The number of points on certain algebraic curves over finite fields
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Publication:3476959
DOI10.1080/00927878908823835zbMath0699.14027OpenAlexW2065274398MaRDI QIDQ3476959
Publication date: 1989
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927878908823835
Rational points (14G05) Arithmetic ground fields for curves (14H25) Curves over finite and local fields (11G20) Finite ground fields in algebraic geometry (14G15)
Related Items (18)
Further results on rational points of the curve \(y^{q^n}-y=\gamma x^{q^h+1}-\alpha \) over \(\mathbb F_{q^m}\) ⋮ Weil bounds for singular curves ⋮ Exact evaluation of second moments associated with some families of curves over a finite field ⋮ Artin-Schreier curves given by \(\mathbb{F}_q\)-linearized polynomials ⋮ Quadratic functions and maximal Artin-Schreier curves ⋮ On the number of rational points on Artin-Schreier hypersurfaces ⋮ Rational points and zeta functions of some curves over finite fields ⋮ The number of rational points of a class of superelliptic curves ⋮ A note on certain maximal curves ⋮ Polynomial description of binary linear codes and related properties ⋮ On additive polynomials and certain maximal curves ⋮ On diagonal equations over finite fields ⋮ A construction of a class of maximal Kummer curves. ⋮ The number of solutions of certain diagonal equations over finite fields ⋮ On the curve \(y^n = x^m + x\) over finite fields ⋮ The divisibility modulo 24 of Kloosterman sums on \(\text{GF}(2^m)\), \(m\) even ⋮ Elementary abelian \(p\)-extensions of algebraic function fields ⋮ The number of rational points of a class of Artin-Schreier curves.
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