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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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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.