Infinite family of large complete arcs in PG(2, q
n
), with q odd and n > 1 odd |
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| Authors: | Gábor Korchmáros Nicola Pace |
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| Institution: | 1. Dipartimento di Matematica e Informatica, Università della Basilicata, Viale dell’Ateneo Lucano, 10, 85100, Potenza, Italy
2. Department of Mathematical Sciences, Florida Atlantic University, 777 Glades Road, Boca Raton, FL, 33431, USA
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| Abstract: | For q odd and n > 1 odd, a new infinite family of large complete arcs K′ in PG(2, q n ) is constructed from complete arcs K in PG(2, q) which have the following property with respect to an irreducible conic ${\mathcal{C}}$ in PG(2, q): all the points of K not in ${\mathcal{C}}$ are all internal or all external points to ${\mathcal{C}}$ according as q ≡ 1 (mod 4) or q ≡ 3 (mod 4). |
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