The a-number of maximal curves of third largest genus

The $a$-number is an invariant of the isomorphism class of the p-torsion group scheme. In this paper, we compute a closed formula for the $a$-number of $y^q + y = x^{\frac{q+1}{3}}$ and $\sum_{t=1}^{s} y^{q/3^t}= x^{q+1}$ with $q = 3^s$ over the finite field $\mathbb{F}_{q^2}$ using the action of th...

Full description

Bibliographic Details
Main Authors: Vahid Nourozi, Saeed Tafazolian
Format: Article
Language:English
Published: Amirkabir University of Technology 2022-02-01
Series:AUT Journal of Mathematics and Computing
Subjects:
Online Access:https://ajmc.aut.ac.ir/article_4553_c4d0b23d2050389cbeb4e0c4f3608d00.pdf