17 citations · 17 across the 1 of their papers we have counts for
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The approach of St"ohr-Voloch to the Hasse-Weil bound with applications to optimal curves and plane arcs
Fernando Torres
This is an expository paper concerning topics on rational points of curves defined over finite fields based on a paper by St"ohr and Voloch.
On the genus of a maximal curve
Gabor Korchmaros, Fernando Torres
Previous results on genera g of F_{q^2}-maximal curves are improved: (1) Either g\leq (q^2-q+4)/6, or g=\lfloor(q-1)^2/4\rfloor, or g=q(q-1)/2; (2) The hypothesis on the existence…
On complete arcs arising from plane curves
M. Giulietti, F. Pambianco, F. Torres +1
We show that the set of F_q-rational points of either certain Fermat curves or certain F_q-Frobenius non-classical plane curves is a complete (k,d)-arc in P^2(F_q), where k and d a…
Remarks on plane maximal curves
Angela Aguglia, Gabor Korchmaros, Fernando Torres
Some new results on plane F_{q^2}-maximal curves are stated and proved. It is known that the degree d of such curves is upper bounded by q+1 and that d=q+1 if and only if the curve…