Supplement to Primitive Normal Polynomials Over Finite Fields
Ilene H. Morgan, Gary L. Mullen · Mathematics of Computation · 1994
In the tables that follow, we have given. for each prime power pn < 10550 with p < 97. a primitive normal polynomial of degree n over Fp. Each polynomial listed has minimal weight, i.e.,the minimal number of nonzero coefficients, among all primitive normal polynomials of that degree over Fp. Only the nonzero terms are represented so that, for example, the polynomial x8 +xT +3 over F7 is listed as 8:1, 7:1, 0:3. An asterisk denotes the fact that for the given polynomial f(x), the reciprocal polynomial f(x)* = Xnf(1/X) is also primitive normal. Copies of the tables, either in electronic or hardcopy form, are available upon request from the authors. For further details, we refer to the paper of the same title by the authors in this issue of Mathematics of Computation.