V. Nourozi

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20242026

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math.NT2024

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 $F_{q^{2}}$ . $a$ -num…

math.NT2024

The $a$ -number of $y^{q^{2} + q + 1} = x^{q^{2} + 1} + x^{q}$ over finite field

Vahid Nourozi, Behrooz Mosallaei

In this paper, we compute a formula for the $a$ -number of curve $X$ given by the equation $y^{q^{2} + q + 1} = x^{q^{2} + 1} - x^{q}$ over the finite field $F_{q^{2}}$ . T…

The a-number of yn=xm+x over finite fields

The a-number of yq2+q+1=xq2+1+xq over finite field

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

The $a$ -number of $y^{q^{2} + q + 1} = x^{q^{2} + 1} + x^{q}$ over finite field