Tables of curves with many points |
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| Authors: | Gerard van der Geer Marcel van der Vlugt |
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| Institution: | Faculteit WINS, Universiteit van Amsterdam, Plantage Muidergracht 24, 1018 TV Amsterdam, The Netherlands ; Mathematisch Instituut, Rijksuniversiteit te Leiden, Niels Bohrweg 1, 2300 RA Leiden, The Netherlands |
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| Abstract: | These tables record results on curves with many points over finite fields. For relatively small genus ( ) and  a small power of  or  we give in two tables the best presently known bounds for  , the maximum number of rational points on a smooth absolutely irreducible projective curve of genus  over a field  of cardinality  . In additional tables we list for a given pair  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. |
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