Infinite family of large complete arcs in PG(2, qn), with q odd and n > 1 odd

For q odd and n > 1 odd, a new infinite family of large complete arcs K′ in PG(2, qn) 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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