An approach to normal polynomials through symmetrization and symmetric reduction

Darien Connolly, Calvin George, Xiang-dong Hou +2

An irreducible polynomial $f\in {\mathbb{F}}_q[X]$ of degree $n$ is {\em normal} over ${\mathbb{F}}_q$ if and only if its roots $r,r^q,\dots ,r^{q^{n-1}}$ satisfy the condition $Δ_n(r, r^q,\dot…