Drinfeld Modules of Rank 1 and Algebraic Curves with Many Rational Points |
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Authors: | Chaoping Xing and Harald Niederreiter |
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Abstract: | We construct algebraic curves C defined over a finite prime field such that the number of -rational points of C is large relative to the genus of C. The methods of construction are based on the relationship between algebraic curves and their function fields, as well as on narrow ray class extensions obtained from Drinfeld modules of rank 1. |
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