ON A F q 2 - MAXIMAL CURVE OF GENUS q ( q − 3 ) / 6
نویسندگان
چکیده
We show that a F q 2-maximal curve of genus q(q − 3)/6 in characteristic three is unique up to F q 2-isomorphism unless an unexpected situation occurs.
منابع مشابه
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We study arithmetical and geometrical properties of maximal curves, that is, curves defined over the finite field F q 2 whose number of F q 2-rational points reaches the Hasse-Weil upper bound. Under a hypothesis on non-gaps at a rational point, we prove that maximal curves are F q 2-isomorphic to y q + y = x m , for some m ∈ Z +. As a consequence we show that a maximal curve of genus g = (q − ...
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