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A construction of curves over finite fields

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Publication:2717625
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DOI10.4064/aa98-2-8zbMath1023.11030OpenAlexW2021152047MaRDI QIDQ2717625

Luciane Quoos, Arnaldo Garcia

Publication date: 17 June 2001

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa98-2-8


zbMATH Keywords

rational pointsKummer extension


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 (7)

Bases of Riemann-Roch spaces from Kummer extensions and algebraic geometry codes ⋮ Pure gaps on curves with many rational places ⋮ Weierstrass semigroups from Kummer extensions ⋮ Reciprocal polynomials and curves with many points over a finite field ⋮ Multi-point codes over Kummer extensions ⋮ On Kummer covers with many rational points over finite fields. ⋮ A construction of a class of maximal Kummer curves.






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