Drinfeld Modules of Rank 1 and Algebraic Curves with Many Rational Points |
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Authors: | Chaoping Xing Harald Niederreiter |
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Affiliation: | (1) Austrian Academy of Sciences, Wien, Austria, AT |
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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. Received 21 July 1997; in revised form 5 February 1998 |
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Keywords: | 1991 Mathematics Subject Classification: 11G09 11G20 11R58 14G15 14H05 11T71 94B27 |
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