The $a$-number of $y^n=x^m+x$ over finite fields

Behrooz Mosallaei, Sepideh Farivar, Farzaneh Ghanbari +1

This paper presents a formula for $a$-number of certain maximal curves characterized by the equation $y^{\frac{q+1}{2}}=x^m+x$ over the finite field ${\mathbb{F}}_{q^2}$. $a$-num…