Tables of curves with many points
Gerard van der Geer, Marcel van der Vlugt · Mathematics of Computation · 1999
These tables record results on curves with many points over finite fields. For relatively small genus ( 0 ≤ g ≤ 50 0\leq g \leq 50 ) and q q a small power of 2 2 or 3 3 we give in two tables the best presently known bounds for N q ( g ) N_{q}(g) , the maximum number of rational points on a smooth absolutely irreducible projective curve of genus g g over a field F q \mathbb {F}_{q} of cardinality q q . In additional tables we list for a given pair ( g , q ) (g,q) the type of construction of the best curve so far, and we give a reference to the literature where such a curve can be found.