On a characterization of certain maximal curves
نویسندگان
چکیده
where C(Fq) denotes the set of Fq-rational points of the curve C. Here we will be interested in maximal(resp. minimal) curves over Fq2 , that is, we will consider curves C attaining Hasse-Weil’s upper (resp. lower) bound: #C(Fq2) = q + 1 + 2gq (resp. q + 1− 2gq). Here we are interested to consider the hyperelliptic curve C given by the equation y = x + 1 over Fq2 . We are going to determine when this curve is maximal over Fq2 . In fact, we show that
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ورودعنوان ژورنال:
- Finite Fields and Their Applications
دوره 10 شماره
صفحات -
تاریخ انتشار 2004