Improvements of the Hasse-Weil-Serre bound over global function fields
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Publication:6655757
DOI10.1016/J.FFA.2024.102538MaRDI QIDQ6655757
Publication date: 27 December 2024
Published in: Finite Fields and their Applications (Search for Journal in Brave)
Kummer extensionHasse-Weil boundArtin-Schreier extensionrational placeelementary abelian \(p\)-extension
Arithmetic theory of algebraic function fields (11R58) Rational points (14G05) Algebraic functions and function fields in algebraic geometry (14H05)
Cites Work
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- An improvement of the Hasse-Weil-Serre bound for curves over some finite fields
- An improvement to the Hasse-Weil bound and applications to character sums, cryptography and coding
- Rational places in extensions and sequences of function fields of Kummer type
- Places of degree one in function fields over finite fields
- Bounding the number of \(\mathbb F_q\)-rational places in algebraic function fields using Weierstrass semigroups
- Kummer covers with many points
- Elementary abelian \(p\)-extensions of algebraic function fields
- An application of the Hasse--Weil bound to rational functions over finite fields
- Algebraic Function Fields and Codes
- Codes From the Suzuki Function Field
- Tables of curves with many points
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