Curves over Finite Fields Attaining the Hasse-Weil Upper Bound

Arnaldo Garcia · Birkhäuser Basel eBooks · 2001

Curves over finite fields (whose cardinality is a square) attaining the Hasse-Weil upper bound for the number of rational points are called maximal curves . Here we deal with three problems on maximal curves: Determination of the possible genera of maximal curves. Determination of explicit equations for maximal curves. Classification of maximal curves having a fixed genus. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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