The a-number of the Serre-type maximal curves of Abdón-Bezerra-Quoos

Mahyar Shafighi

For every prime power $q$, we determine the $a$-number of the Serre-type maximal curves $X(q,n)$: $y^{q^2}-y=x^{(q^n+1)/(q+1)}$ over ${\mathbb{F}}_{q^{2n}}$, $n\ge 3$ odd, introduced…