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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Stefano Innamorati & Mauro Zannetti, 2021. "The Shape of the (15,3)-Arc of PG(2,7)," Mathematics, MDPI, vol. 9(5), pages 1-16, February.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:5:p:486-:d:506901
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