Abstract
We study the relation between k-arcs and dual k-arcs. In particular, we look at the ( q+2)-arcs in PG(2, q) and in PG( q−2, q), q even. It will be shown that the problem of finding all the o-polynomials of the ( q+2)-arcs in PG(2, q), q even, is equivalent with the search for all the points of PG( q−2, q), q even, which extend the normal rational curve {(1, t,… t q−2 )‖∈GF( q) +} to a ( q+2)-arc.
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