TY  - GEN
T1  - Constructing function fields with many rational places via the Carlitz module
A1  - Gebhardt,Max
Y1  - 2011/11/25
N2  - We consider certain decomposition fields in extensions of \mathbb{F}_{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.
CY  - Saarbrücken
PB  - Universitäts- und Landesbibliothek
AD  - Postfach 151141, 66041 Saarbrücken
UR  - http://scidok.sulb.uni-saarland.de/volltexte/2011/4356
ER  -