It is known that Drinfeld modular curves can be used to construct asymptotically optimal towers of curves over finite fields. Using reductions of the Drinfeld modular curves X 0 Γ°nΓ, we try to find individual curves over finite fields with many rational points. The main idea is to divide by an Atkin
β¦ LIBER β¦
On Kummer covers with many rational points over finite fields
β Scribed by Arnaldo Garcia; Alvaro Garzon
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 190 KB
- Volume
- 185
- Category
- Article
- ISSN
- 0022-4049
No coin nor oath required. For personal study only.
β¦ Synopsis
We give a simple and e ective method for the construction of algebraic curves over ΓΏnite ΓΏelds with many rational points. The curves constructed are Kummer covers or ΓΏbre products of Kummer covers of the projective line.
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