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From any two $\\bar{q}$-linearized polynomials $L_1,L_2 \\in \\overline{\\mathbb{F}}_q[T]$ of degree $q$, we construct an ordinary curve $\\mathcal{X}_{(L_1,L_2)}$ of genus $(q-1)^2$ which is a generalized Artin-Schreier cover of the projective line $\\mathbb{P}^1$. 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