The Shape of the (15,3)-Arc of PG(2,7)

Stefano Innamorati and Mauro Zannetti
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Stefano Innamorati: Department of Industrial and Information Engineering and of Economics, University of L’Aquila, Piazzale Ernesto Pontieri, 1, Monteluco di Roio, I-67100 L’Aquila, Italy
Mauro Zannetti: Department of Industrial and Information Engineering and of Economics, University of L’Aquila, Piazzale Ernesto Pontieri, 1, Monteluco di Roio, I-67100 L’Aquila, Italy

Mathematics, 2021, vol. 9, issue 5, 1-16

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.

Keywords: ( k ,3)-arc; NMDS code; complete quadrangle (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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