Primitive Polynomials Over Finite Fields
Tom Hansen, Gary L. Mullen · Mathematics of Computation · 1992
In this note we extend the range of previously published tables of primitive polynomials over finite fields. For each ${p^n} < {10^{50}}$ with $p \leq 97$ we provide a primitive polynomial of degree n over ${F_p}$. Moreover, each polynomial has the minimal number of nonzero coefficients among all primitives of degree n over ${F_p}$.