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

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11697/159868
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