Curves with many points and configurations of hyperplanes over finite fields

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10.1006:ffta.1999.0262.pdf

Date

1999-10-01

Author

Özbudak, Ferruh

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We establish a correspondence between a class of Kummer extensions of the rational function field and configurations of hyperplanes in an affine space. Using this correspondence, we obtain explicit curves over finite fields with many rational points. Some of our examples almost attain the Oesterle bound. (C) 1999 Academic Press.

Subject Keywords

Theoretical Computer Science, General Engineering, Algebra and Number Theory, Applied Mathematics

URI

https://hdl.handle.net/11511/40935

Journal

FINITE FIELDS AND THEIR APPLICATIONS

DOI

https://doi.org/10.1006/ffta.1999.0262

Collections

Department of Mathematics, Article

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Citation Formats

F. Özbudak, “Curves with many points and configurations of hyperplanes over finite fields,” FINITE FIELDS AND THEIR APPLICATIONS, pp. 436–449, 1999, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/40935.