Finite number of fibre products of Kummer covers and curves with many points over finite fields

Date

2014-03-01

Author

Özbudak, Ferruh

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We study fibre products of a finite number of Kummer covers of the projective line over finite fields. We determine the number of rational points of the fibre product over a rational point of the projective line, which improves the results of Ozbudak and Temur (Appl Algebra Eng Commun Comput 18:433-443, 2007) substantially. We also construct explicit examples of fibre products of Kummer covers with many rational points, including a record and two new entries for the current table (http://www.manypoints.org, 2011).

Subject Keywords

Curves with many points over finite fields, Kummer covers, Fibre products

URI

https://hdl.handle.net/11511/46787

Journal

DESIGNS CODES AND CRYPTOGRAPHY

DOI

https://doi.org/10.1007/s10623-012-9706-2

Collections

Department of Mathematics, Article

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Citation Formats

F. Özbudak, “Finite number of fibre products of Kummer covers and curves with many points over finite fields,” DESIGNS CODES AND CRYPTOGRAPHY, pp. 385–404, 2014, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/46787.