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Publisher: SpringerSubject: Curves with many points over finite fields

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    Citation - WoS: 6
    Citation - Scopus: 5
    Finite Number of Fibre Products of Kummer Covers and Curves With Many Points Over Finite Fields
    (Springer, 2014) Ozbudak, Ferruh; Temur, Burcu Gulmez
    We study fibre products of a finite number of Kummer covers of the projective line over finite fields. We determine the number of rational points of the fibre product over a rational point of the projective line, which improves the results of Ozbudak and Temur (Appl Algebra Eng Commun Comput 18:433-443, 2007) substantially. We also construct explicit examples of fibre products of Kummer covers with many rational points, including a record and two new entries for the current table (http://www.manypoints.org, 2011).