$ points no four of which lie on the same circle. An infinite family of large $k$-arcs in the inversive plane $\mathcal{M}(q)$ over a finite field $\mathrm{GF}(q)$, with $q\equiv 1\pmod{3}$ is constructed.
Large $k$-arcs in inversive planes of odd order
SONNINO, Angelo
1999-01-01
Abstract
An arc of size $k$ (briefly: a $k$-arc) in an inversive plane is defined as a set consisting of $k$ points no four of which lie on the same circle. An infinite family of large $k$-arcs in the inversive plane $\mathcal{M}(q)$ over a finite field $\mathrm{GF}(q)$, with $q\equiv 1\pmod{3}$ is constructed.File in questo prodotto:
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