Further results on rational points of the curve $$\displaystyle y^{q^n}-y=\gamma x^{q^h+1} - \alpha $$ y q n - y = γ x q h + 1 - α over $${\mathbb {F}}_{q^m}$$ F q m

Author:

Coşgun Ayhan,Özbudak Ferruh,Saygı Zülfükar

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computer Science Applications

Reference12 articles.

1. Niederreiter H., Xing C.: Algebraic Geometry in Coding Theory and Cryptography. Princeton University Press, Princeton (2009).

2. Stichtenoth, H.: Algebraic Function Fields and Codes. Springer, Berlin (2009).

3. Tsfasman M.A., Vladut S.G., Nogin D.: Algebraic Geometric Codes: Basic Notions. American Mathematical Society, Providence (2007).

4. Niederreiter H., Xing C.: Rational Points on Curves over Finite Fields: Theory and Applications. Cambridge University Press, Cambridge (2001).

5. Özbudak F., Saygı Z.: Rational points of the curve $$y^{q^n}-y=\gamma x^{q^h+1} - \alpha $$ y q n - y = γ x q h + 1 - α . In: Larcher G., Pillichshammer F., Winterhof A., Xing C. (eds.) Applied Algebra and Number Theory. Cambridge University Press, Cambridge (2014).

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1. On the number of rational points on Artin-Schreier hypersurfaces;Finite Fields and Their Applications;2023-09

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