Kummer extensions of function fields with many rational places

Gülmez Temur, Burcu
In this thesis, we give two simple and effective methods for constructing Kummer extensions of algebraic function fields over finite fields with many rational places. Some explicit examples are obtained after a practical search. We also study fibre products of Kummer extensions over a finite field and determine the exact number of rational places. We obtain explicit examples with many rational places by a practical search. We have a record (i.e the lower bound is improved) and a new entry for the table of van der Geer and van der Vlugt.


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Citation Formats
B. Gülmez Temur, “Kummer extensions of function fields with many rational places,” Ph.D. - Doctoral Program, Middle East Technical University, 2005.