PRIMITIVE POLYNOMIALS OVER FINITE-FIELDS

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 less-than-or-equal-to 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).