Abstract
We present a general method of constructing global function fields with many rational places based on Drinfeld modules of rank 1 and narrow ray class fields. This method leads to many improvements on previous constructions. We tabulate improvements for constant fields of order q=4,8,9,16, and 27.
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Niederreiter, H., Xing, C. (1998). A general method of constructing global function fields with many rational places. In: Buhler, J.P. (eds) Algorithmic Number Theory. ANTS 1998. Lecture Notes in Computer Science, vol 1423. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0054892
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DOI: https://doi.org/10.1007/BFb0054892
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