Marcugini et al. proved, by computer-based proof, the unicity of the maximum (k,3)arc in PG(2,7). In this paper, we show how the (15,3)-arc in PG(2,7) may be described using only geometrical properties. The description we provide, believing it is novel, relies on the union of a conic and a complete external quadrangle.
The shape of the (15,3)-arc of PG(2,7)
Stefano Innamorati;Mauro Zannetti
2021-01-01
Abstract
Marcugini et al. proved, by computer-based proof, the unicity of the maximum (k,3)arc in PG(2,7). In this paper, we show how the (15,3)-arc in PG(2,7) may be described using only geometrical properties. The description we provide, believing it is novel, relies on the union of a conic and a complete external quadrangle.File in questo prodotto:
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