The $a$-number of jacobians of certain maximal curves
نویسندگان
1 IMECC/UNICAMP, R. Sergio Buarque de Holanda, 651, Cidade Universitaria, Zeferino Vaz, 13083-859, Campinas, SP, Brazil
2 Faculty of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), 424 Hafez Ave., Tehran 15914, Iran
3 Faculty of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), 424 Hafez Ave., Tehran 15914, Iran
doi
10.22108/toc.2021.124678.1758چکیده
In this paper, we compute a formula for the $a$-number of certain maximal curves given by the equation $y^{q}+y=x^{\frac{q+1}{2}}$ over the finite field $\mathbb{F}_{q^2}$. The same problem is studied for the maximal curve corresponding to $\sum_{t=1}^s y^{q/2^t}=x^{q+1}$ with $q=2^s$, over the finite field $\mathbb{F}_{q^2}$.
