Abstract:
We consider certain decomposition fields in extensions of ?q (Z) by the Carlitz module and give formulas for their genera and numbers of rational places, suitable for automatic computations. By extensive calculations we found some function fields which have more rational places than the known examples of the respective genus.
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Received: 7 September 2001/ Revised version: 19 October 2001
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Gebhardt, M. Constructing function fields¶with many rational places via the Carlitz module. manuscripta math. 107, 89–99 (2002). https://doi.org/10.1007/s002290100226
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DOI: https://doi.org/10.1007/s002290100226