Further results on rational points of the curve \(y^{q^n}-y=\gamma x^{q^h+1}-\alpha \) over \(\mathbb F_{q^m}\)

DOI10.1007/S10623-015-0107-1zbMath1392.11037OpenAlexW2471986192MaRDI QIDQ281297

Ayhan Coşgun, Ferruh Özbudak, Zülfükar Saygı

Publication date: 10 May 2016

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

Full work available at URL: https://doi.org/10.1007/s10623-015-0107-1

zbMATH Keywords

finite fieldsrational pointsalgebraic curvesArtin-Schreier type curves

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Rational points (14G05) Curves over finite and local fields (11G20) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Related Items (1)

On the number of rational points on Artin-Schreier hypersurfaces

Cites Work

• Cross-correlations of quadratic form sequences in odd characteristic
• The number of rational points of a class of Artin-Schreier curves.
• The number of points on certain algebraic curves over finite fields
• Algebraic Function Fields and Codes
• Further evaluations of Weil sums
• Explicit evaluations of some Weil sums
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