Kummer extensions of function fields with many rational places

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2005

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Gülmez Temur, Burcu

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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.

Subject Keywords

Algebra.

URI

http://etd.lib.metu.edu.tr/upload/3/12606253/index.pdf
https://hdl.handle.net/11511/15289

Collections

Graduate School of Natural and Applied Sciences, Thesis

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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.