Elliptic curves and explicit enumeration of irreducible polynomials with two coefficients prescribed

M. Moisio, K. Ranto

Let $F_q$ be a finite field of characteristic $p=2,3$. We give the number of irreducible polynomials $x^m+a_{m-1}x^{m-1}+...+a_0\in\F_q[x]$ with $a_{m-1}$ and $a_{m-3}$ prescribed…