Question: Finding minimal polynomial in GF

Dear All,

I'm a beginner who is learning Finite Field under the help of Maple. I'm wondering is there a command to compute the minimal polynomials for the members of a finite field?

For instance, for GF(16) realized by the polynomial a^4 = a + 1,we know that for a's minimal polynomial is x^4 + x + 1, a^3's minimal polynomial is x^4 + x^3 + x^2 + x + 1. In Maple, how do I reproduce such result?

Thank you very much for your help,



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