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

DOI10.1007/s10623-012-9706-2zbMath1326.11030OpenAlexW1994214263MaRDI QIDQ2439739

Burcu Gülmez Temür, Ferruh Özbudak

Publication date: 17 March 2014

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-012-9706-2

zbMATH Keywords

curves with many points over finite fieldsfibre productsKummer covers

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Curves over finite and local fields (11G20) Finite ground fields in algebraic geometry (14G15)

Related Items (4)

Reciprocal polynomials and curves with many points over a finite field ⋮ Complete characterization of some permutation polynomials of the form \(x^r (1+ax^{s_1(q-1)}+bx^{s_2(q-1)})\) over \(\mathbb{F}_{q^2}\) ⋮ Classification of some quadrinomials over finite fields of odd characteristic ⋮ Further results on fibre products of Kummer covers and curves with many points over finite fields

Uses Software

• manYPoints

Cites Work

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• Algebraic function fields and codes
• Kummer curves and their fibre products with many rational points
• On Kummer covers with many rational points over finite fields.
• Curves with many points and configurations of hyperplanes over finite fields
• Fibre products of Kummer covers and curves with many points
• Tables of curves with many points

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